{"as_of":"2026-08-12T11:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6ebef1a39f0fed8447b07cdd34a37419ccf374891fb978bc179dfa23293e38f8","coverage":[{"denominator":15,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":15,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T20:31:00.274622Z","state":"measured"},{"denominator":15,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":15,"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/2508.10857/citation-record","integrity":"/paper/2508.10857/integrity","json":"/paper/2508.10857/citation-record.json","paper":"/paper/2508.10857"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T20:31:02.937878Z","title":null,"venue":null,"work_id":"7ea67f2d-011c-4aa9-aeaf-a24a2430b812","year":2016},"citing_paper":{"arxiv_id":"2508.10857","last_updated":"2025-08-14T17:29:05Z","snapshot_observed_at":"2026-08-08T16:39:01.915958Z","submitted_at":"2025-08-14T17:29:05Z","title":"The Alternative Hypothesis for Zeros of the Riemann Zeta-Function","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-05T20:30:56.827427Z"},"links":{"citing_paper":"/paper/2508.10857"},"observation_digest":"sha256:7c9291574c810bbac70f547ece8b1e0049a400457d497918f2cc6aab5d694a9f","observation_id":"caf1567e-d819-4658-8ca5-cb5d1699b0d8","resolution":{"observed_at":"2026-08-05T20:31:03.010094Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T20:31:02.733293Z","title":"Baluyot, Daniel Alan Goldston, Ade Irma Suriajaya, and Caroline L","venue":null,"work_id":"4c5cc48d-6189-4ee3-90d3-ea322b337466","year":2024},"citing_paper":{"arxiv_id":"2508.10857","last_updated":"2025-08-14T17:29:05Z","snapshot_observed_at":"2026-08-08T16:39:01.915958Z","submitted_at":"2025-08-14T17:29:05Z","title":"The Alternative Hypothesis for Zeros of the Riemann Zeta-Function","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-05T20:30:56.947926Z"},"links":{"citing_paper":"/paper/2508.10857"},"observation_digest":"sha256:8ed88fd58077b781c0b623b6e32f25d40ee2cbdfec35df8720805e4c8d15ff47","observation_id":"ca0574b9-9df3-408c-b107-a8216c3ec760","resolution":{"observed_at":"2026-08-05T20:31:02.808060Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2501.14545","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T20:31:00.738823Z","title":"Baluyot, Daniel Alan Goldston, Ade Irma Suriajaya, and Caroline L","venue":null,"work_id":"b2c489c3-4735-43be-b729-97a1ad52e84d","year":2025},"citing_paper":{"arxiv_id":"2508.10857","last_updated":"2025-08-14T17:29:05Z","snapshot_observed_at":"2026-08-08T16:39:01.915958Z","submitted_at":"2025-08-14T17:29:05Z","title":"The Alternative Hypothesis for Zeros of the Riemann Zeta-Function","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-05T20:30:57.079199Z"},"links":{"citing_paper":"/paper/2508.10857"},"observation_digest":"sha256:ec881da36ac9d4ed12a5fc122022e558c6914dd2520c51e60a8abdfe60832cc7","observation_id":"2ac355a0-2ffd-4433-9c80-472ad9aa1a0b","resolution":{"observed_at":"2026-08-05T20:31:00.846632Z","resolver_source":"raw_fallback","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T20:31:02.589012Z","title":"Pair correlation estimates for the zeros of the zeta function via semidefinite programming","venue":null,"work_id":"9f509ff5-cd95-47ad-8176-d9e2e2912383","year":2020},"citing_paper":{"arxiv_id":"2508.10857","last_updated":"2025-08-14T17:29:05Z","snapshot_observed_at":"2026-08-08T16:39:01.915958Z","submitted_at":"2025-08-14T17:29:05Z","title":"The Alternative Hypothesis for Zeros of the Riemann Zeta-Function","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-05T20:30:57.275169Z"},"links":{"citing_paper":"/paper/2508.10857"},"observation_digest":"sha256:a189d3b6c971314427415ed8468ed46cabe8035e1beffa9677c1fd772c7efb11","observation_id":"a690861b-6094-41ec-815a-3c818107f915","resolution":{"observed_at":"2026-08-05T20:31:02.637421Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-05T20:30:57.607404Z","title":"Multiplicative