{"as_of":"2026-08-20T11:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7d03ead74aca2d24ef9993a0f9aa3c29860d33c27531b9d994dc70ca9d261c37","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T21:15:56.543944Z","state":"measured"},{"denominator":24,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":24,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+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":"2026-06-29T11:44:30.308215Z","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":"2026-06-29T12:13:27.314649Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"cited_work":{"arxiv_id":"2507.01332","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.01332","snapshot_observed_at":"2026-06-29T12:13:27.314649Z","title":null,"venue":null,"work_id":"f268961c-db1e-4b4d-96d4-fe8f216ddd30","year":2024},"citing_paper":{"arxiv_id":"2603.25254","last_updated":"2026-05-12T02:34:28Z","snapshot_observed_at":"2026-08-17T01:52:32.004937Z","submitted_at":"2026-03-26T09:57:32Z","title":"Inverse Kazhdan--Lusztig polynomials of fan matroids","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-15T00:42:29.362086Z"},"links":{"cited_paper":"/paper/2507.01332","citing_paper":"/paper/2603.25254"},"observation_digest":"sha256:d1b16e510542c0c7eb818e6a5c5beac80f18bf7d1a725cb5417223b526db5959","observation_id":"3718e15d-64f3-4112-9c63-dc1f57fd6193","resolution":{"observed_at":"2026-05-15T00:43:24.458151Z","resolver_source":"arxiv_id","status":"verified_exact"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"cited_work":{"arxiv_id":"2507.01332","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.01332","snapshot_observed_at":"2026-06-29T12:13:27.314649Z","title":null,"venue":null,"work_id":"f268961c-db1e-4b4d-96d4-fe8f216ddd30","year":2024},"citing_paper":{"arxiv_id":"2605.28474","last_updated":"2026-05-27T13:38:02Z","snapshot_observed_at":"2026-08-08T00:46:00.891960Z","submitted_at":"2026-05-27T13:38:02Z","title":"Dual Chow polynomials of matroids and posets","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-29T11:44:30.308215Z"},"links":{"cited_paper":"/paper/2507.01332","citing_paper":"/paper/2605.28474"},"observation_digest":"sha256:ce907b5d32898143305c8ac764ff61277e55a1b316ed8638424b2cfb56dd3fd1","observation_id":"32dca77c-3ddb-4bfd-85f1-178b5d6fbe25","resolution":{"observed_at":"2026-06-29T12:13:27.315883Z","resolver_source":"arxiv_id","status":"verified_exact"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2507.01332/citation-record","integrity":"/paper/2507.01332/integrity","json":"/paper/2507.01332/citation-record.json","paper":"/paper/2507.01332"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.788756Z","title":"Ardila and M","venue":null,"work_id":"11010b5d-cd9e-4ca6-b2a6-2a54dea95858","year":2023},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.459820Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:d820d57c17f03cba8ca23715dad887c8c41c706605c80867f1e97a9170691d52","observation_id":"cc6d348c-6ae8-41cf-92d3-9af5effe9929","resolution":{"observed_at":"2026-08-06T21:15:56.791478Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.779826Z","title":"B´ erczi, T","venue":null,"work_id":"050faa91-1755-4834-a345-3ab9f70e89ba","year":2023},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.464214Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:b7784c2e2947e1ec310f987de530639b9ec07d0c23c62dfa0985cba77e9d9580","observation_id":"276edf9d-4e72-480a-a9c0-aaef369d578b","resolution":{"observed_at":"2026-08-06T21:15:56.782999Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.06088","last_updated":"2026-06-27T20:49:00Z","snapshot_observed_at":"2026-08-17T17:19:33.757595Z","submitted_at":"2020-10-13T00:26:28Z","title":"Singular Hodge theory for combinatorial geometries","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.06088","snapshot_observed_at":"2026-08-06T21:15:56.468165Z","title":"Braden, J","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.468165Z"},"links":{"cited_paper":"/paper/2010.06088","citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:58a9f85dc64612c76af134d0f577525ffae4425065fcafcd6f9afa6a3d078692","observation_id":"3d2ca18d-3ed7-44e4-99a8-c0be0cb2c27a","resolution":{"observed_at":"2026-08-06T21:15:56.468165Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.771356Z","title":"Braden and