{"as_of":"2026-08-22T04:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:26bca522fdfa0f7c2e2d6cffdafc9c1b1acbac4f1a526d26e09bdb78ffe0a7a6","coverage":[{"denominator":95,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":95,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T21:11:56.704404Z","state":"measured"},{"denominator":110,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":110,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":15,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":15,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T14:22:42.426842Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-10T06:56:52.430509Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.09544","snapshot_observed_at":"2026-08-07T14:03:53.919966Z","title":"Song, T.-Z","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.20197","last_updated":"2025-05-26T16:39:58Z","snapshot_observed_at":"2026-08-20T00:05:59.665352Z","submitted_at":"2025-05-26T16:39:58Z","title":"Kira 3: integral reduction with efficient seeding and optimized equation selection","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-07T14:03:53.919966Z"},"links":{"cited_paper":"/paper/2502.09544","citing_paper":"/paper/2505.20197"},"observation_digest":"sha256:8e0ce67afd2fae4269dfcdc9c2406a1a71ed158ff0e39ddc465943c256d6745f","observation_id":"6bf716fe-f3a2-4906-bba0-d57b6f5c6a02","resolution":{"observed_at":"2026-08-07T14:03:53.919966Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.09544","snapshot_observed_at":"2026-08-04T15:45:00.103517Z","title":"Song, T.-Z","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.18730","last_updated":"2026-07-13T05:07:40Z","snapshot_observed_at":"2026-08-09T10:42:33.390203Z","submitted_at":"2025-09-23T07:23:34Z","title":"Tensor Reduction of Sunset by Generating Function","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-04T15:45:00.103517Z"},"links":{"cited_paper":"/paper/2502.09544","citing_paper":"/paper/2509.18730"},"observation_digest":"sha256:68ad36fd9885ad7f9ff4261d7b0bc6842ea068e363143b41a6bd3d96fb8825eb","observation_id":"47cbf4c4-b579-4b4e-b072-712c76ed6d5d","resolution":{"observed_at":"2026-08-04T15:45:00.103517Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"cited_work":{"arxiv_id":"2502.09544","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.09544","snapshot_observed_at":"2026-07-10T06:56:52.430509Z","title":"Song, T.-Z","venue":"hep-ph","work_id":"d7b1c956-37e9-4096-82e0-a0e303e5bf5a","year":2025},"citing_paper":{"arxiv_id":"2512.13794","last_updated":"2026-05-11T15:09:48Z","snapshot_observed_at":"2026-08-15T23:57:29.558870Z","submitted_at":"2025-12-15T19:00:02Z","title":"The spectrum of Feynman-integral geometries at two loops","version":3},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-05-16T21:42:04.525894Z"},"links":{"cited_paper":"/paper/2502.09544","citing_paper":"/paper/2512.13794"},"observation_digest":"sha256:984387207650af71053563461746baf98ff322e09508ce0518fe7b31c99b4f4a","observation_id":"6152c894-4182-4a60-8922-bc030360543e","resolution":{"observed_at":"2026-05-16T21:43:34.966685Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"cited_work":{"arxiv_id":"2502.09544","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.09544","snapshot_observed_at":"2026-07-10T06:56:52.430509Z","title":"Song, T.-Z","venue":"hep-ph","work_id":"d7b1c956-37e9-4096-82e0-a0e303e5bf5a","year":2025},"citing_paper":{"arxiv_id":"2603.11164","last_updated":"2026-04-11T19:05:19Z","snapshot_observed_at":"2026-08-11T16:02:35.127415Z","submitted_at":"2026-03-11T18:00:01Z","title":"Learning to Unscramble: Simplifying Symbolic Expressions via Self-Supervised Oracle Trajectories","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-05-15T12:31:32.917453Z"},"links":{"cited_paper":"/paper/2502.09544","citing_paper":"/paper/2603.11164"},"observation_digest":"sha256:87180ea2b69c4653dff47be475547b1dce0d3afe3e05389f856f03407ad592dc","observation_id":"c6af4159-3bd3-456e-9fcf-064acbefe77c","resolution":{"observed_at":"2026-05-15T12:35:35.499970Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"cited_work":{"arxiv_id":"2502.09544","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.09544","snapshot_observed_at":"2026-07-10T06:56:52.430509Z","title":"Song, T.-Z","venue":"hep-ph","work_id":"d7b1c956-37e9-4096-82e0-a0e303e5bf5a","year":2025},"citing_paper":{"arxiv_id":"2604.05025","last_updated":"2026-04-06T18:00:02Z","snapshot_observed_at":"2026-08-11T19:33:40.751697Z","submitted_at":"2026-04-06T18:00:02Z","title":"Feynman integral reduction with intersection theory made simple","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-10T19:20:26.449693Z"},"links":{"cited_paper":"/paper/2502.09544","citing_paper":"/paper/2604.05025"},"observation_digest":"sha256:263721b7a4baee867d5c9910249d104f235df5ffe963603c21e4984a568901e4","observation_id":"cf7f3b8d-c921-4a63-a6d0-11792a64fd25","resolution":{"observed_at":"2026-05-10T23:05:49.576561Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"cited_work":{"arxiv_id":"2502.09544","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.09544","snapshot_observed_at":"2026-07-10T06:56:52.430509Z","title":"Song, T.-Z","venue":"hep-ph","work_id":"d7b1c956-37e9-4096-82e0-a0e303e5bf5a","year":2025},"citing_paper":{"arxiv_id":"2604.05034","last_updated":"2026-04-06T18:00:04Z","snapshot_observed_at":"2026-08-12T17:24:05.795941Z","submitted_at":"2026-04-06T18:00:04Z","title":"Learning to Unscramble Feynman Loop Integrals with SAILIR","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-10T19:31:33.783349Z"},"links":{"cited_paper":"/paper/2502.09544","citing_paper":"/paper/2604.05034"},"observation_digest":"sha256:37d79fec071b962f8dbf49b362f407f41b73480e16e26ad89c0bd4bcf82cd4e3","observation_id":"e5d30ce8-90cc-4777-a32a-5967d6affe95","resolution":{"observed_at":"2026-05-10T22:50:51.001517Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"cited_work":{"arxiv_id":"2502.09544","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.09544","snapshot_observed_at":"2026-07-10T06:56:52.430509Z","title":"Song, T.-Z","venue":"hep-ph","work_id":"d7b1c956-37e9-4096-82e0-a0e303e5bf5a","year":2025},"citing_paper":{"arxiv_id":"2604.09534","last_updated":"2026-04-24T16:06:53Z","snapshot_observed_at":"2026-08-20T05:05:55.801146Z","submitted_at":"2026-04-10T17:52:46Z","title":"The four-loop non-singlet splitting functions in QCD","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-05-10T16:44:13.520224Z"},"links":{"cited_paper":"/paper/2502.09544","citing_paper":"/paper/2604.09534"},"observation_digest":"sha256:4af6110a0d3e76feefb73e5dfa8f7d09b54ec2ff66be258c31b2964b6f952b2d","observation_id":"d4e0093a-fac1-48bd-a06b-c111045456f3","resolution":{"observed_at":"2026-05-11T08:16:02.317162Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"cited_work":{"arxiv_id":"2502.09544","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.09544","snapshot_observed_at":"2026-07-10T06:56:52.430509Z","title":"Song, T.-Z","venue":"hep-ph","work_id":"d7b1c956-37e9-4096-82e0-a0e303e5bf5a","year":2025},"citing_paper":{"arxiv_id":"2604.09810","last_updated":"2026-04-10T18:34:11Z","snapshot_observed_at":"2026-08-17T17:58:21.254154Z","submitted_at":"2026-04-10T18:34:11Z","title":"Feynman integral reduction by covariant differentiation","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-10T16:34:30.622398Z"},"links":{"cited_paper":"/paper/2502.09544","citing_paper":"/paper/2604.09810"},"observation_digest":"sha256:ec8dbe650f722b3c85fb2bcbfd112216b02d31d70913eed2fe4ff36f9b646ddc","observation_id":"ff0e0ec3-3480-4757-b5d0-15dc4d54e57d","resolution":{"observed_at":"2026-05-11T08:40:58.493180Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"cited_work":{"arxiv_id":"2502.09544","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.09544","snapshot_observed_at":"2026-07-10T06:56:52.430509Z","title":"Song, T.-Z","venue":"hep-ph","work_id":"d7b1c956-37e9-4096-82e0-a0e303e5bf5a","year":2025},"citing_paper":{"arxiv_id":"2605.14783","last_updated":"2026-05-14T12:53:25Z","snapshot_observed_at":"2026-08-08T19:26:31.471974Z","submitted_at":"2026-05-14T12:53:25Z","title":"AI-Driven Discovery of Information-Efficient Collider Observables for Interference Measurements","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-30T20:27:43.631020Z"},"links":{"cited_paper":"/paper/2502.09544","citing_paper":"/paper/2605.14783"},"observation_digest":"sha256:e9db50d279224161a94cec1e17759904d252ac99d34614bf1b54a131ab8aff62","observation_id":"2df0c3cf-cf84-4ba3-9b6f-d1232cbd7dfe","resolution":{"observed_at":"2026-06-30T20:35:02.942404Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"cited_work":{"arxiv_id":"2502.09544","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.09544","snapshot_observed_at":"2026-07-10T06:56:52.430509Z","title":"Song, T.-Z","venue":"hep-ph","work_id":"d7b1c956-37e9-4096-82e0-a0e303e5bf5a","year":2025},"citing_paper":{"arxiv_id":"2606.02485","last_updated":"2026-06-01T16:54:46Z","snapshot_observed_at":"2026-08-13T20:24:18.404788Z","submitted_at":"2026-06-01T16:54:46Z","title":"On the spanning cuts consistency problem in the IBP reductions of Feynman integrals","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-06-28T13:38:49.590922Z"},"links":{"cited_paper":"/paper/2502.09544","citing_paper":"/paper/2606.02485"},"observation_digest":"sha256:464855e6c7ed07fe5441f70681436348c1803ed5ba0539fe87f2e0359b25e822","observation_id":"21548de0-cfbd-44b6-9d04-12653c094398","resolution":{"observed_at":"2026-07-02T00:06:23.618797Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"cited_work":{"arxiv_id":"2502.09544","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.09544","snapshot_observed_at":"2026-07-10T06:56:52.430509Z","title":"Song, T.