{"as_of":"2026-08-07T18:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9dba4f86c92319cba4f37a5a20efe3d75fddc3e629ce87a5961631b6fc53ea94","coverage":[{"denominator":94,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":94,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T04:37:32.901609Z","state":"measured"},{"denominator":95,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":95,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T15:28:02.062161Z","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":"2026-07-03T03:07:35.772582Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"cited_work":{"arxiv_id":"2506.10456","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.10456","snapshot_observed_at":"2026-07-03T03:07:35.772582Z","title":"Differential space of Feynman integrals: Annihilators andD-module,","venue":null,"work_id":"1de096df-321f-44e9-b969-d8535a34e4e1","year":2025},"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":48,"source":"pdf_text","source_observed_at":"2026-06-27T15:28:02.062161Z"},"links":{"cited_paper":"/paper/2506.10456","citing_paper":"/paper/2606.09978"},"observation_digest":"sha256:031421a077b5116252e3ac449835afd476b13de899bab3d432754c198fae6595","observation_id":"507969b3-cf45-4602-bac1-4ec2aea4154f","resolution":{"observed_at":"2026-07-03T03:07:35.774103Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2506.10456/citation-record","integrity":"/paper/2506.10456/integrity","json":"/paper/2506.10456/citation-record.json","paper":"/paper/2506.10456"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T04:37:26.843638Z","title":"Differential equations method: New technique for massive Feynman diagrams calculation,","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:26.843638Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:2f40bf56b2f97797a8a2b691e45268b9811057bb105859b428ee0698e9f296a1","observation_id":"11fce18b-95cc-4009-abc9-0de59bb3236f","resolution":{"observed_at":"2026-08-07T04:37:26.843638Z","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":"2026-08-07T04:37:26.921147Z","title":"Differential equation method: The Cal- culation of N point Feynman diagrams,","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:26.921147Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:4156990e71d43590f5f452f8977c906e776ace8a914ef686c8a666bd090743da","observation_id":"3b0ee5fc-6ef6-4aaa-864e-dfa7bad267b1","resolution":{"observed_at":"2026-08-07T04:37:26.921147Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9711188","last_updated":"1997-12-11T15:42:49Z","snapshot_observed_at":"2026-07-07T05:15:17.255729Z","submitted_at":"1997-11-26T11:57:35Z","title":"Differential Equations for Feynman Graph Amplitudes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9711188","snapshot_observed_at":"2026-08-07T04:37:26.993695Z","title":"Differential equations for Feynman graph amplitudes,","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:26.993695Z"},"links":{"cited_paper":"/paper/hep-th/9711188","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:fda9f9aaea6198b12ace473b2b921c79044c45fa425133d6dd363e2ba50f6503","observation_id":"c4b0f341-4a58-4adb-b933-f00ffcb0bfac","resolution":{"observed_at":"2026-08-07T04:37:26.993695Z","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":"2026-08-07T04:37:27.059688Z","title":"Differential equations for two loop four point functions,","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:27.059688Z"},"links":{"cited_paper":"/paper/hep-ph/9912329","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:977c480450f4cf9687de912caa98693e9f4a30bf4b54630353a86bc50015b128","observation_id":"66a291ad-0318-4c21-bfda-8d9d59444829","resolution":{"observed_at":"2026-08-07T04:37:27.059688Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0707.4037","last_updated":"2007-07-27T14:38:12Z","snapshot_observed_at":"2026-07-06T01:28:48.650081Z","submitted_at":"2007-07-27T14:38:12Z","title":"Feynman Diagrams and Differential Equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0707.4037","snapshot_observed_at":"2026-08-07T04:37:27.123939Z","title":"Feynman Dia- grams and Differential Equations,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:27.123939Z"},"links":{"cited_paper":"/paper/0707.4037","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:44005c474f63ec075000fd11b2e62bd827b51fa7cb7385744f8e48925f2c1abc","observation_id":"d1fac7b3-3fd5-41b5-b619-bce0748428ab","resolution":{"observed_at":"2026-08-07T04:37:27.123939Z","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":"2026-07-06T03:10:29.622191Z","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":"2026-08-07T04:37:27.192043Z","title":"Multiloop integrals in dimensional regularization made simple,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:27.192043Z"},"links":{"cited_paper":"/paper/1304.1806","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:340d179a0ab9e9ca3544f51132394e34abdf4644f00cfc916b046979eb79f86a","observation_id":"c14767f3-c078-4be7-9876-023e1c0c4d44","resolution":{"observed_at":"2026-08-07T04:37:27.192043Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1401.2979","last_updated":"2014-01-21T20:43:32Z","snapshot_observed_at":"2026-07-06T03:33:10.160583Z","submitted_at":"2014-01-13T20:52:51Z","title":"Magnus and Dyson Series for Master Integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1401.2979","snapshot_observed_at":"2026-08-07T04:37:27.277576Z","title":"Magnus and Dyson Series for Master Integrals,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:27.277576Z"},"links":{"cited_paper":"/paper/1401.2979","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:780e35ff1cfc8f33b25fc172a5ec17535a50a72603ed760de7fa6010b355a3ed","observation_id":"62fa4dfd-d2db-44a4-9845-b66697b4da0c","resolution":{"observed_at":"2026-08-07T04:37:27.277576Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1401.6057","last_updated":"2017-09-14T05:51:47Z","snapshot_observed_at":"2026-08-06T20:29:49.675514Z","submitted_at":"2014-01-23T17:11:48Z","title":"Simplified differential equations approach for Master Integrals","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1401.6057","snapshot_observed_at":"2026-08-07T04:37:27.367724Z","title":"Simplified differential equa- tions approach for Master Integrals,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:27.367724Z"},"links":{"cited_paper":"/paper/1401.6057","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:7a2c7db26901aa500ec208daf9af8eb71def72779b88c105069ebed16191248d","observation_id":"81ef7e53-f01c-4748-8e38-5fee9fd8d28b","resolution":{"observed_at":"2026-08-07T04:37:27.367724Z","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":"2026-08-07T04:37:27.445790Z","title":"A Theorem on Analytical Calculability of Four Loop Renormalization Group Functions,","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:27.445790Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:8285c125c854a6b708ccd504890efe2d87ac81f9611f4d9efafef4c08400e3e7","observation_id":"382b1e86-ac86-4258-bda3-ca4898aa2969","resolution":{"observed_at":"2026-08-07T04:37:27.445790Z","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":"2026-08-07T04:37:27.546011Z","title":"Integration by Parts: The Algorithm to Calculate beta Functions in 4 Loops,","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:27.546011Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:d143cb97dc8be1646527a5f48d40314cc29f2cbc63f6d0df162ca2c3a2b1ddaa","observation_id":"f39d0abf-8d95-4495-9ce4-6718914ce3a1","resolution":{"observed_at":"2026-08-07T04:37:27.546011Z","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":"2026-08-07T04:37:27.613070Z","title":"High precision calculation of multiloop Feynman integrals by difference