{"as_of":"2026-08-24T03:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:34758385e5294d9ddc370295452f600dcc7be3bece837d9ca5ac69a4b1a3180c","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":"2026-08-23T06:30:58.430688+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":"2026-08-11T14:42:19.349427Z","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":"2026-05-12T06:56:27.160423Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2403.17910","last_updated":"2024-08-27T14:35:58Z","snapshot_observed_at":"2026-08-19T11:56:10.384515Z","submitted_at":"2024-03-26T17:47:00Z","title":"Beyond chromatic threshold via the $(p,q)$-theorem, and a sharp blow-up phenomenon","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.17910","snapshot_observed_at":"2026-08-11T14:42:19.349427Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.11901","last_updated":"2026-06-08T14:53:17Z","snapshot_observed_at":"2026-08-18T10:06:14.450469Z","submitted_at":"2024-12-16T15:46:31Z","title":"The Frankl-Pach upper bound is not tight for any uniformity","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T14:42:19.349427Z"},"links":{"cited_paper":"/paper/2403.17910","citing_paper":"/paper/2412.11901"},"observation_digest":"sha256:6c312869125387ee3ad1bc7d879e385549afb558dbfa4dc2092b559be089cd26","observation_id":"99f296df-50dd-4247-95bc-97454e0c27f9","resolution":{"observed_at":"2026-08-11T14:42:19.349427Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.17910","last_updated":"2024-08-27T14:35:58Z","snapshot_observed_at":"2026-08-19T11:56:10.384515Z","submitted_at":"2024-03-26T17:47:00Z","title":"Beyond chromatic threshold via the $(p,q)$-theorem, and a sharp blow-up phenomenon","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.17910","snapshot_observed_at":"2026-08-07T21:09:38.702125Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09576","last_updated":"2025-02-13T18:34:43Z","snapshot_observed_at":"2026-08-18T10:04:07.050382Z","submitted_at":"2025-02-13T18:34:43Z","title":"Interpolating chromatic and homomorphism thresholds","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T21:09:38.702125Z"},"links":{"cited_paper":"/paper/2403.17910","citing_paper":"/paper/2502.09576"},"observation_digest":"sha256:391b60f67deb772ac2278e493bba709ba1594243e102e7c56de8bd67fe3e37a3","observation_id":"7ddfe724-fbbe-4a29-a29b-66589ae78488","resolution":{"observed_at":"2026-08-07T21:09:38.702125Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.17910","last_updated":"2024-08-27T14:35:58Z","snapshot_observed_at":"2026-08-19T11:56:10.384515Z","submitted_at":"2024-03-26T17:47:00Z","title":"Beyond chromatic threshold via the $(p,q)$-theorem, and a sharp blow-up phenomenon","version":3},"cited_work":{"arxiv_id":"2403.17910","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.17910","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"71a2ea8a-8418-4f2b-ad43-95cc474a5edc","year":2024},"citing_paper":{"arxiv_id":"2605.10897","last_updated":"2026-05-11T17:38:56Z","snapshot_observed_at":"2026-08-16T14:14:17.700826Z","submitted_at":"2026-05-11T17:38:56Z","title":"Chromatic thresholds for pairs of graphs","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-12T03:50:03.583219Z"},"links":{"cited_paper":"/paper/2403.17910","citing_paper":"/paper/2605.10897"},"observation_digest":"sha256:7a10219c976b513c9c165078b445c112adb886d4071943bea237a609d3e514ff","observation_id":"19f9447e-26c8-4e85-9bde-8ff54fbd5a8d","resolution":{"observed_at":"2026-05-12T06:56:27.166637Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.17910","last_updated":"2024-08-27T14:35:58Z","snapshot_observed_at":"2026-08-19T11:56:10.384515Z","submitted_at":"2024-03-26T17:47:00Z","title":"Beyond chromatic threshold via the $(p,q)$-theorem, and a sharp blow-up phenomenon","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.17910","snapshot_observed_at":"2026-07-12T05:18:33.012923Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.03035","last_updated":"2026-07-03T07:28:38Z","snapshot_observed_at":"2026-08-02T10:31:25.907736Z","submitted_at":"2026-07-03T07:28:38Z","title":"On the spectrum and structure of blowup thresholds","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-12T05:18:33.012923Z"},"links":{"cited_paper":"/paper/2403.17910","citing_paper":"/paper/2607.03035"},"observation_digest":"sha256:078d312e5ba2bb14500b168bddb88937911af5e0cfec20e052206de58dfdaa08","observation_id":"1495ba0e-4101-4b05-b48a-8290c0051159","resolution":{"observed_at":"2026-07-12T05:18:33.012923Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.17910","last_updated":"2024-08-27T14:35:58Z","snapshot_observed_at":"2026-08-19T11:56:10.384515Z","submitted_at":"2024-03-26T17:47:00Z","title":"Beyond chromatic threshold via the $(p,q)$-theorem, and a sharp blow-up phenomenon","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.17910","snapshot_observed_at":"2026-07-31T13:36:55.866518Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28241","last_updated":"2026-07-30T14:06:22Z","snapshot_observed_at":"2026-08-15T01:39:04.084637Z","submitted_at":"2026-07-30T14:06:22Z","title":"Exact Homomorphism Thresholds Beyond Cliques","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-31T13:36:55.866518Z"},"links":{"cited_paper":"/paper/2403.17910","citing_paper":"/paper/2607.28241"},"observation_digest":"sha256:147d091febc67c37f805b14fb40b38fa30d1f6296d25d437aa3a32154dbbfb65","observation_id":"1cb68c69-edd4-4ea2-9359-20dc5f7eb80a","resolution":{"observed_at":"2026-07-31T13:36:55.866518Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2403.17910/citation-record","integrity":"/paper/2403.17910/integrity","json":"/paper/2403.17910/citation-record.json","paper":"/paper/2403.17910"},"outbound":[],"paper":{"arxiv_id":"2403.17910","last_updated":"2024-08-27T14:35:58Z","latest_version":3,"primary_category":"math.CO","snapshot_observed_at":"2026-08-19T11:56:10.384515Z","submitted_at":"2024-03-26T17:47:00Z","title":"Beyond chromatic threshold via the $(p,q)$-theorem, and a sharp blow-up phenomenon"},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 24 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2403.17910."}