-Z","venue":"hep-ph","work_id":"d7b1c956-37e9-4096-82e0-a0e303e5bf5a","year":2025},"citing_paper":{"arxiv_id":"2606.10698","last_updated":"2026-06-09T10:59:00Z","snapshot_observed_at":"2026-08-15T08:12:33.817958Z","submitted_at":"2026-06-09T10:59:00Z","title":"Efficient AI-Inspired Reduction of Feynman Integrals via Tube Seeding","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-27T12:28:49.796094Z"},"links":{"cited_paper":"/paper/2502.09544","citing_paper":"/paper/2606.10698"},"observation_digest":"sha256:eed7daec20518ed0991cf160133415ff6c495dc8f4f4e645dd1215ad82ab14bf","observation_id":"5c825dbf-b6c7-43b3-8ea1-f09b662bbef1","resolution":{"observed_at":"2026-07-03T06:47:43.415635Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"cited_work":{"arxiv_id":"2502.09544","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.09544","snapshot_observed_at":"2026-07-10T06:56:52.430509Z","title":"Song, T.-Z","venue":"hep-ph","work_id":"d7b1c956-37e9-4096-82e0-a0e303e5bf5a","year":2025},"citing_paper":{"arxiv_id":"2607.08477","last_updated":"2026-07-09T13:33:47Z","snapshot_observed_at":"2026-08-14T20:36:59.205479Z","submitted_at":"2026-07-09T13:33:47Z","title":"AMFlow 2.0: significant algorithmic and software improvements for Feynman integral evaluation","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-07-10T06:51:36.448776Z"},"links":{"cited_paper":"/paper/2502.09544","citing_paper":"/paper/2607.08477"},"observation_digest":"sha256:62a9ee379b016aba4f4f134af32f81accc0f2f4e84d754b2b3ca813b093f5c0f","observation_id":"f1f81c59-9349-49e0-add9-0e8864c92555","resolution":{"observed_at":"2026-07-10T06:56:52.431943Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.09544","snapshot_observed_at":"2026-08-02T05:23:01.600634Z","title":"Song, T.-Z","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.13412","last_updated":"2026-07-15T03:27:30Z","snapshot_observed_at":"2026-08-19T09:54:50.962042Z","submitted_at":"2026-07-15T03:27:30Z","title":"An adaptive inverse-problem framework for one-loop five-gluon BCJ numerators","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-02T05:23:01.600634Z"},"links":{"cited_paper":"/paper/2502.09544","citing_paper":"/paper/2607.13412"},"observation_digest":"sha256:24861d7366a154bebcbe326bc0a814e03e07fa30e658477b2848fad9d656cdf5","observation_id":"da22415c-8d52-4b1b-acc4-da735a92974b","resolution":{"observed_at":"2026-08-02T05:23:01.600634Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.09544","snapshot_observed_at":"2026-08-02T06:16:17.342409Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction,","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21629","last_updated":"2026-07-14T16:45:07Z","snapshot_observed_at":"2026-08-17T12:57:27.450917Z","submitted_at":"2026-07-14T16:45:07Z","title":"Scattering Amplitudes as Programs: Self-Evolving Search for Theory and Event Generation","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-02T06:16:17.342409Z"},"links":{"cited_paper":"/paper/2502.09544","citing_paper":"/paper/2607.21629"},"observation_digest":"sha256:742ab476cf7f348dc5151b5ea2371f87bf553447980c0ca1ecc85be9a0c8ea88","observation_id":"f1345cbe-6bc9-425a-bed2-1dfbb453f193","resolution":{"observed_at":"2026-08-02T06:16:17.342409Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.09544","snapshot_observed_at":"2026-08-15T14:22:42.426842Z","title":"Song, T.-Z","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.10540","last_updated":"2026-08-11T06:26:19Z","snapshot_observed_at":"2026-08-19T11:24:58.621844Z","submitted_at":"2026-08-11T06:26:19Z","title":"State-Dependent Visibility of Non-Commutative Ordering in Quantum Dynamics","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T14:22:42.426842Z"},"links":{"cited_paper":"/paper/2502.09544","citing_paper":"/paper/2608.10540"},"observation_digest":"sha256:9b166e0ebea206d76846fbd4994d4122356ea99c57a9cd11d855950ab2e9023f","observation_id":"18571d00-b786-46cd-a3cf-bfe53a06ffa7","resolution":{"observed_at":"2026-08-15T14:22:42.426842Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2502.09544/citation-record","integrity":"/paper/2502.09544/integrity","json":"/paper/2502.09544/citation-record.json","paper":"/paper/2502.09544"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:56.210820Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.210820Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:9a81d86b1f1d5f54b5dd18a1d8d24c7758bee168b5292b434b927f207bf4b8cf","observation_id":"9bd61fc4-9597-410f-938d-faf19db43226","resolution":{"observed_at":"2026-08-07T21:11:56.210820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:56.216089Z","title":"Let the number of seeding inte- grals in these first M categories be Nm","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.216089Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:9dd13b1cf63d0bbd9b862a3cce6247f973d0be6ce0edf44abf2dbea4810fe380","observation_id":"5d6988a9-4e52-4e30-b08d-4b389e3c07ec","resolution":{"observed_at":"2026-08-07T21:11:56.216089Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:56.221084Z","title":"(17) Identify the first G categories that collectively con- tain at least Nr seeding integrals","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.221084Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:ea5a9f26df05a7218ed2bbe87dce7b42d5976389b730e4dd7692b503efe91dc1","observation_id":"8aaf91f0-edf8-4df9-b5ef-da2239997bb3","resolution":{"observed_at":"2026-08-07T21:11:56.221084Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:56.226312Z","title":"Solve the resulting linear equations using the sparse solver provided in FiniteFlow","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.226312Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:65873035153da4dcea1ff295684c8e56bd436ba3c18150291af3b008b929ff06","observation_id":"66cf6740-6ba0-47a4-b30f-4571ed30d51a","resolution":{"observed_at":"2026-08-07T21:11:56.226312Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:56.231623Z","title":"The above algorithm also improves the search time com- pared to a direct binary search approach","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.231623Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:4c26dafef28cfa361342e02ed3f494d29e880c135a091810ce46b33a84d6b4e0","observation_id":"01115a4c-cedb-4786-a576-73d9fbc44ee2","resolution":{"observed_at":"2026-08-07T21:11:56.231623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:56.238934Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.238934Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:61221d752cf79d5bc1f8d107417a41f6b9e5539d475ac9d466634639edd25969","observation_id":"822383ee-079c-4e64-bdb2-b4d61b16e110","resolution":{"observed_at":"2026-08-07T21:11:56.238934Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:56.246756Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.246756Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:a6a94c486cc9606012561aec4bbddfa57958a0fdc83a628e69a728a9a3667769","observation_id":"c3b6d5d0-02fe-4d2f-a4d1-da38d0702476","resolution":{"observed_at":"2026-08-07T21:11:56.246756Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:56.251833Z","title":null,"venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.251833Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:ada0cda6a9819eec8e7dc410044ce410dd207a77d3e718ea3a5f640e4f080f7b","observation_id":"993b56b1-3063-49b0-8f21-1067dd237ce2","resolution":{"observed_at":"2026-08-07T21:11:56.251833Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9912329","last_updated":"2000-04-27T09:19:33Z","snapshot_observed_at":"2026-07-07T04:35:22.917311Z","submitted_at":"1999-12-14T08:54:32Z","title":"Differential Equations for Two-Loop Four-Point Functions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9912329","snapshot_observed_at":"2026-08-07T21:11:56.256675Z","title":"Gehrmann and E","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.256675Z"},"links":{"cited_paper":"/paper/hep-ph/9912329","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:2fbcd2e5b252c79c532928b94de78ff7c08da694bb2d925c937a72509071b3f9","observation_id":"291c0bd9-b749-4b68-bbf0-12828ee20c32","resolution":{"observed_at":"2026-08-07T21:11:56.256675Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1304.1806","last_updated":"2013-05-31T15:05:36Z","snapshot_observed_at":"2026-08-15T00:22:27.103630Z","submitted_at":"2013-04-05T20:00:03Z","title":"Multiloop integrals in dimensional regularization made simple","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1304.1806","snapshot_observed_at":"2026-08-07T21:11:56.262049Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.262049Z"},"links":{"cited_paper":"/paper/1304.1806","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:70436bea3333f86e02de03b18e71e929693cf0dc75c3195b902926ca8c3e8326","observation_id":"bcc6f7b3-33d4-48d8-9fe9-c3682c26d7be","resolution":{"observed_at":"2026-08-07T21:11:56.262049Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0102033","last_updated":"2001-02-03T11:42:35Z","snapshot_observed_at":"2026-07-07T03:51:21.780507Z","submitted_at":"2001-02-03T11:42:35Z","title":"High-precision calculation of multi-loop Feynman integrals by difference equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0102033","snapshot_observed_at":"2026-08-07T21:11:56.267960Z","title":"Laporta, Int","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.267960Z"},"links":{"cited_paper":"/paper/hep-ph/0102033","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:7e0302d41d1ccdac215113ddda2089abc472e99687b360f92826a155b16e9abf","observation_id":"dc0e4c6d-5f70-49f0-901c-717d2a9fa18b","resolution":{"observed_at":"2026-08-07T21:11:56.267960Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1406.4513","last_updated":"2015-09-21T12:36:02Z","snapshot_observed_at":"2026-08-14T23:30:01.794438Z","submitted_at":"2014-06-17T20:00:24Z","title":"A novel approach to integration by parts reduction","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1406.4513","snapshot_observed_at":"2026-08-07T21:11:56.273598Z","title":"von Manteuffel and