equations,","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:27.613070Z"},"links":{"cited_paper":"/paper/hep-ph/0102033","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:c7e9244729d2c507130824341fe1157473157b1f5fa3d2828dfe663e28b49fd9","observation_id":"c326c51c-caf0-486f-9338-30991fe3983f","resolution":{"observed_at":"2026-08-07T04:37:27.613070Z","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":"2026-07-06T07:06:52.171508Z","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":"2026-08-07T04:37:27.670265Z","title":"Feynman In- tegrals and Intersection Theory,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:27.670265Z"},"links":{"cited_paper":"/paper/1810.03818","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:f8549d0ecfe582af5cd056b757ba694f146e0f996687c670dc30c199e0455f54","observation_id":"614d7a81-3acd-43db-8a15-c9707cb1f6c7","resolution":{"observed_at":"2026-08-07T04:37:27.670265Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1901.11510","last_updated":"2019-05-10T12:45:59Z","snapshot_observed_at":"2026-07-06T07:30:20.997518Z","submitted_at":"2019-01-31T18:21:47Z","title":"Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1901.11510","snapshot_observed_at":"2026-08-07T04:37:27.735052Z","title":"Decomposition of Feynman In- tegrals on the Maximal Cut by Intersection Numbers,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:27.735052Z"},"links":{"cited_paper":"/paper/1901.11510","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:741e70dce7432e2c5408e76c9672c579a5ef3f4f9f31508be84972d0fd7ea4f9","observation_id":"850bc61c-9466-47cb-b1d6-dc78464d039f","resolution":{"observed_at":"2026-08-07T04:37:27.735052Z","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":"2026-07-06T08:04:53.804209Z","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":"2026-08-07T04:37:27.792190Z","title":"Vector Space of Feynman Integrals and Mul- tivariate Intersection Numbers,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:27.792190Z"},"links":{"cited_paper":"/paper/1907.02000","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:dd7a71580408f53f3a81a20a96e554361569470b376a0ca3eceddb60ec11d679","observation_id":"f00e1dbd-ccac-4c24-bcc3-b2443fb2b0f6","resolution":{"observed_at":"2026-08-07T04:37:27.792190Z","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":"2026-08-07T04:37:27.853567Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:27.853567Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:cffbe913049594cc8d76d3e2b394bd90c0e700efe32341e0ff323f13235a7d1c","observation_id":"0674541a-2f54-44a8-ac6f-60e22b982fbe","resolution":{"observed_at":"2026-08-07T04:37:27.853567Z","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":"2026-08-07T04:37:27.914777Z","title":"Differential prop- erties of Feynman amplitudes,","venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:27.914777Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:ba19bc285c96890762e43757d51fe781fea47298543e0a718c707c813f638e89","observation_id":"656a205f-09ee-4f5f-ada4-de8a92f5dd57","resolution":{"observed_at":"2026-08-07T04:37:27.914777Z","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":"2026-08-07T04:37:27.976832Z","title":"Differential properties of Feynman ampli- tudes. 1","venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:27.976832Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:07f875cf6cc77aeea0a78e5bafefec4589ee9ef966aaf0be511361782d5d9935","observation_id":"a3f4a4e8-54cc-421a-aff0-aa2fd75e1b76","resolution":{"observed_at":"2026-08-07T04:37:27.976832Z","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":"2026-08-07T04:37:28.042150Z","title":"Differential equations for one-loop generalized feynman integrals,","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:28.042150Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:957e6e27cafe5d7d67289c9d9154d44f82685e494198126eb239c25da26749d4","observation_id":"85b29925-931f-4c5f-b1e5-ea5b0f612ea9","resolution":{"observed_at":"2026-08-07T04:37:28.042150Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9306240","last_updated":"1998-05-18T05:25:20Z","snapshot_observed_at":"2026-07-07T04:15:31.220812Z","submitted_at":"1993-06-07T15:38:26Z","title":"Dimensionally Regulated Pentagon Integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9306240","snapshot_observed_at":"2026-08-07T04:37:28.119362Z","title":"Di- mensionally regulated pentagon integrals,","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:28.119362Z"},"links":{"cited_paper":"/paper/hep-ph/9306240","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:9ca2ee22fbc848d5861f925906694cb816a192514c335b4be2175aa23e1c534a","observation_id":"2e2bc3e3-350c-4554-b815-38bef6249fd8","resolution":{"observed_at":"2026-08-07T04:37:28.119362Z","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":"2026-08-07T04:37:28.190435Z","title":"On the periods of certain rational integrals: I,","venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:28.190435Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:311cb9a59804f653db520766897364fba524cd5208d98849556f588dbc5d8405","observation_id":"f2062492-d52f-4733-9758-dcdf12a14c00","resolution":{"observed_at":"2026-08-07T04:37:28.190435Z","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":"2026-08-07T04:37:28.252449Z","title":"On the zeta function of a hypersur- face,","venue":null,"work_id":null,"year":1962},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:28.252449Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:6e977567e1f1a21e85cb296a08617a7c9ffb807ec1e65d078dfe8945361fe004","observation_id":"7fbd40fc-b7ae-4881-ac45-dd506957b5df","resolution":{"observed_at":"2026-08-07T04:37:28.252449Z","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":"2026-08-07T04:37:28.301815Z","title":"On the zeta function of a hypersurface: Ii,","venue":null,"work_id":null,"year":1964},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:28.301815Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:9e87c767ba725d70dae1ad0db0ceb9e3b69c85b4e0f53f19f30a1430f86efce7","observation_id":"fd54b4c4-b8b8-44b3-9e35-5589a34aee99","resolution":{"observed_at":"2026-08-07T04:37:28.301815Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1212.4389","last_updated":"2013-03-10T08:05:10Z","snapshot_observed_at":"2026-07-06T03:02:19.283773Z","submitted_at":"2012-12-18T15:40:21Z","title":"Picard-Fuchs equations for Feynman integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1212.4389","snapshot_observed_at":"2026-08-07T04:37:28.363289Z","title":"Picard-Fuchs equations for Feynman inte- grals,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:28.363289Z"},"links":{"cited_paper":"/paper/1212.4389","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:a0d6ccdcc93c17ebf448a8234319262bce6c26a780d766c51c8e67fb0ca7ef27","observation_id":"74d4e1cf-b208-475b-966e-295efa6fc965","resolution":{"observed_at":"2026-08-07T04:37:28.363289Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1702.02355","last_updated":"2017-06-23T08:41:26Z","snapshot_observed_at":"2026-07-06T05:29:14.088336Z","submitted_at":"2017-02-08T10:16:29Z","title":"Differential equations on unitarity cut surfaces","version":2},"cited_work":{"arxiv_id":"1702.02355","doi":null,"metadata_source":"pith","pith_arxiv_id":"1702.02355","snapshot_observed_at":"2026-08-07T04:37:33.515962Z","title":"Differential equations on unitarity cut surfaces","venue":"hep-th","work_id":"78d243c9-1027-4778-9e4a-6960ef3c57f9","year":2017},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:28.431005Z"},"links":{"cited_paper":"/paper/1702.02355","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:c06b9e245e45f281f01812b58143b1a7c2d46c0fc09fdd1a084d8fc5085aefae","observation_id":"8f08d187-758e-4171-aa94-2321f936221a","resolution":{"observed_at":"2026-08-07T04:37:33.520054Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2108.05310","last_updated":"2021-08-11T16:39:23Z","snapshot_observed_at":"2026-07-06T11:37:32.613834Z","submitted_at":"2021-08-11T16:39:23Z","title":"Feynman