{"as_of":"2026-08-07T07:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:34df464f20b5576b18182624b4f1792b5e35006e6cab8615264d4f7dcace4b2d","coverage":[{"denominator":129,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T14:46:49.564206Z","state":"measured"},{"denominator":103,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":103,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-30T01:50:25.042094Z","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":"2026-06-30T03:04:14.681035Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"cited_work":{"arxiv_id":"2507.17815","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.17815","snapshot_observed_at":"2026-06-30T03:04:14.681035Z","title":"Barrera, A","venue":null,"work_id":"dee7357b-3f63-4730-9bb3-25ed34ec1454","year":2026},"citing_paper":{"arxiv_id":"2604.20954","last_updated":"2026-04-22T18:00:01Z","snapshot_observed_at":"2026-07-06T23:07:36.996629Z","submitted_at":"2026-04-22T18:00:01Z","title":"SubTropica","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-05-09T23:40:27.537334Z"},"links":{"cited_paper":"/paper/2507.17815","citing_paper":"/paper/2604.20954"},"observation_digest":"sha256:ac87630a8fdbbeb6b01ece05f9488b1d4aa5b03dddc9cef4080c3486544c273d","observation_id":"048ffbab-61cb-4baf-8b74-7adb8da13270","resolution":{"observed_at":"2026-05-11T14:01:08.702719Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"cited_work":{"arxiv_id":"2507.17815","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.17815","snapshot_observed_at":"2026-06-30T03:04:14.681035Z","title":"Barrera, A","venue":null,"work_id":"dee7357b-3f63-4730-9bb3-25ed34ec1454","year":2026},"citing_paper":{"arxiv_id":"2605.30216","last_updated":"2026-05-28T16:48:44Z","snapshot_observed_at":"2026-08-01T21:32:02.648719Z","submitted_at":"2026-05-28T16:48:44Z","title":"HyperPrecision: A Mathematica package for High-Precision Numerical Evaluation of Multivariate Hypergeometric Functions","version":1},"reference_index":110,"source":"pdf_text","source_observed_at":"2026-06-29T06:30:54.899745Z"},"links":{"cited_paper":"/paper/2507.17815","citing_paper":"/paper/2605.30216"},"observation_digest":"sha256:cd715822e104b229fddd1445ba606eeddcbb14431964cfa27ad2d1b430951c1b","observation_id":"444ed42b-5f33-4768-991a-7042cd0dbea9","resolution":{"observed_at":"2026-06-29T06:33:11.958038Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"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":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"cited_work":{"arxiv_id":"2507.17815","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.17815","snapshot_observed_at":"2026-06-30T03:04:14.681035Z","title":"Barrera, A","venue":null,"work_id":"dee7357b-3f63-4730-9bb3-25ed34ec1454","year":2026},"citing_paper":{"arxiv_id":"2606.29612","last_updated":"2026-06-28T21:36:40Z","snapshot_observed_at":"2026-08-01T23:38:15.249654Z","submitted_at":"2026-06-28T21:36:40Z","title":"Landau's Leviathans","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-30T01:50:25.042094Z"},"links":{"cited_paper":"/paper/2507.17815","citing_paper":"/paper/2606.29612"},"observation_digest":"sha256:bc902a63f1dc54e16751ebbe86411143c7ee3205ec96fbbe08d73a82fb066fad","observation_id":"4784952e-ede5-46d7-ba35-dee4bc6eaf8a","resolution":{"observed_at":"2026-06-30T03:04:14.682800Z","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/2507.17815/citation-record","integrity":"/paper/2507.17815/integrity","json":"/paper/2507.17815/citation-record.json","paper":"/paper/2507.17815"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:46:49.142866Z","title":"Landau,On analytic properties of vertex parts in quantum field theory, Nucl","venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.142866Z"},"links":{"citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:16ce1895ab7d53eeca60f6c1a5286c0bb554af2a9bb86580f4bb295fb9905f22","observation_id":"26caccb0-6924-443a-9930-904c511bc32b","resolution":{"observed_at":"2026-08-06T14:46:49.142866Z","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":"2026-08-06T14:46:49.147597Z","title":"Eden, P.V","venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.147597Z"},"links":{"citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:72f242c8e3f3c93de53908b08534d442de629b78770ebae58115c71b13e653e1","observation_id":"3c963131-0bbb-4d16-abfd-7c1316fe2422","resolution":{"observed_at":"2026-08-06T14:46:49.147597Z","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":"2026-08-06T14:46:49.151673Z","title":"Steinmann,Über den Zusammenhang Zwischen den Wightmanfunktionen und der Retardierten Kommutatoren, Helv","venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.151673Z"},"links":{"citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:c7fd6eba5370b8de30214d639ca67ee639ee605432dfbe92a8744694e39d3f50","observation_id":"80aa815f-b57e-481e-9afb-703ff155d3eb","resolution":{"observed_at":"2026-08-06T14:46:49.151673Z","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":"2026-08-06T14:46:49.155780Z","title":"Steinmann,Wightman-Funktionen und Retardierte Kommutatoren","venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.155780Z"},"links":{"citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:32fe05f1172dae3d5e97afebd265da6651988db66827de1b5da454582b2232df","observation_id":"0bceb25a-223f-4bb9-bc17-52f3723269ab","resolution":{"observed_at":"2026-08-06T14:46:49.155780Z","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":"2026-08-06T14:46:49.159963Z","title":"Pham,Singularités des processus de diffusion multiple, Annales de l’I.H.P","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.159963Z"},"links":{"citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:05965887c22f20cae5a0e9b953e16be6cf2dfc5a7a24a6a655a801ef37a1947e","observation_id":"91fb3516-2180-4d38-b222-f102528f24db","resolution":{"observed_at":"2026-08-06T14:46:49.159963Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.14669","last_updated":"2024-03-04T21:31:31Z","snapshot_observed_at":"2026-07-31T18:40:02.722346Z","submitted_at":"2023-11-24T18:58:41Z","title":"Landau Singularities Revisited: Computational Algebraic Geometry for Feynman Integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.14669","snapshot_observed_at":"2026-08-06T14:46:49.164364Z","title":"Fevola, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.164364Z"},"links":{"cited_paper":"/paper/2311.14669","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:730d309bb46258a9923ccfdcb07dcbde18b8aca492eb97140cbd7350ba7467ba","observation_id":"db59df0f-9040-4e33-bd23-c841f70f435c","resolution":{"observed_at":"2026-08-06T14:46:49.164364Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.09744","last_updated":"2023-02-02T09:49:41Z","snapshot_observed_at":"2026-07-06T11:49:38.497583Z","submitted_at":"2021-09-20T18:00:00Z","title":"Implications of the Landau Equations for Iterated Integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.09744","snapshot_observed_at":"2026-08-06T14:46:49.169187Z","title":"Hannesdottir, A.J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.169187Z"},"links":{"cited_paper":"/paper/2109.09744","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:43197e31260e933ed4358a6b71cd516b5f0aec330fc74d4ff8b9681fcbd8cc5b","observation_id":"8d19a175-1e09-408a-b99f-26235c22ce1c","resolution":{"observed_at":"2026-08-06T14:46:49.169187Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.07633","last_updated":"2022-11-14T18:57:28Z","snapshot_observed_at":"2026-08-02T02:04:04.668493Z","submitted_at":"2022-11-14T18:57:28Z","title":"Constraints on Sequential Discontinuities from the Geometry of On-shell Spaces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.07633","snapshot_observed_at":"2026-08-06T14:46:49.173813Z","title":"Hannesdottir, A.J","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.173813Z"},"links":{"cited_paper":"/paper/2211.07633","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:c476e578d5be69c8ceea854accd22ee1e0c830bb82901e02df07af815d3979e9","observation_id":"836f1ba2-3306-4c64-b577-6bec17994d2a","resolution":{"observed_at":"2026-08-06T14:46:49.173813Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9803091","last_updated":"1998-03-11T09:33:09Z","snapshot_observed_at":"2026-07-07T05:16:12.441340Z","submitted_at":"1998-03-11T09:33:09Z","title":"Massive 3-loop Feynman diagrams reducible to SC* primitives of algebras of the sixth root of unity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9803091","snapshot_observed_at":"2026-08-06T14:46:49.177891Z","title":"Broadhurst,Massive three - loop Feynman diagrams reducible to SC* primitives of algebras of the sixth root of unity, Eur","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.177891Z"},"links":{"cited_paper":"/paper/hep-th/9803091","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:0cc61211842249b9e1ad94d6907b7bbd3c82db44fb8dbd37eeb2e57e61aa5ba7","observation_id":"5f758d3c-2dd2-432b-b440-0df8ca5533ef","resolution":{"observed_at":"2026-08-06T14:46:49.177891Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0711.4863","last_updated":"2009-03-04T07:45:18Z","snapshot_observed_at":"2026-07-06T01:35:50.241998Z","submitted_at":"2007-11-30T13:26:30Z","title":"Periods and Feynman integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0711.4863","snapshot_observed_at":"2026-08-06T14:46:49.181938Z","title":"Bogner