{"as_of":"2026-08-08T07:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1fe83f95c60246e04b376b6531f4f7ecac58f210565dcbf37220803b6e019c53","coverage":[{"denominator":18,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":18,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T18:29:15.058860Z","state":"measured"},{"denominator":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2509.10047/citation-record","integrity":"/paper/2509.10047/integrity","json":"/paper/2509.10047/citation-record.json","paper":"/paper/2509.10047"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T18:29:14.999550Z","title":"Abe, Plus-one generated and next to free arrangements of hy- perplanes.Int","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.10047","last_updated":"2025-09-12T08:23:23Z","snapshot_observed_at":"2026-08-07T16:57:22.255297Z","submitted_at":"2025-09-12T08:23:23Z","title":"Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T18:29:14.999550Z"},"links":{"citing_paper":"/paper/2509.10047"},"observation_digest":"sha256:bbd6284c5cbaa7ba30189df7fc04ed36e60c28dd0a6d9133cc96a90bc7bfbb45","observation_id":"cf868b29-0741-4dca-ad04-ee9899925a2e","resolution":{"observed_at":"2026-08-04T18:29:14.999550Z","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":"2026-08-04T18:29:15.003621Z","title":"Abe, Addition-deletion theorems for the Solomon-Terao poly- nomials and B-sequences of hyperplane arrangements.Math","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.10047","last_updated":"2025-09-12T08:23:23Z","snapshot_observed_at":"2026-08-07T16:57:22.255297Z","submitted_at":"2025-09-12T08:23:23Z","title":"Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T18:29:15.003621Z"},"links":{"citing_paper":"/paper/2509.10047"},"observation_digest":"sha256:0bfa1fb92497a1a64c725b5043dec4f8ddee834c6e14d00325f12f6443a7c634","observation_id":"b142c244-698c-4914-ad55-3f44895b5137","resolution":{"observed_at":"2026-08-04T18:29:15.003621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.14902","last_updated":"2025-04-21T07:16:01Z","snapshot_observed_at":"2026-08-07T16:00:39.731990Z","submitted_at":"2025-04-21T07:16:01Z","title":"Tame arrangements","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.14902","snapshot_observed_at":"2026-08-04T18:29:15.007027Z","title":"Abe, Tame arrangements","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.10047","last_updated":"2025-09-12T08:23:23Z","snapshot_observed_at":"2026-08-07T16:57:22.255297Z","submitted_at":"2025-09-12T08:23:23Z","title":"Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T18:29:15.007027Z"},"links":{"cited_paper":"/paper/2504.14902","citing_paper":"/paper/2509.10047"},"observation_digest":"sha256:4e8b0b29e47d5b3c5645a157c39708f8abf69dbcd8cec2450bb69f0cbf9ac86c","observation_id":"068e4b99-2448-4f74-9491-872a9ef5a62b","resolution":{"observed_at":"2026-08-04T18:29:15.007027Z","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":"2026-08-04T18:29:15.011474Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.10047","last_updated":"2025-09-12T08:23:23Z","snapshot_observed_at":"2026-08-07T16:57:22.255297Z","submitted_at":"2025-09-12T08:23:23Z","title":"Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T18:29:15.011474Z"},"links":{"citing_paper":"/paper/2509.10047"},"observation_digest":"sha256:0e05039084481e733ae95bf937a1b601ed8f20bbc68d3d68108e71700f657d3b","observation_id":"8aa53dfa-a97e-44a0-aa13-55d3f1cb65a8","resolution":{"observed_at":"2026-08-04T18:29:15.011474Z","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":"2026-08-04T18:29:15.015381Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.10047","last_updated":"2025-09-12T08:23:23Z","snapshot_observed_at":"2026-08-07T16:57:22.255297Z","submitted_at":"2025-09-12T08:23:23Z","title":"Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T18:29:15.015381Z"},"links":{"citing_paper":"/paper/2509.10047"},"observation_digest":"sha256:ed54b4d6aea1aca7ca6d673af4e7cc416b0f49d1fabd7997dc02babb3b0b8e02","observation_id":"d3ca89b8-52d4-4087-b4d5-5f454f7b6c95","resolution":{"observed_at":"2026-08-04T18:29:15.015381Z","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":"2026-08-04T18:29:15.018667Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2509.10047","last_updated":"2025-09-12T08:23:23Z","snapshot_observed_at":"2026-08-07T16:57:22.255297Z","submitted_at":"2025-09-12T08:23:23Z","title":"Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T18:29:15.018667Z"},"links":{"citing_paper":"/paper/2509.10047"},"observation_digest":"sha256:706ff7ae7ae26541e212cab1b8ff0120156d9118f39e195161bc9af99d851292","observation_id":"7fd8a1f4-dd16-420c-9208-33052ec1b3bf","resolution":{"observed_at":"2026-08-04T18:29:15.018667Z","