Integrals in Dimensional Regularization and Extensions of Calabi-Yau Motives","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.05310","snapshot_observed_at":"2026-08-07T04:37:28.482559Z","title":"Feynman integrals in dimensional regularization and extensions of Calabi- Yau motives,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:28.482559Z"},"links":{"cited_paper":"/paper/2108.05310","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:6bcd90562dd1855a0d65bd8025965a14a00e0238a3eea88d8b06d53f29af3094","observation_id":"ef321337-e142-4d52-a212-6661cd6b1aa2","resolution":{"observed_at":"2026-08-07T04:37:28.482559Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.10962","last_updated":"2023-03-16T13:04:28Z","snapshot_observed_at":"2026-07-06T13:55:09.054207Z","submitted_at":"2022-09-22T12:31:10Z","title":"Algorithms for minimal Picard-Fuchs operators of Feynman integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.10962","snapshot_observed_at":"2026-08-07T04:37:28.579546Z","title":"Algorithms for mini- mal Picard–Fuchs operators of Feynman integrals,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:28.579546Z"},"links":{"cited_paper":"/paper/2209.10962","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:8c9ecc637fc497eb474a6e391225c42ae5e4392fb9c306b8663985197a378cc2","observation_id":"845eb130-0f4b-422b-9f68-d97cce72384d","resolution":{"observed_at":"2026-08-07T04:37:28.579546Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.03939","last_updated":"2023-10-05T23:06:51Z","snapshot_observed_at":"2026-07-06T16:28:30.229762Z","submitted_at":"2023-10-05T23:06:51Z","title":"Integration-by-parts identities and differential equations for parametrised Feynman integrals","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.03939","snapshot_observed_at":"2026-08-07T04:37:28.649980Z","title":"Integration- by-parts identities and differential equations for parametrised Feynman integrals,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:28.649980Z"},"links":{"cited_paper":"/paper/2310.03939","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:71d80456e0418f0eb28f2d3f0318d5f04c2601f81f2e531183f5be9e3f2dd0dd","observation_id":"c5942f5a-9fb4-452c-b2d2-ac98a7d33d44","resolution":{"observed_at":"2026-08-07T04:37:28.649980Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.09908","last_updated":"2024-06-18T19:51:01Z","snapshot_observed_at":"2026-07-06T17:17:19.680475Z","submitted_at":"2024-01-18T11:43:53Z","title":"Algorithm for differential equations for Feynman integrals in general dimensions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.09908","snapshot_observed_at":"2026-08-07T04:37:28.706386Z","title":"Algorithm for differential equations for Feynman integrals in gen- 10 eral dimensions,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:28.706386Z"},"links":{"cited_paper":"/paper/2401.09908","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:88bcac997cf14e5809720406fa00312008d1d241e9d99245630d2936f1b6652c","observation_id":"44eb4776-784a-4569-8d68-0b383f7c3502","resolution":{"observed_at":"2026-08-07T04:37:28.706386Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.12983","last_updated":"2023-05-21T13:46:24Z","snapshot_observed_at":"2026-07-06T13:04:20.154361Z","submitted_at":"2022-04-27T14:46:56Z","title":"Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.12983","snapshot_observed_at":"2026-08-07T04:37:28.751283Z","title":"Macaulay matrix for Feynman integrals: linear rela- tions and intersection numbers,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:28.751283Z"},"links":{"cited_paper":"/paper/2204.12983","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:41a54885088740a944364307ad201043d2cab77e88cc1617facad5b0f31fa799","observation_id":"c1045ae0-f675-4f97-bc97-07b6f338614a","resolution":{"observed_at":"2026-08-07T04:37:28.751283Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.01585","last_updated":"2023-05-16T15:01:18Z","snapshot_observed_at":"2026-07-06T15:22:25.008777Z","submitted_at":"2023-05-02T16:34:46Z","title":"Restrictions of Pfaffian Systems for Feynman Integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.01585","snapshot_observed_at":"2026-08-07T04:37:28.808862Z","title":"Restrictions of Pfaffian systems for Feynman integrals,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:28.808862Z"},"links":{"cited_paper":"/paper/2305.01585","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:ae51ae799ba07b3012b175e5aab82cf7c17173efcd5293592a89a3e1725e7567","observation_id":"f3f6d254-8107-472d-987d-5410903cfbc1","resolution":{"observed_at":"2026-08-07T04:37:28.808862Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.11105","last_updated":"2024-06-05T09:04:06Z","snapshot_observed_at":"2026-07-06T15:05:42.338051Z","submitted_at":"2023-03-20T13:41:20Z","title":"$D$-Module Techniques for Solving Differential Equations in the Context of Feynman Integrals","version":3},"cited_work":{"arxiv_id":"2303.11105","doi":null,"metadata_source":"pith","pith_arxiv_id":"2303.11105","snapshot_observed_at":"2026-08-07T04:37:33.419550Z","title":"$D$-Module Techniques for Solving Differential Equations in the Context of Feynman Integrals","venue":"hep-th","work_id":"88f31387-3794-4fb7-a4c9-fbc95f181054","year":2023},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:28.859181Z"},"links":{"cited_paper":"/paper/2303.11105","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:cb1fe1b3d7338294463f4a69821fdb7aa44e7e00abe505714f366357465c3c23","observation_id":"5aa48356-ad61-4cc2-b84d-b516c2aed4f6","resolution":{"observed_at":"2026-08-07T04:37:33.423614Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.09479","last_updated":"2025-03-17T12:58:08Z","snapshot_observed_at":"2026-07-06T20:06:04.978622Z","submitted_at":"2024-12-12T17:25:35Z","title":"Differential Equations for Moving Hyperplane Arrangements","version":2},"cited_work":{"arxiv_id":"2412.09479","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.09479","snapshot_observed_at":"2026-08-07T04:37:33.401113Z","title":"Differential Equations for Moving Hyperplane Arrangements","venue":"math.CO","work_id":"1e98cf41-4fb1-45c0-85aa-8e24fcf7f661","year":2024},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:28.920473Z"},"links":{"cited_paper":"/paper/2412.09479","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:15d4c9e6b9229e58a2777b73e58f6e5b6ed68e2766c4dbc80f451456d5940a67","observation_id":"ecf15a60-4f4f-40b1-b69d-b751ee9afb5b","resolution":{"observed_at":"2026-08-07T04:37:33.405533Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:28.974484Z","title":"The associatedD- module is the space of all differential operatorsDmodulo those that annihilateπ(s)","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:28.974484Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:ad5b7a1c2fa3ab8696bdf0607b1f10e43a6c2d1d28da89898189226382bdfbd4","observation_id":"d05f5fd8-5874-4355-a055-ebeeb421e8c6","resolution":{"observed_at":"2026-08-07T04:37:28.974484Z","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":"2026-08-07T04:37:29.063669Z","title":"Hypergeometric functions and toral mani- folds,","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:29.063669Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:fda64be1af5ac186b86cf46bc05c9355e7f1e9467fa58d058886f53a25307253","observation_id":"7870f3e8-afb4-4895-9d65-ef0aa96ef2ca","resolution":{"observed_at":"2026-08-07T04:37:29.063669Z","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":"2026-08-07T04:37:29.222483Z","title":"Gen- eralized