{"as_of":"2026-08-12T15:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:20f3baf29c42418d25432f669bf04bc8f610d7e6c2e687987c781bc42b97b9e8","coverage":[{"denominator":29,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":29,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-12T06:47:35.599509Z","state":"measured"},{"denominator":29,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":29,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2607.02828/citation-record","integrity":"/paper/2607.02828/integrity","json":"/paper/2607.02828/citation-record.json","paper":"/paper/2607.02828"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:47:35.599509Z","title":"Andr´ eief","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:27d9025d346d90a21a945527f2dbcc8ef9b50de70a82208b93991bd894070474","observation_id":"86140ca0-ac9d-45a0-8b9f-b23291ade49f","resolution":{"observed_at":"2026-07-12T06:47:35.599509Z","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":"10.5281/zenodo.20427500","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Independent reproduction and convergence analysis of the CCM zeta spectral triple, June 2026","venue":"Zenodo (CERN European Organization for Nuclear Research)","work_id":"9901753c-1652-4fb8-98a4-698c4be08547","year":2026},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:6023254bf22225fd19cfc52f4e949bc6dfaec2daf4822d4bb9d623591917a0b2","observation_id":"c533e61c-3e57-40fe-8696-4256c3a24ef8","resolution":{"observed_at":"2026-07-12T06:48:33.871394Z","resolver_source":"doi","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":"0904.2602","last_updated":"2009-04-16T22:54:24Z","snapshot_observed_at":"2026-08-01T00:41:40.801812Z","submitted_at":"2009-04-16T22:54:24Z","title":"Cauchy Biorthogonal Polynomials","version":1},"cited_work":{"arxiv_id":"0904.2602","doi":null,"metadata_source":"pith","pith_arxiv_id":"0904.2602","snapshot_observed_at":"2026-07-12T06:48:33.836838Z","title":"Cauchy Biorthogonal Polynomials","venue":"math-ph","work_id":"7ac16109-915c-4bb0-a0ea-6de7b1d3659c","year":2009},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"cited_paper":"/paper/0904.2602","citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:9f8be7cab51026c96702c50cd9180bedb5ec7cfeb6d6331141338d3c18a253db","observation_id":"d21ebd89-249f-404a-b327-8ce3652ccffd","resolution":{"observed_at":"2026-07-12T06:48:33.838420Z","resolver_source":"local_arxiv","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:47:35.599509Z","title":"Remarks on Weil’s quadratic functional in the theory of prime numbers","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:73350da507e82fd4ead55ac8ac11bd154288d1278abd35ee732dc8ff72009d47","observation_id":"7577b42c-73cc-4929-a9b5-ff648addb293","resolution":{"observed_at":"2026-07-12T06:47:35.599509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2602.06199","last_updated":"2026-06-28T02:00:02Z","snapshot_observed_at":"2026-08-09T07:54:06.643281Z","submitted_at":"2026-02-05T21:20:20Z","title":"Explicit conditional bounds for $\\zeta(s)$ at the edge of the critical strip","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2602.06199","snapshot_observed_at":"2026-07-12T06:47:35.599509Z","title":"Explicit conditional bounds forζ(s) at the edge of the critical strip.arXiv:2602.06199, 2026.arXiv:2602.06199","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"cited_paper":"/paper/2602.06199","citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:7caeb9e29a9ad2f1f654fe6cadb675d27ac028abd1ea694f2dc046df3a82f9b2","observation_id":"f34a5489-9a45-4ceb-99ad-14140646f842","resolution":{"observed_at":"2026-07-12T06:47:35.599509Z","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":"2026-07-12T06:47:35.599509Z","title":"Trace formula in noncommutative geometry and the zeros of the Riemann zeta function.Selecta Mathematica (New Series), 5(1):29–106, 1999.doi:10.1007/s000290050042","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:f6b12414cb8131991e95d76021e9e6c6a5440b72c917afb93126c7f694a7763d","observation_id":"95f70120-bc7a-4437-ab2b-6d54bbc7e802","resolution":{"observed_at":"2026-07-12T06:47:35.599509Z","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":"2026-07-12T06:47:35.599509Z","title":"The Riemann hypothesis: Past, present and a letter through time.arXiv:2602.04022, 