R","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.273598Z"},"links":{"cited_paper":"/paper/1406.4513","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:9ca487efa70171447931d78361ab40209546b7122f2b64ee5cd73a52081e4fb7","observation_id":"bafb1987-8111-4ca2-ab3a-ec588bb63b4a","resolution":{"observed_at":"2026-08-07T21:11:56.273598Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1608.01902","last_updated":"2016-12-13T17:55:16Z","snapshot_observed_at":"2026-08-17T14:45:50.818030Z","submitted_at":"2016-08-05T15:00:44Z","title":"Scattering amplitudes over finite fields and multivariate functional reconstruction","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1608.01902","snapshot_observed_at":"2026-08-07T21:11:56.279128Z","title":"Peraro, JHEP 12, 030 (2016), arXiv:1608.01902 [hep- ph]","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.279128Z"},"links":{"cited_paper":"/paper/1608.01902","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:43a81c82e0e56cec850420e6d19c28be40d9f7d5f74aca42eb44fa616dcb27e3","observation_id":"c4e6936b-cff1-4f08-a12e-0d7e52b2fddb","resolution":{"observed_at":"2026-08-07T21:11:56.279128Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1009.0472","last_updated":"2011-10-18T14:14:26Z","snapshot_observed_at":"2026-08-17T02:05:45.626432Z","submitted_at":"2010-09-02T16:50:08Z","title":"Towards a Basis for Planar Two-Loop Integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1009.0472","snapshot_observed_at":"2026-08-07T21:11:56.286596Z","title":"Gluza, K","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.286596Z"},"links":{"cited_paper":"/paper/1009.0472","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:73134065352ee7715df7008191dc3378a2795fb77c85cca72f60179c248de148","observation_id":"77cc3ccc-bcdf-4100-853b-28d7a7358da9","resolution":{"observed_at":"2026-08-07T21:11:56.286596Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1511.01071","last_updated":"2016-07-07T19:41:27Z","snapshot_observed_at":"2026-08-14T23:07:51.901968Z","submitted_at":"2015-11-03T20:32:31Z","title":"Integration-by-parts reductions from unitarity cuts and algebraic geometry","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.01071","snapshot_observed_at":"2026-08-07T21:11:56.291856Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.291856Z"},"links":{"cited_paper":"/paper/1511.01071","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:07303561bd27df3d9b831015c101f08b22f69e36874dd7a8b0e3436e14d25f31","observation_id":"d52d9b7b-5294-47e5-9a9a-a59e22d667ef","resolution":{"observed_at":"2026-08-07T21:11:56.291856Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1712.09737","last_updated":"2018-08-01T11:23:46Z","snapshot_observed_at":"2026-08-14T20:00:01.768727Z","submitted_at":"2017-12-26T18:53:04Z","title":"Complete sets of logarithmic vector fields for integration-by-parts identities of Feynman integrals","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1712.09737","snapshot_observed_at":"2026-08-07T21:11:56.296523Z","title":"B¨ ohm, A","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.296523Z"},"links":{"cited_paper":"/paper/1712.09737","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:08d59a228d76465698e8936b0114f242b34b4c22b9390b836d72d8b1f816b06f","observation_id":"795a4050-ce6f-4753-8551-bc4a83f8ebeb","resolution":{"observed_at":"2026-08-07T21:11:56.296523Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1405.5616","last_updated":"2014-05-22T02:40:46Z","snapshot_observed_at":"2026-08-21T06:41:32.142823Z","submitted_at":"2014-05-22T02:40:46Z","title":"Modern techniques of multiloop calculations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1405.5616","snapshot_observed_at":"2026-08-07T21:11:56.301274Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.301274Z"},"links":{"cited_paper":"/paper/1405.5616","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:470eb64b91390224317a8491054327acc5a4bdbcb25901d88677f6946c275584","observation_id":"383277e4-4e84-4842-bab1-9b2264ae9aa5","resolution":{"observed_at":"2026-08-07T21:11:56.301274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1712.09215","last_updated":"2018-03-16T17:57:45Z","snapshot_observed_at":"2026-08-16T14:44:55.273774Z","submitted_at":"2017-12-26T09:12:54Z","title":"Feynman integral relations from parametric annihilators","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1712.09215","snapshot_observed_at":"2026-08-07T21:11:56.306285Z","title":"Bitoun, C","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.306285Z"},"links":{"cited_paper":"/paper/1712.09215","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:3d2d01a24ece2231682f9cdb61b7fef5887173c87f04626284ba67edc7e19552","observation_id":"bdc3bde1-f251-431b-a730-9b0621436b8e","resolution":{"observed_at":"2026-08-07T21:11:56.306285Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.15113","last_updated":"2021-03-09T23:35:33Z","snapshot_observed_at":"2026-08-19T16:34:15.509051Z","submitted_at":"2020-11-30T18:48:32Z","title":"Two-loop helicity amplitudes for $gg \\to ZZ$ with full top-quark mass effects","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.15113","snapshot_observed_at":"2026-08-07T21:11:56.310887Z","title":"Agarwal, S","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.310887Z"},"links":{"cited_paper":"/paper/2011.15113","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:9a382785b87779e56cb200df5e3a4ceb32f1f104926554fd38f5fa03a0e717a0","observation_id":"239cdfe2-595b-459e-9e7c-73d50a244af4","resolution":{"observed_at":"2026-08-07T21:11:56.310887Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1810.03818","last_updated":"2019-03-05T17:42:14Z","snapshot_observed_at":"2026-08-21T01:00:20.939526Z","submitted_at":"2018-10-09T05:23:36Z","title":"Feynman Integrals and Intersection Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.03818","snapshot_observed_at":"2026-08-07T21:11:56.315427Z","title":"Mastrolia and S","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.315427Z"},"links":{"cited_paper":"/paper/1810.03818","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:c78fca3fbdb02f8d89e27b8fb2b27c7c6a0be5bec11240520dd0875058c53168","observation_id":"c823fe0a-728b-4e78-9376-1fd33a123a51","resolution":{"observed_at":"2026-08-07T21:11:56.315427Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1907.02000","last_updated":"2019-07-03T15:53:32Z","snapshot_observed_at":"2026-08-20T12:11:28.235678Z","submitted_at":"2019-07-03T15:53:32Z","title":"Vector Space of Feynman Integrals and Multivariate Intersection Numbers","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1907.02000","snapshot_observed_at":"2026-08-07T21:11:56.319997Z","title":"Frellesvig, F","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.319997Z"},"links":{"cited_paper":"/paper/1907.02000","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:c895cbe830e2389ece216a379b6d8bc62868f9692fb7b996fb01193c2789dd69","observation_id":"8fcc944f-2577-4e10-bb44-ff4fa3fcf90b","resolution":{"observed_at":"2026-08-07T21:11:56.319997Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1801.10523","last_updated":"2019-04-12T06:28:46Z","snapshot_observed_at":"2026-08-14T19:50:13.508711Z","submitted_at":"2018-01-31T16:15:13Z","title":"Determine Arbitrary Feynman Integrals by Vacuum Integrals","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1801.10523","snapshot_observed_at":"2026-08-07T21:11:56.325215Z","title":"Liu and Y.-Q","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.325215Z"},"links":{"cited_paper":"/paper/1801.10523","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:d5b8c4b72592570c4cda40199182e0d7c6556d47cc877beaeae3a9ee40c6e47b","observation_id":"a7fd689e-112a-4dd2-b3a2-f97a9ec986d0","resolution":{"observed_at":"2026-08-07T21:11:56.325215Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1912.09294","last_updated":"2020-09-10T06:42:55Z","snapshot_observed_at":"2026-08-16T15:21:40.458739Z","submitted_at":"2019-12-19T15:30:31Z","title":"Complete reduction of integrals in two-loop five-light-parton scattering amplitudes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.09294","snapshot_observed_at":"2026-08-07T21:11:56.330474Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.330474Z"},"links":{"cited_paper":"/paper/1912.09294","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:a69f75abeec4bef03f7638031cacfe885ab39af683fcab3e592980e2679d3eb2","observation_id":"f10a2239-ad83-4396-8d5b-89a0c9d13861","resolution":{"observed_at":"2026-08-07T21:11:56.330474Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.14621","last_updated":"2025-02-06T02:04:35Z","snapshot_observed_at":"2026-08-18T07:34:49.750385Z","submitted_at":"2024-05-23T14:29:31Z","title":"Blade: A package for block-triangular form improved Feynman integrals decomposition","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.14621","snapshot_observed_at":"2026-08-07T21:11:56.335875Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.335875Z"},"links":{"cited_paper":"/paper/2405.14621","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:fb1046e429a0a8ca0d04604596a2105a282d0d83348c545f781fce33af7aedeb","observation_id":"4066214e-9bb8-4a64-b4a0-fd662feb2175","resolution":{"observed_at":"2026-08-07T21:11:56.335875Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0404258","last_updated":"2004-05-26T12:14:48Z","snapshot_observed_at":"2026-08-16T07:44:14.247307Z","submitted_at":"2004-04-28T19:07:25Z","title":"Automatic Integral Reduction for Higher Order Perturbative Calculations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0404258","snapshot_observed_at":"2026-08-07T21:11:56.341309Z","title":"Anastasiou and A","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.341309Z"},"links":{"cited_paper":"/paper/hep-ph/0404258","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:fb9d2f1a94e2c9f5e09543e88ead9af995d8b45ea790b41cc96e37f784f580f9","observation_id":"9b747f3a-b8f8-4dd9-a9a1-b6aa008a218e","resolution":{"observed_at":"2026-08-07T21:11:56.341309Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1212.2685","last_updated":"2012-12-12T01:41:19Z","snapshot_observed_at":"2026-08-15T00:36:19.515657Z","submitted_at":"2012-12-12T01:41:19Z","title":"Presenting