A","venue":null,"work_id":"ab4e5407-724e-4db5-9ec7-7352b9dd1694","year":2020},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.472978Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:02d78bdae3be4c0548192c20aa1caf3070f9b0cd532a47b248b2f5ef9328000a","observation_id":"82696b52-80cf-4b1d-8a92-bba813d6a868","resolution":{"observed_at":"2026-08-06T21:15:56.774220Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.762699Z","title":"Elias, N","venue":null,"work_id":"0a836f3a-1a0f-4f14-8aba-bb1b6b40e3ab","year":2016},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.477200Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:beceead773f58adde74dcc338939c86e0b937ba76fed3738c29c7a4b1a8a7496","observation_id":"9d258f4c-9335-481b-9908-f7d739943476","resolution":{"observed_at":"2026-08-06T21:15:56.765442Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.753972Z","title":"Ferroni and M","venue":null,"work_id":"7b392ca5-7315-4361-b0b1-e9bca744874f","year":2024},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.481209Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:e2ae0193ef4ffe1294aaeffc9789051149cf7371363f065151700ceb207d36ef","observation_id":"5bb5a871-9e8c-431e-b291-58c308625d9d","resolution":{"observed_at":"2026-08-06T21:15:56.757021Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.745428Z","title":"Ferroni L, J","venue":null,"work_id":"84906bca-61dc-4d63-a538-9f00c2febaf2","year":2024},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.485275Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:c1bb91ef69153f790e09820299d2f7c4618f1511dcb3f00f744845659e90db03","observation_id":"8842f52d-72f2-4692-957f-ef8794b3528d","resolution":{"observed_at":"2026-08-06T21:15:56.748462Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.736907Z","title":"Ferroni, G","venue":null,"work_id":"690622f7-b6c2-44a7-83f0-fb6e294d7d58","year":2023},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.488928Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:6612a52b246e8578a73fafe5239d9104a1a201cd0cf9bd34604000a9114ac9f3","observation_id":"5deb2840-aed2-4ddb-a328-de709cf3d113","resolution":{"observed_at":"2026-08-06T21:15:56.739673Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.728094Z","title":"Ferroni and B","venue":null,"work_id":"0f0ea356-8fa2-4642-a558-fcea2358a1e3","year":2024},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.492948Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:d7bb8eadf30f014993aefbaa8e3df0893112adb2efad7966fb3d5e578b23914e","observation_id":"d9e9a4ca-8670-4612-9035-728224ba4131","resolution":{"observed_at":"2026-08-06T21:15:56.731048Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.718402Z","title":"Ferroni and L","venue":null,"work_id":"dbed773f-c2fb-4ca3-8fb9-00f7a070f812","year":2022},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.496535Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:fa7eb789fc68bd051b49c8069aa9150fe247c72a183a89b83d1cbfb18d806f9f","observation_id":"01d6a648-8760-4bbc-a3ff-914227a98754","resolution":{"observed_at":"2026-08-06T21:15:56.721351Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.710044Z","title":null,"venue":null,"work_id":"c1d3116f-8112-4c8f-ba4f-61c2816f2d56","year":2021},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.500191Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:cb4986a21f74e9c519713fc5af347fca317980cb7a1bca3e08535e87d2e89255","observation_id":"1801a25e-fbb6-43b8-bb5c-b1946a6805c3","resolution":{"observed_at":"2026-08-06T21:15:56.712739Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.701869Z","title":null,"venue":null,"work_id":"ac682350-0103-425f-a912-ad0776b4459c","year":2024},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.503641Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:96b09553bad33813739c5937f82c2882fbb9b7ac835f3cd26abdfed6cc98b0f7","observation_id":"f9335c80-26aa-4f87-8854-9d568591dbf3","resolution":{"observed_at":"2026-08-06T21:15:56.704600Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.693063Z","title":"Gao and