euler integrals and a-hypergeometric functions,","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:29.222483Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:5dfd277cd45f4a75f47801da2b992ce986412e5adadca67941534c4613497712","observation_id":"8db5bc74-0e6e-42ff-a490-0ebb1d68ef3e","resolution":{"observed_at":"2026-08-07T04:37:29.222483Z","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":"2026-08-07T04:37:34.054586Z","title":null,"venue":null,"work_id":"6f209d7d-4dd0-4f7c-bac3-2583bd49bd25","year":null},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:29.377573Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:f755b342083bf935230901f5f81b0ff42f744b56e87e1f2059a2101f2ff30e27","observation_id":"a56a9804-f27a-4c84-b4a9-aae2f98bbcaa","resolution":{"observed_at":"2026-08-07T04:37:34.058126Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1605.04970","last_updated":"2016-06-23T16:55:20Z","snapshot_observed_at":"2026-07-06T04:56:30.649721Z","submitted_at":"2016-05-16T22:20:19Z","title":"Periods of Feynman Diagrams and GKZ D-Modules","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1605.04970","snapshot_observed_at":"2026-08-07T04:37:29.513319Z","title":"Periods of Feynman Dia- grams and GKZ D-Modules,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:29.513319Z"},"links":{"cited_paper":"/paper/1605.04970","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:17c25ab3501620c3c937a2dfc20a2112f07f4da964f131ef52d261085807295b","observation_id":"912cd668-50df-4578-87c3-0986f8f13b6e","resolution":{"observed_at":"2026-08-07T04:37:29.513319Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1907.00507","last_updated":"2019-11-23T19:22:48Z","snapshot_observed_at":"2026-07-06T08:03:56.215960Z","submitted_at":"2019-07-01T01:14:48Z","title":"Feynman integrals as A-hypergeometric functions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1907.00507","snapshot_observed_at":"2026-08-07T04:37:29.609163Z","title":"Feynman integrals as A- hypergeometric functions,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:29.609163Z"},"links":{"cited_paper":"/paper/1907.00507","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:eeffa71657c3793a11e6b003c3842096b56f373139fb819fdc23182c0f1ed121","observation_id":"35165b0a-b9e7-4f36-972d-356f6bec4a59","resolution":{"observed_at":"2026-08-07T04:37:29.609163Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.07584","last_updated":"2021-09-15T21:28:44Z","snapshot_observed_at":"2026-07-06T11:48:08.020097Z","submitted_at":"2021-09-15T21:28:44Z","title":"Kinematic singularities of Feynman integrals and principal A-determinants","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.07584","snapshot_observed_at":"2026-08-07T04:37:29.709003Z","title":"Kinematic singularities of Feyn- man integrals and principal A-determinants,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:29.709003Z"},"links":{"cited_paper":"/paper/2109.07584","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:9703e8da65ac69135ff5b784b5acbc2c06b20bec837207de0e33b2ce90a51d5b","observation_id":"8f726d79-d695-400a-b1ec-0b710b6ef258","resolution":{"observed_at":"2026-08-07T04:37:29.709003Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1910.08651","last_updated":"2020-05-27T09:23:58Z","snapshot_observed_at":"2026-07-06T08:30:40.946002Z","submitted_at":"2019-10-18T22:27:21Z","title":"Hypergeometric Series Representations of Feynman Integrals by GKZ Hypergeometric Systems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1910.08651","snapshot_observed_at":"2026-08-07T04:37:29.770307Z","title":"Hypergeometric Series Represen- tations of Feynman Integrals by GKZ Hypergeometric Systems,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:29.770307Z"},"links":{"cited_paper":"/paper/1910.08651","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:f222e398259ffa3f819a3b62a354934e77d65db62ae37c8cd7df1d802badbc6c","observation_id":"66d02baa-0028-4d9a-bd75-66987a3ce9b0","resolution":{"observed_at":"2026-08-07T04:37:29.770307Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.13184","last_updated":"2023-02-25T22:44:36Z","snapshot_observed_at":"2026-07-06T14:55:49.793199Z","submitted_at":"2023-02-25T22:44:36Z","title":"Hypergeometric Feynman Integrals","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.13184","snapshot_observed_at":"2026-08-07T04:37:29.842370Z","title":"thesis, Mainz U","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:29.842370Z"},"links":{"cited_paper":"/paper/2302.13184","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:ad73098b4dd327c6ee9a936477480a13bdc6b9b8559e4423d767f0a0e133f7ab","observation_id":"e2c65554-d3a6-42d3-8b92-ca914accda13","resolution":{"observed_at":"2026-08-07T04:37:29.842370Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.14492","last_updated":"2021-01-22T07:23:14Z","snapshot_observed_at":"2026-08-07T17:14:57.532631Z","submitted_at":"2020-12-28T21:31:10Z","title":"Hypergeometric Functions and Feynman Diagrams","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.14492","snapshot_observed_at":"2026-08-07T04:37:29.933797Z","title":"Hypergeometric Functions and Feynman Diagrams,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:29.933797Z"},"links":{"cited_paper":"/paper/2012.14492","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:d17dc79053b4cd9e0ef94bb845a869389b8b8c682beeb98d9a45644f7a11f007","observation_id":"970903e2-8126-4ff3-b959-24a641e450af","resolution":{"observed_at":"2026-08-07T04:37:29.933797Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2108.01410","last_updated":"2022-05-02T17:51:34Z","snapshot_observed_at":"2026-08-04T22:44:05.141305Z","submitted_at":"2021-08-03T10:58:32Z","title":"Cohen-Macaulay Property of Feynman Integrals","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.01410","snapshot_observed_at":"2026-08-07T04:37:29.997328Z","title":"Cohen-Macaulay Property of Feynman Integrals,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:29.997328Z"},"links":{"cited_paper":"/paper/2108.01410","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:e2501d48edc2ee29c071abc8112da1b330d25dbf1830b0fa4dfadaa26eaa87f4","observation_id":"1bd65f65-dcb1-45d8-99bd-734942d2e7f3","resolution":{"observed_at":"2026-08-07T04:37:29.997328Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.09379","last_updated":"2022-08-26T13:02:50Z","snapshot_observed_at":"2026-08-02T19:11:07.813340Z","submitted_at":"2021-09-20T09:00:55Z","title":"Conformal Integrals in four dimensions","version":2},"cited_work":{"arxiv_id":"2109.09379","doi":null,"metadata_source":"pith","pith_arxiv_id":"2109.09379","snapshot_observed_at":"2026-08-07T04:37:33.292459Z","title":"Conformal Integrals in four dimensions","venue":"hep-th","work_id":"fc1d476b-a367-4936-ab03-e19c0addd317","year":2021},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:30.091619Z"},"links":{"cited_paper":"/paper/2109.09379","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:ef278abf19266c4556c7cbee94171236ab6501523f81507e7c156d70e5bb3cfb","observation_id":"8da673a0-7d39-4cc8-8d62-65844ddd59b4","resolution":{"observed_at":"2026-08-07T04:37:33.296529Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2303.17326","last_updated":"2025-04-27T07:01:26Z","snapshot_observed_at":"2026-07-06T15:10:04.771064Z","submitted_at":"2023-03-30T12:28:27Z","title":"Conformal integrals in all dimensions as GKZ hypergeometric functions and Clifford groups","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.17326","snapshot_observed_at":"2026-08-07T04:37:30.152659Z","title":"Conformal integrals in various dimensions and Clifford