and S","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.181938Z"},"links":{"cited_paper":"/paper/0711.4863","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:7b79ee893fa5de359371c2a19e11162ea2b97c3b05384c91a2a5999c8f3537ca","observation_id":"afeb47fb-adf2-4207-a876-3ad5eac3d32a","resolution":{"observed_at":"2026-08-06T14:46:49.181938Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.07088","last_updated":"2022-03-14T13:18:26Z","snapshot_observed_at":"2026-07-06T12:47:31.689857Z","submitted_at":"2022-03-14T13:18:26Z","title":"Functions Beyond Multiple Polylogarithms for Precision Collider Physics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.07088","snapshot_observed_at":"2026-08-06T14:46:49.187330Z","title":"Bourjaily et al.,Functions Beyond Multiple Polylogarithms for Precision Collider Physics, inSnowmass 2021, 3, 2022 [2203.07088]","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.187330Z"},"links":{"cited_paper":"/paper/2203.07088","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:b01cd1c8b8a2630552cb279d8f62f86599a8c00074f3e80e4abba5b1129bc6d2","observation_id":"6c23e446-2306-4c96-9a47-dee4517d7f12","resolution":{"observed_at":"2026-08-06T14:46:49.187330Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1212.5605","last_updated":"2014-03-17T17:30:40Z","snapshot_observed_at":"2026-07-06T03:02:40.338020Z","submitted_at":"2012-12-21T21:00:02Z","title":"Scattering Amplitudes and the Positive Grassmannian","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1212.5605","snapshot_observed_at":"2026-08-06T14:46:49.192097Z","title":"Arkani-Hamed, J.L","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.192097Z"},"links":{"cited_paper":"/paper/1212.5605","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:ffc5dff679a277b51fbc09f9e13de33c89d3e2844e735ebb8467712a972fc692","observation_id":"3f7a9187-bbc3-443c-981c-1221b9a95ef9","resolution":{"observed_at":"2026-08-06T14:46:49.192097Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1205.1516","last_updated":"2012-10-08T18:44:06Z","snapshot_observed_at":"2026-08-05T02:31:50.249797Z","submitted_at":"2012-05-07T20:00:05Z","title":"Motivic Multiple Zeta Values and Superstring Amplitudes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1205.1516","snapshot_observed_at":"2026-08-06T14:46:49.196268Z","title":"Schlotterer and S","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.196268Z"},"links":{"cited_paper":"/paper/1205.1516","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:2206726c59a3cdddee1d0b12ec7f7146fae3d28abf503f3187ab450ca298638d","observation_id":"8d195a89-5b14-49f0-9089-5e8127cdc326","resolution":{"observed_at":"2026-08-06T14:46:49.196268Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1512.06409","last_updated":"2017-02-01T11:53:01Z","snapshot_observed_at":"2026-07-06T04:40:32.778267Z","submitted_at":"2015-12-20T17:25:41Z","title":"Feynman Amplitudes and Cosmic Galois group","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1512.06409","snapshot_observed_at":"2026-08-06T14:46:49.200114Z","title":"Brown,Feynman amplitudes, coaction principle, and cosmic Galois group, Commun","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.200114Z"},"links":{"cited_paper":"/paper/1512.06409","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:18e858396a020f4232270a2a41ace7d6166bc052626bc0145cfb135215073645","observation_id":"468e2623-3a55-4b51-be94-5835a890306d","resolution":{"observed_at":"2026-08-06T14:46:49.200114Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1603.04289","last_updated":"2017-05-18T08:11:07Z","snapshot_observed_at":"2026-07-06T04:49:23.860845Z","submitted_at":"2016-03-14T14:54:30Z","title":"The Galois coaction on $\\phi^4$ periods","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1603.04289","snapshot_observed_at":"2026-08-06T14:46:49.205017Z","title":"Panzer and O","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.205017Z"},"links":{"cited_paper":"/paper/1603.04289","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:d9adc57107c9a2029cfdc79dcfc4837e3d8ec4ab8945962ccad684c6bd74f6cc","observation_id":"ae35044a-86d7-4196-9c16-acfd850d795e","resolution":{"observed_at":"2026-08-06T14:46:49.205017Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1711.05118","last_updated":"2018-02-08T13:49:46Z","snapshot_observed_at":"2026-07-06T06:09:25.471912Z","submitted_at":"2017-11-14T14:41:35Z","title":"The Galois coaction on the electron anomalous magnetic moment","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1711.05118","snapshot_observed_at":"2026-08-06T14:46:49.210307Z","title":"Schnetz,The Galois coaction on the electron anomalous magnetic moment, Commun","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.210307Z"},"links":{"cited_paper":"/paper/1711.05118","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:e2598a116afccf74e8d6aabbbb8ea287df40ef43c30579c43c9cc84148057ba5","observation_id":"e11ad2de-bd32-42de-a2a3-3dd335b3e1ad","resolution":{"observed_at":"2026-08-06T14:46:49.210307Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1906.07116","last_updated":"2019-09-05T18:17:44Z","snapshot_observed_at":"2026-07-06T08:00:52.737572Z","submitted_at":"2019-06-17T16:33:14Z","title":"The Cosmic Galois Group and Extended Steinmann Relations for Planar $\\mathcal{N} = 4$ SYM Amplitudes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1906.07116","snapshot_observed_at":"2026-08-06T14:46:49.214536Z","title":"Caron-Huot, L.J","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.214536Z"},"links":{"cited_paper":"/paper/1906.07116","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:29dcff4f74a22afbdb5dc78dd6b22ae1b2c3c73db74ecc5bfa3fb4b45157452f","observation_id":"5c33799b-f3f6-4da2-b659-1020d85c0441","resolution":{"observed_at":"2026-08-06T14:46:49.214536Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.04781","last_updated":"2020-11-09T21:29:25Z","snapshot_observed_at":"2026-07-06T10:13:06.905381Z","submitted_at":"2020-11-09T21:29:25Z","title":"Cosmic Wheels: From integrability to the Galois coaction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.04781","snapshot_observed_at":"2026-08-06T14:46:49.219054Z","title":"Gürdoğan,From integrability to the Galois coaction on Feynman periods, Phys","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.219054Z"},"links":{"cited_paper":"/paper/2011.04781","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:04ebf1b89c9ae8d68ad3cbca4badd14569e18e321f4410b502f398ead1ec389e","observation_id":"44fd1564-75eb-4202-a799-96b6a79caa49","resolution":{"observed_at":"2026-08-06T14:46:49.219054Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.06243","last_updated":"2022-03-22T23:12:24Z","snapshot_observed_at":"2026-08-05T02:27:09.434811Z","submitted_at":"2021-12-12T14:03:20Z","title":"Folding Amplitudes into Form Factors: An Antipodal Duality","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.06243","snapshot_observed_at":"2026-08-06T14:46:49.223578Z","title":"Dixon, O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.223578Z"},"links":{"cited_paper":"/paper/2112.06243","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:bee64c745a7237442afdbb223bbd206f29edbb0af06b5103ffee76b67e947798","observation_id":"be233688-850e-41ab-82ec-eeedfba3fd41","resolution":{"observed_at":"2026-08-06T14:46:49.223578Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.02410","last_updated":"2024-12-01T00:11:53Z","snapshot_observed_at":"2026-08-05T00:13:50.818879Z","submitted_at":"2022-12-05T16:50:42Z","title":"Antipodal Self-Duality for a Four-Particle Form Factor","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.02410","snapshot_observed_at":"2026-08-06T14:46:49.227939Z","title":"Dixon, O","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.227939Z"},"links":{"cited_paper":"/paper/2212.02410","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:01d0ed0a574f67f11395f5d4da101619342ff20395e6e675afe94bf7b5dcdd1c","observation_id":"687c9546-1a2f-4982-b181-f94e2ddd9abe","resolution":{"observed_at":"2026-08-06T14:46:49.227939Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.02424","last_updated":"2024-10-03T12:14:40Z","snapshot_observed_at":"2026-07-06T19:26:58.835479Z","submitted_at":"2024-10-03T12:14:40Z","title":"The Landau Bootstrap","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.02424","snapshot_observed_at":"2026-08-06T14:46:49.231948Z","title":"Hannesdottir, A.J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.231948Z"},"links":{"cited_paper":"/paper/2410.02424","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:bc14f9e9d0b24d098116d507a60c09d874d2544d6e3207bd81efe13cf0c260e6","observation_id":"bf9cfb84-088b-42ba-aaa5-04e58037f975","resolution":{"observed_at":"2026-08-06T14:46:49.231948Z","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":"2026-08-06T14:46:49.236232Z","title":"Correia, M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.236232Z"},"links":{"citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:b6f85b2cb12f6f49f4e2b6b901124c8c7df6a8458bd7180684d60f82a53b994d","observation_id":"5cfcf725-e1d5-48cf-8e6d-6c637815f58a","resolution":{"observed_at":"2026-08-06T14:46:49.236232Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1711.09572","last_updated":"2018-02-27T07:48:35Z","snapshot_observed_at":"2026-08-06T03:23:16.719347Z","submitted_at":"2017-11-27T08:09:54Z","title":"A Systematic and Efficient Method to Compute Multi-loop Master Integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1711.09572","snapshot_observed_at":"2026-08-06T14:46:49.241046Z","title":"Liu, Y.