{"as_of":"2026-08-11T12:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5b8560ee15a05549575c095f0bce5addd378585639218c4840d14e9d1b2253a0","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":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T18:40:27.815773Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T06:47:43.433688Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2209.09517","last_updated":"2025-03-25T07:28:55Z","snapshot_observed_at":"2026-08-04T23:56:49.289957Z","submitted_at":"2022-09-20T07:24:36Z","title":"Generation Function For One-loop Tensor Reduction","version":2},"cited_work":{"arxiv_id":"2209.09517","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2209.09517","snapshot_observed_at":"2026-07-03T06:47:43.433688Z","title":"Feng,Generation function for one-loop tensor reduction,Commun","venue":null,"work_id":"fd05b3f4-1531-4faf-84c5-d8bc2c59f087","year":2023},"citing_paper":{"arxiv_id":"2412.15962","last_updated":"2026-04-29T11:38:13Z","snapshot_observed_at":"2026-07-06T20:10:56.727212Z","submitted_at":"2024-12-20T14:57:51Z","title":"Feynman Integral Reduction without Integration-By-Parts","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-05-23T07:04:01.563506Z"},"links":{"cited_paper":"/paper/2209.09517","citing_paper":"/paper/2412.15962"},"observation_digest":"sha256:c3809696b902cdb5494c84f368685241b0af80183cdee2760e258ec278311612","observation_id":"91b0561b-823f-46b7-b916-c404b27b9c15","resolution":{"observed_at":"2026-05-23T07:05:29.320380Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2209.09517","last_updated":"2025-03-25T07:28:55Z","snapshot_observed_at":"2026-08-04T23:56:49.289957Z","submitted_at":"2022-09-20T07:24:36Z","title":"Generation Function For One-loop Tensor Reduction","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.09517","snapshot_observed_at":"2026-08-10T18:40:27.815773Z","title":"Feng,Generation function for one-loop tensor reduction, Commun","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.11150","last_updated":"2025-01-19T19:23:56Z","snapshot_observed_at":"2026-08-10T18:32:54.997641Z","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":73,"source":"pdf_text","source_observed_at":"2026-08-10T18:40:27.815773Z"},"links":{"cited_paper":"/paper/2209.09517","citing_paper":"/paper/2501.11150"},"observation_digest":"sha256:7fa2981ef2cb5c03d0079d06397f1e60798970458c863549e7cd85aade503feb","observation_id":"45a01ef3-33b6-4028-bcb2-1593660875dd","resolution":{"observed_at":"2026-08-10T18:40:27.815773Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.09517","last_updated":"2025-03-25T07:28:55Z","snapshot_observed_at":"2026-08-04T23:56:49.289957Z","submitted_at":"2022-09-20T07:24:36Z","title":"Generation Function For One-loop Tensor Reduction","version":2},"cited_work":{"arxiv_id":"2209.09517","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2209.09517","snapshot_observed_at":"2026-07-03T06:47:43.433688Z","title":"Feng,Generation function for one-loop tensor reduction,Commun","venue":null,"work_id":"fd05b3f4-1531-4faf-84c5-d8bc2c59f087","year":2023},"citing_paper":{"arxiv_id":"2509.04425","last_updated":"2026-04-14T21:38:16Z","snapshot_observed_at":"2026-08-11T01:39:51.322036Z","submitted_at":"2025-09-04T17:46:45Z","title":"Hidden simplicity in the scattering for neutron stars and black holes","version":3},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-05-18T18:53:09.818269Z"},"links":{"cited_paper":"/paper/2209.09517","citing_paper":"/paper/2509.04425"},"observation_digest":"sha256:f670ef2c156dc0fdf53f69552c1cca463edd5caa987f1586e2d40ae28b192f6a","observation_id":"48ccf5b5-4ac3-4807-9140-f80b0cf04543","resolution":{"observed_at":"2026-05-18T18:56:46.526517Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2209.09517","last_updated":"2025-03-25T07:28:55Z","snapshot_observed_at":"2026-08-04T23:56:49.289957Z","submitted_at":"2022-09-20T07:24:36Z","title":"Generation