LiteRed: a tool for the Loop InTEgrals REDuction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1212.2685","snapshot_observed_at":"2026-08-07T21:11:56.347554Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.347554Z"},"links":{"cited_paper":"/paper/1212.2685","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:2843042cd269c8b84375162786e361d40cc4273979ca01c2bc3b6df240e156e7","observation_id":"8228e09c-ec05-4ab4-b99c-bc28e0ff79fe","resolution":{"observed_at":"2026-08-07T21:11:56.347554Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1310.1145","last_updated":"2013-10-04T01:43:34Z","snapshot_observed_at":"2026-08-15T00:00:26.647921Z","submitted_at":"2013-10-04T01:43:34Z","title":"LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1310.1145","snapshot_observed_at":"2026-08-07T21:11:56.352660Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.352660Z"},"links":{"cited_paper":"/paper/1310.1145","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:d9d872967dd01f9983e28b85ecbc2b1e69dd02498d9734ab1dba7c87d7178747","observation_id":"6a6f4a0c-cd80-4d0c-a38f-315840e95fa9","resolution":{"observed_at":"2026-08-07T21:11:56.352660Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1901.07808","last_updated":"2019-02-10T16:44:50Z","snapshot_observed_at":"2026-08-14T17:27:10.578976Z","submitted_at":"2019-01-23T10:41:16Z","title":"FIRE6: Feynman Integral REduction with Modular Arithmetic","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1901.07808","snapshot_observed_at":"2026-08-07T21:11:56.357665Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.357665Z"},"links":{"cited_paper":"/paper/1901.07808","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:b93bdcb9c0faa4f50ca97f06abd3d7e930a6803065b0041bcdf4b461ee30064a","observation_id":"6223c81e-e0ec-4595-92f3-dc5feb4b9336","resolution":{"observed_at":"2026-08-07T21:11:56.357665Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.02370","last_updated":"2023-11-04T10:49:10Z","snapshot_observed_at":"2026-08-21T04:48:58.937349Z","submitted_at":"2023-11-04T10:49:10Z","title":"FIRE 6.5: Feynman Integral Reduction with New Simplification Library","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.02370","snapshot_observed_at":"2026-08-07T21:11:56.362855Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.362855Z"},"links":{"cited_paper":"/paper/2311.02370","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:5d98bcf9b4b5fbcad8cca2ab9acb6b2bf7ae9ed659a717ad7929e21765e14456","observation_id":"e51cd918-3de3-4d65-b9b6-117b0a2860f6","resolution":{"observed_at":"2026-08-07T21:11:56.362855Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1201.4330","last_updated":"2012-01-20T16:22:46Z","snapshot_observed_at":"2026-08-15T04:21:54.428850Z","submitted_at":"2012-01-20T16:22:46Z","title":"Reduze 2 - Distributed Feynman Integral Reduction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1201.4330","snapshot_observed_at":"2026-08-07T21:11:56.367421Z","title":"von Manteuffel and C","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.367421Z"},"links":{"cited_paper":"/paper/1201.4330","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:3869ade5c4c268ea3ec1955aaad8f8e14646820410fe0e2a9f5d9b31b8ee33e9","observation_id":"674e446f-89fd-45d3-b7d2-28a049240507","resolution":{"observed_at":"2026-08-07T21:11:56.367421Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0912.2546","last_updated":"2010-02-22T15:17:46Z","snapshot_observed_at":"2026-08-15T05:31:33.565618Z","submitted_at":"2009-12-14T14:42:28Z","title":"Reduze - Feynman Integral Reduction in C++","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0912.2546","snapshot_observed_at":"2026-08-07T21:11:56.372216Z","title":"Studerus, Comput","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.372216Z"},"links":{"cited_paper":"/paper/0912.2546","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:80a52367b938203c8462b7ea646e718a5e4f625b55e139a6dbc5415e44e2b069","observation_id":"817dd57b-b89f-4ae5-ba46-25bb7b3dac64","resolution":{"observed_at":"2026-08-07T21:11:56.372216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1705.05610","last_updated":"2018-04-26T13:54:46Z","snapshot_observed_at":"2026-08-14T21:00:26.497428Z","submitted_at":"2017-05-16T09:31:16Z","title":"Kira - A Feynman Integral Reduction Program","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1705.05610","snapshot_observed_at":"2026-08-07T21:11:56.377336Z","title":"Maierh¨ ofer, J","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.377336Z"},"links":{"cited_paper":"/paper/1705.05610","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:bd0b7de06fede49ad8d43301b91e7af071033e4fc4e0bb058997768a3141a1dd","observation_id":"5eb81605-6fc0-4759-a188-676e11c3ee69","resolution":{"observed_at":"2026-08-07T21:11:56.377336Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1904.00009","last_updated":"2019-10-11T13:23:22Z","snapshot_observed_at":"2026-08-19T03:36:49.282338Z","submitted_at":"2019-03-29T18:54:01Z","title":"Reconstructing Rational Functions with $\\texttt{FireFly}$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.00009","snapshot_observed_at":"2026-08-07T21:11:56.381909Z","title":"Klappert and F","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.381909Z"},"links":{"cited_paper":"/paper/1904.00009","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:5b9fa46b51109c54f460440862196e63a088846f17f9666d9799dfca9c1d3da9","observation_id":"38c6d9c3-06d1-48af-afdf-dc4be3bc1c35","resolution":{"observed_at":"2026-08-07T21:11:56.381909Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.06494","last_updated":"2023-02-22T22:51:09Z","snapshot_observed_at":"2026-08-13T01:46:52.597481Z","submitted_at":"2020-08-14T17:58:33Z","title":"Integral Reduction with Kira 2.0 and Finite Field Methods","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.06494","snapshot_observed_at":"2026-08-07T21:11:56.386347Z","title":"Klappert, F","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.386347Z"},"links":{"cited_paper":"/paper/2008.06494","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:68ed5d7c49993f29c3975febe6f31638234529a8df0b7bcc7a628d0113f031e1","observation_id":"41d1d17a-96d6-4f7a-9bfc-d9ef0c46bbb0","resolution":{"observed_at":"2026-08-07T21:11:56.386347Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1704.06650","last_updated":"2017-04-21T17:47:16Z","snapshot_observed_at":"2026-08-17T17:10:54.801890Z","submitted_at":"2017-04-21T17:47:16Z","title":"Forcer, a FORM program for the parametric reduction of four-loop massless propagator diagrams","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1704.06650","snapshot_observed_at":"2026-08-07T21:11:56.390679Z","title":"Ruijl, T","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.390679Z"},"links":{"cited_paper":"/paper/1704.06650","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:d4bd2720ce4d93c45d3601c901fee9aca3cf7906857c06a268e23bc78fd63e21","observation_id":"d5c8d51d-6e41-4e48-8598-bae87221a907","resolution":{"observed_at":"2026-08-07T21:11:56.390679Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1905.08019","last_updated":"2019-07-17T10:17:15Z","snapshot_observed_at":"2026-08-19T21:25:11.996479Z","submitted_at":"2019-05-20T12:07:06Z","title":"FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.08019","snapshot_observed_at":"2026-08-07T21:11:56.395070Z","title":"Peraro, JHEP 07, 031 (2019), arXiv:1905.08019 [hep- ph]","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.395070Z"},"links":{"cited_paper":"/paper/1905.08019","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:347edfe5bb98fc882411a2373fde7579d1f8b6fb9f9dbd5abc4a9a0a38c195af","observation_id":"5463242f-8be0-453e-a58f-e965e5262f66","resolution":{"observed_at":"2026-08-07T21:11:56.395070Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.08783","last_updated":"2024-10-24T08:12:25Z","snapshot_observed_at":"2026-08-18T07:35:23.774065Z","submitted_at":"2023-05-15T16:43:50Z","title":"NeatIBP 1.0, A package generating small-size integration-by-parts relations for Feynman integrals","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.08783","snapshot_observed_at":"2026-08-07T21:11:56.399524Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.399524Z"},"links":{"cited_paper":"/paper/2305.08783","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:71dcfba54001bc1c2702f6117bd4a1fef0ca60ab0ed488eee6b32c847d771580","observation_id":"c9f1a209-1fec-4eac-9d5b-f9cdf8e08058","resolution":{"observed_at":"2026-08-07T21:11:56.399524Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.06426","last_updated":"2025-04-11T13:00:53Z","snapshot_observed_at":"2026-08-19T17:25:34.086274Z","submitted_at":"2024-08-12T18:07:28Z","title":"Semi-automatic Calculations of Multi-loop Feynman Amplitudes with AmpRed","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.06426","snapshot_observed_at":"2026-08-07T21:11:56.404818Z","title":"Chen, (2024), arXiv:2408.06426 [hep-ph]","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.404818Z"},"links":{"cited_paper":"/paper/2408.06426","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:069e7fb81ded5010dc44cf5c44cef4a53749dcdb6a173e54f86b070ee4c0b100","observation_id":"b52f0b36-a974-41bc-9186-ecb98446ef5e","resolution":{"observed_at":"2026-08-07T21:11:56.404818Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:56.410485Z","title":"Romera-Paredes, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.410485Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:a46219799928931ce4422557b9343ba700f0f7a835750b507456ab9643688586","observation_id":"7506b576-c23f-4f65-8154-c53a9a8dae1e","resolution":{"observed_at":"2026-08-07T21:11:56.410485Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19973","last_updated":"2024-05-30T11:57:00Z","snapshot_observed_at":"2026-08-21T04:02:42.253258Z","submitted_at":"2024-05-30T11:57:00Z","title":"A