-Q","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.241046Z"},"links":{"cited_paper":"/paper/1711.09572","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:068b3b63cb80af03fb2803c84dca43f4df543d2e12c81870dd2dfc4b0ce081d4","observation_id":"fd9484da-9c1e-4e11-b780-c6635b4dcb52","resolution":{"observed_at":"2026-08-06T14:46:49.241046Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1801.10523","last_updated":"2019-04-12T06:28:46Z","snapshot_observed_at":"2026-07-06T06:21:08.209564Z","submitted_at":"2018-01-31T16:15:13Z","title":"Determine Arbitrary Feynman Integrals by Vacuum Integrals","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1801.10523","snapshot_observed_at":"2026-08-06T14:46:49.245844Z","title":"Liu and Y.-Q","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.245844Z"},"links":{"cited_paper":"/paper/1801.10523","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:639c868e41029feb50b7c5f196c30981c81fac0546b7d56e42dc6c2a306ddd5d","observation_id":"4f01c277-58c8-4996-addc-2a6b8b18d470","resolution":{"observed_at":"2026-08-06T14:46:49.245844Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.01864","last_updated":"2022-03-15T11:57:40Z","snapshot_observed_at":"2026-08-07T00:53:41.728696Z","submitted_at":"2021-07-05T08:34:32Z","title":"Multiloop corrections for collider processes using auxiliary mass flow","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.01864","snapshot_observed_at":"2026-08-06T14:46:49.250479Z","title":"Liu and Y.-Q","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.250479Z"},"links":{"cited_paper":"/paper/2107.01864","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:6a3cef289bba719e6cc898378d38974d610a783bf756b22408b865511a42aa12","observation_id":"a36b3ace-aae5-4f83-ba3b-0324a2b34c14","resolution":{"observed_at":"2026-08-06T14:46:49.250479Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.11669","last_updated":"2022-10-27T12:29:10Z","snapshot_observed_at":"2026-08-03T16:31:05.674748Z","submitted_at":"2022-01-27T17:15:37Z","title":"AMFlow: a Mathematica package for Feynman integrals computation via Auxiliary Mass Flow","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.11669","snapshot_observed_at":"2026-08-06T14:46:49.255132Z","title":"Liu and Y.-Q","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.255132Z"},"links":{"cited_paper":"/paper/2201.11669","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:00119f815447f93274a06dd05d1c680b30de7e6bb110232eb61a5a5f7a314533","observation_id":"b9c53bb9-5511-446a-b79d-8473ad50f55c","resolution":{"observed_at":"2026-08-06T14:46:49.255132Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.11637","last_updated":"2022-11-03T14:12:38Z","snapshot_observed_at":"2026-08-04T08:52:54.718128Z","submitted_at":"2022-01-27T16:56:33Z","title":"Determining Feynman integrals with only input from linear algebra","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.11637","snapshot_observed_at":"2026-08-06T14:46:49.259251Z","title":"Liu and Y.-Q","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.259251Z"},"links":{"cited_paper":"/paper/2201.11637","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:44a53b68d6ce32b0da922793921ec66587e95795ac16ab75c8f3a64bdba18475","observation_id":"cf73d1c5-3c40-49f4-b04c-c64e0ec917c6","resolution":{"observed_at":"2026-08-06T14:46:49.259251Z","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":"2026-08-06T14:46:49.263193Z","title":"Lenstra, H.W","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.263193Z"},"links":{"citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:9b939743be2cb2af36f1a4df970d491d9dba47ac199b3bb37e7fcdbd17cac93f","observation_id":"a7d3b20d-766a-4f2b-bb65-83d80b6a4559","resolution":{"observed_at":"2026-08-06T14:46:49.263193Z","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":"2026-08-06T14:46:49.267076Z","title":"Ferguson and D","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.267076Z"},"links":{"citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:e25d5909f5330659be1ceaa497607e55561d0b51ad22d9f9273d8cee45c97e4c","observation_id":"6671578c-400a-4ecc-8056-eb237156b350","resolution":{"observed_at":"2026-08-06T14:46:49.267076Z","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":"2026-08-06T14:46:49.270993Z","title":"Ferguson, D.H","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.270993Z"},"links":{"citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:85a7e485e5a0de58311e5f6e7aa9164daa6cbddfbb71cb3898083b6d0fd1a4e0","observation_id":"015352c5-d2dc-46da-915e-869d128f70c0","resolution":{"observed_at":"2026-08-06T14:46:49.270993Z","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":"2026-08-06T14:46:49.275371Z","title":"Bailey and D.J","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.275371Z"},"links":{"citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:bccc2ed105c974bf4296b1db06dce74b264504524c52d80d8d005b7dbf7af74f","observation_id":"697b6c27-3754-48d5-a046-c289c09daa61","resolution":{"observed_at":"2026-08-06T14:46:49.275371Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0548","last_updated":"2008-07-03T17:56:39Z","snapshot_observed_at":"2026-07-06T01:41:38.661761Z","submitted_at":"2008-07-03T17:56:39Z","title":"High Precision Gauge Boson Pair Production at the LHC","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.0548","snapshot_observed_at":"2026-08-06T14:46:49.279365Z","title":"Chachamis,High Precision Gauge Boson Pair Production at the LHC, in16th International Workshop on Deep Inelastic Scattering and Related Subjects, p","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.279365Z"},"links":{"cited_paper":"/paper/0807.0548","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:c025b824b9197b899319dd89602c54d490b76edcd0bd2e02648f05a038234953","observation_id":"55885e3d-879c-45a1-b2a8-ec734149b7bf","resolution":{"observed_at":"2026-08-06T14:46:49.279365Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1001.2887","last_updated":"2010-03-12T10:37:44Z","snapshot_observed_at":"2026-07-06T02:02:41.083250Z","submitted_at":"2010-01-17T11:00:10Z","title":"Analytic Results for Massless Three-Loop Form Factors","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1001.2887","snapshot_observed_at":"2026-08-06T14:46:49.284006Z","title":"Lee, A.V","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.284006Z"},"links":{"cited_paper":"/paper/1001.2887","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:1db46dacfd5ab7718e3f3811a6e9d85b12cad58bfbd80ef1d7361826ceb0733b","observation_id":"06f10017-2e63-441b-a7f5-76998f0c4a96","resolution":{"observed_at":"2026-08-06T14:46:49.284006Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1105.3676","last_updated":"2011-06-20T20:47:05Z","snapshot_observed_at":"2026-07-06T02:27:57.095111Z","submitted_at":"2011-05-18T16:09:05Z","title":"The two-loop hemisphere soft function","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1105.3676","snapshot_observed_at":"2026-08-06T14:46:49.289208Z","title":"Kelley, M.D","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.289208Z"},"links":{"cited_paper":"/paper/1105.3676","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:0aede68e47f44603f6d87348c06a4f18f18d1702b64cda9cf21a1c3382f494be","observation_id":"7948605b-9c2f-4f5d-bc66-624016621b25","resolution":{"observed_at":"2026-08-06T14:46:49.289208Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1704.06996","last_updated":"2017-07-10T15:31:50Z","snapshot_observed_at":"2026-08-03T18:49:35.790583Z","submitted_at":"2017-04-23T22:56:46Z","title":"High-precision calculation of the 4-loop contribution to the electron g-2 in QED","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1704.06996","snapshot_observed_at":"2026-08-06T14:46:49.294501Z","title":"Laporta,High-precision calculation of the 4-loop contribution to the electron g-2 in QED, Phys","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.294501Z"},"links":{"cited_paper":"/paper/1704.06996","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:aa35ed02e949f0f9a9f117d20c82c29bf86bdb16d093ce642c4e3b41c458c6b9","observation_id":"4ef8055b-e014-4231-9e09-c928ea50f198","resolution":{"observed_at":"2026-08-06T14:46:49.294501Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1712.09610","last_updated":"2018-07-23T14:38:13Z","snapshot_observed_at":"2026-08-06T04:19:52.799454Z","submitted_at":"2017-12-27T16:17:29Z","title":"Bootstrapping pentagon functions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1712.09610","snapshot_observed_at":"2026-08-06T14:46:49.299121Z","title":"Chicherin, J","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.299121Z"},"links":{"cited_paper":"/paper/1712.09610","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:8637d8dfc5817f13bb4ff689fe589ed4e91dafb68d60218a662ee9d7beb3d1ac","observation_id":"3a95f559-4b0a-403f-8fae-bdc83966688b","resolution":{"observed_at":"2026-08-06T14:46:49.299121Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1805.00227","last_updated":"2018-06-04T12:18:52Z","snapshot_observed_at":"2026-07-06T06:36:39.540456Z","submitted_at":"2018-05-01T08:03:42Z","title":"Evaluating `elliptic' master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.00227","snapshot_observed_at":"2026-08-06T14:46:49.303768Z","title":"Lee, A.V","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.303768Z"},"links":{"cited_paper":"/paper/1805.00227","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:e3696f493ad9c351138290bfad621da1927bab9b245761424ca1137a9c4988a5","observation_id":"af083d90-2b66-4ebd-95ca-e6ae4dfeb3fe","resolution":{"observed_at":"2026-08-06T14:46:49.303768Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2103.06345","last_updated":"2021-03-10T21:17:24Z","snapshot_observed_at":"2026-07-06T10:48:46.085896Z","submitted_at":"2021-03-10T21:17:24Z","title":"Empirical determinations of Feynman integrals using integer relation algorithms","version":1},"cited_work":{"arxiv_id":"2103.06345","doi":null,"metadata_source":"pith","pith_arxiv_id":"2103.06345","snapshot_observed_at":"2026-08-06T14:46:50.612916Z","title":"Empirical determinations of Feynman integrals using integer relation algorithms","venue":"hep-ph","work_id":"539b6d9f-4726-4bba-988d-8741478e3c8c","year":2021},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.308116Z"},"links":{"cited_paper":"/paper/2103.06345","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:b0e51caaee05d7b7c4b71e370e8361acd93dc0170aa4c9e2a4d0688ae3c20389","observation_id":"0bffd537-39b5-49b5-8bb0-23b914d1fed5","resolution":{"observed_at":"2026-08-06T14:46:50.617857Z","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":"2102.09725","last_updated":"2021-02-19T03:50:00Z","snapshot_observed_at":"2026-08-04T09:17:30.184051Z","submitted_at":"2021-02-19T03:50:00Z","title":"Four-loop collinear anomalous dimensions in QCD and $\\mathcal{N} = 4$ super Yang-Mills","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.09725","snapshot_observed_at":"2026-08-06T14:46:49.312333Z","title":"Agarwal, A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.312333Z"},"links":{"cited_paper":"/paper/2102.09725","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:70a81382141f1cf895a28daac1cffc8f3f43214ae6a39cf3b8c211beeb92a9e9","observation_id":"938b7666-838a-4c5f-a7f1-39b3ac23274d","resolution":{"observed_at":"2026-08-06T14:46:49.312333Z","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":"2412.06972","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T14:46:50.583653Z","title":"Canko and M","venue":null,"work_id":"c55caf29-0ee3-43b6-a8df-e58354fbdc1b","year":2025},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.316553Z"},"links":{"citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:d3d993039a69f0e6f96f4672407b4028a65e3bdcde107e8b3b32f39f0595f19e","observation_id":"13431a9d-28aa-4402-8ffc-b6424ae7dbc5","resolution":{"observed_at":"2026-08-06T14:46:50.589408Z","resolver_source":"raw_fallback","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":"hep-ph/0004013","last_updated":"2001-07-17T18:52:14Z","snapshot_observed_at":"2026-07-07T03:48:07.546929Z","submitted_at":"2000-04-03T14:17:09Z","title":"An automatized algorithm to compute infrared divergent multi-loop integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0004013","snapshot_observed_at":"2026-08-06T14:46:49.321706Z","title":"Binoth and G","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.321706Z"},"links":{"cited_paper":"/paper/hep-ph/0004013","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:9449865af94d0c9ae74fe965d6bd3c58f9ac666cfc16cb6f9cb1c5790d7ed7af","observation_id":"6db73866-2121-4302-8c8f-16e265b3cb7c","resolution":{"observed_at":"2026-08-06T14:46:49.321706Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0305234","last_updated":"2003-05-21T17:51:32Z","snapshot_observed_at":"2026-07-07T04:00:00.444909Z","submitted_at":"2003-05-21T17:51:32Z","title":"Numerical evaluation of multi-loop integrals by sector decomposition","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0305234","snapshot_observed_at":"2026-08-06T14:46:49.325809Z","title":"Binoth and G","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.325809Z"},"links":{"cited_paper":"/paper/hep-ph/0305234","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:68159b21407e37b66feabd35a8517c8b9bf2e3468ced390a50bd9fad8a3470c0","observation_id":"3e31f6d7-e528-490d-abac-af7c650688b6","resolution":{"observed_at":"2026-08-06T14:46:49.325809Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0402265","last_updated":"2004-02-25T20:54:51Z","snapshot_observed_at":"2026-07-07T04:02:56.450035Z","submitted_at":"2004-02-25T20:54:51Z","title":"Numerical evaluation of phase space integrals by sector decomposition","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0402265","snapshot_observed_at":"2026-08-06T14:46:49.329784Z","title":"Binoth and G","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.329784Z"},"links":{"cited_paper":"/paper/hep-ph/0402265","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:b2af8c2113d87f72651deb76b15432c314facf0abd35d26ddfe60a82a03fc93a","observation_id":"c8da2e35-b654-4172-9047-18ed20a50565","resolution":{"observed_at":"2026-08-06T14:46:49.329784Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0803.4177","last_updated":"2008-05-16T08:44:10Z","snapshot_observed_at":"2026-07-31T15:43:55.266970Z","submitted_at":"2008-03-28T18:12:49Z","title":"Sector Decomposition","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0803.4177","snapshot_observed_at":"2026-08-06T14:46:49.334211Z","title":"Heinrich,Sector Decomposition, Int","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.334211Z"},"links":{"cited_paper":"/paper/0803.4177","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:dfa025df6a96d58d6cc6aa87fbe96a54b62e2643158e888b53037a0da23516b4","observation_id":"f452cfeb-b7dc-480b-80ee-ff345f974571","resolution":{"observed_at":"2026-08-06T14:46:49.334211Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.4129","last_updated":"2008-07-25T16:01:06Z","snapshot_observed_at":"2026-07-06T01:45:36.907045Z","submitted_at":"2008-07-25T16:01:06Z","title":"Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.4129","snapshot_observed_at":"2026-08-06T14:46:49.338170Z","title":"Smirnov and M.N","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.338170Z"},"links":{"cited_paper":"/paper/0807.4129","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:8daa7931013b84b88b84421f24d9caf94b2f3017d3962f2434b8bf2779080921","observation_id":"7db82a32-64a7-4540-a11c-7bb2c976638f","resolution":{"observed_at":"2026-08-06T14:46:49.338170Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0912.0158","last_updated":"2009-12-01T14:00:03Z","snapshot_observed_at":"2026-07-06T02:00:35.626202Z","submitted_at":"2009-12-01T14:00:03Z","title":"FIESTA 2: parallelizeable multiloop numerical calculations","version":1},"cited_work":{"arxiv_id":"0912.0158","doi":null,"metadata_source":"pith","pith_arxiv_id":"0912.0158","snapshot_observed_at":"2026-08-06T14:46:50.459710Z","title":"FIESTA 2: parallelizeable multiloop numerical calculations","venue":"hep-ph","work_id":"9f5cdd32-c929-4f3a-be48-91f5cd1f7cf0","year":2009},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.342169Z"},"links":{"cited_paper":"/paper/0912.0158","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:be98df0c161e5f4227b88287a722a832dcf65a085a4c1ae80903f56807ae77a8","observation_id":"5944f35c-8764-4713-9b51-7740ff9fbfbf","resolution":{"observed_at":"2026-08-06T14:46:50.463872Z","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":"1312.3186","last_updated":"2013-12-11T14:28:39Z","snapshot_observed_at":"2026-07-06T03:30:37.076367Z","submitted_at":"2013-12-11T14:28:39Z","title":"FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1312.3186","snapshot_observed_at":"2026-08-06T14:46:49.346496Z","title":"Smirnov,FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions, Comput","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.346496Z"},"links":{"cited_paper":"/paper/1312.3186","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:659db714c871944dc80518a43e6e3d3def4bf042cb2e78b695eaa047dceb8980","observation_id":"40d6e48e-5803-426b-833a-413f9b19c40f","resolution":{"observed_at":"2026-08-06T14:46:49.346496Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1511.03614","last_updated":"2015-10-23T16:07:56Z","snapshot_observed_at":"2026-07-06T04:36:10.443201Z","submitted_at":"2015-10-23T16:07:56Z","title":"FIESTA 4: optimized Feynman integral calculations with GPU support","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.03614","snapshot_observed_at":"2026-08-06T14:46:49.350516Z","title":"Smirnov,FIESTA4: Optimized Feynman integral calculations with GPU support, Comput","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.350516Z"},"links":{"cited_paper":"/paper/1511.03614","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:52550ab31d8289750f65f39acc71043f5db9c6dd8d1135e8832ff4d83cecad92","observation_id":"9e234a7c-0be4-4bc9-b64e-d6af5d5c1074","resolution":{"observed_at":"2026-08-06T14:46:49.350516Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2110.11660","last_updated":"2021-10-22T08:38:12Z","snapshot_observed_at":"2026-08-06T05:56:19.617003Z","submitted_at":"2021-10-22T08:38:12Z","title":"FIESTA5: numerical high-performance Feynman integral