{"as_of":"2026-08-07T06:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1afe81199658bfa99a92a17b05108490657088e60a0853aae0e82235826a0ecd","coverage":[{"denominator":24,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":24,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T17:42:27.271575Z","state":"measured"},{"denominator":24,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":24,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2508.15952/citation-record","integrity":"/paper/2508.15952/integrity","json":"/paper/2508.15952/citation-record.json","paper":"/paper/2508.15952"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"1101.3557","last_updated":"2011-03-10T13:20:20Z","snapshot_observed_at":"2026-07-06T02:22:13.754184Z","submitted_at":"2011-01-18T21:03:05Z","title":"Angular integrals in d dimensions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1101.3557","snapshot_observed_at":"2026-08-05T17:42:25.857790Z","title":"Somogyi, Angular integrals in d dimensions , J","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:25.857790Z"},"links":{"cited_paper":"/paper/1101.3557","citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:35f33cc47014b69cd22eae29aa408e75644bf5da8b9faa797f4b81d4dd7fbf2c","observation_id":"9bb483bc-b8bb-4f1b-bf9f-843d40550daf","resolution":{"observed_at":"2026-08-05T17:42:25.857790Z","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":"2026-08-05T17:42:25.984662Z","title":"Anastasiou, C","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:25.984662Z"},"links":{"cited_paper":"/paper/1302.4379","citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:c2ffba98a386a88005231736ae9657c8dbd684f788c2f1e10b956d3cf1972397","observation_id":"50b3ded2-05c9-488a-9273-43d10bff71f7","resolution":{"observed_at":"2026-08-05T17:42:25.984662Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.18886","last_updated":"2024-10-24T16:22:30Z","snapshot_observed_at":"2026-07-06T19:39:10.669393Z","submitted_at":"2024-10-24T16:22:30Z","title":"Phase-space integrals through Mellin-Barnes representation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.18886","snapshot_observed_at":"2026-08-05T17:42:26.228365Z","title":"Ahmed, S.M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:26.228365Z"},"links":{"cited_paper":"/paper/2410.18886","citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:ba50e5efaa11d330d4770f36971c0046ef86abb648fa3360aebd587a400a3168","observation_id":"cbd78a44-66cd-404b-a723-45e27f49aa08","resolution":{"observed_at":"2026-08-05T17:42:26.228365Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.16509","last_updated":"2025-03-28T09:09:54Z","snapshot_observed_at":"2026-07-06T20:11:24.538172Z","submitted_at":"2024-12-21T07:13:18Z","title":"NNLO phase-space integrals for semi-inclusive deep-inelastic scattering","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.16509","snapshot_observed_at":"2026-08-05T17:42:26.375259Z","title":"Ahmed, S","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:26.375259Z"},"links":{"cited_paper":"/paper/2412.16509","citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:2859b53c9dad6fe976a7a43c506d3b605b26775d345a828edf7224c5bb883f2b","observation_id":"d48cfa0a-499f-468b-809d-e1c6b6c03918","resolution":{"observed_at":"2026-08-05T17:42:26.375259Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T17:42:28.156924Z","title":"Schellekens, PERTURBATIVE QCD AND LEPTON PAIR PRODUCTION (6, 1981)","venue":null,"work_id":"3ceea487-4cdd-4a60-81f9-02aadc6fe14c","year":1981},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:26.520324Z"},"links":{"citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:55633cd4c37e3fafe06e3526c8648099459e3bc4f5cca8c75a9bf4dd98ec5c06","observation_id":"074f4dd3-7f88-4c5f-aca6-2ec711bedee2","resolution":{"observed_at":"2026-08-05T17:42:28.162815Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T17:42:28.136125Z","title":"van Neerven, Dimensional Regularization of Mass and Infrared Singularities in Two Loop On-shell Vertex Functions , Nucl.Phys","venue":null,"work_id":"6d959fdb-d8ef-4f93-a41b-d3ee2595c62d","year":1986},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:26.654233Z"},"links":{"citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:dd7f215e4ae706a12e8f18d2b3ffbbe2b059e8db1e16cc01647e0a2a976a715e","observation_id":"962f39b4-d076-4b11-b370-7df539248140","resolution":{"observed_at":"2026-08-05T17:42:28.143656Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T17:42:28.104988Z","title":"Beenakker, H","venue":null,"work_id":"f215b376-3e5a-4149-8908-1b523b6cb5a3","year":1989},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:26.745851Z"},"links":{"citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:8527594f499b803b63f68f253fb4ade093cd368e5d8d4f8f34fb791ef9a50da4","observation_id":"7dc4f209-938c-492c-9833-0cc0e102ceac","resolution":{"observed_at":"2026-08-05T17:42:28.113102Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.08943","last_updated":"2021-06-10T10:11:24Z","snapshot_observed_at":"2026-07-06T10:42:15.700366Z","submitted_at":"2021-02-17T18:56:46Z","title":"New