Triumvirate of AI Driven Theoretical Discovery","version":1},"cited_work":{"arxiv_id":"2405.19973","doi":null,"metadata_source":"pith","pith_arxiv_id":"2405.19973","snapshot_observed_at":"2026-08-07T21:11:57.714881Z","title":"A Triumvirate of AI Driven Theoretical Discovery","venue":"math.HO","work_id":"d4264b28-396d-45d1-a7de-87544b5920fb","year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.415626Z"},"links":{"cited_paper":"/paper/2405.19973","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:a8daa66ab030f79369dacf84516b491f9bd73154df9f41f11ae68ebde0f3cff0","observation_id":"def4759d-a741-4243-973c-480da9f97a62","resolution":{"observed_at":"2026-08-07T21:11:57.720246Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:56.421317Z","title":"He, ed., Machine Learning in Pure Mathematics and Theoretical Physics(World Scientific, 2023)","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.421317Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:cccbd6f689e7f07fa6982f88e760ee0ce8440e1f9abfcfd0fb9d9de716e98366","observation_id":"c84d0e40-c199-4d3b-b2b8-f16fabaa75ed","resolution":{"observed_at":"2026-08-07T21:11:56.421317Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1904.08530","last_updated":"2019-05-10T20:20:28Z","snapshot_observed_at":"2026-08-14T16:44:44.850756Z","submitted_at":"2019-04-17T23:05:25Z","title":"Distinguishing Elliptic Fibrations with AI","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.08530","snapshot_observed_at":"2026-08-07T21:11:56.427525Z","title":"He and S.-J","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.427525Z"},"links":{"cited_paper":"/paper/1904.08530","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:4e13ca2a87e7b6923b35fb012291bd1f48b3664b768d5cd25b6b81a1ddc7cbde","observation_id":"8aac3d66-bf56-4c2d-a7bf-0424186e3182","resolution":{"observed_at":"2026-08-07T21:11:56.427525Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.14442","last_updated":"2020-11-29T20:56:49Z","snapshot_observed_at":"2026-08-16T19:02:29.012973Z","submitted_at":"2020-11-29T20:56:49Z","title":"Universes as Big Data","version":1},"cited_work":{"arxiv_id":"2011.14442","doi":null,"metadata_source":"pith","pith_arxiv_id":"2011.14442","snapshot_observed_at":"2026-08-07T21:11:57.675546Z","title":"Universes as Big Data","venue":"hep-th","work_id":"a44e31c5-8c29-4783-bf33-920287579667","year":2020},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.432778Z"},"links":{"cited_paper":"/paper/2011.14442","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:e49232a4ed85a14a074cf1024d27325e70a2b7e025976746d6eb89dfaf56723f","observation_id":"decdb91d-565d-437e-9813-bfc992906ef4","resolution":{"observed_at":"2026-08-07T21:11:57.680537Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.06107","last_updated":"2024-09-19T09:31:38Z","snapshot_observed_at":"2026-08-18T02:49:34.909135Z","submitted_at":"2024-05-09T21:28:52Z","title":"Transforming the Bootstrap: Using Transformers to Compute Scattering Amplitudes in Planar N = 4 Super Yang-Mills Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.06107","snapshot_observed_at":"2026-08-07T21:11:56.438092Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.438092Z"},"links":{"cited_paper":"/paper/2405.06107","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:944f88cfe19632af9fad2e6ced861ec423024e63348217ea2dae70cd1a807542","observation_id":"6f9cbfc6-b8fd-4d57-a199-21f566c8b9b0","resolution":{"observed_at":"2026-08-07T21:11:56.438092Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.11901","last_updated":"2023-03-19T14:46:27Z","snapshot_observed_at":"2026-08-18T15:35:40.695793Z","submitted_at":"2022-04-25T18:06:17Z","title":"Bootstrapping a Stress-Tensor Form Factor through Eight Loops","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.11901","snapshot_observed_at":"2026-08-07T21:11:56.443424Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.443424Z"},"links":{"cited_paper":"/paper/2204.11901","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:471bbf2a463602744ce9749236eec6a9f703b6a4d5da2adda9474b3edb72db2e","observation_id":"a8def06b-3afd-4fc1-a0a3-6363e9d91c14","resolution":{"observed_at":"2026-08-07T21:11:56.443424Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2103.12226","last_updated":"2021-03-22T23:22:33Z","snapshot_observed_at":"2026-08-17T00:27:39.612537Z","submitted_at":"2021-03-22T23:22:33Z","title":"Modern Machine Learning and Particle Physics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.12226","snapshot_observed_at":"2026-08-07T21:11:56.448342Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.448342Z"},"links":{"cited_paper":"/paper/2103.12226","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:29921b0d6d2e5dbd492f97198df116b6e25b5930ad0556001a39cfa316f84fda","observation_id":"28438bdb-149b-4f4a-8e66-3de87b2f84ee","resolution":{"observed_at":"2026-08-07T21:11:56.448342Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.04115","last_updated":"2022-06-08T18:20:21Z","snapshot_observed_at":"2026-08-18T06:43:18.924490Z","submitted_at":"2022-06-08T18:20:21Z","title":"Simplifying Polylogarithms with Machine Learning","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.04115","snapshot_observed_at":"2026-08-07T21:11:56.453211Z","title":"Dersy, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.453211Z"},"links":{"cited_paper":"/paper/2206.04115","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:86495b29356a19f4612903427c2a84f1fc15a1e282b022704910b9addf45d9d1","observation_id":"957eda78-1e01-4d2f-a402-4fa735fd1f58","resolution":{"observed_at":"2026-08-07T21:11:56.453211Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2308.09451","last_updated":"2023-08-18T10:29:26Z","snapshot_observed_at":"2026-08-20T07:32:08.369084Z","submitted_at":"2023-08-18T10:29:26Z","title":"Reconstructing $S$-matrix Phases with Machine Learning","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.09451","snapshot_observed_at":"2026-08-07T21:11:56.457890Z","title":"Dersy, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.457890Z"},"links":{"cited_paper":"/paper/2308.09451","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:8428d5d94211b469c543f7dc33b25f005046ae6b84c8768588422735230966dd","observation_id":"674f07e1-ca0f-4baf-b11d-b93d776a2215","resolution":{"observed_at":"2026-08-07T21:11:56.457890Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.04720","last_updated":"2024-11-19T15:57:07Z","snapshot_observed_at":"2026-08-18T13:54:27.115540Z","submitted_at":"2024-08-08T18:36:43Z","title":"Learning the Simplicity of Scattering Amplitudes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.04720","snapshot_observed_at":"2026-08-07T21:11:56.463341Z","title":"Cheung, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.463341Z"},"links":{"cited_paper":"/paper/2408.04720","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:32c7ff6dfe3c5f07a8d1dd9420c1ceed1f20af6fbd7aacfbfcbc73f2c0fe8e63","observation_id":"bd5dd958-12ad-4e07-80cf-4a3791d3a14c","resolution":{"observed_at":"2026-08-07T21:11:56.463341Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.03223","last_updated":"2023-12-13T22:10:45Z","snapshot_observed_at":"2026-08-16T15:18:08.751927Z","submitted_at":"2023-07-06T18:00:01Z","title":"Neural Network Field Theories: Non-Gaussianity, Actions, and Locality","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.03223","snapshot_observed_at":"2026-08-07T21:11:56.468139Z","title":"Demirtas, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.468139Z"},"links":{"cited_paper":"/paper/2307.03223","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:57912cf79be0c7bf3acbc5d7c7602138aa6491277a80fe039b3ff0fa8e746d2e","observation_id":"e3af7882-44ea-4ee6-8a38-211a7db688c5","resolution":{"observed_at":"2026-08-07T21:11:56.468139Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.18633","last_updated":"2024-02-28T19:00:01Z","snapshot_observed_at":"2026-08-16T16:36:07.590893Z","submitted_at":"2024-02-28T19:00:01Z","title":"The Collective Coordinate Fix","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.18633","snapshot_observed_at":"2026-08-07T21:11:56.472647Z","title":"Bhattacharya, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.472647Z"},"links":{"cited_paper":"/paper/2402.18633","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:3f23cd3d71b37381dabe79c3fccdbe326f20383631f648a0656cb5dbe6f6d8d9","observation_id":"9859afd7-856e-40d1-a842-c1d39db76a4a","resolution":{"observed_at":"2026-08-07T21:11:56.472647Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1612.01551","last_updated":"2018-09-04T20:40:14Z","snapshot_observed_at":"2026-08-14T21:27:01.663259Z","submitted_at":"2016-12-05T21:18:00Z","title":"Deep learning in color: towards automated quark/gluon jet discrimination","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1612.01551","snapshot_observed_at":"2026-08-07T21:11:56.477334Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.477334Z"},"links":{"cited_paper":"/paper/1612.01551","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:89b80a1800d1909550ffc577a60a68e2c88ba87136071297fcf4c8b78902e5d0","observation_id":"73f54bb0-a4da-4c15-a696-fc52bb31441e","resolution":{"observed_at":"2026-08-07T21:11:56.477334Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1707.08600","last_updated":"2018-01-08T21:14:44Z","snapshot_observed_at":"2026-08-14T20:45:04.482464Z","submitted_at":"2017-07-26T18:27:43Z","title":"Pileup Mitigation with Machine Learning (PUMML)","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1707.08600","snapshot_observed_at":"2026-08-07T21:11:56.482490Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.482490Z"},"links":{"cited_paper":"/paper/1707.08600","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:5b8b07af93c19ccd519396a8790f56f5cebadd0d7cecbfcf8ad50b62cc442e47","observation_id":"61d21e1b-4ecb-4634-b44c-d589ed850013","resolution":{"observed_at":"2026-08-07T21:11:56.482490Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1808.08979","last_updated":"2019-01-14T16:49:52Z","snapshot_observed_at":"2026-08-20T10:06:41.502294Z","submitted_at":"2018-08-27T18:09:36Z","title":"QCD