evaluation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.11660","snapshot_observed_at":"2026-08-06T14:46:49.354323Z","title":"Smirnov, N.D","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.354323Z"},"links":{"cited_paper":"/paper/2110.11660","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:1be3ed35aaf5d6fd38eee18720767e26b6e25363b4fbb962dc223b220d036c64","observation_id":"bbe2d875-b091-41b3-99fa-6c3b61f34f9e","resolution":{"observed_at":"2026-08-06T14:46:49.354323Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1204.4152","last_updated":"2013-05-29T09:36:06Z","snapshot_observed_at":"2026-08-05T16:59:12.258946Z","submitted_at":"2012-04-18T18:04:37Z","title":"Numerical evaluation of multi-loop integrals for arbitrary kinematics with SecDec 2.0","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1204.4152","snapshot_observed_at":"2026-08-06T14:46:49.358288Z","title":"Borowka, J","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.358288Z"},"links":{"cited_paper":"/paper/1204.4152","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:45120289a50b46c4b5e12be16ae9d67444599c39407a91d79e0dd8a76925ad0f","observation_id":"1841f112-5166-4935-bacf-aed22cbe9b75","resolution":{"observed_at":"2026-08-06T14:46:49.358288Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1502.06595","last_updated":"2015-09-21T17:24:00Z","snapshot_observed_at":"2026-07-06T04:10:04.095779Z","submitted_at":"2015-02-23T20:53:26Z","title":"SecDec-3.0: numerical evaluation of multi-scale integrals beyond one loop","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1502.06595","snapshot_observed_at":"2026-08-06T14:46:49.362315Z","title":"Borowka, G","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.362315Z"},"links":{"cited_paper":"/paper/1502.06595","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:863476c97c4a63374aad1de2db480bd675525207c33d5ccfccaf7e4cd6263386","observation_id":"e5e7563a-87c4-48d1-9424-db6a2c3095ed","resolution":{"observed_at":"2026-08-06T14:46:49.362315Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1703.09692","last_updated":"2017-11-26T09:50:18Z","snapshot_observed_at":"2026-08-05T15:02:05.108580Z","submitted_at":"2017-03-28T17:56:15Z","title":"pySecDec: a toolbox for the numerical evaluation of multi-scale integrals","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.09692","snapshot_observed_at":"2026-08-06T14:46:49.366513Z","title":"Borowka, G","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.366513Z"},"links":{"cited_paper":"/paper/1703.09692","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:35b4e3e811e0c2acb6e1d313f1aa546b3e1b3ea5dcbe6edc727cc911e9806970","observation_id":"52864e5b-f656-4c6b-89b1-89026bc1bd01","resolution":{"observed_at":"2026-08-06T14:46:49.366513Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1811.11720","last_updated":"2019-06-25T17:40:08Z","snapshot_observed_at":"2026-07-06T07:17:41.605824Z","submitted_at":"2018-11-28T18:17:44Z","title":"A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1811.11720","snapshot_observed_at":"2026-08-06T14:46:49.371328Z","title":"Borowka, G","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.371328Z"},"links":{"cited_paper":"/paper/1811.11720","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:1a8395b2b62bfc1d3c77d5e96ee7e60ecc4e9aea0f89b56905dfae580f50516a","observation_id":"0d4702af-8b0a-4d66-a632-cc6993edf548","resolution":{"observed_at":"2026-08-06T14:46:49.371328Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2108.10807","last_updated":"2022-01-26T17:40:22Z","snapshot_observed_at":"2026-08-07T06:04:09.303429Z","submitted_at":"2021-08-24T15:50:01Z","title":"Expansion by regions with pySecDec","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.10807","snapshot_observed_at":"2026-08-06T14:46:49.375621Z","title":"Heinrich, S","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.375621Z"},"links":{"cited_paper":"/paper/2108.10807","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:9017b212bdef716503d6d225268469819f881d338ed633f7983c025dd8dc5808","observation_id":"d136fcf9-3625-41a2-9495-55179085d16a","resolution":{"observed_at":"2026-08-06T14:46:49.375621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.19768","last_updated":"2023-12-21T17:19:29Z","snapshot_observed_at":"2026-08-04T13:03:15.344869Z","submitted_at":"2023-05-31T11:58:35Z","title":"Numerical Scattering Amplitudes with pySecDec","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.19768","snapshot_observed_at":"2026-08-06T14:46:49.380265Z","title":"Heinrich, S.P","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.380265Z"},"links":{"cited_paper":"/paper/2305.19768","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:3d4a997ff79a9eed59f075cf2de751c64db0e94da21b96550542790022c91e22","observation_id":"d7bf717c-4cc2-4728-90db-a20ab7daa098","resolution":{"observed_at":"2026-08-06T14:46:49.380265Z","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":"2026-08-06T14:46:49.384496Z","title":"Tkachov,A theorem on analytical calculability of 4-loop renormalization group functions, Phys","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.384496Z"},"links":{"citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:9a7915230bc4c19f9e97857b616f598170dc82a53efeb07558f911b374de3a0c","observation_id":"6e71aeab-8492-4ea0-a4ef-368c76cac6c9","resolution":{"observed_at":"2026-08-06T14:46:49.384496Z","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":"2026-08-06T14:46:49.389031Z","title":"Chetyrkin and F.V","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.389031Z"},"links":{"citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:fa39bdb469a47d275a73dee14991b6dce04919754b077e7362fd0dd03c383691","observation_id":"e1269d0a-ed6f-49c3-9b31-dcff1c462f60","resolution":{"observed_at":"2026-08-06T14:46:49.389031Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1212.2685","last_updated":"2012-12-12T01:41:19Z","snapshot_observed_at":"2026-07-06T03:01:49.361945Z","submitted_at":"2012-12-12T01:41:19Z","title":"Presenting LiteRed: a tool for the Loop InTEgrals REDuction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1212.2685","snapshot_observed_at":"2026-08-06T14:46:49.393135Z","title":"Lee,Presenting LiteRed: a tool for the Loop InTEgrals REDuction, 1212.2685","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.393135Z"},"links":{"cited_paper":"/paper/1212.2685","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:5795e906ba77b30d28bb7d6c7431a50574d85e3420122893d0b8a471617f6bfb","observation_id":"dda6eb64-4625-4dbc-9e3f-b4e4bf141a76","resolution":{"observed_at":"2026-08-06T14:46:49.393135Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1310.1145","last_updated":"2013-10-04T01:43:34Z","snapshot_observed_at":"2026-08-03T05:12:51.116171Z","submitted_at":"2013-10-04T01:43:34Z","title":"LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1310.1145","snapshot_observed_at":"2026-08-06T14:46:49.397874Z","title":"Lee,LiteRed 1.4: a powerful tool for reduction of multiloop integrals, J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.397874Z"},"links":{"cited_paper":"/paper/1310.1145","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:d8e38eedf0551dc3b070d6dcbc790f329acf71f87fd13da0fa948c8cce0209f8","observation_id":"d35c3fff-6bf1-4622-ab63-c5ca9744c1e2","resolution":{"observed_at":"2026-08-06T14:46:49.397874Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.3243","last_updated":"2008-08-02T16:12:01Z","snapshot_observed_at":"2026-07-06T01:39:43.631942Z","submitted_at":"2008-07-21T12:04:18Z","title":"Algorithm FIRE -- Feynman Integral REduction","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.3243","snapshot_observed_at":"2026-08-06T14:46:49.401878Z","title":"Smirnov,Algorithm FIRE – Feynman Integral REduction, JHEP 10 (2008) 107 [0807.3243]","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.401878Z"},"links":{"cited_paper":"/paper/0807.3243","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:0d01062025205af71369137f83f1f76b577793d15506da2993bd2b1c696544a5","observation_id":"395e0705-6760-42ea-8789-2e74e65ebac6","resolution":{"observed_at":"2026-08-06T14:46:49.401878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1408.2372","last_updated":"2014-09-01T06:13:51Z","snapshot_observed_at":"2026-08-07T05:59:44.520546Z","submitted_at":"2014-08-11T11:00:35Z","title":"FIRE5: a C++ implementation of Feynman Integral REduction","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1408.2372","snapshot_observed_at":"2026-08-06T14:46:49.406037Z","title":"Smirnov,FIRE5: A C++ implementation of Feynman Integral REduction, Comput","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.406037Z"},"links":{"cited_paper":"/paper/1408.2372","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:27046aa1d25d143f40f6d42a783962adf3d7609947ff232d43401b58d92e57b3","observation_id":"be99f4c3-1492-4555-8b86-4e664faee3c7","resolution":{"observed_at":"2026-08-06T14:46:49.406037Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1901.07808","last_updated":"2019-02-10T16:44:50Z","snapshot_observed_at":"2026-08-06T05:59:12.232587Z","submitted_at":"2019-01-23T10:41:16Z","title":"FIRE6: Feynman Integral REduction with Modular Arithmetic","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1901.07808","snapshot_observed_at":"2026-08-06T14:46:49.409900Z","title":"Smirnov and