groups,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:30.152659Z"},"links":{"cited_paper":"/paper/2303.17326","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:43400c2302bef97e25bc85023386da813b6724b37c3e505c123cdb027d35a2f0","observation_id":"9ee62cc7-bf46-4b56-b030-21981a718d29","resolution":{"observed_at":"2026-08-07T04:37:30.152659Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.01285","last_updated":"2022-11-02T17:07:16Z","snapshot_observed_at":"2026-07-06T14:13:39.478174Z","submitted_at":"2022-11-02T17:07:16Z","title":"FeynGKZ: a Mathematica package for solving Feynman integrals using GKZ hypergeometric systems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.01285","snapshot_observed_at":"2026-08-07T04:37:30.201431Z","title":"FeynGKZ: A Mathematica package for solving Feynman integrals using GKZ hypergeometric systems,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:30.201431Z"},"links":{"cited_paper":"/paper/2211.01285","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:ac9781a45ec07ff662fb45b35b9b33db602c95170fde80051350cb871b206370","observation_id":"9ce54192-12da-49ea-8d44-bcb11204659c","resolution":{"observed_at":"2026-08-07T04:37:30.201431Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.04224","last_updated":"2022-09-11T01:39:28Z","snapshot_observed_at":"2026-08-03T09:32:24.680553Z","submitted_at":"2022-06-09T02:22:13Z","title":"Feynman Integrals of Grassmannians","version":2},"cited_work":{"arxiv_id":"2206.04224","doi":null,"metadata_source":"pith","pith_arxiv_id":"2206.04224","snapshot_observed_at":"2026-08-07T04:37:33.249145Z","title":"Feynman Integrals of Grassmannians","venue":"hep-th","work_id":"043c98b1-d0c0-49c4-9648-faed44a0599c","year":2022},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:30.278507Z"},"links":{"cited_paper":"/paper/2206.04224","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:5fa5a6f6c5ba944e687451ffcec4edbbfe693874ffeeb789778538ec113b545c","observation_id":"12a382f2-b89f-42f5-9057-9c8dd04a7a3a","resolution":{"observed_at":"2026-08-07T04:37:33.253006Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2209.15194","last_updated":"2023-03-28T08:02:36Z","snapshot_observed_at":"2026-07-06T13:58:02.046343Z","submitted_at":"2022-09-30T02:40:58Z","title":"GKZ-system of the 2-loop self energy with 4 propagators","version":2},"cited_work":{"arxiv_id":"2209.15194","doi":null,"metadata_source":"pith","pith_arxiv_id":"2209.15194","snapshot_observed_at":"2026-08-07T04:37:33.230618Z","title":"GKZ-system of the 2-loop self energy with 4 propagators","venue":"hep-th","work_id":"35018cbd-fe57-469d-b0f0-05fad17c518c","year":2022},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:30.382040Z"},"links":{"cited_paper":"/paper/2209.15194","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:bc4bc73d1611fcde0dfa18f2c548822ae8636ecbdde235281774293cff82e6e6","observation_id":"699b6ab1-d77e-49a6-a3a7-eb6b9cfed5dd","resolution":{"observed_at":"2026-08-07T04:37:33.234815Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1912.01726","last_updated":"2020-02-14T22:30:50Z","snapshot_observed_at":"2026-07-06T08:41:52.497343Z","submitted_at":"2019-12-03T22:41:18Z","title":"GKZ-hypergeometric systems for Feynman integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.01726","snapshot_observed_at":"2026-08-07T04:37:30.435242Z","title":"GKZ-hypergeometric systems for Feyn- man integrals,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:30.435242Z"},"links":{"cited_paper":"/paper/1912.01726","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:4d47227a25c76b5da72bf1f7068776382c6c3a9e64e8894606ef020dd0360e1e","observation_id":"71d760a8-262c-43c0-8b41-fef4a7e137b6","resolution":{"observed_at":"2026-08-07T04:37:30.435242Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.02795","last_updated":"2023-05-12T14:35:54Z","snapshot_observed_at":"2026-07-06T14:58:55.988823Z","submitted_at":"2023-03-05T23:06:24Z","title":"GKZ hypergeometric systems of the three-loop vacuum Feynman integrals","version":3},"cited_work":{"arxiv_id":"2303.02795","doi":null,"metadata_source":"pith","pith_arxiv_id":"2303.02795","snapshot_observed_at":"2026-08-07T04:37:33.197149Z","title":"GKZ hypergeometric systems of the three-loop vacuum Feynman integrals","venue":"hep-th","work_id":"b1a78620-de5d-45f0-b928-62e5842bb444","year":2023},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:30.493572Z"},"links":{"cited_paper":"/paper/2303.02795","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:8841afc15d7af7bd65d4eead003a05aaea4ea90213384426a7531a83d9434c02","observation_id":"1c6ba654-a5b6-464b-b28b-6f4adcd32948","resolution":{"observed_at":"2026-08-07T04:37:33.202932Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:34.042895Z","title":"On feynman graphs, matroids, and gkz- systems,","venue":null,"work_id":"c9a8de0e-a070-43c4-94cf-a6c01807a047","year":2022},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:30.543551Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:df8d7c0b6953d52f3843b890ce39e031450ac333bb3e02aa78223c1fe5fc26c4","observation_id":"5bffe9ba-a3b9-48db-aaf2-6bd84d5aebbe","resolution":{"observed_at":"2026-08-07T04:37:34.046776Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.02629","last_updated":"2023-10-27T10:14:37Z","snapshot_observed_at":"2026-08-06T07:28:00.001150Z","submitted_at":"2023-04-05T17:54:48Z","title":"Symbol Alphabets from the Landau Singular Locus","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.02629","snapshot_observed_at":"2026-08-07T04:37:30.628989Z","title":"Symbol Alphabets from the Landau Singular Locus,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:30.628989Z"},"links":{"cited_paper":"/paper/2304.02629","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:811a7cfd45336666c3dde3a3afd70aff95bf73842a2455efce73a2d44834c600","observation_id":"3b947dfa-3784-45a9-9857-5daeb6740bbd","resolution":{"observed_at":"2026-08-07T04:37:30.628989Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.08967","last_updated":"2024-04-10T15:35:02Z","snapshot_observed_at":"2026-08-01T14:52:16.698956Z","submitted_at":"2022-08-18T17:16:58Z","title":"Vector Spaces of Generalized Euler Integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.08967","snapshot_observed_at":"2026-08-07T04:37:30.721541Z","title":"Vector spaces of generalized Euler integrals,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:30.721541Z"},"links":{"cited_paper":"/paper/2208.08967","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:c3907d0f338335196981137e90844edbfd6869c22f6a7cfb89f1a5ff0b21e450","observation_id":"62ae8511-9f1d-40d2-a8f7-a4e05b7526c3","resolution":{"observed_at":"2026-08-07T04:37:30.721541Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2207.09780","last_updated":"2022-07-20T09:43:52Z","snapshot_observed_at":"2026-07-06T13:33:20.950270Z","submitted_at":"2022-07-20T09:43:52Z","title":"Feynman Integral Relations from GKZ Hypergeometric Systems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.09780","snapshot_observed_at":"2026-08-07T04:37:30.842838Z","title":"Feynman Integral Relations from GKZ Hypergeometric Systems,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:30.842838Z"},"links":{"cited_paper":"/paper/2207.09780","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:2092d85cdc49a8fdf7d01916f92cdd3a9b98be66a042999c6d127cc7d2208b25","observation_id":"8f4d612a-96fc-415e-852e-dff32add828d","resolution":{"observed_at":"2026-08-07T04:37:30.842838Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1912.06201","last_updated":"2020-01-14T16:07:11Z","snapshot_observed_at":"2026-08-06T01:14:11.272284Z","submitted_at":"2019-12-12T20:44:54Z","title":"The $l$-loop Banana Amplitude from GKZ Systems and relative Calabi-Yau Periods","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.06201","snapshot_observed_at":"2026-08-07T04:37:30.918940Z","title":"Thel-loop