{"as_of":"2026-08-12T10:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f07ec7482493cdb8c002f3625e2f7dccd1e2aaceab571516b92e96e6709c7ccc","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":"2026-08-12T06:34:41.77262+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":"2026-06-30T23:24:13.128059Z","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":"2026-06-30T23:25:07.113183Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.19080","last_updated":"2025-07-25T09:06:15Z","snapshot_observed_at":"2026-08-10T11:27:38.364731Z","submitted_at":"2025-07-25T09:06:15Z","title":"On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges","version":1},"cited_work":{"arxiv_id":"2507.19080","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.19080","snapshot_observed_at":"2026-06-30T23:25:07.113183Z","title":"Evans, P","venue":null,"work_id":"41a7a9cd-fbd4-42a5-a3c4-0789aa2a748e","year":2025},"citing_paper":{"arxiv_id":"2603.04295","last_updated":"2026-05-13T10:14:56Z","snapshot_observed_at":"2026-08-07T11:32:16.334881Z","submitted_at":"2026-03-04T17:12:06Z","title":"Plane geometry of $q$-rationals and Springborn Operations","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-15T16:42:25.266082Z"},"links":{"cited_paper":"/paper/2507.19080","citing_paper":"/paper/2603.04295"},"observation_digest":"sha256:09c51b32e3a009942a29cadb8652b1da6d43ef3c5de17b13c6a2d6604223266b","observation_id":"911f2897-1b40-4a51-9bc7-23bdb237bfe4","resolution":{"observed_at":"2026-05-15T16:46:18.312767Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.19080","last_updated":"2025-07-25T09:06:15Z","snapshot_observed_at":"2026-08-10T11:27:38.364731Z","submitted_at":"2025-07-25T09:06:15Z","title":"On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges","version":1},"cited_work":{"arxiv_id":"2507.19080","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.19080","snapshot_observed_at":"2026-06-30T23:25:07.113183Z","title":"Evans, P","venue":null,"work_id":"41a7a9cd-fbd4-42a5-a3c4-0789aa2a748e","year":2025},"citing_paper":{"arxiv_id":"2604.17069","last_updated":"2026-06-08T12:54:11Z","snapshot_observed_at":"2026-08-02T11:48:59.828239Z","submitted_at":"2026-04-18T17:06:37Z","title":"Wug-snake graphs and Markov numbers of matrix semigroups","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-10T06:26:20.988230Z"},"links":{"cited_paper":"/paper/2507.19080","citing_paper":"/paper/2604.17069"},"observation_digest":"sha256:79acf5799374645f6583c1cbf2cf57e12aa993d0fc2cad72d9f5eecb9b55efdf","observation_id":"33e850fd-8460-4188-a3bc-bbdc7bced75b","resolution":{"observed_at":"2026-05-10T06:26:27.010856Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.19080","last_updated":"2025-07-25T09:06:15Z","snapshot_observed_at":"2026-08-10T11:27:38.364731Z","submitted_at":"2025-07-25T09:06:15Z","title":"On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges","version":1},"cited_work":{"arxiv_id":"2507.19080","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.19080","snapshot_observed_at":"2026-06-30T23:25:07.113183Z","title":"Evans, P","venue":null,"work_id":"41a7a9cd-fbd4-42a5-a3c4-0789aa2a748e","year":2025},"citing_paper":{"arxiv_id":"2605.04982","last_updated":"2026-06-08T07:15:42Z","snapshot_observed_at":"2026-07-06T23:17:38.226365Z","submitted_at":"2026-05-06T14:35:11Z","title":"Cluster Expansions from Punctured Orbifolds","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-08T16:57:25.135312Z"},"links":{"cited_paper":"/paper/2507.19080","citing_paper":"/paper/2605.04982"},"observation_digest":"sha256:7bded16b9cb8f7423408a89b42c3d8127174e655d101a8f7b88d6fcbbc679f42","observation_id":"5161228a-3e2f-4f20-8963-bb350527a989","resolution":{"observed_at":"2026-05-11T17:56:06.298047Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.19080","last_updated":"2025-07-25T09:06:15Z","snapshot_observed_at":"2026-08-10T11:27:38.364731Z","submitted_at":"2025-07-25T09:06:15Z","title":"On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges","version":1},"cited_work":{"arxiv_id":"2507.19080","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.19080","snapshot_observed_at":"2026-06-30T23:25:07.113183Z","title":"Evans, P","venue":null,"work_id":"41a7a9cd-fbd4-42a5-a3c4-0789aa2a748e","year":2025},"citing_paper":{"arxiv_id":"2605.04982","last_updated":"2026-06-08T07:15:42Z","snapshot_observed_at":"2026-07-06T23:17:38.226365Z","submitted_at":"2026-05-06T14:35:11Z","title":"Cluster Expansions from Punctured Orbifolds","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-30T23:24:13.128059Z"},"links":{"cited_paper":"/paper/2507.19080","citing_paper":"/paper/2605.04982"},"observation_digest":"sha256:4058e7506a4b8db5232459d136dddd4741594c8664f751413cc968d7aa5cc883","observation_id":"cad99e27-82f8-40f3-a496-0a9f95ad847d","resolution":{"observed_at":"2026-06-30T23:25:07.115957Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2507.19080/citation-record","integrity":"/paper/2507.19080/integrity","json":"/paper/2507.19080/citation-record.json","paper":"/paper/2507.19080"},"outbound":[],"paper":{"arxiv_id":"2507.19080","last_updated":"2025-07-25T09:06:15Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-10T11:27:38.364731Z","submitted_at":"2025-07-25T09:06:15Z","title":"On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2507.19080."}