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":"2026-08-04T18:29:15.022703Z","title":"Angarone, P","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.10047","last_updated":"2025-09-12T08:23:23Z","snapshot_observed_at":"2026-08-07T16:57:22.255297Z","submitted_at":"2025-09-12T08:23:23Z","title":"Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T18:29:15.022703Z"},"links":{"citing_paper":"/paper/2509.10047"},"observation_digest":"sha256:f35c9dd333e2e292c1bd0dcda4652026d810584fb31035306ce768b58b6f7503","observation_id":"8e364641-54e9-4e2f-aa71-69042914afab","resolution":{"observed_at":"2026-08-04T18:29:15.022703Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2202.01462","last_updated":"2024-10-14T07:24:08Z","snapshot_observed_at":"2026-07-06T12:34:03.763785Z","submitted_at":"2022-02-03T08:40:00Z","title":"Hyperplane Arrangements Satisfy (un)Twisted Logarithmic Comparison Theorems, Applications to $\\mathscr{D}_{X}$-modules","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.01462","snapshot_observed_at":"2026-08-04T18:29:15.025984Z","title":"Bath, Hyperplane arrangements satsify (un)twisted log- arithmic comparison theorems, applications toD X-modules","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.10047","last_updated":"2025-09-12T08:23:23Z","snapshot_observed_at":"2026-08-07T16:57:22.255297Z","submitted_at":"2025-09-12T08:23:23Z","title":"Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T18:29:15.025984Z"},"links":{"cited_paper":"/paper/2202.01462","citing_paper":"/paper/2509.10047"},"observation_digest":"sha256:3ad1200d7e2daec4aa6a06bd287b9c05ce2c36a9141e90c746d3fce668d3837a","observation_id":"bdd90289-9b6c-4335-bf10-c32b78e252a1","resolution":{"observed_at":"2026-08-04T18:29:15.025984Z","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":"2026-08-04T18:29:15.029308Z","title":"Derksen and J","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2509.10047","last_updated":"2025-09-12T08:23:23Z","snapshot_observed_at":"2026-08-07T16:57:22.255297Z","submitted_at":"2025-09-12T08:23:23Z","title":"Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T18:29:15.029308Z"},"links":{"citing_paper":"/paper/2509.10047"},"observation_digest":"sha256:2d6c10cf8acfad2b01b2553a6a6530b341c5c1797627dafd83a1dbe1956a3b95","observation_id":"c77efeb4-d07d-4d57-98d3-c36474a5b9cb","resolution":{"observed_at":"2026-08-04T18:29:15.029308Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.24027","last_updated":"2026-08-02T22:35:44Z","snapshot_observed_at":"2026-08-07T12:35:26.660373Z","submitted_at":"2025-05-29T22:00:09Z","title":"A proof of the Fields Conjectures","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.24027","snapshot_observed_at":"2026-08-04T18:29:15.032389Z","title":"Murai, B","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.10047","last_updated":"2025-09-12T08:23:23Z","snapshot_observed_at":"2026-08-07T16:57:22.255297Z","submitted_at":"2025-09-12T08:23:23Z","title":"Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T18:29:15.032389Z"},"links":{"cited_paper":"/paper/2505.24027","citing_paper":"/paper/2509.10047"},"observation_digest":"sha256:a9b498b55088dbe73c216dcb138027d5fc055a92047ba6197af604d5132697ac","observation_id":"79ddd3e4-41b3-4d26-800e-c21f10d87da2","resolution":{"observed_at":"2026-08-04T18:29:15.032389Z","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":"2026-08-04T18:29:15.036539Z","title":"Orlik and L","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2509.10047","last_updated":"2025-09-12T08:23:23Z","snapshot_observed_at":"2026-08-07T16:57:22.255297Z","submitted_at":"2025-09-12T08:23:23Z","title":"Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T18:29:15.036539Z"},"links":{"citing_paper":"/paper/2509.10047"},"observation_digest":"sha256:a6987c95c865089823ec5e64de839975335b70a58c867693b9393ac25c85170b","observation_id":"7db3a9b7-aacf-4b0d-98c3-5825ae4342eb","resolution":{"observed_at":"2026-08-04T18:29:15.036539Z","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":"2026-08-04T18:29:15.039703Z","title":"Orlik and H","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2509.10047","last_updated":"2025-09-12T08:23:23Z","snapshot_observed_at":"2026-08-07T16:57:22.255297Z","submitted_at":"2025-09-12T08:23:23Z","title":"Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T18:29:15.039703Z"},"links":{"citing_paper":"/paper/2509.10047"},"observation_digest":"sha256:ae5c63bff268bc43944673f53df07b4da7b907a64a1cbc207c3c8e90df87de07","observation_id":"4866fd21-5f4b-46b6-98e9-ab34ed932af2","resolution":{"observed_at":"2026-08-04T18:29:15.039703Z","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":"2026-08-04T18:29:15.042923Z","title":"Rose and