{"as_of":"2026-08-08T15:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:de8e1d500ec2eed080493684feafc55e05c044c953fd8c74f3f2b4db9292c0cb","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":8,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":8,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":8,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T21:19:48.004258Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T03:07:35.676214Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2203.13014","last_updated":"2023-01-10T15:04:16Z","snapshot_observed_at":"2026-08-01T14:02:02.147081Z","submitted_at":"2022-03-24T12:00:18Z","title":"The SAGEX Review on Scattering Amplitudes, Chapter 3: Mathematical structures in Feynman integrals","version":3},"cited_work":{"arxiv_id":"2203.13014","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2203.13014","snapshot_observed_at":"2026-07-03T03:07:35.676214Z","title":"The SAGEX review on scat tering amplitudes Chapter 3: Mathematical structures in Feynman integrals","venue":null,"work_id":"80152e3f-7ee6-4bcb-aadb-409a05f3ba9d","year":2022},"citing_paper":{"arxiv_id":"2503.02096","last_updated":"2026-04-22T15:45:56Z","snapshot_observed_at":"2026-07-06T20:46:04.250876Z","submitted_at":"2025-03-03T22:31:18Z","title":"Deriving motivic coactions and single-valued maps at genus zero from zeta generators","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-23T01:11:58.765607Z"},"links":{"cited_paper":"/paper/2203.13014","citing_paper":"/paper/2503.02096"},"observation_digest":"sha256:53e8fe82431642c7a44628b45fe9eb07308aca95bb9d858e077bb585cf14ade8","observation_id":"b250fd84-d44e-4ecc-a69d-5c820684646d","resolution":{"observed_at":"2026-05-23T01:12:20.457733Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.13014","last_updated":"2023-01-10T15:04:16Z","snapshot_observed_at":"2026-08-01T14:02:02.147081Z","submitted_at":"2022-03-24T12:00:18Z","title":"The SAGEX Review on Scattering Amplitudes, Chapter 3: Mathematical structures in Feynman integrals","version":3},"cited_work":{"arxiv_id":"2203.13014","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2203.13014","snapshot_observed_at":"2026-07-03T03:07:35.676214Z","title":"The SAGEX review on scat tering amplitudes Chapter 3: Mathematical structures in Feynman integrals","venue":null,"work_id":"80152e3f-7ee6-4bcb-aadb-409a05f3ba9d","year":2022},"citing_paper":{"arxiv_id":"2504.06689","last_updated":"2026-03-09T12:35:56Z","snapshot_observed_at":"2026-07-06T21:06:36.167144Z","submitted_at":"2025-04-09T08:50:05Z","title":"Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-05-22T20:22:04.904940Z"},"links":{"cited_paper":"/paper/2203.13014","citing_paper":"/paper/2504.06689"},"observation_digest":"sha256:13aa926d5aeee5d71cc362759cbda1795df178cd8d382080b0734699f6ceac6b","observation_id":"7ab239c3-cfc7-45db-a626-b30f996767d0","resolution":{"observed_at":"2026-05-22T20:25:05.597511Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.13014","last_updated":"2023-01-10T15:04:16Z","snapshot_observed_at":"2026-08-01T14:02:02.147081Z","submitted_at":"2022-03-24T12:00:18Z","title":"The SAGEX Review on Scattering Amplitudes, Chapter 3: Mathematical structures in Feynman integrals","version":3},"cited_work":{"arxiv_id":"2203.13014","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2203.13014","snapshot_observed_at":"2026-07-03T03:07:35.676214Z","title":"The SAGEX review on scat tering amplitudes Chapter 3: Mathematical structures in Feynman integrals","venue":null,"work_id":"80152e3f-7ee6-4bcb-aadb-409a05f3ba9d","year":2022},"citing_paper":{"arxiv_id":"2508.02800","last_updated":"2026-05-04T22:04:53Z","snapshot_observed_at":"2026-08-05T04:55:51.297285Z","submitted_at":"2025-08-04T18:11:26Z","title":"Towards Motivic Coactions at Genus One from Zeta Generators","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-19T00:27:25.933884Z"},"links":{"cited_paper":"/paper/2203.13014","citing_paper":"/paper/2508.02800"},"observation_digest":"sha256:da5e52f6b874432e221910e0b9d953dcf7ff533a2e3e2d70946cada94d85c281","observation_id":"23454fb5-587c-4049-9b87-d55a1203b992","resolution":{"observed_at":"2026-05-19T00:31:55.955917Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.13014","last_updated":"2023-01-10T15:04:16Z","snapshot_observed_at":"2026-08-01T14:02:02.147081Z","submitted_at":"2022-03-24T12:00:18Z","title":"The SAGEX Review on Scattering Amplitudes, Chapter 3: Mathematical structures in Feynman integrals","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.13014","snapshot_observed_at":"2026-08-05T14:49:45.587461Z","title":"Abreu, R","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.20901","last_updated":"2025-08-28T15:30:57Z","snapshot_observed_at":"2026-08-08T14:37:04.859016Z","submitted_at":"2025-08-28T15:30:57Z","title":"Lattice path combinatorics in superconformal Yang-Mills theories","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-05T14:49:45.587461Z"},"links":{"cited_paper":"/paper/2203.13014","citing_paper":"/paper/2508.20901"},"observation_digest":"sha256:6f11aaddc15cf7d5181b35de477c1c14670aebd5580e9cc0d694dd2a162f4fa0","observation_id":"5b2aebda-e36b-4835-95d0-8c865b58cd3a","resolution":{"observed_at":"2026-08-05T14:49:45.587461Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.13014","last_updated":"2023-01-10T15:04:16Z","snapshot_observed_at":"2026-08-01T14:02:02.147081Z","submitted_at":"2022-03-24T12:00:18Z","title":"The