or What?","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1808.08979","snapshot_observed_at":"2026-08-07T21:11:56.487746Z","title":"Heimel, G","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.487746Z"},"links":{"cited_paper":"/paper/1808.08979","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:a7cadf6ea45924fbbc87322be908c1a84c1402ad76e1d71e26317ef872acc7a4","observation_id":"bf33aaf5-8698-4cf3-a9cc-ad60b35efda4","resolution":{"observed_at":"2026-08-07T21:11:56.487746Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1902.08570","last_updated":"2020-03-30T15:57:41Z","snapshot_observed_at":"2026-08-19T17:30:29.635698Z","submitted_at":"2019-02-22T17:26:39Z","title":"ParticleNet: Jet Tagging via Particle Clouds","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1902.08570","snapshot_observed_at":"2026-08-07T21:11:56.493231Z","title":"Qu and L","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.493231Z"},"links":{"cited_paper":"/paper/1902.08570","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:9ca2dcf267b4961129acbc192d02f4dce7bc4005f94867b36b4690069c5ed493","observation_id":"06c95ee5-6174-49d8-b7c7-73cfc4439cc0","resolution":{"observed_at":"2026-08-07T21:11:56.493231Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.08187","last_updated":"2022-11-08T07:07:13Z","snapshot_observed_at":"2026-08-16T17:27:05.039196Z","submitted_at":"2022-01-20T14:07:13Z","title":"An Efficient Lorentz Equivariant Graph Neural Network for Jet Tagging","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.08187","snapshot_observed_at":"2026-08-07T21:11:56.498523Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.498523Z"},"links":{"cited_paper":"/paper/2201.08187","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:3be9ab0e7c0dd6d03e59d5685b9101097a76a8ec7a2548eaa0d1a7ac88431686","observation_id":"48a43399-3efd-4ec4-b73e-6db90164bf5f","resolution":{"observed_at":"2026-08-07T21:11:56.498523Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.07652","last_updated":"2024-02-13T20:00:51Z","snapshot_observed_at":"2026-08-21T23:45:56.244422Z","submitted_at":"2023-11-13T19:00:02Z","title":"Safe but Incalculable: Energy-weighting is not all you need","version":2},"cited_work":{"arxiv_id":"2311.07652","doi":null,"metadata_source":"pith","pith_arxiv_id":"2311.07652","snapshot_observed_at":"2026-08-07T21:11:57.447617Z","title":"Safe but Incalculable: Energy-weighting is not all you need","venue":"hep-ph","work_id":"9ffc30ed-c009-4bef-a7f7-309646b1e9c3","year":2023},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.503591Z"},"links":{"cited_paper":"/paper/2311.07652","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:3f4e1ce4f3371f2f43fc646a8c801816d881b2116918c286093d2ba5f7e348b1","observation_id":"6f35abfa-08ef-4c67-b036-7ded0411e592","resolution":{"observed_at":"2026-08-07T21:11:57.453053Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.00119","last_updated":"2024-08-29T12:46:17Z","snapshot_observed_at":"2026-08-16T14:38:42.011126Z","submitted_at":"2023-11-30T19:00:00Z","title":"Anomaly Detection in Collider Physics via Factorized Observables","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.00119","snapshot_observed_at":"2026-08-07T21:11:56.508713Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.508713Z"},"links":{"cited_paper":"/paper/2312.00119","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:a476006f155ebae03ff7e4a8ae3adaec02b523d7d2e0dfb17801fc5c91e26efc","observation_id":"4e68a2a5-eaac-4848-b738-2aef40e4c1f0","resolution":{"observed_at":"2026-08-07T21:11:56.508713Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.11284","last_updated":"2024-12-17T23:42:42Z","snapshot_observed_at":"2026-08-17T12:44:59.381037Z","submitted_at":"2024-07-15T23:45:23Z","title":"Moment Unfolding","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.11284","snapshot_observed_at":"2026-08-07T21:11:56.513675Z","title":"Desai, B","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.513675Z"},"links":{"cited_paper":"/paper/2407.11284","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:93b10e142c454a5d539e219d5b95367da62da89d53bfc0dc949acf83822865b1","observation_id":"7d6cc34f-2a23-42a6-ae01-a6cc7fd3e957","resolution":{"observed_at":"2026-08-07T21:11:56.513675Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.08854","last_updated":"2024-10-17T16:23:42Z","snapshot_observed_at":"2026-08-16T14:10:04.087022Z","submitted_at":"2024-03-13T18:00:01Z","title":"Moments of Clarity: Streamlining Latent Spaces in Machine Learning using Moment Pooling","version":2},"cited_work":{"arxiv_id":"2403.08854","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.08854","snapshot_observed_at":"2026-08-07T21:11:57.392390Z","title":"Moments of Clarity: Streamlining Latent Spaces in Machine Learning using Moment Pooling","venue":"hep-ph","work_id":"6cf1cf03-326b-4b7b-93c4-c6009af09258","year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.518872Z"},"links":{"cited_paper":"/paper/2403.08854","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:eae8a792907bd6d220bc484bdaa6a9ca94a2f505b1a33b5561bde11fabb20367","observation_id":"ba494e59-770c-4651-8fad-bfe0a5c78f21","resolution":{"observed_at":"2026-08-07T21:11:57.398878Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.07752","last_updated":"2024-10-03T16:25:25Z","snapshot_observed_at":"2026-08-17T18:17:44.127809Z","submitted_at":"2023-10-11T18:00:00Z","title":"Precision-Machine Learning for the Matrix Element Method","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.07752","snapshot_observed_at":"2026-08-07T21:11:56.524131Z","title":"Heimel, N","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.524131Z"},"links":{"cited_paper":"/paper/2310.07752","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:d0e278803961fdfc6f573770bf60b5084baedbcf355b69a73d63d821010be975","observation_id":"e32b8456-e0d7-45d4-a9b6-a093aaaf5f66","resolution":{"observed_at":"2026-08-07T21:11:56.524131Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.07460","last_updated":"2022-12-28T12:29:21Z","snapshot_observed_at":"2026-08-16T17:14:37.724748Z","submitted_at":"2022-03-14T19:36:46Z","title":"Machine Learning and LHC Event Generation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.07460","snapshot_observed_at":"2026-08-07T21:11:56.529232Z","title":"Badger et al","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.529232Z"},"links":{"cited_paper":"/paper/2203.07460","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:a45fd2658427ea55d450fb04c280b0b81c1be793fc3f87ae9dca633e9af42534","observation_id":"b892a898-cf15-44d2-b5fa-70599735cb17","resolution":{"observed_at":"2026-08-07T21:11:56.529232Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0204232","last_updated":"2002-07-31T16:45:09Z","snapshot_observed_at":"2026-08-01T22:46:22.028535Z","submitted_at":"2002-04-19T14:23:10Z","title":"Neural Network Parametrization of Deep-Inelastic Structure Functions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0204232","snapshot_observed_at":"2026-08-07T21:11:56.534053Z","title":"Forte, L","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.534053Z"},"links":{"cited_paper":"/paper/hep-ph/0204232","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:0ad1987ee1611c974992d8efbb92fe41e8524273f11ea447f32c608be1ebedbd","observation_id":"a1f52bee-47d9-4e83-98c6-1a454a23be35","resolution":{"observed_at":"2026-08-07T21:11:56.534053Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1410.8849","last_updated":"2015-05-04T11:56:44Z","snapshot_observed_at":"2026-08-14T23:13:24.429117Z","submitted_at":"2014-10-31T18:55:41Z","title":"Parton distributions for the LHC Run II","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1410.8849","snapshot_observed_at":"2026-08-07T21:11:56.539051Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.539051Z"},"links":{"cited_paper":"/paper/1410.8849","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:b99371e8b27fccb8a7666a96efeab90f97d52ff1e4349197411a44261f978506","observation_id":"3130be4f-b238-4fd9-b382-468c9a6e754f","resolution":{"observed_at":"2026-08-07T21:11:56.539051Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06586","last_updated":"2022-08-01T14:15:51Z","snapshot_observed_at":"2026-08-19T14:05:57.497150Z","submitted_at":"2022-01-17T19:00:09Z","title":"Machine learning of log-likelihood functions in global analysis of parton distributions","version":3},"cited_work":{"arxiv_id":"2201.06586","doi":null,"metadata_source":"pith","pith_arxiv_id":"2201.06586","snapshot_observed_at":"2026-08-07T21:11:57.299043Z","title":"Machine learning of log-likelihood functions in global analysis of parton distributions","venue":"hep-ph","work_id":"95cd84b5-6d4e-4678-b534-8d525e922bf3","year":2022},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.543941Z"},"links":{"cited_paper":"/paper/2201.06586","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:08ef1ae2c3f9a4fc71a69b7bb2f24da2b23f8f10e3ab8aef890b0f3580b912b3","observation_id":"4a73065a-ca98-489e-a232-f5f999248216","resolution":{"observed_at":"2026-08-07T21:11:57.305044Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2002.07516","last_updated":"2020-02-25T16:14:15Z","snapshot_observed_at":"2026-08-19T17:44:17.028689Z","submitted_at":"2020-02-18T12:26:36Z","title":"Using neural networks for efficient evaluation of high multiplicity scattering amplitudes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2002.07516","snapshot_observed_at":"2026-08-07T21:11:56.549280Z","title":"Badger and