{"as_of":"2026-08-20T08:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:694e679d61bbbdeec9b8f84a42df834a06b31a05ad1bfc0c5bdf4bc3771961be","coverage":[{"denominator":13,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":13,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T10:02:10.316583Z","state":"measured"},{"denominator":13,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":13,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2608.02303/citation-record","integrity":"/paper/2608.02303/integrity","json":"/paper/2608.02303/citation-record.json","paper":"/paper/2608.02303"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T10:02:09.179874Z","title":"Braden, J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02303","last_updated":"2026-08-03T14:28:37Z","snapshot_observed_at":"2026-08-20T05:33:15.307178Z","submitted_at":"2026-08-03T14:28:37Z","title":"Real-rootedness of Kazhdan--Lusztig and $Z$-polynomials of thagomizer matroids and graphic matroids of $K_{2,n}$","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T10:02:09.179874Z"},"links":{"citing_paper":"/paper/2608.02303"},"observation_digest":"sha256:034e4c10462df23b0c128da059c692ef5a978c936cb5f896a5b8a575378c20f8","observation_id":"b03fce2b-8747-45ac-ad2f-a60f4a61de37","resolution":{"observed_at":"2026-08-04T10:02:09.179874Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T10:02:09.262108Z","title":"Braden and N","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.02303","last_updated":"2026-08-03T14:28:37Z","snapshot_observed_at":"2026-08-20T05:33:15.307178Z","submitted_at":"2026-08-03T14:28:37Z","title":"Real-rootedness of Kazhdan--Lusztig and $Z$-polynomials of thagomizer matroids and graphic matroids of $K_{2,n}$","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T10:02:09.262108Z"},"links":{"citing_paper":"/paper/2608.02303"},"observation_digest":"sha256:6025a7c7ab717c883aeda3f52b85308b546f1d7d44c640725200e1465b262289","observation_id":"190ed55f-368d-42d9-9659-d0efb09f3813","resolution":{"observed_at":"2026-08-04T10:02:09.262108Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.24186","last_updated":"2026-07-28T21:12:05Z","snapshot_observed_at":"2026-08-19T09:46:13.775939Z","submitted_at":"2026-07-27T09:07:02Z","title":"Kazhdan-Lusztig polynomials of matroids need not be unimodal","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.24186","snapshot_observed_at":"2026-08-04T10:02:09.323063Z","title":"Cheng and S","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.02303","last_updated":"2026-08-03T14:28:37Z","snapshot_observed_at":"2026-08-20T05:33:15.307178Z","submitted_at":"2026-08-03T14:28:37Z","title":"Real-rootedness of Kazhdan--Lusztig and $Z$-polynomials of thagomizer matroids and graphic matroids of $K_{2,n}$","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T10:02:09.323063Z"},"links":{"cited_paper":"/paper/2607.24186","citing_paper":"/paper/2608.02303"},"observation_digest":"sha256:fcacbc92ec4a246fe7c4984b995af8aaf1969722dc4d6beb56647c489243a77c","observation_id":"3336d697-2450-4078-8e03-c70df0a4b046","resolution":{"observed_at":"2026-08-04T10:02:09.323063Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T10:02:09.326643Z","title":"Elias, N","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2608.02303","last_updated":"2026-08-03T14:28:37Z","snapshot_observed_at":"2026-08-20T05:33:15.307178Z","submitted_at":"2026-08-03T14:28:37Z","title":"Real-rootedness of Kazhdan--Lusztig and $Z$-polynomials of thagomizer matroids and graphic matroids of $K_{2,n}$","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T10:02:09.326643Z"},"links":{"citing_paper":"/paper/2608.02303"},"observation_digest":"sha256:037eea266ceb7ad3c310f06bcda4d6ccadeb77b656030ad7bbbc6605df2d2e71","observation_id":"a5d05fc4-773b-4d94-b20d-274f9fa949a1","resolution":{"observed_at":"2026-08-04T10:02:09.326643Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T10:02:09.350488Z","title":"Ferroni, G","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.02303","last_updated":"2026-08-03T14:28:37Z","snapshot_observed_at":"2026-08-20T05:33:15.307178Z","submitted_at":"2026-08-03T14:28:37Z","title":"Real-rootedness of Kazhdan--Lusztig and $Z$-polynomials of thagomizer matroids and graphic matroids of $K_{2,n}$","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T10:02:09.350488Z"},"links":{"citing_paper":"/paper/2608.02303"},"observation_digest":"sha256:da1716a896e5c7ddcadf520254a97058ef2fba6ce07c5f1d3092aa11c341f341","observation_id":"9e9be15c-7560-49b4-888e-73f08f976849","resolution":{"observed_at":"2026-08-04T10:02:09.350488Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T10:02:09.434157Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.02303","last_updated":"2026-08-03T14:28:37Z","snapshot_observed_at":"2026-08-20T05:33:15.307178Z","submitted_at":"2026-08-03T14:28:37Z","title":"Real-rootedness of Kazhdan--Lusztig and $Z$-polynomials of thagomizer matroids and graphic matroids of $K_{2,n}$","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T10:02:09.434157Z"},"links":{"citing_paper":"/paper/2608.02303"},"observation_digest":"sha256:66af55480314383a60a70614794f825160d4cd8b9b42c119c738132a85ed0696","observation_id":"927430b3-6163-4f4f-bc51-903b58dee3b8","resolution":{"observed_at":"2026-08-04T10:02:09.434157Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T10:02:09.561741Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2608.02303","last_updated":"2026-08-03T14:28:37Z","snapshot_observed_at":"2026-08-20T05:33:15.307178Z","submitted_at":"2026-08-03T14:28:37Z","title":"Real-rootedness