F.S","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.409900Z"},"links":{"cited_paper":"/paper/1901.07808","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:b94fbb50a755f75b2165962d2709042994660b5d07a6e216b49ab849cf64e353","observation_id":"62417099-bc8d-4604-aab3-7a79043be23a","resolution":{"observed_at":"2026-08-06T14:46:49.409900Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.02370","last_updated":"2023-11-04T10:49:10Z","snapshot_observed_at":"2026-07-06T16:43:01.114005Z","submitted_at":"2023-11-04T10:49:10Z","title":"FIRE 6.5: Feynman Integral Reduction with New Simplification Library","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.02370","snapshot_observed_at":"2026-08-06T14:46:49.414338Z","title":"Smirnov and M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.414338Z"},"links":{"cited_paper":"/paper/2311.02370","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:9a5e49ddc5ae5d3ac6ab3c6671857164151403b59549a13f74c6a1307c1040ba","observation_id":"ed241a1b-4797-4350-b6a4-2f13b94f219a","resolution":{"observed_at":"2026-08-06T14:46:49.414338Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1705.05610","last_updated":"2018-04-26T13:54:46Z","snapshot_observed_at":"2026-07-06T05:42:48.879600Z","submitted_at":"2017-05-16T09:31:16Z","title":"Kira - A Feynman Integral Reduction Program","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1705.05610","snapshot_observed_at":"2026-08-06T14:46:49.418224Z","title":"Maierhöfer, J","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.418224Z"},"links":{"cited_paper":"/paper/1705.05610","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:a57e051482273792d915557d8d3bd3010de7c2d9c65b5724f2c285c344b15781","observation_id":"5233179f-35a6-4aea-8d34-c7c6f38e8ba3","resolution":{"observed_at":"2026-08-06T14:46:49.418224Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.06494","last_updated":"2023-02-22T22:51:09Z","snapshot_observed_at":"2026-08-06T05:51:55.169374Z","submitted_at":"2020-08-14T17:58:33Z","title":"Integral Reduction with Kira 2.0 and Finite Field Methods","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.06494","snapshot_observed_at":"2026-08-06T14:46:49.422109Z","title":"Klappert, F","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.422109Z"},"links":{"cited_paper":"/paper/2008.06494","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:02e9df7a10b701d7b87bd96560013f72b3d6077ff74bf3d34d5c98a6c88825eb","observation_id":"1e928835-2a62-4bc7-bd56-8cb07ab67877","resolution":{"observed_at":"2026-08-06T14:46:49.422109Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.20197","last_updated":"2025-05-26T16:39:58Z","snapshot_observed_at":"2026-08-06T16:44:00.312242Z","submitted_at":"2025-05-26T16:39:58Z","title":"Kira 3: integral reduction with efficient seeding and optimized equation selection","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.20197","snapshot_observed_at":"2026-08-06T14:46:49.425816Z","title":"Lange, J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.425816Z"},"links":{"cited_paper":"/paper/2505.20197","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:6200221d7e3a54a1c6821fa0ac9017987af080d329e26c69151b6560ba846aee","observation_id":"77abae4f-10c2-49e5-baab-f7851a69783f","resolution":{"observed_at":"2026-08-06T14:46:49.425816Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1912.09294","last_updated":"2020-09-10T06:42:55Z","snapshot_observed_at":"2026-07-31T17:20:57.667067Z","submitted_at":"2019-12-19T15:30:31Z","title":"Complete reduction of integrals in two-loop five-light-parton scattering amplitudes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.09294","snapshot_observed_at":"2026-08-06T14:46:49.429930Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.429930Z"},"links":{"cited_paper":"/paper/1912.09294","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:dc019722bcf37cd3d0f891ea475a8ef69d424ad939bdf0f6016ecda61740527f","observation_id":"97a8c29f-6002-4c8e-b779-875fef5e73c5","resolution":{"observed_at":"2026-08-06T14:46:49.429930Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.14621","last_updated":"2025-02-06T02:04:35Z","snapshot_observed_at":"2026-08-03T00:40:10.812718Z","submitted_at":"2024-05-23T14:29:31Z","title":"Blade: A package for block-triangular form improved Feynman integrals decomposition","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.14621","snapshot_observed_at":"2026-08-06T14:46:49.433780Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.433780Z"},"links":{"cited_paper":"/paper/2405.14621","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:4fb822f6f427df1c89244f10933b704aaa34c64ccb3b6f7dc77fa44438a73d87","observation_id":"d6c70dff-e614-490c-8bd3-28a44a643781","resolution":{"observed_at":"2026-08-06T14:46:49.433780Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.06426","last_updated":"2025-04-11T13:00:53Z","snapshot_observed_at":"2026-07-06T18:59:51.988540Z","submitted_at":"2024-08-12T18:07:28Z","title":"Semi-automatic Calculations of Multi-loop Feynman Amplitudes with AmpRed","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.06426","snapshot_observed_at":"2026-08-06T14:46:49.437759Z","title":"Chen,Semi-automatic calculations of multi-loop Feynman amplitudes with AmpRed, Comput","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.437759Z"},"links":{"cited_paper":"/paper/2408.06426","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:9558cc530dac79060f28011724c5128ddbb4ba92ee9706830624832a34bd8987","observation_id":"f2599f1c-9f7b-46bc-a827-d6238bc05272","resolution":{"observed_at":"2026-08-06T14:46:49.437759Z","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":"2026-08-06T14:46:49.441513Z","title":"Kotikov,Differential equations method: New technique for massive Feynman diagrams calculation, Phys","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.441513Z"},"links":{"citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:ef6d5837a1df7a1180a0c8292648e9e0b5f41ed8049d01895ab6d69fb0cc24fe","observation_id":"38188f05-cc12-4697-bf7c-61a0c9de1a02","resolution":{"observed_at":"2026-08-06T14:46:49.441513Z","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":"2026-08-06T14:46:49.445357Z","title":"Kotikov,Differential equation method: The Calculation of N point Feynman diagrams, Phys","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.445357Z"},"links":{"citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:dceda3681a76b74fdd83dd1c6932776275c7672f478f15222dd2fa781443f6d9","observation_id":"8c5057b2-e88c-4875-8f0d-2dcf2856e139","resolution":{"observed_at":"2026-08-06T14:46:49.445357Z","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":"2026-08-06T14:46:49.448886Z","title":"Bern, L.J","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.448886Z"},"links":{"cited_paper":"/paper/hep-ph/9306240","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:9688df81469c9362efc7fa8ef17f42bec638a6637d456518f8341958eb9abdd2","observation_id":"5e76de7d-e4db-4c1f-aded-d8e51872a1cb","resolution":{"observed_at":"2026-08-06T14:46:49.448886Z","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":"2026-08-06T14:46:49.452619Z","title":"Remiddi,Differential equations for Feynman graph amplitudes, Nuovo Cim","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.452619Z"},"links":{"cited_paper":"/paper/hep-th/9711188","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:3eea9eb8db93c3e38a979fc9e132a60cb37c1dba8cc9c8e22dc4c036457a7a0c","observation_id":"c33d4083-f4e8-4b98-abbe-55bbba624a47","resolution":{"observed_at":"2026-08-06T14:46:49.452619Z","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":"2026-08-06T14:46:49.456549Z","title":"Henn,Multiloop integrals in dimensional regularization made simple, Phys","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.456549Z"},"links":{"cited_paper":"/paper/1304.1806","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:8686e4dc34d46a51f0254c1cce169380c956340ffb74be4c52c28aca88d013df","observation_id":"820128a6-52de-4d72-b23b-42cf4353574a","resolution":{"observed_at":"2026-08-06T14:46:49.456549Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1105.2076","last_updated":"2011-05-10T23:59:56Z","snapshot_observed_at":"2026-07-31T02:20:36.972172Z","submitted_at":"2011-05-10T23:59:56Z","title":"Multiple polylogarithms, cyclotomy and modular complexes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1105.2076","snapshot_observed_at":"2026-08-06T14:46:49.460664Z","title":"Goncharov,Multiple polylogarithms, cyclotomy and modular complexes, Math","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.460664Z"},"links":{"cited_paper":"/paper/1105.2076","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:b789a4f562062a982bcb3cdd8329c44bc69b6ba8840a14c5400c4c071913fbcd","observation_id":"411df5bd-7a4b-482f-87b2-a0f300ac0c07","resolution":{"observed_at":"2026-08-06T14:46:49.460664Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0103059","last_updated":"2001-05-15T20:33:46Z","snapshot_observed_at":"2026-07-07T05:25:44.250533Z","submitted_at":"2001-03-08T15:50:51Z","title":"Multiple polylogarithms and mixed Tate motives","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0103059","snapshot_observed_at":"2026-08-06T14:46:49.464386Z","title":"Goncharov,Multiple polylogarithms and mixed Tate