{"as_of":"2026-08-15T22:32:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a8bd89feaa1b5237979ae55ac54c533fa3e033bd8e9bc25f8c1034bbcd662c02","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T21:05:00.973613Z","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":"2026-06-29T19:43:55.144049Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2204.09561","last_updated":"2022-04-20T15:59:21Z","snapshot_observed_at":"2026-08-13T15:58:54.402688Z","submitted_at":"2022-04-20T15:59:21Z","title":"Optimal mass normalizability for Gibbs measure associated with NLS on the 2D disc","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.09561","snapshot_observed_at":"2026-08-11T21:05:00.973613Z","title":"Xian, Optimal mass normalizability for Gibbs measure associated with NLS on the 2D disc , Preprint arXiv: 2204.09561 (2022)","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.05354","last_updated":"2024-12-06T18:55:18Z","snapshot_observed_at":"2026-08-12T16:20:52.903505Z","submitted_at":"2024-12-06T18:55:18Z","title":"Gibbs measures as local equilibrium KMS states for focusing nonlinear Schr\\\"odinger equations","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-11T21:05:00.973613Z"},"links":{"cited_paper":"/paper/2204.09561","citing_paper":"/paper/2412.05354"},"observation_digest":"sha256:43e28e70d6fd6630a5d2a2a56987021aa7375a481b319c661069b2a25a58991a","observation_id":"9566a549-6e31-458b-a22c-d1c3b10c599d","resolution":{"observed_at":"2026-08-11T21:05:00.973613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.09561","last_updated":"2022-04-20T15:59:21Z","snapshot_observed_at":"2026-08-13T15:58:54.402688Z","submitted_at":"2022-04-20T15:59:21Z","title":"Optimal mass normalizability for Gibbs measure associated with NLS on the 2D disc","version":1},"cited_work":{"arxiv_id":"2204.09561","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2204.09561","snapshot_observed_at":"2026-06-29T19:43:55.144049Z","title":null,"venue":null,"work_id":"50752205-d9b4-418a-9260-aaa17d875a32","year":2022},"citing_paper":{"arxiv_id":"2605.25755","last_updated":"2026-05-25T12:07:10Z","snapshot_observed_at":"2026-08-09T14:14:55.412923Z","submitted_at":"2026-05-25T12:07:10Z","title":"Derivation of the focusing $\\Phi^6_1$ measure in the optimal mass regime from many-body quantum Gibbs states","version":1},"reference_index":70,"source":"arxiv_source","source_observed_at":"2026-06-29T19:34:06.059420Z"},"links":{"cited_paper":"/paper/2204.09561","citing_paper":"/paper/2605.25755"},"observation_digest":"sha256:f16e88e5179165e2e56ad082a198c91fa94993edb36122a62a55eff18e1d86d4","observation_id":"fa949675-f94d-4870-81ba-9c84286fbac2","resolution":{"observed_at":"2026-06-29T19:43:55.145783Z","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"}}],"links":{"evidence":"/evidence","html":"/paper/2204.09561/citation-record","integrity":"/paper/2204.09561/integrity","json":"/paper/2204.09561/citation-record.json","paper":"/paper/2204.09561"},"outbound":[],"paper":{"arxiv_id":"2204.09561","last_updated":"2022-04-20T15:59:21Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-13T15:58:54.402688Z","submitted_at":"2022-04-20T15:59:21Z","title":"Optimal mass normalizability for Gibbs measure associated with NLS on the 2D disc"},"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 2 inbound Pith citation observations for arXiv:2204.09561."}