{"as_of":"2026-08-22T06:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:20926ff3fed18ea7b4500a685b3d9983677cce8232ca3be2f9ddfeb22c80c1ae","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":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:24:16.383752Z","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":"2026-07-01T08:45:34.535392Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1806.09584","last_updated":"2018-09-17T09:04:19Z","snapshot_observed_at":"2026-08-15T22:58:31.775368Z","submitted_at":"2018-06-25T17:29:56Z","title":"A Vertex Operator Algebra Construction of the Colour-Kinematics Dual numerator","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.09584","snapshot_observed_at":"2026-08-14T13:24:16.383752Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.05221","last_updated":"2019-08-14T16:50:33Z","snapshot_observed_at":"2026-08-18T10:00:38.777497Z","submitted_at":"2019-08-14T16:50:33Z","title":"Two-Loop Scattering Amplitudes: Double-Forward Limit and Colour-Kinematics Duality","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-14T13:24:16.383752Z"},"links":{"cited_paper":"/paper/1806.09584","citing_paper":"/paper/1908.05221"},"observation_digest":"sha256:7ada1eba22f1cace1ea44fa3c1dce0c571a1a7cd9f9a31f2e742833be25f5460","observation_id":"8e2e2e13-79a6-46ac-aef9-f1887a305083","resolution":{"observed_at":"2026-08-14T13:24:16.383752Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.09584","last_updated":"2018-09-17T09:04:19Z","snapshot_observed_at":"2026-08-15T22:58:31.775368Z","submitted_at":"2018-06-25T17:29:56Z","title":"A Vertex Operator Algebra Construction of the Colour-Kinematics Dual numerator","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.09584","snapshot_observed_at":"2026-08-10T15:07:38.960257Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2501.14523","last_updated":"2025-05-20T11:46:00Z","snapshot_observed_at":"2026-08-16T11:42:16.519895Z","submitted_at":"2025-01-24T14:26:13Z","title":"HEFT Numerators from Kinematic Algebra","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T15:07:38.960257Z"},"links":{"cited_paper":"/paper/1806.09584","citing_paper":"/paper/2501.14523"},"observation_digest":"sha256:87056c58bca9e6aca65246ab611e7e0c8f2977bac180a12012e0044818e37e20","observation_id":"fedfe2f3-a195-4dad-8e02-f347d0da4735","resolution":{"observed_at":"2026-08-10T15:07:38.960257Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.09584","last_updated":"2018-09-17T09:04:19Z","snapshot_observed_at":"2026-08-15T22:58:31.775368Z","submitted_at":"2018-06-25T17:29:56Z","title":"A Vertex Operator Algebra Construction of the Colour-Kinematics Dual numerator","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.09584","snapshot_observed_at":"2026-08-07T04:50:49.641256Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2506.09869","last_updated":"2026-06-22T14:20:24Z","snapshot_observed_at":"2026-08-12T23:19:37.381866Z","submitted_at":"2025-06-11T15:42:00Z","title":"Off-shell double copy theories in BV","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-07T04:50:49.641256Z"},"links":{"cited_paper":"/paper/1806.09584","citing_paper":"/paper/2506.09869"},"observation_digest":"sha256:3ecede0b1e56262f6798a74798be272961824f5161c62a2f8bd05d99bacd8e21","observation_id":"2e8eb11c-3e3f-4ec6-9f1a-875c77b805c5","resolution":{"observed_at":"2026-08-07T04:50:49.641256Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.09584","last_updated":"2018-09-17T09:04:19Z","snapshot_observed_at":"2026-08-15T22:58:31.775368Z","submitted_at":"2018-06-25T17:29:56Z","title":"A Vertex Operator Algebra Construction of the Colour-Kinematics Dual numerator","version":2},"cited_work":{"arxiv_id":"1806.09584","doi":null,"metadata_source":"pith","pith_arxiv_id":"1806.09584","snapshot_observed_at":"2026-07-01T08:45:34.535392Z","title":"A Vertex Operator Algebra Construction of the Colour-Kinematics Dual numerator","venue":"hep-th","work_id":"5df2b943-379e-4d20-a10e-5ca2722a21fb","year":2018},"citing_paper":{"arxiv_id":"2604.24873","last_updated":"2026-04-27T18:01:43Z","snapshot_observed_at":"2026-08-16T18:33:36.667217Z","submitted_at":"2026-04-27T18:01:43Z","title":"Amplitudes in self-dual (higher-spin) theories","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-05-08T02:25:03.217683Z"},"links":{"cited_paper":"/paper/1806.09584","citing_paper":"/paper/2604.24873"},"observation_digest":"sha256:8e9dd84377228ef2764a40f99bac7ecebba012a728935cebb7e21d0a825502bf","observation_id":"b1d5ab66-59a5-4da9-9210-e7060c1dbd7e","resolution":{"observed_at":"2026-05-11T22:46:15.622756Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1806.09584","last_updated":"2018-09-17T09:04:19Z","snapshot_observed_at":"2026-08-15T22:58:31.775368Z","submitted_at":"2018-06-25T17:29:56Z","title":"A Vertex Operator Algebra Construction of the Colour-Kinematics Dual numerator","version":2},"cited_work":{"arxiv_id":"1806.09584","doi":null,"metadata_source":"pith","pith_arxiv_id":"1806.09584","snapshot_observed_at":"2026-07-01T08:45:34.535392Z","title":"A Vertex Operator Algebra Construction of the Colour-Kinematics Dual numerator","venue":"hep-th","work_id":"5df2b943-379e-4d20-a10e-5ca2722a21fb","year":2018},"citing_paper":{"arxiv_id":"2604.24874","last_updated":"2026-06-26T14:56:44Z","snapshot_observed_at":"2026-08-11T12:40:57.048706Z","submitted_at":"2026-04-27T18:02:18Z","title":"$N$-body modelling of the ED-2 stream progenitor shows Gaia BH3's formation involved dynamical interactions","version":2},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-07-01T08:43:22.893130Z"},"links":{"cited_paper":"/paper/1806.09584","citing_paper":"/paper/2604.24874"},"observation_digest":"sha256:d3a009943d786f4917b37553526621917d431b28d501e1cd5c03377be9961558","observation_id":"9c0727c6-d3bf-475b-950f-8e8e40d16a34","resolution":{"observed_at":"2026-07-01T08:45:34.537138Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1806.09584/citation-record","integrity":"/paper/1806.09584/integrity","json":"/paper/1806.09584/citation-record.json","paper":"/paper/1806.09584"},"outbound":[],"paper":{"arxiv_id":"1806.09584","last_updated":"2018-09-17T09:04:19Z","latest_version":2,"primary_category":"hep-th","snapshot_observed_at":"2026-08-15T22:58:31.775368Z","submitted_at":"2018-06-25T17:29:56Z","title":"A Vertex Operator Algebra Construction of the Colour-Kinematics Dual numerator"},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:1806.09584."}