{"as_of":"2026-08-15T11:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:04018fabe84d69074b5e694526d1fd32a5cae49ae304dd15d31a4bb88f5f9cd7","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":11,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":11,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":11,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":11,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T23:57:17.956494Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-10T06:56:52.275655Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2002.08173","last_updated":"2020-04-02T09:34:49Z","snapshot_observed_at":"2026-08-09T11:14:52.429486Z","submitted_at":"2020-02-19T13:32:34Z","title":"Factorization of denominators in integration-by-parts reductions","version":2},"cited_work":{"arxiv_id":"2002.08173","doi":null,"metadata_source":"pith","pith_arxiv_id":"2002.08173","snapshot_observed_at":"2026-07-10T06:56:52.275655Z","title":"Usovitsch,Factorization of denominators in integration-by-parts reductions, 2002.08173","venue":"hep-ph","work_id":"9975d70f-af2b-456f-b8bd-e8219bb76929","year":2020},"citing_paper":{"arxiv_id":"2008.06494","last_updated":"2023-02-22T22:51:09Z","snapshot_observed_at":"2026-08-13T01:46:52.597481Z","submitted_at":"2020-08-14T17:58:33Z","title":"Integral Reduction with Kira 2.0 and Finite Field Methods","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-05-18T00:11:25.832302Z"},"links":{"cited_paper":"/paper/2002.08173","citing_paper":"/paper/2008.06494"},"observation_digest":"sha256:e674d8e83e482b1a581d885f96650f647cc9a9d281fb29b339ab46e16c1bbb80","observation_id":"c5aa7a06-1ef9-4c02-a107-db704b8711a1","resolution":{"observed_at":"2026-05-18T00:11:26.171116Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2002.08173","last_updated":"2020-04-02T09:34:49Z","snapshot_observed_at":"2026-08-09T11:14:52.429486Z","submitted_at":"2020-02-19T13:32:34Z","title":"Factorization of denominators in integration-by-parts reductions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2002.08173","snapshot_observed_at":"2026-08-10T23:57:17.956494Z","title":"Usovitsch,Factorization of denominators in integration-by-parts reductions, arXiv:2002.08173","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2412.19884","last_updated":"2024-12-27T19:00:02Z","snapshot_observed_at":"2026-08-13T05:10:21.868972Z","submitted_at":"2024-12-27T19:00:02Z","title":"Planar Six-Point Feynman Integrals for Four-Dimensional Gauge Theories","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-10T23:57:17.956494Z"},"links":{"cited_paper":"/paper/2002.08173","citing_paper":"/paper/2412.19884"},"observation_digest":"sha256:6404c1a86c32420717f025b386ad8a02b4642b84a0b0bd63d41518fd7366ce50","observation_id":"62704657-3fff-4785-985f-639ec57768af","resolution":{"observed_at":"2026-08-10T23:57:17.956494Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2002.08173","last_updated":"2020-04-02T09:34:49Z","snapshot_observed_at":"2026-08-09T11:14:52.429486Z","submitted_at":"2020-02-19T13:32:34Z","title":"Factorization of denominators in integration-by-parts reductions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2002.08173","snapshot_observed_at":"2026-08-10T18:40:27.606676Z","title":"Usovitsch,Factorization of denominators in integration-by-parts