Banana Amplitude from GKZ Systems and relative Calabi-Yau Periods,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:30.918940Z"},"links":{"cited_paper":"/paper/1912.06201","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:63acdcba71ca2360823882467de6b06ab55cab7be8213e1571fa02ece5fa3338","observation_id":"7c2fb30c-b2de-4328-906d-1defa904d693","resolution":{"observed_at":"2026-08-07T04:37:30.918940Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.10574","last_updated":"2021-05-14T13:56:14Z","snapshot_observed_at":"2026-08-05T16:38:19.088220Z","submitted_at":"2020-08-24T17:25:17Z","title":"Analytic Structure of all Loop Banana Amplitudes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.10574","snapshot_observed_at":"2026-08-07T04:37:30.993504Z","title":"Analytic structure of all loop banana integrals,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:30.993504Z"},"links":{"cited_paper":"/paper/2008.10574","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:e9f84dcfbcb475d0f98eeffd6c5a75a135c848935f449e0cc7e465a5e94efecf","observation_id":"314ce423-90ca-48f3-ade7-ff2e671e9f10","resolution":{"observed_at":"2026-08-07T04:37:30.993504Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.03564","last_updated":"2024-04-04T16:20:07Z","snapshot_observed_at":"2026-07-06T17:55:44.838732Z","submitted_at":"2024-04-04T16:20:07Z","title":"Polytope symmetries of Feynman integrals","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.03564","snapshot_observed_at":"2026-08-07T04:37:31.031277Z","title":"Polytope symmetries of Feyn- man integrals,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:31.031277Z"},"links":{"cited_paper":"/paper/2404.03564","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:1d0317f26199e61afbfdd42de6730e006c3ccd09bec25b9ca0c5dbdcfc8a2567","observation_id":"d696593d-231b-4c0f-b5b3-a593f6920400","resolution":{"observed_at":"2026-08-07T04:37:31.031277Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.13815","last_updated":"2025-03-21T10:45:30Z","snapshot_observed_at":"2026-07-06T19:18:57.862380Z","submitted_at":"2024-09-20T18:00:06Z","title":"Reductions of GKZ Systems and Applications to Cosmological Correlators","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.13815","snapshot_observed_at":"2026-08-07T04:37:31.172635Z","title":"Reductions of GKZ systems and applications to cosmological corre- lators,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:31.172635Z"},"links":{"cited_paper":"/paper/2409.13815","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:51bd5b9c8fb84dc1ce5f227c8f341df92ac9fdfd499ef743763dc819fba0db0c","observation_id":"144c9c6c-d0a7-4b31-8ad4-7b5c190c71b1","resolution":{"observed_at":"2026-08-07T04:37:31.172635Z","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":"2026-08-07T04:37:34.031551Z","title":"Differential equations for the Feynman integral of the self-energy diagram,","venue":null,"work_id":"07574378-503c-46a5-9b45-866c957507c1","year":1973},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:31.259766Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:6b6628d9a963a038edb506f08fe7b56d85ec0a5f26e3d8f3bc7f40eabd5edf6f","observation_id":"56bffb96-f513-404b-b19d-1495fadefd6d","resolution":{"observed_at":"2026-08-07T04:37:34.035248Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:34.020179Z","title":"The differential equations for the feynman amplitude of a single-loop graph with four vertices,","venue":null,"work_id":"33ac7c4c-9426-4341-878a-7095e78c5ce5","year":1978},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:31.371367Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:5e03a98f68de8a8f3a6db739852655de997424b95146107bbe5dd675e0ee6ec9","observation_id":"1bc59a6f-9a2a-47f9-86f6-952f61fde2f3","resolution":{"observed_at":"2026-08-07T04:37:34.023813Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:34.008614Z","title":"integration vari- ables were earlier considered in [62]","venue":null,"work_id":"0e540bc9-7d86-44d2-b051-d08333d5b1f5","year":null},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:31.472998Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:1e8220a3c63ae9fb9e793971dc3931f0b5a754f138d4d6dd6f974a726ea167ab","observation_id":"40517c01-a86c-49b4-9b9c-b5dec614f652","resolution":{"observed_at":"2026-08-07T04:37:34.012318Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1712.09215","last_updated":"2018-03-16T17:57:45Z","snapshot_observed_at":"2026-08-06T15:16:39.429400Z","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":"2026-08-07T04:37:31.567634Z","title":"Feynman integral relations from para- metric annihilators,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:31.567634Z"},"links":{"cited_paper":"/paper/1712.09215","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:801f81a670e71a58c35b21306c0ec1c46966ff78529fafd1d0283e9ad2fbc231","observation_id":"ff461dbf-daae-4a56-a80a-bdbb79404548","resolution":{"observed_at":"2026-08-07T04:37:31.567634Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1308.6676","last_updated":"2013-09-06T10:44:54Z","snapshot_observed_at":"2026-08-02T15:28:25.465540Z","submitted_at":"2013-08-30T08:29:14Z","title":"Critical points and number of master integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1308.6676","snapshot_observed_at":"2026-08-07T04:37:31.643876Z","title":"Critical points and number of master integrals,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:31.643876Z"},"links":{"cited_paper":"/paper/1308.6676","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:9f9dc358d3086d3dd7550d3941cbcd58bf932f49de0a2f1f8411e03e3f462230","observation_id":"8900885e-cec1-4e47-b086-68db1764a8f1","resolution":{"observed_at":"2026-08-07T04:37:31.643876Z","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":"2026-08-07T04:37:33.997045Z","title":"Twisted cohomology and likelihood ideals,","venue":null,"work_id":"3e6c8487-2680-472c-a804-a1648d2c61f3","year":2025},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:31.723668Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:41a083320413f4b8d0e8dcc1c9ecdc8cda39f8e0d400f5ed7bf5f97300b221ec","observation_id":"b6c931cc-f91b-4364-b9e3-2a99c2be86a9","resolution":{"observed_at":"2026-08-07T04:37:34.000929Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:33.985224Z","title":"Hypergeometric functions and rings generated by monomials,","venue":null,"work_id":"3e6ab923-f910-45ce-9078-20439ca4d0c3","year":1994},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:31.882971Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:b73161988670c7c715ec34d447030ec9d24a13bc83a5940013515a4494e0d4b5","observation_id":"5e11d297-e94d-4ef7-9c71-cce2b091ae13","resolution":{"observed_at":"2026-08-07T04:37:33.989071Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:33.973720Z","title":"6 (Springer, Berlin, 2000) pp","venue":null,"work_id":"33c96e90-cbe4-4f56-a596-f4bd0a1be338","year":2000},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.005852Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:dc4cc2e43e9265b65ce33fe8bb5dbc633c26d9c73b6ea863f07585976e92e29d","observation_id":"b46d37bb-f4ad-462f-b05b-cc9f877a0643","resolution":{"observed_at":"2026-08-07T04:37:33.977303Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:33.961667Z","title":"The maximum likelihood