of Kazhdan--Lusztig and $Z$-polynomials of thagomizer matroids and graphic matroids of $K_{2,n}$","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T10:02:09.561741Z"},"links":{"citing_paper":"/paper/2608.02303"},"observation_digest":"sha256:9b678614675ab2941e91a8b1e957ed00fe1d0854fd590e290a375ed4670810ab","observation_id":"9cefc5b3-a9da-4211-9905-757963c2e75b","resolution":{"observed_at":"2026-08-04T10:02:09.561741Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T10:02:09.728216Z","title":"Gedeon, N","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2608.02303","last_updated":"2026-08-03T14:28:37Z","snapshot_observed_at":"2026-08-20T05:33:15.307178Z","submitted_at":"2026-08-03T14:28:37Z","title":"Real-rootedness of Kazhdan--Lusztig and $Z$-polynomials of thagomizer matroids and graphic matroids of $K_{2,n}$","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T10:02:09.728216Z"},"links":{"citing_paper":"/paper/2608.02303"},"observation_digest":"sha256:9a973f7665423ccdeb12c0e60cec9b3535aa763c9c675a9b987b019bffa56a45","observation_id":"5a3425a0-8f63-477c-99ed-d2a9f1ed84e0","resolution":{"observed_at":"2026-08-04T10:02:09.728216Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T10:02:09.835377Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2608.02303","last_updated":"2026-08-03T14:28:37Z","snapshot_observed_at":"2026-08-20T05:33:15.307178Z","submitted_at":"2026-08-03T14:28:37Z","title":"Real-rootedness of Kazhdan--Lusztig and $Z$-polynomials of thagomizer matroids and graphic matroids of $K_{2,n}$","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T10:02:09.835377Z"},"links":{"citing_paper":"/paper/2608.02303"},"observation_digest":"sha256:bf8e5f90350a3215bd136e91e922ca9944efed3a15aa2ac8512b3a6b97180d33","observation_id":"abcb9c22-d4a4-4171-9347-d099162bb044","resolution":{"observed_at":"2026-08-04T10:02:09.835377Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T10:02:09.949584Z","title":"Lakatos and L","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2608.02303","last_updated":"2026-08-03T14:28:37Z","snapshot_observed_at":"2026-08-20T05:33:15.307178Z","submitted_at":"2026-08-03T14:28:37Z","title":"Real-rootedness of Kazhdan--Lusztig and $Z$-polynomials of thagomizer matroids and graphic matroids of $K_{2,n}$","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T10:02:09.949584Z"},"links":{"citing_paper":"/paper/2608.02303"},"observation_digest":"sha256:b4ac009c6bbd2a4e84b7ec71805ca5e01894bcb737e4aa9205243a4c9cd8cc11","observation_id":"9117a24e-eae3-469d-83fb-bb841e365d4f","resolution":{"observed_at":"2026-08-04T10:02:09.949584Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T10:02:10.089828Z","title":"Proudfoot, Y","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2608.02303","last_updated":"2026-08-03T14:28:37Z","snapshot_observed_at":"2026-08-20T05:33:15.307178Z","submitted_at":"2026-08-03T14:28:37Z","title":"Real-rootedness of Kazhdan--Lusztig and $Z$-polynomials of thagomizer matroids and graphic matroids of $K_{2,n}$","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T10:02:10.089828Z"},"links":{"citing_paper":"/paper/2608.02303"},"observation_digest":"sha256:a5e430b2e8c0a93ab386ba908aeaa0ae3524b4e7bd7e7748a34aafd8308193d7","observation_id":"22520f11-e4f4-4de2-b75c-e2961bf0d66a","resolution":{"observed_at":"2026-08-04T10:02:10.089828Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T10:02:10.240980Z","title":"Vella, Pattern avoidance in permutations: linear and cyclic orders,Electron","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2608.02303","last_updated":"2026-08-03T14:28:37Z","snapshot_observed_at":"2026-08-20T05:33:15.307178Z","submitted_at":"2026-08-03T14:28:37Z","title":"Real-rootedness of Kazhdan--Lusztig and $Z$-polynomials of thagomizer matroids and graphic matroids of $K_{2,n}$","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T10:02:10.240980Z"},"links":{"citing_paper":"/paper/2608.02303"},"observation_digest":"sha256:6633a9dd56d366ae53e5ac767d095fb834346b3aa81f2b4412e0c784d3357ce4","observation_id":"5b874f25-87f8-47f0-b604-7b7b14d1a2de","resolution":{"observed_at":"2026-08-04T10:02:10.240980Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T10:02:10.316583Z","title":"Wu and P","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.02303","last_updated":"2026-08-03T14:28:37Z","snapshot_observed_at":"2026-08-20T05:33:15.307178Z","submitted_at":"2026-08-03T14:28:37Z","title":"Real-rootedness of Kazhdan--Lusztig and $Z$-polynomials of thagomizer matroids and graphic matroids of $K_{2,n}$","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T10:02:10.316583Z"},"links":{"citing_paper":"/paper/2608.02303"},"observation_digest":"sha256:6ccbd9c5ae4260e37772e5d4dcb419d32ade588575a376a211c3a7cdd5d2c953","observation_id":"80c23f49-ab88-462e-b0fe-554dba3d9fda","resolution":{"observed_at":"2026-08-04T10:02:10.316583Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2608.02303","last_updated":"2026-08-03T14:28:37Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-20T05:33:15.307178Z","submitted_at":"2026-08-03T14:28:37Z","title":"Real-rootedness of Kazhdan--Lusztig and $Z$-polynomials of thagomizer matroids and graphic matroids of $K_{2,n}$"},"reference_resolution":{"displayed":13,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":13,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":13},"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 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2608.02303."}