{"as_of":"2026-08-11T07:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ad07431d24c157d67537a2ec7d0d15a05c910a0aa8a477c98740a001b9e5f5b4","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T11:48:18.591091Z","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":"2026-07-09T05:26:02.041808Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2504.07944","last_updated":"2025-05-07T21:42:53Z","snapshot_observed_at":"2026-08-07T16:06:45.475425Z","submitted_at":"2025-04-10T17:53:59Z","title":"Hyperbolic sine-Gordon model beyond the first threshold","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.07944","snapshot_observed_at":"2026-08-05T11:48:18.591091Z","title":"Zine, Hyperbolic sine-Gordon model beyond the first threshold , arXiv:2504.07944 [math.AP]","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":122,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.591091Z"},"links":{"cited_paper":"/paper/2504.07944","citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:5a6c882dc452b93184681d1feef82f87fb27b46ac690ea658960d09887884564","observation_id":"3280846f-c496-4c95-976c-8368a9024a17","resolution":{"observed_at":"2026-08-05T11:48:18.591091Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.07944","last_updated":"2025-05-07T21:42:53Z","snapshot_observed_at":"2026-08-07T16:06:45.475425Z","submitted_at":"2025-04-10T17:53:59Z","title":"Hyperbolic sine-Gordon model beyond the first threshold","version":2},"cited_work":{"arxiv_id":"2504.07944","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.07944","snapshot_observed_at":"2026-07-09T05:26:02.041808Z","title":"Hyperbolic sine-Gordon model beyond the first threshold","venue":"math.AP","work_id":"5a76d8f1-be89-4e30-92c8-3cc31ae93557","year":2025},"citing_paper":{"arxiv_id":"2607.07618","last_updated":"2026-07-08T16:33:53Z","snapshot_observed_at":"2026-08-06T15:12:27.514394Z","submitted_at":"2026-07-08T16:33:53Z","title":"Fourier restriction norm method adapted to controlled paths: stochastic wave equations","version":1},"reference_index":172,"source":"pdf_text","source_observed_at":"2026-07-09T05:21:50.042171Z"},"links":{"cited_paper":"/paper/2504.07944","citing_paper":"/paper/2607.07618"},"observation_digest":"sha256:deb5d6ac32cc410ce99860abe9a7513d298a93e5b36bfd251186fecbaaf4b31b","observation_id":"f97d7b46-86c0-4754-a820-bcbe33fa0a5c","resolution":{"observed_at":"2026-07-09T05:26:02.043619Z","resolver_source":"local_arxiv","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":"2504.07944","last_updated":"2025-05-07T21:42:53Z","snapshot_observed_at":"2026-08-07T16:06:45.475425Z","submitted_at":"2025-04-10T17:53:59Z","title":"Hyperbolic sine-Gordon model beyond the first threshold","version":2},"cited_work":{"arxiv_id":"2504.07944","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.07944","snapshot_observed_at":"2026-07-09T05:26:02.041808Z","title":"Hyperbolic sine-Gordon model beyond the first threshold","venue":"math.AP","work_id":"5a76d8f1-be89-4e30-92c8-3cc31ae93557","year":2025},"citing_paper":{"arxiv_id":"2607.07628","last_updated":"2026-07-08T16:43:59Z","snapshot_observed_at":"2026-08-06T05:33:27.894269Z","submitted_at":"2026-07-08T16:43:59Z","title":"On probabilistic ill-posedness","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-07-09T05:13:04.941635Z"},"links":{"cited_paper":"/paper/2504.07944","citing_paper":"/paper/2607.07628"},"observation_digest":"sha256:319c9b1bde0a61385296cc61b7c60aeaaf34c9f74281842efe4aebcbf1ecd00d","observation_id":"585402dd-9b71-46bd-a33e-e44258b89e87","resolution":{"observed_at":"2026-07-09T05:15:59.148676Z","resolver_source":"local_arxiv","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":"2504.07944","last_updated":"2025-05-07T21:42:53Z","snapshot_observed_at":"2026-08-07T16:06:45.475425Z","submitted_at":"2025-04-10T17:53:59Z","title":"Hyperbolic sine-Gordon model beyond the first threshold","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.07944","snapshot_observed_at":"2026-08-01T09:56:25.557177Z","title":"Hyperbolic Sine-","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.20632","last_updated":"2026-07-22T18:03:53Z","snapshot_observed_at":"2026-08-11T07:36:49.646456Z","submitted_at":"2026-07-22T18:03:53Z","title":"An FBSDE Construction of the Sine-Gordon EQFT for $\\beta^{2} < \\frac{6}{7}\\, 8\\pi$ and Perturbative Renormalization in the Full Subcritical Regime","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-01T09:56:25.557177Z"},"links":{"cited_paper":"/paper/2504.07944","citing_paper":"/paper/2607.20632"},"observation_digest":"sha256:1d37795bc2fc7888cfea06b25d1d06e1f3e550ec4e9c258aa0abd453cff41385","observation_id":"6e45fcd1-5a2f-456d-bc5e-e6ce58d59e44","resolution":{"observed_at":"2026-08-01T09:56:25.557177Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2504.07944/citation-record","integrity":"/paper/2504.07944/integrity","json":"/paper/2504.07944/citation-record.json","paper":"/paper/2504.07944"},"outbound":[],"paper":{"arxiv_id":"2504.07944","last_updated":"2025-05-07T21:42:53Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-07T16:06:45.475425Z","submitted_at":"2025-04-10T17:53:59Z","title":"Hyperbolic sine-Gordon model beyond the first threshold"},"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 4 inbound Pith citation observations for arXiv:2504.07944."}