2026.arXiv:2602.04022","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:7370e6f7ef0e191325b0c6939dde01366f573abae1ea5696117ef6f2e3328d59","observation_id":"e4eea926-06f7-4490-a6f4-6644e5dc63e0","resolution":{"observed_at":"2026-07-12T06:47:35.599509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2006.13771","last_updated":"2020-06-24T14:35:52Z","snapshot_observed_at":"2026-08-11T22:14:21.725181Z","submitted_at":"2020-06-24T14:35:52Z","title":"Weil positivity and Trace formula, the archimedean place","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.13771","snapshot_observed_at":"2026-07-12T06:47:35.599509Z","title":"Weil positivity and trace formula, the archimedean place.Selecta Mathematica (New Series), 27(4):77, 2021.arXiv:2006.13771,doi:10.1007/s00029-021-00689-4","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"cited_paper":"/paper/2006.13771","citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:c0489d52fa9cb6f355ba2a6d34530ddae75443a3e1c4b9788c782c36b8ed8d60","observation_id":"c0ccde10-2ea0-4883-8a0c-69d00041104c","resolution":{"observed_at":"2026-07-12T06:47:35.599509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2106.01715","last_updated":"2021-06-03T09:34:32Z","snapshot_observed_at":"2026-07-06T11:15:33.102686Z","submitted_at":"2021-06-03T09:34:32Z","title":"Spectral Triples and Zeta-Cycles","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.01715","snapshot_observed_at":"2026-07-12T06:47:35.599509Z","title":"Spectral triples and zeta-cycles.L’Enseignement Math´ ematique, 69(1-2):93–148, 2023.arXiv:2106.01715,doi:10.4171/LEM/1049","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"cited_paper":"/paper/2106.01715","citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:0d8326f44447d291f1caef92847a14db9eaf1d55e94c64c0333ccc2a40e554b6","observation_id":"6a200274-30b8-481f-a67f-697da01b62f1","resolution":{"observed_at":"2026-07-12T06:47:35.599509Z","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":"2026-07-12T06:47:35.599509Z","title":"Zeta spectral triples.arXiv:2511.22755, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:1617ea0cdbc35b84d2005be1f3d99a1f50754eb54b20644b935a6514ff7f37e2","observation_id":"0d8c4d24-3015-4b57-9c76-074c25483f7a","resolution":{"observed_at":"2026-07-12T06:47:35.599509Z","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":"2026-07-12T06:47:35.599509Z","title":"van Suijlekom","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:1709ea629d069de00f7cadcbe2036e07844ce3fda8b8dd06437961faae17e3b2","observation_id":"29518265-fafe-4309-8a2f-974e5dd1ebe4","resolution":{"observed_at":"2026-07-12T06:47:35.599509Z","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":"10.5281/zenodo.20671635","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:48:33.806220Z","title":"Exact archimedean entries for truncated Weil forms: Closed-form implementation, a precision-stable library defect, and corrected deep spectra, June 2026","venue":null,"work_id":"8aea02b5-f47b-48a2-8ea6-8216c776ab3f","year":2026},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:3bfeb6e71352ac7d8cd6d65587faee75fd79027263658daa31b72256607455eb","observation_id":"b5aeae4c-e10b-459e-8927-fa0a574b39be","resolution":{"observed_at":"2026-07-12T06:48:33.810554Z","resolver_source":"doi","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":null,"cited_work":{"arxiv_id":null,"doi":"10.5281/zenodo.20710075","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:48:33.858809Z","title":"A Loewner divided-difference formula for the prime contribution in the localized Weil quadratic form, and a parity sign law, June 2026","venue":null,"work_id":"ba1bb85c-389f-4557-a36d-fc1f1216a43a","year":2026},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:fce06fb35ec6be3ed128506aac10219e3af56c2eb5d9398e9b8e3fb4b5f8ff44","observation_id":"9fdadfd3-ce06-43f4-9056-a73d9738262e","resolution":{"observed_at":"2026-07-12T06:48:33.860542Z","resolver_source":"doi","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":null,"cited_work":{"arxiv_id":null,"doi":"10.5281/zenodo.20737111","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:48:33.832433Z","title":"A Loewner/operator-monotone framework for the even-simplicity problem in the CCM spectral triple, June 2026","venue":null,"work_id":"0ea65b49-4678-4a88-9c06-439d96fe1d5a","year":2026},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:c27cb76c4e3932f9d920fc6451a922bc232b9a235a357db5adcc5ea85d533724","observation_id":"35c659cb-4fee-49bc-9ce6-3234979e56bf","resolution":{"observed_at":"2026-07-12T06:48:33.834255Z","resolver_source":"doi","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":null,"cited_work":{"arxiv_id":null,"doi":"10.5281/zenodo.20682834","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:48:33.814537Z","title":"The