degree,","venue":null,"work_id":"2eb5f797-15c8-49e5-aa5e-f4144d3da555","year":2006},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.131514Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:c84407af27b1c4a54db900df7de5d3789e1eec44623082a7c33706f2b12f7db6","observation_id":"fd6ea2a7-6127-4da9-944a-b4b8cdf9f290","resolution":{"observed_at":"2026-08-07T04:37:33.965660Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:33.949806Z","title":null,"venue":null,"work_id":"f5f06f5c-2797-4048-9aa9-15f70f0e1dd8","year":null},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.216900Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:3b317a8b34859a4e8473c2a5f4f7cdeaa48d1156d77b97321114b57626b4e775","observation_id":"0b01dc4c-3f38-455d-8e16-000698a8e596","resolution":{"observed_at":"2026-08-07T04:37:33.953546Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:33.937156Z","title":"Relations among the rational Weyl algebraR m, the polynomial Weyl algebra D, and their sheaf-theoretic counterparts are also dis- cussed in these references","venue":null,"work_id":"a0e9e251-c6e0-42db-81fa-92d3b8ac3614","year":null},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.367577Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:d8dca4088201b78211586595ee846cb66f77c3451a85cfe59fe5fca496a7f9fd","observation_id":"97dac8d3-5ab8-45b2-a7a1-11fed9143d53","resolution":{"observed_at":"2026-08-07T04:37:33.941592Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:33.924780Z","title":"(Springer, Tokyo, Japan, 2014)","venue":null,"work_id":"f47be648-1987-4296-9d14-f2c15db76759","year":2014},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.496956Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:3b9924995ef3b3753af5023bb3ef2aedf8a02e6833602262401f25c7a0bdda97","observation_id":"dce84574-db65-420c-8281-6f9a06f78b70","resolution":{"observed_at":"2026-08-07T04:37:33.928324Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:33.912640Z","title":"Algorithms forD-modules—restriction, tensor product, localization, and local cohomology groups,","venue":null,"work_id":"908c5a94-c42b-4e40-8585-3c292cd0ca2d","year":2001},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.613219Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:a06cc9296cb6d30bd4a2ff3eab8c767a4b34c77bd7f58bb5adb99f9b8e6f19f6","observation_id":"9e72b458-d8fd-446c-ac65-23136c1cbf30","resolution":{"observed_at":"2026-08-07T04:37:33.916549Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:33.901078Z","title":null,"venue":null,"work_id":"436de00b-f810-4914-87d2-88be8b832731","year":2011},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.731941Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:ba67654e7692df76d35a021893f76d68925e3720cec89fb3547f71ed1742738a","observation_id":"2e42847c-613a-452d-9bf7-a5c36be3e628","resolution":{"observed_at":"2026-08-07T04:37:33.904533Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:33.888911Z","title":", sm]⟨∂1,","venue":null,"work_id":"508dcf74-631d-4b1c-9da3-6c13069155a8","year":null},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.825213Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:b3090de1b53aec2052cb4b84e5642eaf2506f43e0ebe608ea01036410a9abcb3","observation_id":"c7453cd1-b82e-4943-82a8-80d811204bc9","resolution":{"observed_at":"2026-08-07T04:37:33.893148Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:33.876774Z","title":"The Chern-Schwartz-Macpherson class of an embeddable scheme,","venue":null,"work_id":"43dec2e5-fb2b-4421-96bc-3adcc2070399","year":2019},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.829226Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:8f8fdb46b135153ef236783587209672a87d3eeb7cc16fa8a086f66901b8d7c4","observation_id":"cad6545b-3690-4c5d-be54-217189c15068","resolution":{"observed_at":"2026-08-07T04:37:33.880602Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2002.10476","last_updated":"2021-01-29T15:41:37Z","snapshot_observed_at":"2026-07-06T08:59:42.044090Z","submitted_at":"2020-02-24T19:01:07Z","title":"Status of Intersection Theory and Feynman Integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2002.10476","snapshot_observed_at":"2026-08-07T04:37:32.832654Z","title":"Status of Intersection Theory and Feynman Integrals,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.832654Z"},"links":{"cited_paper":"/paper/2002.10476","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:329cd2e0b07612b87f75622e491fbb211ba5a9e059a5b5366f0bc85f7169e0c7","observation_id":"71813537-04bb-4a8c-a1af-230558e0ae95","resolution":{"observed_at":"2026-08-07T04:37:32.832654Z","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":"2026-08-07T04:37:33.863987Z","title":"Intersection theory for twisted cohomologies and twisted Riemann’s period re- lations I,","venue":null,"work_id":"37541124-1490-4a74-a62f-94396ed58774","year":1995},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.836415Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:014c8de30f283501b6b64a9cf1ba06e12a17d3a6f6ffe48481a4245c0156ac57","observation_id":"e5b627b7-bab9-4db9-beb5-12aee6403304","resolution":{"observed_at":"2026-08-07T04:37:33.868226Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:33.850907Z","title":"Relative Twisted Homology and Co- homology Groups Associated with Lauricella’s FD,","venue":null,"work_id":"3e62787f-5da4-451d-8f41-18b0893b7511","year":2024},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.840039Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:f36451e3ede740f2fd124c35c3451d41dfd1a73fdef5c24f853e01b421e541ec","observation_id":"14ac01ce-a7e1-4815-9a24-f139ff87d2d3","resolution":{"observed_at":"2026-08-07T04:37:33.854920Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:33.838733Z","title":"(16) the following relation is employed: χ({α1 · · ·αn ̸= 0} \\V) =χ({α 1 · · ·αn ̸= 0})−χ(V) =−χ(V) =χ(P n−1)−χ(V E(f)) =n−χ(V E(f)),with χ({α1 · · ·αn ̸= 0}) = 0 andχ(P n−1) =n","venue":null,"work_id":"b1c32497-8044-4f5a-932d-e5b204e7bfbf","year":null},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.843444Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:cea102b1ea8f85c0bd6a48eeec017985cb5891a254165230d2d649ddba341c22","observation_id":"01a0af3f-a9bb-42f5-ab42-40dd3ba29bb1","resolution":{"observed_at":"2026-08-07T04:37:33.842808Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:33.826901Z","title":null,"venue":null,"work_id":"a31e79ad-4be4-4720-b303-d94e6f764295","year":null},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.846934Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:a48533e33a1f404e8f4bee4e56f4d295d1366d889762e77931db4368e7b89097","observation_id":"ca333484-615f-419e-9a31-51fd1d0afbf1","resolution":{"observed_at":"2026-08-07T04:37:33.830478Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:33.814281Z","title":null,"venue":null,"work_id":"eb5bcd74-a0eb-493c-aa07-953dfc3f0088","year":2014},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.850442Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:a45935873d8177407e04d400c38c7877ed8b4a2b96bd3e8a481719176a6b372e","observation_id":"81939a5e-5701-497b-952a-0392c1a730e8","resolution":{"observed_at":"2026-08-07T04:37:33.817864Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:33.800927Z","title":"Computing periods of rational integrals,","venue":null,"work_id":"ae60489f-e9c8-4baf-910c-d4bc733d7ca0","year":2015},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.854372Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:70836373a51433e76b17e7a128bedcf0fa7dcd063a71557f5fbe956540871eda","observation_id":"c9ccd57f-b1ff-4ea9-9b85-7bf80a47c2f9","resolution":{"observed_at":"2026-08-07T04:37:33.804960Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:32.858025Z","title":"Faster multivariate integration in