{"as_of":"2026-08-20T08:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:434685e972c8beb7f86f390d367b980ac7803a2e60a844509b5c1eaeb343fb23","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":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T16:16:24.264500Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"pith","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"pith"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2504.06936","last_updated":"2025-04-09T14:41:20Z","snapshot_observed_at":"2026-08-16T12:42:40.449655Z","submitted_at":"2025-04-09T14:41:20Z","title":"On Macdonald expansions of $q$-chromatic symmetric functions and the Stanley-Stembridge Conjecture","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.06936","snapshot_observed_at":"2026-08-11T16:16:24.264500Z","title":"Griffin et al","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2412.10556","last_updated":"2025-08-01T00:28:15Z","snapshot_observed_at":"2026-08-18T13:24:39.732454Z","submitted_at":"2024-12-13T20:58:01Z","title":"When is the chromatic quasisymmetric function symmetric?","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T16:16:24.264500Z"},"links":{"cited_paper":"/paper/2504.06936","citing_paper":"/paper/2412.10556"},"observation_digest":"sha256:30c35f2da13f50d782e8416e6af92763f547c03fdb9a04166ae0fc965c181468","observation_id":"291983d8-d231-45bf-aa66-b752f83a65e6","resolution":{"observed_at":"2026-08-11T16:16:24.264500Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.06936","last_updated":"2025-04-09T14:41:20Z","snapshot_observed_at":"2026-08-16T12:42:40.449655Z","submitted_at":"2025-04-09T14:41:20Z","title":"On Macdonald expansions of $q$-chromatic symmetric functions and the Stanley-Stembridge Conjecture","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.06936","snapshot_observed_at":"2026-08-06T22:16:56.511072Z","title":"Griffin, Anton Mellit, Marino Romero, Kevin Weigl, and Joshua Jeishing Wen","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.23082","last_updated":"2025-06-29T04:24:11Z","snapshot_observed_at":"2026-08-14T18:44:56.764962Z","submitted_at":"2025-06-29T04:24:11Z","title":"Hall--Littlewood expansions of chromatic quasisymmetric polynomials using linked rook placements","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-06T22:16:56.511072Z"},"links":{"cited_paper":"/paper/2504.06936","citing_paper":"/paper/2506.23082"},"observation_digest":"sha256:2d99baf0df3787698801b1180b2dd49291605cbe38ee7c1d6ba4782118302f31","observation_id":"e42408a4-7f33-49e4-9e55-56d394359bcd","resolution":{"observed_at":"2026-08-06T22:16:56.511072Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.06936","last_updated":"2025-04-09T14:41:20Z","snapshot_observed_at":"2026-08-16T12:42:40.449655Z","submitted_at":"2025-04-09T14:41:20Z","title":"On Macdonald expansions of $q$-chromatic symmetric functions and the Stanley-Stembridge Conjecture","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.06936","snapshot_observed_at":"2026-08-06T21:36:16.398705Z","title":"Griffin, Anton Mellit, Marino Romero, Kevin Weigl, and Joshua Jeishing Wen","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.00766","last_updated":"2025-07-01T14:06:58Z","snapshot_observed_at":"2026-08-14T02:21:56.509946Z","submitted_at":"2025-07-01T14:06:58Z","title":"A tableaux formula for $q$-rook numbers","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-06T21:36:16.398705Z"},"links":{"cited_paper":"/paper/2504.06936","citing_paper":"/paper/2507.00766"},"observation_digest":"sha256:ebe7f09462a863af28673fb8c7e70032ace0617fa0440daca7ee5f84e6689ffb","observation_id":"6ba5e568-477a-4ca0-b918-810cce9d6eea","resolution":{"observed_at":"2026-08-06T21:36:16.398705Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.06936","last_updated":"2025-04-09T14:41:20Z","snapshot_observed_at":"2026-08-16T12:42:40.449655Z","submitted_at":"2025-04-09T14:41:20Z","title":"On Macdonald expansions of $q$-chromatic symmetric functions and the Stanley-Stembridge Conjecture","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.06936","snapshot_observed_at":"2026-08-05T11:32:39.035556Z","title":"Griffin, Anton Mellit, Marino Romero, Kevin Weigl, and Joshua Jeishing Wen","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.02841","last_updated":"2026-07-31T22:16:29Z","snapshot_observed_at":"2026-08-19T20:00:28.248770Z","submitted_at":"2025-09-02T21:20:53Z","title":"Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:39.035556Z"},"links":{"cited_paper":"/paper/2504.06936","citing_paper":"/paper/2509.02841"},"observation_digest":"sha256:4b4981a55b09db9a1ce57dd8b9a2dc27cff00fced3c12dac505a04e4e22abbe3","observation_id":"85be47cd-fb04-4f2b-9017-f7f5460b565d","resolution":{"observed_at":"2026-08-05T11:32:39.035556Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.06936","last_updated":"2025-04-09T14:41:20Z","snapshot_observed_at":"2026-08-16T12:42:40.449655Z","submitted_at":"2025-04-09T14:41:20Z","title":"On Macdonald expansions of $q$-chromatic symmetric functions and the Stanley-Stembridge Conjecture","version":1},"cited_work":{"arxiv_id":"2504.06936","doi":"10.48550/arxiv.2504.06936","metadata_source":"pith","pith_arxiv_id":"2504.06936","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"On Macdonald expansions of $q$-chromatic symmetric functions and the Stanley-Stembridge Conjecture","venue":"math.CO","work_id":"5e706d53-67f8-4136-9a2c-1e5729ff464e","year":2025},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-01T07:18:28.743545Z"},"links":{"cited_paper":"/paper/2504.06936","citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:4ecfa116afee110633f2d3371c67d25ea615e0373be373cf32b1ce767e41c880","observation_id":"f06af8b8-78ef-4b40-a8e5-5b06cc7dd57f","resolution":{"observed_at":"2026-08-01T07:24:15.194936Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-01T07:38:19.068509+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-01T07:38:19.068509+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.06936","last_updated":"2025-04-09T14:41:20Z","snapshot_observed_at":"2026-08-16T12:42:40.449655Z","submitted_at":"2025-04-09T14:41:20Z","title":"On Macdonald expansions of $q$-chromatic symmetric functions and the Stanley-Stembridge Conjecture","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.06936","snapshot_observed_at":"2026-08-03T01:54:15.149510Z","title":"arXiv e-prints , keywords =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21508","last_updated":"2026-07-31T14:14:31Z","snapshot_observed_at":"2026-08-19T19:08:00.649158Z","submitted_at":"2026-07-23T16:54:51Z","title":"Chromatic symmetric functions of claw-free graphs are not Schur positive","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-03T01:54:15.149510Z"},"links":{"cited_paper":"/paper/2504.06936","citing_paper":"/paper/2607.21508"},"observation_digest":"sha256:c5d40c76d6f2ba5486e803bb376fdac335e67bb1921525ea3767cd2f90508443","observation_id":"ae5b32c4-9e3b-461e-bf2c-e38099f4286c","resolution":{"observed_at":"2026-08-03T01:54:15.149510Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2504.06936/citation-record","integrity":"/paper/2504.06936/integrity","json":"/paper/2504.06936/citation-record.json","paper":"/paper/2504.06936"},"outbound":[],"paper":{"arxiv_id":"2504.06936","last_updated":"2025-04-09T14:41:20Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-16T12:42:40.449655Z","submitted_at":"2025-04-09T14:41:20Z","title":"On Macdonald expansions of $q$-chromatic symmetric functions and the Stanley-Stembridge Conjecture"},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2504.06936."}