J","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.549280Z"},"links":{"cited_paper":"/paper/2002.07516","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:dd145d5c24f9e96e43fa9793803395ab2e57cc4b420121719a5c75788b39603c","observation_id":"c7c558a6-65de-4bed-9615-9f8a1e8e9715","resolution":{"observed_at":"2026-08-07T21:11:56.549280Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2106.09474","last_updated":"2021-06-25T10:25:05Z","snapshot_observed_at":"2026-08-16T18:16:23.482327Z","submitted_at":"2021-06-17T13:24:36Z","title":"Optimising simulations for diphoton production at hadron colliders using amplitude neural networks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.09474","snapshot_observed_at":"2026-08-07T21:11:56.554742Z","title":"Aylett-Bullock, S","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.554742Z"},"links":{"cited_paper":"/paper/2106.09474","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:4840c122489a4b86c84264a8944d01f7d1039013aa51af9fe49afbd130617cc0","observation_id":"061b2b63-69af-4d16-8ecf-54ad17ad3e0b","resolution":{"observed_at":"2026-08-07T21:11:56.554742Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2202.05082","last_updated":"2023-02-17T22:53:06Z","snapshot_observed_at":"2026-08-16T17:22:15.086692Z","submitted_at":"2022-02-10T15:09:48Z","title":"Identification of b-jets using QCD-inspired observables","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.05082","snapshot_observed_at":"2026-08-07T21:11:56.559189Z","title":"Fedkevych, C","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.559189Z"},"links":{"cited_paper":"/paper/2202.05082","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:ac14c141f71943c32cf43853135f62178de8a8a160a3962cc93620c3671c9231","observation_id":"37cfcc90-32a8-4b3e-872d-6d55743fe064","resolution":{"observed_at":"2026-08-07T21:11:56.559189Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.02067","last_updated":"2024-07-23T08:39:14Z","snapshot_observed_at":"2026-08-16T14:37:47.502235Z","submitted_at":"2023-12-04T17:26:49Z","title":"Learning Feynman integrals from differential equations with neural networks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.02067","snapshot_observed_at":"2026-08-07T21:11:56.563801Z","title":"Calisto, R","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.563801Z"},"links":{"cited_paper":"/paper/2312.02067","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:c8f718273b40a187d2a72721153b52035c2cf0fbddb5076a0299385d36fb1b97","observation_id":"e486adda-8d14-473e-8de8-8b7e11ed7040","resolution":{"observed_at":"2026-08-07T21:11:56.563801Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:56.568407Z","title":"Halverson and F","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.568407Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:65dfebee03ca64abf716b073a01920d5f03dd51b3b97cecb3729bc6d5767fb58","observation_id":"9164b09e-8350-4aad-8d38-f6404da2588f","resolution":{"observed_at":"2026-08-07T21:11:56.568407Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:56.573047Z","title":"Gukov, J","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.573047Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:f9fb0dd3226614a42eb8b4d00841fde5687967d74193cec4009935468dde747a","observation_id":"75984dad-599b-45e3-8ab2-5b18a309bfda","resolution":{"observed_at":"2026-08-07T21:11:56.573047Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:56.578037Z","title":"Halverson, A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.578037Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:cfca5145af3a9755a4a5e9a6ed9d5d057c89f2a81ccbe4cc5ca7ecda0877aa80","observation_id":"4a559376-5878-46ee-b4c5-2be31311051f","resolution":{"observed_at":"2026-08-07T21:11:56.578037Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:56.582943Z","title":"Halverson, B","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.582943Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:8a95a5023dd456416316bbd18e137c1781b0e447f930250c7cf50aa9128d5679","observation_id":"c8af2751-6d25-4894-a671-4b7590656111","resolution":{"observed_at":"2026-08-07T21:11:56.582943Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:56.588113Z","title":"Carifio, J","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.588113Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:23d8b85149b484c600a0dbcdb388ddaa6f67e4642376be4b5c19c79f3eb768be","observation_id":"34ffc735-31ad-41c8-a3f0-262f020a4f2c","resolution":{"observed_at":"2026-08-07T21:11:56.588113Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:58.275551Z","title":null,"venue":null,"work_id":"97d730dd-8bc3-4ab4-bdef-d31621107546","year":2012},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.593565Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:7b553088069a153d2ef6014fa9eb25d1bcbcb247dc472dd4b2543b711309dfc7","observation_id":"6741d86f-6514-4c41-ade5-df217081f6bc","resolution":{"observed_at":"2026-08-07T21:11:58.281421Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0207004","last_updated":"2002-10-11T19:28:37Z","snapshot_observed_at":"2026-08-17T14:26:10.185599Z","submitted_at":"2002-06-29T02:51:20Z","title":"Higgs boson production at hadron colliders in NNLO QCD","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0207004","snapshot_observed_at":"2026-08-07T21:11:56.599342Z","title":"Anastasiou and K","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.599342Z"},"links":{"cited_paper":"/paper/hep-ph/0207004","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:89014ec76ec602cc3176ff724adc44b44b89b469a1071c372a67b5f3a736c37c","observation_id":"af0181b3-71f0-4c5c-a3af-268f328961ed","resolution":{"observed_at":"2026-08-07T21:11:56.599342Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.07781","last_updated":"2024-05-15T15:58:56Z","snapshot_observed_at":"2026-08-20T03:16:04.444321Z","submitted_at":"2024-03-12T16:09:12Z","title":"Conservative Black Hole Scattering at Fifth Post-Minkowskian and First Self-Force Order","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.07781","snapshot_observed_at":"2026-08-07T21:11:56.604632Z","title":"Driesse, G","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.604632Z"},"links":{"cited_paper":"/paper/2403.07781","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:ee9b037aefcfad3032b0871175e90f22541a885f819ef1d7b85bbbde1533dd8c","observation_id":"74ed8d9f-cbb5-4936-a150-9ae10c465d76","resolution":{"observed_at":"2026-08-07T21:11:56.604632Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:56.610117Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.610117Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:3ed290050b6fd89c965974cbf272f1a4a3f8ad1162e0cb5e72bc8a9a40afd80d","observation_id":"ec5613da-8ef3-45d9-917c-97ba64406c01","resolution":{"observed_at":"2026-08-07T21:11:56.610117Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.14995","last_updated":"2024-12-19T16:07:00Z","snapshot_observed_at":"2026-08-19T02:01:40.250364Z","submitted_at":"2024-12-19T16:07:00Z","title":"HSEvo: Elevating Automatic Heuristic Design with Diversity-Driven Harmony Search and Genetic Algorithm Using LLMs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.14995","snapshot_observed_at":"2026-08-07T21:11:56.615771Z","title":"Hsevo: Ele- vating automatic heuristic design with diversity-driven harmony search and genetic algorithm using llms,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.615771Z"},"links":{"cited_paper":"/paper/2412.14995","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:afd7c2303ba18b27c7aa63a33db26c122809f604e163d4ea7a95f6570b8f7500","observation_id":"66a56e49-10a8-48f3-a4a3-295f379bde21","resolution":{"observed_at":"2026-08-07T21:11:56.615771Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.02051","last_updated":"2024-06-01T16:48:37Z","snapshot_observed_at":"2026-08-19T21:20:04.703731Z","submitted_at":"2024-01-04T04:11:59Z","title":"Evolution of Heuristics: Towards Efficient Automatic Algorithm Design Using Large Language Model","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.02051","snapshot_observed_at":"2026-08-07T21:11:56.621285Z","title":"Evolution of heuristics: Towards efficient automatic algorithm design using large language model,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.621285Z"},"links":{"cited_paper":"/paper/2401.02051","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:1e145d6388bb5c97f33da2180f2209fd0ea9c330bd54cac7e8419a1e2e409a57","observation_id":"4650c9bd-e5cd-4d55-b237-04f50e4aa72f","resolution":{"observed_at":"2026-08-07T21:11:56.621285Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.01145","last_updated":"2024-10-14T13:50:46Z","snapshot_observed_at":"2026-08-16T14:22:16.232177Z","submitted_at":"2024-02-02T05:04:51Z","title":"ReEvo: Large Language Models as Hyper-Heuristics with Reflective Evolution","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.01145","snapshot_observed_at":"2026-08-07T21:11:56.626634Z","title":"Reevo: Large language mod- els as hyper-heuristics with reflective evolution,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.626634Z"},"links":{"cited_paper":"/paper/2402.01145","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:f1fc238941b4842e1d16a148f731ea99e908a20a4c120a89b1950acf00ec2f57","observation_id":"0d9b8754-b3fa-434d-8130-7f12300ace4c","resolution":{"observed_at":"2026-08-07T21:11:56.626634Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.20694","last_updated":"2025-02-21T03:28:49Z","snapshot_observed_at":"2026-08-19T14:35:09.188193Z","submitted_at":"2024-12-30T04:05:22Z","title":"QUBE: Enhancing Automatic Heuristic Design via Quality-Uncertainty Balanced Evolution","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.20694","snapshot_observed_at":"2026-08-07T21:11:56.632259Z","title":"Uber: Uncertainty-based evolution with large lan- guage models for automatic heuristic