ideas for handling of loop and angular integrals in D-dimensions in QCD","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.08943","snapshot_observed_at":"2026-08-05T17:42:26.865619Z","title":"Lyubovitskij, F","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:26.865619Z"},"links":{"cited_paper":"/paper/2102.08943","citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:12fb01337e76d339b0cec5e03ca03e50a4732b1340a2a51f7789e973fd09fd68","observation_id":"74ae6119-2f89-47d1-b460-d9abec1a25a4","resolution":{"observed_at":"2026-08-05T17:42:26.865619Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.09773","last_updated":"2024-03-19T12:38:58Z","snapshot_observed_at":"2026-07-06T17:44:49.990624Z","submitted_at":"2024-03-14T18:00:03Z","title":"Asymptotic behavior of angular integrals in the massless limit","version":2},"cited_work":{"arxiv_id":"2403.09773","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.09773","snapshot_observed_at":"2026-08-05T17:42:27.940781Z","title":"Asymptotic behavior of angular integrals in the massless limit","venue":"hep-ph","work_id":"fb3ff22b-f331-4130-a837-e8ac75d86824","year":2024},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:26.984969Z"},"links":{"cited_paper":"/paper/2403.09773","citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:280ece0b1745be7401554b6e2bd02a0c09ee7dd186618a0a0cc615e1e37e8989","observation_id":"75ee01c6-bec7-4d54-b8bd-6329eadf27f2","resolution":{"observed_at":"2026-08-05T17:42:27.948534Z","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":"2405.13120","last_updated":"2024-05-21T18:00:03Z","snapshot_observed_at":"2026-08-03T13:19:41.399207Z","submitted_at":"2024-05-21T18:00:03Z","title":"Expansion by regions meets angular integrals","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.13120","snapshot_observed_at":"2026-08-05T17:42:27.062816Z","title":"Smirnov and F","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:27.062816Z"},"links":{"cited_paper":"/paper/2405.13120","citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:dcde7168847d78cb6c8d65fe05e0480df253ea8cabc7194787e6839d9ca6b2ac","observation_id":"e11834aa-2ec9-4edf-abc8-0c1f054bd5e0","resolution":{"observed_at":"2026-08-05T17:42:27.062816Z","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":"2026-08-05T17:42:27.176494Z","title":"Haug and F","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:27.176494Z"},"links":{"citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:319442d62ca14c52d9e66fe9cf451e34ab02bcc56a376487c9686a6af6c43d1f","observation_id":"8e65fa4a-7b54-4c86-a47c-b3a1d2db2b4b","resolution":{"observed_at":"2026-08-05T17:42:27.176494Z","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":"2508.00693","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T17:42:27.763168Z","title":"Haug, V.A","venue":null,"work_id":"dcaa0882-265b-48ad-94cd-297315432c8f","year":null},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:27.182016Z"},"links":{"citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:7d69001714e6d9dcddcbcc9c1afa23d737ba8242ea592e09fc1098e93da97e74","observation_id":"7cfaa5ac-75b3-4731-ad2c-07882c49cfb6","resolution":{"observed_at":"2026-08-05T17:42:27.775536Z","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":"1612.01293","last_updated":"2016-12-05T10:05:12Z","snapshot_observed_at":"2026-07-06T05:21:20.295367Z","submitted_at":"2016-12-05T10:05:12Z","title":"Towards semi-inclusive deep inelastic scattering at next-to-next-to-leading order","version":1},"cited_work":{"arxiv_id":"1612.01293","doi":null,"metadata_source":"pith","pith_arxiv_id":"1612.01293","snapshot_observed_at":"2026-08-05T17:42:27.606563Z","title":"Towards semi-inclusive deep inelastic scattering at next-to-next-to-leading