Function For One-loop Tensor Reduction","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.09517","snapshot_observed_at":"2026-08-04T15:45:00.475836Z","title":"Feng,Generation function for one-loop tensor reduction,Commun","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.18730","last_updated":"2026-07-13T05:07:40Z","snapshot_observed_at":"2026-08-09T10:42:33.390203Z","submitted_at":"2025-09-23T07:23:34Z","title":"Tensor Reduction of Sunset by Generating Function","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-04T15:45:00.475836Z"},"links":{"cited_paper":"/paper/2209.09517","citing_paper":"/paper/2509.18730"},"observation_digest":"sha256:ff8fdb9719c6645104524980ac5e400dea726e039226178f44e95b8de3fae7e1","observation_id":"e186e98b-cf35-45c5-8416-6a2caadf5f58","resolution":{"observed_at":"2026-08-04T15:45:00.475836Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.09517","last_updated":"2025-03-25T07:28:55Z","snapshot_observed_at":"2026-08-04T23:56:49.289957Z","submitted_at":"2022-09-20T07:24:36Z","title":"Generation Function For One-loop Tensor Reduction","version":2},"cited_work":{"arxiv_id":"2209.09517","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2209.09517","snapshot_observed_at":"2026-07-03T06:47:43.433688Z","title":"Feng,Generation function for one-loop tensor reduction,Commun","venue":null,"work_id":"fd05b3f4-1531-4faf-84c5-d8bc2c59f087","year":2023},"citing_paper":{"arxiv_id":"2512.21210","last_updated":"2026-04-07T17:16:26Z","snapshot_observed_at":"2026-07-06T22:40:02.746573Z","submitted_at":"2025-12-24T14:49:21Z","title":"Twisted Feynman Integrals: from generating functions to spin-resummed post-Minkowskian dynamics","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-16T19:53:53.103611Z"},"links":{"cited_paper":"/paper/2209.09517","citing_paper":"/paper/2512.21210"},"observation_digest":"sha256:9281c1f205bb533121d5ff7a7801ae9204b2ce61014f8f8d0e2b7a6eebcbdbfd","observation_id":"2c7988fc-d259-4063-bc4a-154a6719e572","resolution":{"observed_at":"2026-05-16T19:58:23.400034Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2209.09517","last_updated":"2025-03-25T07:28:55Z","snapshot_observed_at":"2026-08-04T23:56:49.289957Z","submitted_at":"2022-09-20T07:24:36Z","title":"Generation Function For One-loop Tensor Reduction","version":2},"cited_work":{"arxiv_id":"2209.09517","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2209.09517","snapshot_observed_at":"2026-07-03T06:47:43.433688Z","title":"Feng,Generation function for one-loop tensor reduction,Commun","venue":null,"work_id":"fd05b3f4-1531-4faf-84c5-d8bc2c59f087","year":2023},"citing_paper":{"arxiv_id":"2606.10698","last_updated":"2026-06-09T10:59:00Z","snapshot_observed_at":"2026-07-30T08:30:54.384467Z","submitted_at":"2026-06-09T10:59:00Z","title":"Efficient AI-Inspired Reduction of Feynman Integrals via Tube Seeding","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-06-27T12:28:49.796094Z"},"links":{"cited_paper":"/paper/2209.09517","citing_paper":"/paper/2606.10698"},"observation_digest":"sha256:761f275a31fe80e9ab96f3e86b51c84d5cf7cf1e36b432a3557123e385921fa2","observation_id":"06958fd4-6704-41c1-9bf5-7ee48d38dd3e","resolution":{"observed_at":"2026-07-03T06:47:43.435097Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2209.09517/citation-record","integrity":"/paper/2209.09517/integrity","json":"/paper/2209.09517/citation-record.json","paper":"/paper/2209.09517"},"outbound":[],"paper":{"arxiv_id":"2209.09517","last_updated":"2025-03-25T07:28:55Z","latest_version":2,"primary_category":"hep-ph","snapshot_observed_at":"2026-08-04T23:56:49.289957Z","submitted_at":"2022-09-20T07:24:36Z","title":"Generation Function For One-loop Tensor Reduction"},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2209.09517."}