motives, math/0103059","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.464386Z"},"links":{"cited_paper":"/paper/math/0103059","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:4adf9fcd751094c6a571bcea57e6ff6801bec2a87be46890267f58889277e09e","observation_id":"c7248f19-2a97-4f67-8d60-79ff9138fa96","resolution":{"observed_at":"2026-08-06T14:46:49.464386Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1006.5703","last_updated":"2010-10-07T18:04:24Z","snapshot_observed_at":"2026-07-06T02:12:17.652140Z","submitted_at":"2010-06-29T19:03:36Z","title":"Classical Polylogarithms for Amplitudes and Wilson Loops","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1006.5703","snapshot_observed_at":"2026-08-06T14:46:49.468389Z","title":"Goncharov, M","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.468389Z"},"links":{"cited_paper":"/paper/1006.5703","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:afe5563f3df3c45c18c6327eeb6c4e6da82d0f6ef7955e429a8fe52d6f8e460b","observation_id":"b0883ad5-b263-4099-896a-2527fe5dc8bd","resolution":{"observed_at":"2026-08-06T14:46:49.468389Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1110.0458","last_updated":"2011-10-03T19:54:07Z","snapshot_observed_at":"2026-08-05T04:23:25.078670Z","submitted_at":"2011-10-03T19:54:07Z","title":"From polygons and symbols to polylogarithmic functions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1110.0458","snapshot_observed_at":"2026-08-06T14:46:49.472445Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.472445Z"},"links":{"cited_paper":"/paper/1110.0458","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:8f79b7a76e4b80c5b615f45157c6fbf4886444ee1ab6100b18f3882ee4fb6103","observation_id":"e021c377-d4a0-4f6a-b945-4227c5385621","resolution":{"observed_at":"2026-08-06T14:46:49.472445Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1203.0454","last_updated":"2012-03-02T13:31:22Z","snapshot_observed_at":"2026-08-05T10:31:04.623567Z","submitted_at":"2012-03-02T13:31:22Z","title":"Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1203.0454","snapshot_observed_at":"2026-08-06T14:46:49.476544Z","title":"Duhr,Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes, JHEP 08 (2012) 043 [1203.0454]","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.476544Z"},"links":{"cited_paper":"/paper/1203.0454","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:9e6c3ce3ead505e88f1a786017726588c6368edd4c8a7e3c1d4d33cd8a2ac62e","observation_id":"a42f6ae6-791c-422c-bbe2-ffcf94166a6c","resolution":{"observed_at":"2026-08-06T14:46:49.476544Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1612.08976","last_updated":"2017-02-28T18:45:57Z","snapshot_observed_at":"2026-07-06T05:24:22.256948Z","submitted_at":"2016-12-28T20:21:02Z","title":"Heptagons from the Steinmann Cluster Bootstrap","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1612.08976","snapshot_observed_at":"2026-08-06T14:46:49.480364Z","title":"Dixon, J","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.480364Z"},"links":{"cited_paper":"/paper/1612.08976","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:41bc94f02df9d8d402cdef7360a7215cc4bb0e4c44dbd43cc20a493d40bdc776","observation_id":"038ffdfb-7e09-489d-9122-b1e80798204b","resolution":{"observed_at":"2026-08-06T14:46:49.480364Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1609.00669","last_updated":"2016-11-28T23:28:52Z","snapshot_observed_at":"2026-07-06T05:09:06.521609Z","submitted_at":"2016-09-02T17:19:09Z","title":"Bootstrapping a Five-Loop Amplitude Using Steinmann Relations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1609.00669","snapshot_observed_at":"2026-08-06T14:46:49.484308Z","title":"Caron-Huot, L.J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.484308Z"},"links":{"cited_paper":"/paper/1609.00669","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:19182b9aa175cfc2c88ba5c3ecd2506f575a39072bf77664f9ff8170194f446c","observation_id":"970c28a8-a784-4119-afce-8a1e9c70b34b","resolution":{"observed_at":"2026-08-06T14:46:49.484308Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1903.10890","last_updated":"2019-07-26T13:09:44Z","snapshot_observed_at":"2026-08-06T07:10:38.778593Z","submitted_at":"2019-03-26T13:42:57Z","title":"Six-Gluon Amplitudes in Planar ${\\cal N}=4$ Super-Yang-Mills Theory at Six and Seven Loops","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1903.10890","snapshot_observed_at":"2026-08-06T14:46:49.488618Z","title":"Caron-Huot, L.J","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.488618Z"},"links":{"cited_paper":"/paper/1903.10890","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:ca3cdaa93b6e4ec6c2ca5ebb4b6c6ede13753554b4a6b69ea7a4401c85e67256","observation_id":"fffebb5d-b3f2-4899-8aa1-37b930ba73b2","resolution":{"observed_at":"2026-08-06T14:46:49.488618Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.12286","last_updated":"2021-04-12T12:12:17Z","snapshot_observed_at":"2026-07-06T10:27:04.232722Z","submitted_at":"2020-12-22T19:00:13Z","title":"A Three-Point Form Factor Through Five Loops","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.12286","snapshot_observed_at":"2026-08-06T14:46:49.493060Z","title":"Dixon, A.J","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.493060Z"},"links":{"cited_paper":"/paper/2012.12286","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:9a18b7b4b79e923cbb521312e8d31e1f3b751d8dad40ddbdad4f848ca80bac21","observation_id":"ab33b451-5257-4c6b-8471-f8af420e385b","resolution":{"observed_at":"2026-08-06T14:46:49.493060Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.11901","last_updated":"2023-03-19T14:46:27Z","snapshot_observed_at":"2026-07-31T01:49:50.530027Z","submitted_at":"2022-04-25T18:06:17Z","title":"Bootstrapping a Stress-Tensor Form Factor through Eight Loops","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.11901","snapshot_observed_at":"2026-08-06T14:46:49.498338Z","title":"Dixon, O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.498338Z"},"links":{"cited_paper":"/paper/2204.11901","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:ecef2f634c536637eff1dfee26f40e131cd02178d7cdf3747e17eb3bad29d551","observation_id":"87bff724-50f5-4ec7-9a73-539698a3da88","resolution":{"observed_at":"2026-08-06T14:46:49.498338Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.22402","last_updated":"2024-10-29T18:00:01Z","snapshot_observed_at":"2026-07-06T19:41:46.397542Z","submitted_at":"2024-10-29T18:00:01Z","title":"The Three-Point Form Factor of $\\textrm{Tr}\\,\\phi^3$ to Six Loops","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.22402","snapshot_observed_at":"2026-08-06T14:46:49.502731Z","title":"Basso, L.J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.502731Z"},"links":{"cited_paper":"/paper/2410.22402","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:301de13740d2e4e15643f9eb23648818c5fa042aeede19fbae109f7384bc446e","observation_id":"c46c3c43-075e-4f7b-b20d-45d320ad1c56","resolution":{"observed_at":"2026-08-06T14:46:49.502731Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.06107","last_updated":"2024-09-19T09:31:38Z","snapshot_observed_at":"2026-07-06T18:12:22.193554Z","submitted_at":"2024-05-09T21:28:52Z","title":"Transforming the Bootstrap: Using Transformers to Compute Scattering Amplitudes in Planar N = 4 Super Yang-Mills Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.06107","snapshot_observed_at":"2026-08-06T14:46:49.507378Z","title":"Cai, G.W","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.507378Z"},"links":{"cited_paper":"/paper/2405.06107","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:d65c1b42d9fd2e62ecb107fca6ef088140f88406cc92f90d985bb91071056a71","observation_id":"5a5aa15c-ab7a-494d-beb1-72b30e6fbab0","resolution":{"observed_at":"2026-08-06T14:46:49.507378Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.05743","last_updated":"2025-04-15T18:49:44Z","snapshot_observed_at":"2026-07-06T20:19:07.706492Z","submitted_at":"2025-01-10T06:19:48Z","title":"Recurrent Features of Amplitudes in Planar $\\mathcal{N}=4$ Super Yang-Mills Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.05743","snapshot_observed_at":"2026-08-06T14:46:49.511696Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.511696Z"},"links":{"cited_paper":"/paper/2501.05743","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:4de8ed5f6be93d136d9d31d39713a4cb36113de6dde8472d46d835ac7e7e5649","observation_id":"35cb2b7d-383e-4995-954f-89f4d41296ed","resolution":{"observed_at":"2026-08-06T14:46:49.511696Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2106.01374","last_updated":"2021-10-12T07:53:32Z","snapshot_observed_at":"2026-08-04T06:33:12.367018Z","submitted_at":"2021-06-02T18:00:00Z","title":"Bootstrapping a Two-Loop Four-Point Form Factor","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.01374","snapshot_observed_at":"2026-08-06T14:46:49.516006Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.516006Z"},"links":{"cited_paper":"/paper/2106.01374","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:c76291c14df06d12b615888003fc6f0fddd4febac1a662726ed124aefc750feb","observation_id":"a2cf724f-fd46-458d-b6a0-f583adab4711","resolution":{"observed_at":"2026-08-06T14:46:49.516006Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.01361","last_updated":"2018-07-26T15:34:24Z","snapshot_observed_at":"2026-07-06T06:42:57.001696Z","submitted_at":"2018-06-04T20:06:35Z","title":"The