order","venue":"hep-ph","work_id":"eefff446-6184-4296-9ef4-4f4b11d898f5","year":2016},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:27.188127Z"},"links":{"cited_paper":"/paper/1612.01293","citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:06ac37e9bcf0ab15e7ac9efbe9fe0298adf3f98bba1b4ab9b518e1c62c7e0a9d","observation_id":"a314224f-8338-44f4-af30-011edd9a9888","resolution":{"observed_at":"2026-08-05T17:42:27.622465Z","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":"1903.01529","last_updated":"2019-03-04T20:38:58Z","snapshot_observed_at":"2026-07-06T07:37:01.951246Z","submitted_at":"2019-03-04T20:38:58Z","title":"Large Transverse Momentum in Semi-Inclusive Deeply Inelastic Scattering Beyond Lowest Order","version":1},"cited_work":{"arxiv_id":"1903.01529","doi":null,"metadata_source":"pith","pith_arxiv_id":"1903.01529","snapshot_observed_at":"2026-08-05T17:42:27.561729Z","title":"Large Transverse Momentum in Semi-Inclusive Deeply Inelastic Scattering Beyond Lowest Order","venue":"hep-ph","work_id":"58f75a1e-7dd5-4b4e-bb7f-b224bb854d6e","year":2019},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:27.194781Z"},"links":{"cited_paper":"/paper/1903.01529","citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:be9920a32a52d12f6a0aecda553a7ca2f29cb7e3da00d8d670556d601971808c","observation_id":"2b098fff-f960-4e12-90ac-0808613ca38d","resolution":{"observed_at":"2026-08-05T17:42:27.573332Z","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":"hep-ph/0410259","last_updated":"2004-10-19T12:27:22Z","snapshot_observed_at":"2026-07-07T04:05:22.567372Z","submitted_at":"2004-10-19T12:27:22Z","title":"Numerical evaluation of multiple polylogarithms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0410259","snapshot_observed_at":"2026-08-05T17:42:27.201958Z","title":"Vollinga and S","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:27.201958Z"},"links":{"cited_paper":"/paper/hep-ph/0410259","citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:595687edebb5f252aae9fc3e0ae714931d2d7dd20108802e01c08b2872ff82de","observation_id":"7e5a4b88-3127-40a9-b3d3-3510d94ca011","resolution":{"observed_at":"2026-08-05T17:42:27.201958Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1909.01656","last_updated":"2021-08-09T16:10:19Z","snapshot_observed_at":"2026-07-06T08:18:59.019395Z","submitted_at":"2019-09-04T09:41:47Z","title":"HandyG -- rapid numerical evaluation of generalised polylogarithms in Fortran","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1909.01656","snapshot_observed_at":"2026-08-05T17:42:27.208802Z","title":"Naterop, A","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:27.208802Z"},"links":{"cited_paper":"/paper/1909.01656","citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:94b351e4a3d4813c27368699b23e4b37f9d9f963f2490eb0778416d8a0f6dab2","observation_id":"547e0628-13c7-47e9-bdf9-67250c360fe2","resolution":{"observed_at":"2026-08-05T17:42:27.208802Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.14606","last_updated":"2024-12-24T20:29:17Z","snapshot_observed_at":"2026-07-06T18:34:29.513732Z","submitted_at":"2024-06-20T18:00:01Z","title":"The Tropical Geometry of Subtraction Schemes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.14606","snapshot_observed_at":"2026-08-05T17:42:27.215487Z","title":"Salvatori, The Tropical Geometry of Subtraction Schemes , 2406.14606","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:27.215487Z"},"links":{"cited_paper":"/paper/2406.14606","citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:1a1ac14034674ec13fda908b04e587951b2d192feba932cc7c8795ec180403a5","observation_id":"fe01bb5b-c6b0-47d3-af31-9796e2b67826","resolution":{"observed_at":"2026-08-05T17:42:27.215487Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9905323","last_updated":"1999-06-10T16:28:47Z","snapshot_observed_at":"2026-07-07T04:33:02.754781Z","submitted_at":"1999-05-12T16:55:24Z","title":"Analytical Result for Dimensionally Regularized Massless On-shell Double Box","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9905323","snapshot_observed_at":"2026-08-05T17:42:27.223067Z","title":"Smirnov, Analytical result for dimensionally regularized massless on shell double box , Phys","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:27.223067Z"},"links":{"cited_paper":"/paper/hep-ph/9905323","citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:380d5ff85b1b0e99b08d043e54d86fc6b8a47e1ac146f3c23df8f17d9b4bde8e","observation_id":"ac0b1488-0b71-4ed2-b645-94e145c0a79f","resolution":{"observed_at":"2026-08-05T17:42:27.223067Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9909506","last_updated":"1999-09-24T16:59:10Z","snapshot_observed_at":"2026-07-07T04:34:33.318432Z","submitted_at":"1999-09-24T16:59:10Z","title":"Non-planar massless two-loop Feynman diagrams with four on-shell