H","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2509.10047","last_updated":"2025-09-12T08:23:23Z","snapshot_observed_at":"2026-08-07T16:57:22.255297Z","submitted_at":"2025-09-12T08:23:23Z","title":"Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T18:29:15.042923Z"},"links":{"citing_paper":"/paper/2509.10047"},"observation_digest":"sha256:0e6261db9d573426ca9e58a7e8f89626138e1baa15b818a2f6b2add56dab2f68","observation_id":"b3bb90c2-facd-4928-8426-15ec453e82b8","resolution":{"observed_at":"2026-08-04T18:29:15.042923Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1902.03838","last_updated":"2019-02-11T12:10:09Z","snapshot_observed_at":"2026-07-06T07:32:19.611388Z","submitted_at":"2019-02-11T12:10:09Z","title":"Degeneration of pole order spectral sequences for hyperplane arrangements of 4 variables","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1902.03838","snapshot_observed_at":"2026-08-04T18:29:15.046035Z","title":"Saito, Degeneration of pole order spectral sequences for hyper- plane arrangements of 4-variables","venue":null,"work_id":null,"year":1902},"citing_paper":{"arxiv_id":"2509.10047","last_updated":"2025-09-12T08:23:23Z","snapshot_observed_at":"2026-08-07T16:57:22.255297Z","submitted_at":"2025-09-12T08:23:23Z","title":"Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T18:29:15.046035Z"},"links":{"cited_paper":"/paper/1902.03838","citing_paper":"/paper/2509.10047"},"observation_digest":"sha256:65d14787c8ee9dc0f60a0e4cd0b1e9c0baa5497461cf859a8eb74b0d60f2600a","observation_id":"7f6d695b-0f6e-4a59-b3b8-195607d6935f","resolution":{"observed_at":"2026-08-04T18:29:15.046035Z","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":"2026-08-04T18:29:15.049337Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2509.10047","last_updated":"2025-09-12T08:23:23Z","snapshot_observed_at":"2026-08-07T16:57:22.255297Z","submitted_at":"2025-09-12T08:23:23Z","title":"Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T18:29:15.049337Z"},"links":{"citing_paper":"/paper/2509.10047"},"observation_digest":"sha256:b5a281962be54918a69dcf99e18aed997db2224a8194b740698c197492686ebf","observation_id":"e54cba9f-6b6c-44f6-a830-9200c7861907","resolution":{"observed_at":"2026-08-04T18:29:15.049337Z","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":"2026-08-04T18:29:15.052255Z","title":"Solomon and H","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2509.10047","last_updated":"2025-09-12T08:23:23Z","snapshot_observed_at":"2026-08-07T16:57:22.255297Z","submitted_at":"2025-09-12T08:23:23Z","title":"Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T18:29:15.052255Z"},"links":{"citing_paper":"/paper/2509.10047"},"observation_digest":"sha256:f54a2a74f9cd9afcec8f63e25ea0ce5d3cdd7dbddfba4079a6e87accb560b6d1","observation_id":"e75895de-0384-4dcc-9726-7f2ae4ec7243","resolution":{"observed_at":"2026-08-04T18:29:15.052255Z","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":"2026-08-04T18:29:15.055567Z","title":"Terao, Generalized exponents of a free arrangement of hyper- planes and Shephard-Todd-Brieskorn formula.Invent","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2509.10047","last_updated":"2025-09-12T08:23:23Z","snapshot_observed_at":"2026-08-07T16:57:22.255297Z","submitted_at":"2025-09-12T08:23:23Z","title":"Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T18:29:15.055567Z"},"links":{"citing_paper":"/paper/2509.10047"},"observation_digest":"sha256:98c2c7fa3c3aef98849c7b1d21268bd9317089bc8da5712957eb38928190057c","observation_id":"ae8c6bfa-5cec-4f68-9925-282b27bc66b6","resolution":{"observed_at":"2026-08-04T18:29:15.055567Z","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":"2026-08-04T18:29:15.058860Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2509.10047","last_updated":"2025-09-12T08:23:23Z","snapshot_observed_at":"2026-08-07T16:57:22.255297Z","submitted_at":"2025-09-12T08:23:23Z","title":"Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T18:29:15.058860Z"},"links":{"citing_paper":"/paper/2509.10047"},"observation_digest":"sha256:475a9ad5b57cfd1d5a8037fc1ed0699063a16a49394963b62ce6c763873b9b01","observation_id":"55ac5e93-96e3-4afa-aa00-c7df7280d1a5","resolution":{"observed_at":"2026-08-04T18:29:15.058860Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2509.10047","last_updated":"2025-09-12T08:23:23Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-07T16:57:22.255297Z","submitted_at":"2025-09-12T08:23:23Z","title":"Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements"},"reference_resolution":{"displayed":18,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":18,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":18},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2509.10047."}