{"as_of":"2026-08-17T12:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1439e58eff5bc0685dbadb5791f46d5417bb691c5144601b89808f6c6031ed46","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":"2026-08-17T06:30:58.91139+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":"2026-08-15T19:50:46.400112Z","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":"2026-07-04T19:00:05.061896Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2407.18881","last_updated":"2026-06-22T16:11:12Z","snapshot_observed_at":"2026-08-16T13:30:42.566101Z","submitted_at":"2024-07-26T17:30:21Z","title":"Freeness for tensors","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.18881","snapshot_observed_at":"2026-08-15T19:50:46.400112Z","title":"Freeness for tensors,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.15362","last_updated":"2025-06-18T11:27:49Z","snapshot_observed_at":"2026-08-15T19:33:33.875067Z","submitted_at":"2025-06-18T11:27:49Z","title":"The large $N$ factorization does not hold for arbitrary multi-trace observables in random tensors","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-15T19:50:46.400112Z"},"links":{"cited_paper":"/paper/2407.18881","citing_paper":"/paper/2506.15362"},"observation_digest":"sha256:fe7e5519f69dfc40e28e7e121a2007fd2809c0d369a167b41af92b487eb5c44b","observation_id":"9fa7a79a-95d2-46c3-a562-14950c97f9e3","resolution":{"observed_at":"2026-08-15T19:50:46.400112Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.18881","last_updated":"2026-06-22T16:11:12Z","snapshot_observed_at":"2026-08-16T13:30:42.566101Z","submitted_at":"2024-07-26T17:30:21Z","title":"Freeness for tensors","version":4},"cited_work":{"arxiv_id":"2407.18881","doi":null,"metadata_source":"pith","pith_arxiv_id":"2407.18881","snapshot_observed_at":"2026-07-04T19:00:05.061896Z","title":"Phase Transition in Dually Weighted Colored Tensor Models","venue":"math.PR","work_id":"adbdad98-f436-47fc-95be-fb6620e147f7","year":2024},"citing_paper":{"arxiv_id":"2605.01887","last_updated":"2026-05-03T14:06:15Z","snapshot_observed_at":"2026-08-17T08:10:44.555813Z","submitted_at":"2026-05-03T14:06:15Z","title":"Properties of tensorial free cumulants","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-09T16:15:44.501730Z"},"links":{"cited_paper":"/paper/2407.18881","citing_paper":"/paper/2605.01887"},"observation_digest":"sha256:6c6e1bdda1e9b84370d1a975d5570f23e31d07c9d38b90ce22c7396277e0cd99","observation_id":"4e042232-0ab3-4652-9a6c-40b784c403bb","resolution":{"observed_at":"2026-06-23T04:13:37.643417Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.18881","last_updated":"2026-06-22T16:11:12Z","snapshot_observed_at":"2026-08-16T13:30:42.566101Z","submitted_at":"2024-07-26T17:30:21Z","title":"Freeness for tensors","version":4},"cited_work":{"arxiv_id":"2407.18881","doi":null,"metadata_source":"pith","pith_arxiv_id":"2407.18881","snapshot_observed_at":"2026-07-04T19:00:05.061896Z","title":"Phase Transition in Dually Weighted Colored Tensor Models","venue":"math.PR","work_id":"adbdad98-f436-47fc-95be-fb6620e147f7","year":2024},"citing_paper":{"arxiv_id":"2606.24859","last_updated":"2026-06-23T17:42:19Z","snapshot_observed_at":"2026-08-13T16:12:50.630701Z","submitted_at":"2026-06-23T17:42:19Z","title":"Additional constraints for the tensor bootstrap","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-06-25T22:09:30.826223Z"},"links":{"cited_paper":"/paper/2407.18881","citing_paper":"/paper/2606.24859"},"observation_digest":"sha256:90e4af4931117f774518cedab987655dbc692e8bac6f2c2f1d93a3e3ba80fbe0","observation_id":"fa7e616f-244a-45ac-9bc9-6ddcbd5a220a","resolution":{"observed_at":"2026-07-04T19:00:05.063062Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2407.18881/citation-record","integrity":"/paper/2407.18881/integrity","json":"/paper/2407.18881/citation-record.json","paper":"/paper/2407.18881"},"outbound":[],"paper":{"arxiv_id":"2407.18881","last_updated":"2026-06-22T16:11:12Z","latest_version":4,"primary_category":"math.PR","snapshot_observed_at":"2026-08-16T13:30:42.566101Z","submitted_at":"2024-07-26T17:30:21Z","title":"Freeness for tensors"},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2407.18881."}