legs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9909506","snapshot_observed_at":"2026-08-05T17:42:27.232113Z","title":"Tausk, Nonplanar massless two loop Feynman diagrams with four on-shell legs , Phys.Lett","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:27.232113Z"},"links":{"cited_paper":"/paper/hep-ph/9909506","citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:c21570b4a316134e4060ccf51f1fc0a02955053e3c1be893f804629540f9daee","observation_id":"a7ea3bea-d3d6-419f-be66-a3c0f5df2b05","resolution":{"observed_at":"2026-08-05T17:42:27.232113Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0511200","last_updated":"2006-01-23T22:19:57Z","snapshot_observed_at":"2026-07-07T04:09:21.779836Z","submitted_at":"2005-11-16T17:11:17Z","title":"Automatized analytic continuation of Mellin-Barnes integrals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0511200","snapshot_observed_at":"2026-08-05T17:42:27.240998Z","title":"Czakon, Automatized analytic continuation of Mellin-Barnes integrals , Comput","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:27.240998Z"},"links":{"cited_paper":"/paper/hep-ph/0511200","citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:bdcc6411dbfba934cb3241182e41f6450e60156a44aa4b74287f899c7f5ec895","observation_id":"4262222f-cedd-49d6-b280-741c58a13b1e","resolution":{"observed_at":"2026-08-05T17:42:27.240998Z","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":"2026-08-05T17:42:27.248212Z","title":"Duhr and F","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:27.248212Z"},"links":{"cited_paper":"/paper/1904.07279","citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:700958e14d1fe4d35c04abbc963d4ed85d3af7ad6ec7d748e69e66b98bc583c2","observation_id":"9a0faf58-cb2d-42ed-8a1b-b8797da6eed6","resolution":{"observed_at":"2026-08-05T17:42:27.248212Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1411.7538","last_updated":"2014-11-27T10:46:01Z","snapshot_observed_at":"2026-07-06T04:01:52.211333Z","submitted_at":"2014-11-27T10:46:01Z","title":"Mathematical aspects of scattering amplitudes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1411.7538","snapshot_observed_at":"2026-08-05T17:42:27.257678Z","title":"Duhr, Mathematical aspects of scattering amplitudes , 1411.7538","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:27.257678Z"},"links":{"cited_paper":"/paper/1411.7538","citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:c2a4c5c7f3e090973df2cbaae803c942d2864ee6337d4c5714251e60947156fe","observation_id":"bd4624f7-9a21-4226-9d75-36571bc3e83b","resolution":{"observed_at":"2026-08-05T17:42:27.257678Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T17:42:28.084950Z","title":"Chetyrkin and F.V","venue":null,"work_id":"e09fa90b-2b36-4a03-835e-7bc291005465","year":1981},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:27.265376Z"},"links":{"citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:a90af231d2691efa0123a588a82d9d19233ace2fed9e8778c8af64810252824e","observation_id":"affeac18-0850-49c0-baf4-5e734b3d90fb","resolution":{"observed_at":"2026-08-05T17:42:28.091420Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0102033","last_updated":"2001-02-03T11:42:35Z","snapshot_observed_at":"2026-07-07T03:51:21.780507Z","submitted_at":"2001-02-03T11:42:35Z","title":"High-precision calculation of multi-loop Feynman integrals by difference equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0102033","snapshot_observed_at":"2026-08-05T17:42:27.271575Z","title":"Laporta, High precision calculation of multiloop Feynman integrals by difference equations , Int","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T17:42:27.271575Z"},"links":{"cited_paper":"/paper/hep-ph/0102033","citing_paper":"/paper/2508.15952"},"observation_digest":"sha256:b655a320bbce902e8f7f94586c584925b48b44a66063bb3d3a1ab21ed9ab01a4","observation_id":"93891921-9755-4750-90af-4e1d889bb15a","resolution":{"observed_at":"2026-08-05T17:42:27.271575Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2508.15952","last_updated":"2025-08-21T20:45:20Z","latest_version":1,"primary_category":"hep-ph","snapshot_observed_at":"2026-08-05T17:42:24.748149Z","submitted_at":"2025-08-21T20:45:20Z","title":"Angular phase-space integrals with four denominators through Mellin--Barnes"},"reference_resolution":{"displayed":24,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":16,"verified_exact":4,"verified_fuzzy":4},"total_outbound_references":24},"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 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2508.15952."}