pole term is the only obstruction to Perron structure in the localized Weil quadratic form, June 2026","venue":null,"work_id":"4da53de6-ed7e-4106-b6b7-1d0f97198523","year":2026},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:c81e245f41d36d5533164c38720a9cdd8d1f50de934a4912aeaf58b881c7dabe","observation_id":"c21fa07b-2829-42fe-95b6-2d5e575610fc","resolution":{"observed_at":"2026-07-12T06:48:33.816096Z","resolver_source":"doi","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":null,"cited_work":{"arxiv_id":null,"doi":"10.5281/zenodo.20650146","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Quadrature sensitivity of deep spectra of truncated Weil forms, with corrections to two recent computational notes, June 2026","venue":"Zenodo (CERN European Organization for Nuclear Research)","work_id":"41009cd1-96b4-4e21-ac36-d7a146ec069b","year":2026},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:f5b3529d73076b0efba5c52571f8f777fa995b5cc10ffe2062b73f1b8acc9d66","observation_id":"292c2d87-c505-4610-b36c-1c605ed28264","resolution":{"observed_at":"2026-07-12T06:48:33.841677Z","resolver_source":"doi","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":null,"cited_work":{"arxiv_id":null,"doi":"10.5281/zenodo.20694588","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:48:33.847486Z","title":"A scalar Herglotz criterion for the even-simplicity hypothesis in the localized Weil quadratic form, June 2026","venue":null,"work_id":"66ed2571-4fa3-45c9-a3e8-c0f76a5706c2","year":2026},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:257960a7163b82fd2a58ac5a31b2789ab216a8c3080f9a1152cf1bb53e8fd260","observation_id":"2c2910b7-54d8-4fe1-aae6-71e9a6185a5c","resolution":{"observed_at":"2026-07-12T06:48:33.849047Z","resolver_source":"doi","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":"1806.10411","last_updated":"2018-06-27T11:19:39Z","snapshot_observed_at":"2026-07-06T06:47:06.314162Z","submitted_at":"2018-06-27T11:19:39Z","title":"Meet Andr\\'eief, Bordeaux 1886, and Andreev, Kharkov 1882-83","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.10411","snapshot_observed_at":"2026-07-12T06:47:35.599509Z","title":"Forrester","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"cited_paper":"/paper/1806.10411","citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:bbe2b45ecf139456b6738b6321f8e8141cb96571cde560c70c5ce48310b03ff8","observation_id":"a8726872-6d93-4fa5-9101-e47f9cc357b5","resolution":{"observed_at":"2026-07-12T06:47:35.599509Z","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":"2026-07-12T06:47:35.599509Z","title":null,"venue":null,"work_id":null,"year":1948},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:2b2dd07744fe3a68514650f659e31d9ed0b3f880bb76ce1814cd7a2634690ffb","observation_id":"766cfba9-6334-464c-acfa-abefba41e8aa","resolution":{"observed_at":"2026-07-12T06:47:35.599509Z","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":"2017.269063","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:48:33.817514Z","title":"Arb: Efficient arbitrary-precision midpoint-radius interval arithmetic.IEEE Transactions on Computers, 66(8):1281–1292, 2017.doi:10.1109/TC.2017.2690633","venue":null,"work_id":"96c21360-a880-4983-adad-1833a2c71e47","year":2017},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:63f93007e9adec80368edc45fd6e7f0f7ae18ac1ebfce3e2f9253f921d8a0968","observation_id":"648121bc-bfa6-4871-b981-24397d84aca6","resolution":{"observed_at":"2026-07-12T06:48:33.819985Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-12T06:47:35.599509Z","title":"Stanford University Press, Stanford, CA, 1968","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:1b57f579a1d864e3507841aef9fcfc649d7d4550d5c201f7fc09868409bf1e24","observation_id":"bddfd383-28a3-49c1-a0e5-1bf73bf8411a","resolution":{"observed_at":"2026-07-12T06:47:35.599509Z","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":"2026-07-12T06:47:35.599509Z","title":"Cambridge University Press, Cambridge, third edition, 2004.doi:10.1017/CBO9781139165372","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:a38eab1b2881e7bb0f3acbd94c399a3842e9abf8f58f96fc2617f8b1d872fa41","observation_id":"39bcabb6-d550-4b72-8f2d-b511a46f580c","resolution":{"observed_at":"2026-07-12T06:47:35.599509Z","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":"2026-07-12T06:47:35.599509Z","title":"Asymptotic