SAGEX Review on Scattering Amplitudes, Chapter 3: Mathematical structures in Feynman integrals","version":3},"cited_work":{"arxiv_id":"2203.13014","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2203.13014","snapshot_observed_at":"2026-07-03T03:07:35.676214Z","title":"The SAGEX review on scat tering amplitudes Chapter 3: Mathematical structures in Feynman integrals","venue":null,"work_id":"80152e3f-7ee6-4bcb-aadb-409a05f3ba9d","year":2022},"citing_paper":{"arxiv_id":"2604.09129","last_updated":"2026-04-10T09:11:16Z","snapshot_observed_at":"2026-07-06T22:58:04.106299Z","submitted_at":"2026-04-10T09:11:16Z","title":"Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-10T17:16:33.915939Z"},"links":{"cited_paper":"/paper/2203.13014","citing_paper":"/paper/2604.09129"},"observation_digest":"sha256:47fe2bf937059bc18e94eafe86dad1cab45fa0d71a651bba8c622cf851739fa0","observation_id":"3023be1c-aa56-4bcb-9f84-6ac18b7774a9","resolution":{"observed_at":"2026-05-11T07:10:59.960974Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.13014","last_updated":"2023-01-10T15:04:16Z","snapshot_observed_at":"2026-08-01T14:02:02.147081Z","submitted_at":"2022-03-24T12:00:18Z","title":"The SAGEX Review on Scattering Amplitudes, Chapter 3: Mathematical structures in Feynman integrals","version":3},"cited_work":{"arxiv_id":"2203.13014","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2203.13014","snapshot_observed_at":"2026-07-03T03:07:35.676214Z","title":"The SAGEX review on scat tering amplitudes Chapter 3: Mathematical structures in Feynman integrals","venue":null,"work_id":"80152e3f-7ee6-4bcb-aadb-409a05f3ba9d","year":2022},"citing_paper":{"arxiv_id":"2604.09810","last_updated":"2026-04-10T18:34:11Z","snapshot_observed_at":"2026-07-06T22:58:34.504325Z","submitted_at":"2026-04-10T18:34:11Z","title":"Feynman integral reduction by covariant differentiation","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-10T16:34:30.622398Z"},"links":{"cited_paper":"/paper/2203.13014","citing_paper":"/paper/2604.09810"},"observation_digest":"sha256:a7252d5a22a6f70f6864ad698ec6997f85debe81d3624855460817756332177a","observation_id":"fa0199e4-f5fe-4326-ab1d-774bf1956c72","resolution":{"observed_at":"2026-05-11T08:40:58.365765Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.13014","last_updated":"2023-01-10T15:04:16Z","snapshot_observed_at":"2026-08-01T14:02:02.147081Z","submitted_at":"2022-03-24T12:00:18Z","title":"The SAGEX Review on Scattering Amplitudes, Chapter 3: Mathematical structures in Feynman integrals","version":3},"cited_work":{"arxiv_id":"2203.13014","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2203.13014","snapshot_observed_at":"2026-07-03T03:07:35.676214Z","title":"The SAGEX review on scat tering amplitudes Chapter 3: Mathematical structures in Feynman integrals","venue":null,"work_id":"80152e3f-7ee6-4bcb-aadb-409a05f3ba9d","year":2022},"citing_paper":{"arxiv_id":"2606.09978","last_updated":"2026-06-08T18:00:00Z","snapshot_observed_at":"2026-07-06T23:49:12.754871Z","submitted_at":"2026-06-08T18:00:00Z","title":"Resonance and Differential Reduction of Feynman Integrals","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-27T15:28:02.062161Z"},"links":{"cited_paper":"/paper/2203.13014","citing_paper":"/paper/2606.09978"},"observation_digest":"sha256:15cb0551d5375c66dfaef366a3e69f4beef56a23a28c4e7c508a6a318e0915ab","observation_id":"96e930ef-0b32-4f84-8748-ef277cebd974","resolution":{"observed_at":"2026-07-03T03:07:35.677664Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.13014","last_updated":"2023-01-10T15:04:16Z","snapshot_observed_at":"2026-08-01T14:02:02.147081Z","submitted_at":"2022-03-24T12:00:18Z","title":"The SAGEX Review on Scattering Amplitudes, Chapter 3: Mathematical structures in Feynman integrals","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.13014","snapshot_observed_at":"2026-08-07T21:19:48.004258Z","title":"Abreu, R","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.05913","last_updated":"2026-08-06T11:41:36Z","snapshot_observed_at":"2026-08-08T15:19:09.972613Z","submitted_at":"2026-08-06T11:41:36Z","title":"Emergent gravitational action from non-local $T\\bar T$-like deformations","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T21:19:48.004258Z"},"links":{"cited_paper":"/paper/2203.13014","citing_paper":"/paper/2608.05913"},"observation_digest":"sha256:a8115273fb90dd080d4b6b58cb9c4969bafc6047e4b3d1ab7b49ed7a9d52041f","observation_id":"e51a8060-6147-4a5e-b69f-a6274659ad83","resolution":{"observed_at":"2026-08-07T21:19:48.004258Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2203.13014/citation-record","integrity":"/paper/2203.13014/integrity","json":"/paper/2203.13014/citation-record.json","paper":"/paper/2203.13014"},"outbound":[],"paper":{"arxiv_id":"2203.13014","last_updated":"2023-01-10T15:04:16Z","latest_version":3,"primary_category":"hep-th","snapshot_observed_at":"2026-08-01T14:02:02.147081Z","submitted_at":"2022-03-24T12:00:18Z","title":"The SAGEX Review on Scattering Amplitudes, Chapter 3: Mathematical structures in Feynman integrals"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2203.13014."}