reductions, arXiv:2002.08173","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2501.11150","last_updated":"2025-01-19T19:23:56Z","snapshot_observed_at":"2026-08-15T06:13:40.977759Z","submitted_at":"2025-01-19T19:23:56Z","title":"Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-10T18:40:27.606676Z"},"links":{"cited_paper":"/paper/2002.08173","citing_paper":"/paper/2501.11150"},"observation_digest":"sha256:a512436ab9c80308c40d6ee46f42c86f52a37166f2dbea5fe5fc3429ad4eb00c","observation_id":"0c3b32fd-22ae-4f25-8f0d-bf933af5b990","resolution":{"observed_at":"2026-08-10T18:40:27.606676Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2002.08173","last_updated":"2020-04-02T09:34:49Z","snapshot_observed_at":"2026-08-09T11:14:52.429486Z","submitted_at":"2020-02-19T13:32:34Z","title":"Factorization of denominators in integration-by-parts reductions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2002.08173","snapshot_observed_at":"2026-08-07T23:10:24.537273Z","title":"Factorization of denomina- tors in integration-by-parts reductions,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2502.08961","last_updated":"2025-07-30T17:13:45Z","snapshot_observed_at":"2026-08-12T17:27:09.962464Z","submitted_at":"2025-02-13T04:55:12Z","title":"First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order","version":3},"reference_index":135,"source":"pdf_text","source_observed_at":"2026-08-07T23:10:24.537273Z"},"links":{"cited_paper":"/paper/2002.08173","citing_paper":"/paper/2502.08961"},"observation_digest":"sha256:81cf01b6933872091ab64b5263a7f5fb779209d4a67e1f36f0af3cc50db05644","observation_id":"4adc3b94-21ed-4fc6-9cfb-2381b8ba27cc","resolution":{"observed_at":"2026-08-07T23:10:24.537273Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2002.08173","last_updated":"2020-04-02T09:34:49Z","snapshot_observed_at":"2026-08-09T11:14:52.429486Z","submitted_at":"2020-02-19T13:32:34Z","title":"Factorization of denominators in integration-by-parts reductions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2002.08173","snapshot_observed_at":"2026-08-03T08:40:32.950032Z","title":"Usovitsch,Factorization of denominators in integration-by-parts reductions,2002.08173","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2601.16256","last_updated":"2026-07-13T19:47:59Z","snapshot_observed_at":"2026-08-09T21:36:20.759595Z","submitted_at":"2026-01-22T19:00:01Z","title":"Conservative Black Hole Scattering at Fifth Post-Minkowskian and Second Self-Force Order","version":4},"reference_index":161,"source":"pdf_text","source_observed_at":"2026-08-03T08:40:32.950032Z"},"links":{"cited_paper":"/paper/2002.08173","citing_paper":"/paper/2601.16256"},"observation_digest":"sha256:fab6a0af306a01bdb0ee263a58b09abd300dedde58ea241d2bf288baee49c369","observation_id":"c07a0daf-12e0-4689-8fa9-e047d3e81612","resolution":{"observed_at":"2026-08-03T08:40:32.950032Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2002.08173","last_updated":"2020-04-02T09:34:49Z","snapshot_observed_at":"2026-08-09T11:14:52.429486Z","submitted_at":"2020-02-19T13:32:34Z","title":"Factorization of denominators in integration-by-parts reductions","version":2},"cited_work":{"arxiv_id":"2002.08173","doi":null,"metadata_source":"pith","pith_arxiv_id":"2002.08173","snapshot_observed_at":"2026-07-10T06:56:52.275655Z","title":"Usovitsch,Factorization of denominators in integration-by-parts reductions, 2002.08173","venue":"hep-ph","work_id":"9975d70f-af2b-456f-b8bd-e8219bb76929","year":2020},"citing_paper":{"arxiv_id":"2603.15751","last_updated":"2026-04-29T13:55:35Z","snapshot_observed_at":"2026-08-13T11:13:39.640237Z","submitted_at":"2026-03-16T18:00:08Z","title":"The photon-energy spectrum in $B\\to X_s\\gamma$ to N$^3$LO: light-fermion and large-$N_{\\rm