expansions for the logarithmic derivative of the gamma function","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:c9f6a52f9d0e87349629a6308c21e5dd6223076a37d0e49a86b367861eddf06f","observation_id":"62c0c5c8-5710-42ea-a892-b03f698e012a","resolution":{"observed_at":"2026-07-12T06:47:35.599509Z","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":"2026-07-12T06:47:35.599509Z","title":"McGraw-Hill, New York, third edition, 1987","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:c69f77ab524eeea2a42c94ee935f0106a733c98f6a06a809b47616bbe1db2390","observation_id":"95fc9cc0-1685-4344-a22e-320128c8c7ed","resolution":{"observed_at":"2026-07-12T06:47:35.599509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1305.1173","last_updated":"2013-05-06T12:59:32Z","snapshot_observed_at":"2026-07-06T03:12:45.406369Z","submitted_at":"2013-05-06T12:59:32Z","title":"Total positivity of a Cauchy kernel","version":1},"cited_work":{"arxiv_id":"1305.1173","doi":"10.1016/j.jat.2014.05.014","metadata_source":"pith","pith_arxiv_id":"1305.1173","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Total positivity of a Cauchy kernel","venue":"math.CA","work_id":"982a6ea0-3936-4d8a-9a54-66614a69cc1c","year":2013},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"cited_paper":"/paper/1305.1173","citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:0e05888bc9a64f337a9e230f6ad181628788a7a36a74ac1e883427e5f5d675ed","observation_id":"1d7be3fa-f532-4370-bf0e-b1802d930234","resolution":{"observed_at":"2026-07-12T06:48:33.812550Z","resolver_source":"local_arxiv","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":"2606.09096","last_updated":"2026-06-08T06:46:01Z","snapshot_observed_at":"2026-08-07T18:34:47.646200Z","submitted_at":"2026-06-08T06:46:01Z","title":"Weil's quadratic form via the screw function","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.09096","snapshot_observed_at":"2026-07-12T06:47:35.599509Z","title":"Weil’s quadratic form via the screw function.arXiv:2606.09096, 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"cited_paper":"/paper/2606.09096","citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:a9a644d587352b5e1c4cd771e2bff0fc730cdf00209355b77781ac9ad7688865","observation_id":"5d936782-8218-4100-a3aa-3459c01a8ef3","resolution":{"observed_at":"2026-07-12T06:47:35.599509Z","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":"2026-07-12T06:47:35.599509Z","title":null,"venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:eaf929ecf4c146808a81a179dbb0bbaae7fab7a0acb7de632931888916e9a57a","observation_id":"4daf41fe-8d42-472c-b561-edb033c3da5b","resolution":{"observed_at":"2026-07-12T06:47:35.599509Z","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":"2026-07-12T06:47:35.599509Z","title":"formules explicites","venue":null,"work_id":null,"year":1952},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:fe994f556e98305d29fa747e869842d315e6987695bf63b70a39b65a0a060764","observation_id":"ba646006-b3a1-4a7a-9d1f-2bf8a0c76597","resolution":{"observed_at":"2026-07-12T06:47:35.599509Z","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":"aspm/0211028","doi":"10.2969/aspm/02110281","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"On hermitian forms attached to zeta functions","venue":"Advanced studies in pure mathematics","work_id":"b22fc6e9-1eef-485d-800e-dd95e1bf536a","year":1992},"citing_paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-12T06:47:35.599509Z"},"links":{"citing_paper":"/paper/2607.02828"},"observation_digest":"sha256:d575dd1060c516110e88d0538b028089f5bd20897c1e37f8e40d6ffd466fb5a9","observation_id":"dde0425b-ca2d-470b-87c4-ad1d391f03b5","resolution":{"observed_at":"2026-07-12T06:48:33.845662Z","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"}}],"paper":{"arxiv_id":"2607.02828","last_updated":"2026-07-02T23:39:38Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-08T10:05:46.749062Z","submitted_at":"2026-07-02T23:39:38Z","title":"A finite Guinand-Weil dictionary and archimedean tail order for the truncated Weil quadratic form"},"reference_resolution":{"displayed":29,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":18,"verified_exact":11,"verified_fuzzy":0},"total_outbound_references":29},"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 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2607.02828."}