M","venue":null,"work_id":"5584d941-cd73-4804-91d8-50734ebc6982","year":2021},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.507223Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:d6279a617cbb655114794d5aadfbce7893fd4c2fd944f35e110cc5cc28aaa946","observation_id":"aafd79df-4a9a-4b01-993c-9263b1ca9bcf","resolution":{"observed_at":"2026-08-06T21:15:56.695784Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.684531Z","title":null,"venue":null,"work_id":"8ebb452a-1efb-4abb-b97f-ae8b12f779fa","year":2027},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.511845Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:e8f8705cf704718342b09fe5d997e2a51e1627d7aae605bcf8816cbcbad20d8a","observation_id":"7e9799c0-5d07-4359-8864-34d06e4cce5c","resolution":{"observed_at":"2026-08-06T21:15:56.687537Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.675851Z","title":"Gedeon, N","venue":null,"work_id":"c3d89ab0-9a71-4fae-a3c0-0fa6dd7f4ef0","year":2017},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.515284Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:2e3a5a87246bbd702ab8ac6a033cc69c02b6072d177f6522cd0685f85e3a9986","observation_id":"2bc71070-8961-4675-bde9-8dca3cf8e684","resolution":{"observed_at":"2026-08-06T21:15:56.678736Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.666826Z","title":"Joswig and B","venue":null,"work_id":"0a140cd5-3df7-47f1-a344-0df6b793c997","year":2017},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.518791Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:6be19b68c97121faaf12d479b2a995e00ee679cb7271599182aa9991e84da68f","observation_id":"2fe94947-9a6d-4282-812f-4d223176fead","resolution":{"observed_at":"2026-08-06T21:15:56.669805Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.656899Z","title":"Mayhew, M","venue":null,"work_id":"b68e531e-28f0-4021-b7e1-c8bd73f00314","year":2011},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.523784Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:7afe73bbdc2804c4bcc3bb8fe906f8fd76299d47632d31c67f27bb781686133c","observation_id":"f8f9dffb-b6a5-4862-9576-75e553508e8f","resolution":{"observed_at":"2026-08-06T21:15:56.660029Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.647061Z","title":null,"venue":null,"work_id":"5ea84f2c-89b8-40b0-ac4f-2a22df62b290","year":2011},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.527900Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:1dcb9d01e917cf738858adbbaef1369cf50af9004875fe1556e7a294ad903dc6","observation_id":"6c29b3e5-9bf1-45ce-a3e9-69d495dc7a12","resolution":{"observed_at":"2026-08-06T21:15:56.650112Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.637310Z","title":"Proudfoot","venue":null,"work_id":"63cd8b68-884e-4bb2-b58c-e1b347fa8801","year":2018},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.531308Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:ca87564fbcaafc904a849b66f5323414104efbc8a24d16393b608c23a8b8c39f","observation_id":"f1748a0c-d86a-4fb6-86db-9134b692d7d8","resolution":{"observed_at":"2026-08-06T21:15:56.640563Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.627934Z","title":"Proudfoot, Y","venue":null,"work_id":"35af6380-31e3-4a73-bdf5-a6fdea55a56d","year":2018},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.535395Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:30a6953caeedf45a174498d7899d836fd7091635cd92242224d9fe01e4b34b9a","observation_id":"8d9af1c0-e20f-4a13-865a-4674343ea789","resolution":{"observed_at":"2026-08-06T21:15:56.631003Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.618399Z","title":null,"venue":null,"work_id":"432ef4b5-ad10-4f80-bc1c-61d78c158d68","year":1964},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.540471Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:b54c4977204fef80fe976386000dc4189acdc3d9e1d426bae68806ed643149c7","observation_id":"2744ce88-f34e-4a10-b074-ac3e96944ee8","resolution":{"observed_at":"2026-08-06T21:15:56.621330Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:15:56.607081Z","title":"Zaslavsky","venue":null,"work_id":"d62dfd62-62b3-4283-9c15-b61dce001451","year":1987},"citing_paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T21:15:56.543944Z"},"links":{"citing_paper":"/paper/2507.01332"},"observation_digest":"sha256:6bd3ff0c188acac12740af90dd50842308c3f7dc2dbfebdd3256a349bf08c157","observation_id":"c0b2a67d-9911-4cec-b6d2-22e722d4fa98","resolution":{"observed_at":"2026-08-06T21:15:56.611588Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.01332","last_updated":"2025-07-02T03:46:34Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-19T20:52:58.036321Z","submitted_at":"2025-07-02T03:46:34Z","title":"The inverse $Z$-polynomial of a matroid"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":0,"verified_fuzzy":16},"total_outbound_references":22},"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 22 of 22 outbound references and 2 inbound Pith citation observations for arXiv:2507.01332."}