{"as_of":"2026-08-12T22:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:22f49c6b8170a1bd48d7ee100750e0d63d0c970b9df7b49a6e258accea34261b","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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":"2026-08-11T10:41:06.136577Z","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":"2026-05-23T20:13:25.081932Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2404.09899","last_updated":"2024-09-25T07:02:11Z","snapshot_observed_at":"2026-08-12T06:20:25.274047Z","submitted_at":"2024-04-15T16:19:25Z","title":"Free Novikov algebras and the Hopf algebra of decorated multi-indices","version":4},"cited_work":{"arxiv_id":"2404.09899","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.09899","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"fa0e420b-547c-4b69-bc64-ecf51911dda2","year":null},"citing_paper":{"arxiv_id":"2410.00834","last_updated":"2026-04-18T09:35:55Z","snapshot_observed_at":"2026-07-06T19:25:23.988463Z","submitted_at":"2024-10-01T16:14:21Z","title":"Symmetries for the gKPZ equation via multi-indices","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-23T20:08:59.499213Z"},"links":{"cited_paper":"/paper/2404.09899","citing_paper":"/paper/2410.00834"},"observation_digest":"sha256:a4aa633543366a359112af44985ec1914b913594678387a9d5cff6c3b3c666c2","observation_id":"33d658f5-08ab-4468-9461-51e1d9ac3a6e","resolution":{"observed_at":"2026-05-23T20:13:25.084526Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.09899","last_updated":"2024-09-25T07:02:11Z","snapshot_observed_at":"2026-08-12T06:20:25.274047Z","submitted_at":"2024-04-15T16:19:25Z","title":"Free Novikov algebras and the Hopf algebra of decorated multi-indices","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.09899","snapshot_observed_at":"2026-08-11T10:41:06.136577Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.16479","last_updated":"2025-06-17T11:00:51Z","snapshot_observed_at":"2026-08-11T15:58:10.590680Z","submitted_at":"2024-12-21T04:14:17Z","title":"Rough differential equations and planarly branched universal limit theorem","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T10:41:06.136577Z"},"links":{"cited_paper":"/paper/2404.09899","citing_paper":"/paper/2412.16479"},"observation_digest":"sha256:43e2c2f5ce01e439a619cfe07a26e23cbe3d131ee8452d1710fbd01d3c5bfc44","observation_id":"bcf751b2-ef78-458d-aa43-f34a5381e2b8","resolution":{"observed_at":"2026-08-11T10:41:06.136577Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.09899","last_updated":"2024-09-25T07:02:11Z","snapshot_observed_at":"2026-08-12T06:20:25.274047Z","submitted_at":"2024-04-15T16:19:25Z","title":"Free Novikov algebras and the Hopf algebra of decorated multi-indices","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.09899","snapshot_observed_at":"2026-08-10T20:37:00.397576Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.08151","last_updated":"2025-06-06T11:01:13Z","snapshot_observed_at":"2026-08-11T14:29:03.046885Z","submitted_at":"2025-01-14T14:26:17Z","title":"Renormalising Feynman diagrams with multi-indices","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T20:37:00.397576Z"},"links":{"cited_paper":"/paper/2404.09899","citing_paper":"/paper/2501.08151"},"observation_digest":"sha256:d797e0d8639d7895c0f30c89a9c5ee4e920ce4eb27ea3cb73d9d236a04a93082","observation_id":"0b128b7b-f270-4ef8-9dd3-8fadedf5f235","resolution":{"observed_at":"2026-08-10T20:37:00.397576Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2404.09899/citation-record","integrity":"/paper/2404.09899/integrity","json":"/paper/2404.09899/citation-record.json","paper":"/paper/2404.09899"},"outbound":[],"paper":{"arxiv_id":"2404.09899","last_updated":"2024-09-25T07:02:11Z","latest_version":4,"primary_category":"math.CO","snapshot_observed_at":"2026-08-12T06:20:25.274047Z","submitted_at":"2024-04-15T16:19:25Z","title":"Free Novikov algebras and the Hopf algebra of decorated multi-indices"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2404.09899."}