c}$ corrections","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-05-15T09:58:02.776150Z"},"links":{"cited_paper":"/paper/2002.08173","citing_paper":"/paper/2603.15751"},"observation_digest":"sha256:887ce5f9062c4448e8bcceb0b1e579bb56a90b55c528e53c1afe4de28bf57016","observation_id":"fbe14d31-12c5-4954-a202-4fa5aa732591","resolution":{"observed_at":"2026-05-15T09:59:54.898668Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2002.08173","last_updated":"2020-04-02T09:34:49Z","snapshot_observed_at":"2026-08-09T11:14:52.429486Z","submitted_at":"2020-02-19T13:32:34Z","title":"Factorization of denominators in integration-by-parts reductions","version":2},"cited_work":{"arxiv_id":"2002.08173","doi":null,"metadata_source":"pith","pith_arxiv_id":"2002.08173","snapshot_observed_at":"2026-07-10T06:56:52.275655Z","title":"Usovitsch,Factorization of denominators in integration-by-parts reductions, 2002.08173","venue":"hep-ph","work_id":"9975d70f-af2b-456f-b8bd-e8219bb76929","year":2020},"citing_paper":{"arxiv_id":"2604.09534","last_updated":"2026-04-24T16:06:53Z","snapshot_observed_at":"2026-08-12T17:24:43.596849Z","submitted_at":"2026-04-10T17:52:46Z","title":"The four-loop non-singlet splitting functions in QCD","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-05-10T16:44:13.520224Z"},"links":{"cited_paper":"/paper/2002.08173","citing_paper":"/paper/2604.09534"},"observation_digest":"sha256:266108cd607439125269dca32deb96084b2783740284b2696aad57cf6cd914e5","observation_id":"db98c516-d949-4662-a2e3-467bcc7b07eb","resolution":{"observed_at":"2026-05-11T08:16:01.662908Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2002.08173","last_updated":"2020-04-02T09:34:49Z","snapshot_observed_at":"2026-08-09T11:14:52.429486Z","submitted_at":"2020-02-19T13:32:34Z","title":"Factorization of denominators in integration-by-parts reductions","version":2},"cited_work":{"arxiv_id":"2002.08173","doi":null,"metadata_source":"pith","pith_arxiv_id":"2002.08173","snapshot_observed_at":"2026-07-10T06:56:52.275655Z","title":"Usovitsch,Factorization of denominators in integration-by-parts reductions, 2002.08173","venue":"hep-ph","work_id":"9975d70f-af2b-456f-b8bd-e8219bb76929","year":2020},"citing_paper":{"arxiv_id":"2605.13256","last_updated":"2026-05-13T09:39:49Z","snapshot_observed_at":"2026-07-06T23:24:52.373554Z","submitted_at":"2026-05-13T09:39:49Z","title":"Factorization of denominators as a `fuel' for Feynman integral reduction","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-05-14T18:44:08.605682Z"},"links":{"cited_paper":"/paper/2002.08173","citing_paper":"/paper/2605.13256"},"observation_digest":"sha256:dfbb5cffcf9263efed1eed817d90fe6e2fdf39123e44c5e7434db722f01c87c2","observation_id":"494328fe-d933-4193-b3aa-948cfad19465","resolution":{"observed_at":"2026-05-14T18:47:36.665796Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2002.08173","last_updated":"2020-04-02T09:34:49Z","snapshot_observed_at":"2026-08-09T11:14:52.429486Z","submitted_at":"2020-02-19T13:32:34Z","title":"Factorization of denominators in integration-by-parts reductions","version":2},"cited_work":{"arxiv_id":"2002.08173","doi":null,"metadata_source":"pith","pith_arxiv_id":"2002.08173","snapshot_observed_at":"2026-07-10T06:56:52.275655Z","title":"Usovitsch,Factorization of denominators in integration-by-parts reductions, 2002.08173","venue":"hep-ph","work_id":"9975d70f-af2b-456f-b8bd-e8219bb76929","year":2020},"citing_paper":{"arxiv_id":"2606.22500","last_updated":"2026-06-21T13:44:56Z","snapshot_observed_at":"2026-08-14T02:15:32.607273Z","submitted_at":"2026-06-21T13:44:56Z","title":"Taming