Double Pentaladder Integral to All Orders","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.01361","snapshot_observed_at":"2026-08-06T14:46:49.520004Z","title":"Caron-Huot, L.J","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.520004Z"},"links":{"cited_paper":"/paper/1806.01361","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:8008f233fd589bef1cc508f28d8492d27e987b2b2b221c4acb50fdb4f2fa697e","observation_id":"072c022b-c048-4516-8068-b4a64facef10","resolution":{"observed_at":"2026-08-06T14:46:49.520004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.06072","last_updated":"2018-06-15T18:00:05Z","snapshot_observed_at":"2026-07-06T06:45:05.493758Z","submitted_at":"2018-06-15T18:00:05Z","title":"Bootstrapping two-loop Feynman integrals for planar N=4 sYM","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.06072","snapshot_observed_at":"2026-08-06T14:46:49.523925Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.523925Z"},"links":{"cited_paper":"/paper/1806.06072","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:940b89eb5662739749525ed802c4fcf6df53a889211d2d03184cd7ebec4ec397","observation_id":"6253295f-374b-4cb1-98a7-e7748e39bb30","resolution":{"observed_at":"2026-08-06T14:46:49.523925Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2106.03709","last_updated":"2021-09-15T10:00:40Z","snapshot_observed_at":"2026-08-03T21:24:45.808965Z","submitted_at":"2021-06-07T15:20:21Z","title":"Bootstrapping octagons in reduced kinematics from $A_2$ cluster algebras","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.03709","snapshot_observed_at":"2026-08-06T14:46:49.527887Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.527887Z"},"links":{"cited_paper":"/paper/2106.03709","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:2e3624431acfe38bd7c2aa51ff08a2e7cfc403f00e0e4fd03f99afc6c0d27ef0","observation_id":"62f1604b-3e22-40e7-b983-eb060c626497","resolution":{"observed_at":"2026-08-06T14:46:49.527887Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.11842","last_updated":"2026-04-15T17:44:31Z","snapshot_observed_at":"2026-07-06T12:21:28.059661Z","submitted_at":"2021-12-22T12:42:45Z","title":"Kinematics, cluster algebras and Feynman integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.11842","snapshot_observed_at":"2026-08-06T14:46:49.532100Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.532100Z"},"links":{"cited_paper":"/paper/2112.11842","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:b3b47f20fe15564a7d15366427f59a20f94c164225fb686e58d9f05209f210be","observation_id":"4215f3c7-63f2-4843-bcce-f18aaf4ea759","resolution":{"observed_at":"2026-08-06T14:46:49.532100Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.09762","last_updated":"2022-12-19T19:00:01Z","snapshot_observed_at":"2026-08-04T20:13:04.097464Z","submitted_at":"2022-12-19T19:00:01Z","title":"Bootstrapping elliptic Feynman integrals using Schubert analysis","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.09762","snapshot_observed_at":"2026-08-06T14:46:49.536170Z","title":"Morales, A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.536170Z"},"links":{"cited_paper":"/paper/2212.09762","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:32cd51de09f6cec17c1db95fea406e85d87112c869f4a6d186af7a244f8fdc4d","observation_id":"c73c3226-977a-471a-b43f-ef8ca5c251dd","resolution":{"observed_at":"2026-08-06T14:46:49.536170Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1507.06310","last_updated":"2015-08-26T20:44:50Z","snapshot_observed_at":"2026-08-03T13:53:39.624702Z","submitted_at":"2015-07-22T20:00:36Z","title":"Two-loop Integral Reduction from Elliptic and Hyperelliptic Curves","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1507.06310","snapshot_observed_at":"2026-08-06T14:46:49.540171Z","title":"Georgoudis and Y","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.540171Z"},"links":{"cited_paper":"/paper/1507.06310","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:fc4ac8db7398135c0a2a2da30c663cc75cd4efdbb602521bfddf6679d5eeb584","observation_id":"9618fe11-5616-47a6-bbfa-0d4c7fda279a","resolution":{"observed_at":"2026-08-06T14:46:49.540171Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1805.09326","last_updated":"2018-08-09T16:10:40Z","snapshot_observed_at":"2026-08-01T23:13:44.001806Z","submitted_at":"2018-05-23T18:00:00Z","title":"Traintracks Through Calabi-Yaus: Amplitudes Beyond Elliptic Polylogarithms","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.09326","snapshot_observed_at":"2026-08-06T14:46:49.544484Z","title":"Bourjaily, Y.-H","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.544484Z"},"links":{"cited_paper":"/paper/1805.09326","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:d49b5305671ac8acf0b246042d71302a2074eefb61a990e278c0712e55eff59f","observation_id":"1373771d-4c27-4932-8848-9d1999869da7","resolution":{"observed_at":"2026-08-06T14:46:49.544484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.09550","last_updated":"2022-12-19T15:42:34Z","snapshot_observed_at":"2026-08-06T04:50:55.813227Z","submitted_at":"2022-12-19T15:42:34Z","title":"The ice cone family and iterated integrals for Calabi-Yau varieties","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.09550","snapshot_observed_at":"2026-08-06T14:46:49.548503Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.548503Z"},"links":{"cited_paper":"/paper/2212.09550","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:0488bcae21c5dd2c4bc1914b8aed600ec98280f523caf2fbf341d271ce8b8a91","observation_id":"7776da71-fdcc-4b6a-8a71-798ecefeaf05","resolution":{"observed_at":"2026-08-06T14:46:49.548503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.16219","last_updated":"2024-06-21T18:45:25Z","snapshot_observed_at":"2026-07-06T16:53:22.999597Z","submitted_at":"2023-11-27T19:00:00Z","title":"Principal Landau Determinants","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.16219","snapshot_observed_at":"2026-08-06T14:46:49.552434Z","title":"Fevola, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.552434Z"},"links":{"cited_paper":"/paper/2311.16219","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:69d193fcfbbb9f69370e64ecaab7d1891f1918c737dbe233fef8c3594c2fd3e2","observation_id":"9975c2e1-2ba1-4b9c-99a4-1bab1d8ab468","resolution":{"observed_at":"2026-08-06T14:46:49.552434Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1904.07279","last_updated":"2019-04-15T18:27:53Z","snapshot_observed_at":"2026-07-06T07:46:14.077705Z","submitted_at":"2019-04-15T18:27:53Z","title":"PolyLogTools - Polylogs for the masses","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.07279","snapshot_observed_at":"2026-08-06T14:46:49.556278Z","title":"Duhr and F","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.556278Z"},"links":{"cited_paper":"/paper/1904.07279","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:1288dd44f7428cddf134d9dc905a95565b8e733aa93c1177bd3e37b5ef7265fc","observation_id":"8389d71d-33aa-4307-bf39-6f0810210519","resolution":{"observed_at":"2026-08-06T14:46:49.556278Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1302.4379","last_updated":"2013-02-18T18:20:04Z","snapshot_observed_at":"2026-07-06T03:06:41.808398Z","submitted_at":"2013-02-18T18:20:04Z","title":"Soft triple-real radiation for Higgs production at N3LO","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1302.4379","snapshot_observed_at":"2026-08-06T14:46:49.560337Z","title":"Anastasiou, C","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.560337Z"},"links":{"cited_paper":"/paper/1302.4379","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:c0307f65759dc07cb5ea7fe37b008c308300d16f132ccf4980b92e1b50106f53","observation_id":"394db8a1-8788-4fcb-9063-5e88e59d7a22","resolution":{"observed_at":"2026-08-06T14:46:49.560337Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.04122","last_updated":"2021-12-08T05:30:20Z","snapshot_observed_at":"2026-08-04T12:08:29.796885Z","submitted_at":"2021-12-08T05:30:20Z","title":"FastGPL: a C++ library for fast evaluation of generalized polylogarithms","version":1},"cited_work":{"arxiv_id":"2112.04122","doi":null,"metadata_source":"pith","pith_arxiv_id":"2112.04122","snapshot_observed_at":"2026-08-06T14:46:49.897738Z","title":"FastGPL: a C++ library for fast evaluation of generalized polylogarithms","venue":"hep-ph","work_id":"c9339b11-b713-4062-a626-ce975b50ca4d","year":2021},"citing_paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-06T14:46:49.564206Z"},"links":{"cited_paper":"/paper/2112.04122","citing_paper":"/paper/2507.17815"},"observation_digest":"sha256:5d5caa5eef97244e94e8f6a26c8ac9073437973de8558f36fc64f736b0995f8c","observation_id":"36b8947c-f50e-4d02-9ab2-57ea6cee76e9","resolution":{"observed_at":"2026-08-06T14:46:49.903115Z","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"}}],"paper":{"arxiv_id":"2507.17815","last_updated":"2025-07-23T18:00:02Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-06T16:44:27.568490Z","submitted_at":"2025-07-23T18:00:02Z","title":"Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":96,"verified_exact":4,"verified_fuzzy":0},"total_outbound_references":129},"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 100 of 129 outbound references and 3 inbound Pith citation observations for arXiv:2507.17815."}