design,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.632259Z"},"links":{"cited_paper":"/paper/2412.20694","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:00fb2433574d5c345b48f086c3acd376e0a777d8e4f1ebce6235e4664795c919","observation_id":"9af77eef-7d97-4970-a816-7c3e1997aaa2","resolution":{"observed_at":"2026-08-07T21:11:56.632259Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.08603","last_updated":"2025-01-31T05:28:15Z","snapshot_observed_at":"2026-08-16T05:19:04.695947Z","submitted_at":"2025-01-15T06:00:50Z","title":"Monte Carlo Tree Search for Comprehensive Exploration in LLM-Based Automatic Heuristic Design","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.08603","snapshot_observed_at":"2026-08-07T21:11:56.637641Z","title":"Monte carlo tree search for comprehensive exploration in llm-based automatic heuristic design,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.637641Z"},"links":{"cited_paper":"/paper/2501.08603","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:1f441ee6c809d71db8be841dcc76fbc5196bb7142a72327c0ad58309641cbb5f","observation_id":"1e64a29d-4968-40ba-ac57-f06e3e17d3f3","resolution":{"observed_at":"2026-08-07T21:11:56.637641Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.04824","last_updated":"2024-07-01T04:48:24Z","snapshot_observed_at":"2026-08-16T13:45:11.721630Z","submitted_at":"2024-06-07T10:49:59Z","title":"FunBO: Discovering Acquisition Functions for Bayesian Optimization with FunSearch","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.04824","snapshot_observed_at":"2026-08-07T21:11:56.643324Z","title":"Funbo: Dis- covering acquisition functions for bayesian optimization with funsearch,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.643324Z"},"links":{"cited_paper":"/paper/2406.04824","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:acf82395f79b75c914754745691ebe98c3351342c8dececfa53b14ef36e7ba41","observation_id":"46989c77-3e78-4d36-96d1-5d313be43bb8","resolution":{"observed_at":"2026-08-07T21:11:56.643324Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.10873","last_updated":"2024-07-15T16:21:20Z","snapshot_observed_at":"2026-08-16T13:34:05.230992Z","submitted_at":"2024-07-15T16:21:20Z","title":"Understanding the Importance of Evolutionary Search in Automated Heuristic Design with Large Language Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.10873","snapshot_observed_at":"2026-08-07T21:11:56.648739Z","title":"Understanding the importance of evolutionary search in automated heuristic design with large language models,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.648739Z"},"links":{"cited_paper":"/paper/2407.10873","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:a5cf478e8c6e576fedc5dfe99c3af1271598fb8920d03481a17707a8a66968d4","observation_id":"eb7a7864-916c-4d0b-b3ed-91a888f2ff09","resolution":{"observed_at":"2026-08-07T21:11:56.648739Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1803.09084","last_updated":"2018-03-24T09:34:37Z","snapshot_observed_at":"2026-08-21T16:05:03.164645Z","submitted_at":"2018-03-24T09:34:37Z","title":"Five-Particle Phase-Space Integrals in QCD","version":1},"cited_work":{"arxiv_id":"1803.09084","doi":null,"metadata_source":"pith","pith_arxiv_id":"1803.09084","snapshot_observed_at":"2026-08-07T21:11:56.989481Z","title":"Five-Particle Phase-Space Integrals in QCD","venue":"hep-ph","work_id":"af8761ff-3ed0-40ee-8410-0204ee277f0d","year":2018},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.653340Z"},"links":{"cited_paper":"/paper/1803.09084","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:8f2af36b5772bc1dd9423496086a3729ee89acd8d25bbe24b2b23ebe8653344d","observation_id":"8ead56ec-2015-44af-bd93-9470e47cb60d","resolution":{"observed_at":"2026-08-07T21:11:56.994890Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1910.07522","last_updated":"2019-10-16T13:31:40Z","snapshot_observed_at":"2026-07-06T08:30:04.777443Z","submitted_at":"2019-10-16T13:31:40Z","title":"Cutting massless four-loop propagators","version":1},"cited_work":{"arxiv_id":"1910.07522","doi":null,"metadata_source":"pith","pith_arxiv_id":"1910.07522","snapshot_observed_at":"2026-08-07T21:11:56.964581Z","title":"Cutting massless four-loop propagators","venue":"hep-ph","work_id":"31d860ba-d898-4103-a3b0-5e16a1da2fe3","year":2019},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.658567Z"},"links":{"cited_paper":"/paper/1910.07522","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:90b0b76ee1e5b09755080c6ceffc7061cf844377803ded540112880317338313","observation_id":"ea6f4dcc-73ae-4c9c-a0dc-77b42e1bed8e","resolution":{"observed_at":"2026-08-07T21:11:56.971898Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:58.259872Z","title":"Maheria, Semi- and Fully-Inclusive Phase-Space Inte- grals at Four Loops, Ph.D","venue":null,"work_id":"d106bce5-b45d-42d3-b969-58eee0baa31f","year":2022},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.664184Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:6e7938ffd1e0f8ccf226283b61a873926053afd99c3e247b60b99c3ae17910cf","observation_id":"015ccf0c-0fe8-4e9d-8ac0-9d91aad083e7","resolution":{"observed_at":"2026-08-07T21:11:58.264776Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:56.669314Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.669314Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:0f7ea6e6c589e3a241f81fa29b26d43fad76ac9c480d2e73e29261ccb0d83354","observation_id":"0f90b524-1eaf-4457-b57a-45a7b32d0a25","resolution":{"observed_at":"2026-08-07T21:11:56.669314Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.05121","last_updated":"2025-02-07T17:48:42Z","snapshot_observed_at":"2026-08-19T10:55:42.021721Z","submitted_at":"2025-02-07T17:48:42Z","title":"Refining Integration-by-Parts Reduction of Feynman Integrals with Machine Learning","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.05121","snapshot_observed_at":"2026-08-07T21:11:56.674419Z","title":"Refining integration-by- parts reduction of feynman integrals with machine learn- ing,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.674419Z"},"links":{"cited_paper":"/paper/2502.05121","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:c3d49cf6b65e437a2e4c37a777174c9c36f17b8687e8efbe8d3817e1e730de6c","observation_id":"7ba2aa53-6754-4428-aa0c-6926a016732d","resolution":{"observed_at":"2026-08-07T21:11:56.674419Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.06395","last_updated":"2024-06-03T08:54:38Z","snapshot_observed_at":"2026-08-12T13:10:06.472493Z","submitted_at":"2024-04-09T15:36:50Z","title":"MiniCPM: Unveiling the Potential of Small Language Models with Scalable Training Strategies","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.06395","snapshot_observed_at":"2026-08-07T21:11:56.680187Z","title":"Minicpm: Unveiling the potential of small lan- guage models with scalable training strategies,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.680187Z"},"links":{"cited_paper":"/paper/2404.06395","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:43e7b1f97bf3636af0baa494acd7641852d871e0b9c9a3b4548469cefa23a886","observation_id":"6ea8e640-341c-4af0-a038-ddf06a928feb","resolution":{"observed_at":"2026-08-07T21:11:56.680187Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.16609","last_updated":"2023-09-28T17:07:49Z","snapshot_observed_at":"2026-08-20T15:31:01.041088Z","submitted_at":"2023-09-28T17:07:49Z","title":"Qwen Technical Report","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.16609","snapshot_observed_at":"2026-08-07T21:11:56.686339Z","title":"Qwen technical report,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.686339Z"},"links":{"cited_paper":"/paper/2309.16609","citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:665f254416e1c85abfdb82fede544f229cb21d2102cb153792e7156bc5bebdb1","observation_id":"0e3e74c2-932b-45b2-8412-f7a488e8fb40","resolution":{"observed_at":"2026-08-07T21:11:56.686339Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:58.243745Z","title":"Below lists some key hyperparameters and their selection criteria: Model: The CPM-2B model [86] was selected due to its superior performance in code generation tasks","venue":null,"work_id":"228c7934-1958-4e0d-b3bc-8f826c10f9cc","year":null},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.692441Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:d81b0141fc952054512291408a098554239f702ea93848776e05f80ddc54ffb1","observation_id":"58eb92fe-9b89-4ce6-99ea-bf5dbdc74ccb","resolution":{"observed_at":"2026-08-07T21:11:58.248806Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:58.228503Z","title":"The initial seeding employed was the Laporta priority 2","venue":null,"work_id":"360b705d-3fdb-435d-bb56-957af9ae7b3e","year":2000},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.698377Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:2d14c7fe38c151a77734cca81a772c30f5b9b4d4d9a6440aaa914a590ee07cd9","observation_id":"69017dca-0dcc-4e30-89e3-1aa5362f698e","resolution":{"observed_at":"2026-08-07T21:11:58.233225Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:11:58.213228Z","title":null,"venue":null,"work_id":"e55012ff-57b2-4e75-ace9-c59f6070cd7e","year":null},"citing_paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-07T21:11:56.704404Z"},"links":{"citing_paper":"/paper/2502.09544"},"observation_digest":"sha256:a915f5378f02d875fc2c0ffa9df8d58571754ab5e9af4c0d98dc9b321c4a98e6","observation_id":"0e2ceba3-a2f7-4f56-a7d9-a2a2f7e806e5","resolution":{"observed_at":"2026-08-07T21:11:58.217914Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.09544","last_updated":"2025-02-13T17:58:18Z","latest_version":1,"primary_category":"hep-ph","snapshot_observed_at":"2026-08-21T18:54:05.709589Z","submitted_at":"2025-02-13T17:58:18Z","title":"Explainable AI-assisted Optimization for Feynman Integral Reduction"},"reference_resolution":{"displayed":95,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":85,"verified_exact":7,"verified_fuzzy":3},"total_outbound_references":95},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 95 of 95 outbound references and 15 inbound Pith citation observations for arXiv:2502.09544."}