d-modules,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.858025Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:30bec3fdaae00e3e332b0a7ffe6dff5b7546b54798d8c66ea9ef77be68ead595","observation_id":"1e1e24d8-dd26-4d8f-8f5d-342fffdd06dd","resolution":{"observed_at":"2026-08-07T04:37:32.858025Z","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":"2026-08-07T04:37:33.787505Z","title":null,"venue":null,"work_id":"1f1ff22b-a73e-479a-9237-4b4e60a19ab9","year":null},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.861635Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:7ad886169ae68c77917cb197da9de0ba2599aeee98616993a35dacd5deb031f0","observation_id":"235f2259-0f1f-4521-a13d-a6f7d8c602fe","resolution":{"observed_at":"2026-08-07T04:37:33.791998Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:33.775027Z","title":"The solution of syzygy equations, the holonomic rank and the singular locus of the generatedD-modules are computed within the computer algebra systemSingular [90]","venue":null,"work_id":"05335b74-2e8d-433c-b71c-1da2c615c45f","year":null},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.865473Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:b22360d4431f0f17937943fa0dfd3c3805926521db3cd6db5e860705ccfa86c1","observation_id":"159bd456-3fc3-4a44-8996-958ee9415991","resolution":{"observed_at":"2026-08-07T04:37:33.779208Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2207.12893","last_updated":"2022-08-12T07:22:46Z","snapshot_observed_at":"2026-07-06T13:35:29.958339Z","submitted_at":"2022-07-26T13:42:59Z","title":"The three-loop equal-mass banana integral in $\\varepsilon$-factorised form with meromorphic modular forms","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.12893","snapshot_observed_at":"2026-08-07T04:37:32.868801Z","title":"The three-loop equal-mass banana integral inε-factorised form with meromorphic modular forms,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.868801Z"},"links":{"cited_paper":"/paper/2207.12893","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:7ad9327babf7dfc423fdde733d433139fe90f3d680a8f063de22f451525d0905","observation_id":"88c4109f-80a5-4c46-ae9d-95987b87abd4","resolution":{"observed_at":"2026-08-07T04:37:32.868801Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.09626","last_updated":"2022-08-05T13:43:53Z","snapshot_observed_at":"2026-08-03T15:46:32.326690Z","submitted_at":"2022-01-24T12:09:37Z","title":"Analytical evaluation of AdS${}_4$ Witten diagrams as flat space multi-loop Feynman integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.09626","snapshot_observed_at":"2026-08-07T04:37:32.872442Z","title":"Analytical evaluation of AdS 4 Witten diagrams as flat space multi-loop Feynman integrals,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.872442Z"},"links":{"cited_paper":"/paper/2201.09626","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:fa83c1d5e9ce7a63769384599b833ade25e46301411483b507c127f696eefc23","observation_id":"d5261496-dfed-4316-8960-824274b87404","resolution":{"observed_at":"2026-08-07T04:37:32.872442Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.13163","last_updated":"2025-07-15T05:46:15Z","snapshot_observed_at":"2026-08-07T15:43:10.642220Z","submitted_at":"2025-05-19T14:22:30Z","title":"Hypergeometric Discriminants","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.13163","snapshot_observed_at":"2026-08-07T04:37:32.876202Z","title":"Hypergeometric Dis- criminants,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.876202Z"},"links":{"cited_paper":"/paper/2505.13163","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:968420a671d3d2f9812260344cbd552aa23345a7ca99cdf3b1d960015e024ec2","observation_id":"7fd501b3-764d-4d43-be7a-c29fb22afba3","resolution":{"observed_at":"2026-08-07T04:37:32.876202Z","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":"2026-08-07T04:37:33.762339Z","title":"Algebraic study of systems of partial differential equations,","venue":null,"work_id":"1c772f57-9d74-4598-a6d9-3ef2d2657d8d","year":1995},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.880338Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:24d27d5ec2d4909e98d5bafda76e4ed10771898a0c264a04a2cf4c5cb50e44a6","observation_id":"55a7f956-8354-45f5-9b1e-53072e20a3dc","resolution":{"observed_at":"2026-08-07T04:37:33.766586Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:33.749388Z","title":"Mathematica, Version 14.2,","venue":null,"work_id":"51b4106c-93f3-4a4c-9f4e-16d308043d33","year":2024},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.883992Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:e547d5a1cf7016f6ace0b506c9507d55192b765616febddefc9b062090a075e4","observation_id":"2010c587-d4db-4564-8112-5b11b34c155e","resolution":{"observed_at":"2026-08-07T04:37:33.753555Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:32.887534Z","title":"Singular4-4-0 — A computer algebra system for polynomial computations,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.887534Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:57e01f147bacd4636f211234f9b20c9054f08f7f67a5ca26f52450eaf48c235f","observation_id":"18795f47-91d5-44b0-9895-1bb3dc14f301","resolution":{"observed_at":"2026-08-07T04:37:32.887534Z","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":"2026-08-07T04:37:33.728055Z","title":"Macaulay2, a software system for research in algebraic geometry,","venue":null,"work_id":"de800fa8-d9f8-420d-95b1-01c3055325b4","year":null},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.891063Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:0d0818a04a652a6b0957defeb4aebac941b3471c297fc7b09b283833cf9156f8","observation_id":"abe90f0f-536e-4d00-a07d-9dc68fb54949","resolution":{"observed_at":"2026-08-07T04:37:33.731921Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T04:37:33.714602Z","title":"Openxm project (including risa/asir distribution),","venue":null,"work_id":"1b86cfbf-c48c-4b99-a67b-646c8f4edeb1","year":null},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.894498Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:6d18c20c3ca0decd6924107054ca42fc09c58b587e36bba85ca37678ef8b7dd0","observation_id":"2a70366b-b8c7-44b9-8548-6b35c19beb97","resolution":{"observed_at":"2026-08-07T04:37:33.718948Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.08019","last_updated":"2019-07-17T10:17:15Z","snapshot_observed_at":"2026-08-04T21:37:56.686306Z","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":"2026-08-07T04:37:32.897928Z","title":"FiniteFlow: multivariate functional re- construction using finite fields and dataflow graphs,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.897928Z"},"links":{"cited_paper":"/paper/1905.08019","citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:0214469a549c49377b4a307cf903c174118cdcb72cbc125339cdde44fbd68b42","observation_id":"2847d68b-7125-4b32-97c8-394284424b09","resolution":{"observed_at":"2026-08-07T04:37:32.897928Z","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":"2026-08-07T04:37:33.700734Z","title":"Maple 2024.1. Maplesoft, a division of Waterloo Maple Inc., Waterloo, Ontario,","venue":null,"work_id":"cdb00fb7-85e2-4aa3-b0bd-6ab7199f49e9","year":2024},"citing_paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-07T04:37:32.901609Z"},"links":{"citing_paper":"/paper/2506.10456"},"observation_digest":"sha256:f0c555c151fc22090d14a7993e1c6446e2735913c41edeffde01cdbb5dd5e31b","observation_id":"ea9bd8fe-8b2d-4a38-8991-2f206ae74a7e","resolution":{"observed_at":"2026-08-07T04:37:33.705339Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.10456","last_updated":"2025-06-12T08:04:44Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-07T04:23:16.516487Z","submitted_at":"2025-06-12T08:04:44Z","title":"Differential Space of Feynman Integrals: Annihilators and $\\mathcal{D}$-module"},"reference_resolution":{"displayed":94,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":64,"verified_exact":7,"verified_fuzzy":23},"total_outbound_references":94},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 94 of 94 outbound references and 1 inbound Pith citation observation for arXiv:2506.10456."}