Symbolic IBP Reduction with Intermediate Bases","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-06-26T10:19:06.103840Z"},"links":{"cited_paper":"/paper/2002.08173","citing_paper":"/paper/2606.22500"},"observation_digest":"sha256:b36199a5d2f5cf60737aa07f400eb3ac871d8bf88d206c1eb65b0bceb9fa36e7","observation_id":"51bf5fe4-0da8-4057-b101-573d82b73b2a","resolution":{"observed_at":"2026-07-04T09:19:42.778612Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2002.08173","last_updated":"2020-04-02T09:34:49Z","snapshot_observed_at":"2026-08-09T11:14:52.429486Z","submitted_at":"2020-02-19T13:32:34Z","title":"Factorization of denominators in integration-by-parts reductions","version":2},"cited_work":{"arxiv_id":"2002.08173","doi":null,"metadata_source":"pith","pith_arxiv_id":"2002.08173","snapshot_observed_at":"2026-07-10T06:56:52.275655Z","title":"Usovitsch,Factorization of denominators in integration-by-parts reductions, 2002.08173","venue":"hep-ph","work_id":"9975d70f-af2b-456f-b8bd-e8219bb76929","year":2020},"citing_paper":{"arxiv_id":"2607.00187","last_updated":"2026-06-30T21:08:14Z","snapshot_observed_at":"2026-08-14T14:15:54.696673Z","submitted_at":"2026-06-30T21:08:14Z","title":"From geometry to phenomenology","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-07-02T17:55:02.443530Z"},"links":{"cited_paper":"/paper/2002.08173","citing_paper":"/paper/2607.00187"},"observation_digest":"sha256:60f2d6464a1ce851a1913731f94f0c0ad9b4b8ec77f70064e24df0c7fe94b9ff","observation_id":"3aeea842-cb2c-4711-9905-6570f4cae862","resolution":{"observed_at":"2026-07-02T17:57:15.284554Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2002.08173","last_updated":"2020-04-02T09:34:49Z","snapshot_observed_at":"2026-08-09T11:14:52.429486Z","submitted_at":"2020-02-19T13:32:34Z","title":"Factorization of denominators in integration-by-parts reductions","version":2},"cited_work":{"arxiv_id":"2002.08173","doi":null,"metadata_source":"pith","pith_arxiv_id":"2002.08173","snapshot_observed_at":"2026-07-10T06:56:52.275655Z","title":"Usovitsch,Factorization of denominators in integration-by-parts reductions, 2002.08173","venue":"hep-ph","work_id":"9975d70f-af2b-456f-b8bd-e8219bb76929","year":2020},"citing_paper":{"arxiv_id":"2607.08477","last_updated":"2026-07-09T13:33:47Z","snapshot_observed_at":"2026-08-14T20:36:59.205479Z","submitted_at":"2026-07-09T13:33:47Z","title":"AMFlow 2.0: significant algorithmic and software improvements for Feynman integral evaluation","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-07-10T06:51:36.448776Z"},"links":{"cited_paper":"/paper/2002.08173","citing_paper":"/paper/2607.08477"},"observation_digest":"sha256:b1af95bb3e193e9dee362996db4a7d0c50c47c170f98a22085a603af3fd953c9","observation_id":"1ebd2301-e73f-44d9-80c0-4a69240be997","resolution":{"observed_at":"2026-07-10T06:56:52.276877Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2002.08173/citation-record","integrity":"/paper/2002.08173/integrity","json":"/paper/2002.08173/citation-record.json","paper":"/paper/2002.08173"},"outbound":[],"paper":{"arxiv_id":"2002.08173","last_updated":"2020-04-02T09:34:49Z","latest_version":2,"primary_category":"hep-ph","snapshot_observed_at":"2026-08-09T11:14:52.429486Z","submitted_at":"2020-02-19T13:32:34Z","title":"Factorization of denominators in integration-by-parts reductions"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 inbound Pith citation observations for arXiv:2002.08173."}