number theory , volume 74 of Graduate Texts in Mathematics","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2508.10857","last_updated":"2025-08-14T17:29:05Z","snapshot_observed_at":"2026-08-08T16:39:01.915958Z","submitted_at":"2025-08-14T17:29:05Z","title":"The Alternative Hypothesis for Zeros of the Riemann Zeta-Function","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-05T20:30:57.607404Z"},"links":{"citing_paper":"/paper/2508.10857"},"observation_digest":"sha256:9ded04f9e4377ed8f4c1b0b6e965b4b68720c1d2faa5231e7cb9ac67d0ee7872","observation_id":"8a29256a-31c6-4da7-9566-2d453fc20411","resolution":{"observed_at":"2026-08-05T20:30:57.607404Z","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":"2026-08-05T20:31:02.404054Z","title":"Goldston and Hugh L","venue":null,"work_id":"04fe0160-cc79-4a2a-8d6e-ac145129ae11","year":1984},"citing_paper":{"arxiv_id":"2508.10857","last_updated":"2025-08-14T17:29:05Z","snapshot_observed_at":"2026-08-08T16:39:01.915958Z","submitted_at":"2025-08-14T17:29:05Z","title":"The Alternative Hypothesis for Zeros of the Riemann Zeta-Function","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-05T20:30:58.243899Z"},"links":{"citing_paper":"/paper/2508.10857"},"observation_digest":"sha256:69b361565b9eaee527d06517cffeccf7840ccec1d408dac6c6d6f46f6270607f","observation_id":"095adff3-b4d4-4cad-a427-7ab6b05bb9b6","resolution":{"observed_at":"2026-08-05T20:31:02.469271Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T20:31:02.234962Z","title":"L ARGE DIFFERENCES BETWEEN CONSECUTIVE PRIME NUMBERS","venue":null,"work_id":"25922b13-6201-4f3e-881e-c0673c0690f7","year":1981},"citing_paper":{"arxiv_id":"2508.10857","last_updated":"2025-08-14T17:29:05Z","snapshot_observed_at":"2026-08-08T16:39:01.915958Z","submitted_at":"2025-08-14T17:29:05Z","title":"The Alternative Hypothesis for Zeros of the Riemann Zeta-Function","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-05T20:30:59.501469Z"},"links":{"citing_paper":"/paper/2508.10857"},"observation_digest":"sha256:ae5710d55e39749c690b83de2bfca40c0b67bc167ece236d2d2b125034e7545a","observation_id":"1a569e34-178a-4dbd-8aae-a3277873d307","resolution":{"observed_at":"2026-08-05T20:31:02.301373Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T20:31:02.096482Z","title":null,"venue":null,"work_id":"b1e2c82c-088a-4e65-84f0-4c11161ff40b","year":1987},"citing_paper":{"arxiv_id":"2508.10857","last_updated":"2025-08-14T17:29:05Z","snapshot_observed_at":"2026-08-08T16:39:01.915958Z","submitted_at":"2025-08-14T17:29:05Z","title":"The Alternative Hypothesis for Zeros of the Riemann Zeta-Function","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-05T20:30:59.602483Z"},"links":{"citing_paper":"/paper/2508.10857"},"observation_digest":"sha256:2d27bf99c3326f08983c3cf1d1b731136e3f09933a076ef3d2c499a8652648b0","observation_id":"61e81872-f7d0-4b4c-9aa9-872cf7753e1a","resolution":{"observed_at":"2026-08-05T20:31:02.174375Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"showcase/4967015","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T20:31:00.518489Z","title":null,"venue":null,"work_id":"2fbc74ed-61d8-40c3-a2e0-fc0d97e9a819","year":1996},"citing_paper":{"arxiv_id":"2508.10857","last_updated":"2025-08-14T17:29:05Z","snapshot_observed_at":"2026-08-08T16:39:01.915958Z","submitted_at":"2025-08-14T17:29:05Z","title":"The Alternative Hypothesis for Zeros of the Riemann Zeta-Function","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-05T20:30:59.707259Z"},"links":{"citing_paper":"/paper/2508.10857"},"observation_digest":"sha256:b078fd766cc0f85eac07b256b0abd7c9974fd980b674394bb805698aa033f912","observation_id":"221095a2-5016-45b6-a923-af686f9b6505","resolution":{"observed_at":"2026-08-05T20:31:00.566550Z","resolver_source":"raw_fallback","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T20:31:01.847103Z","title":"An introduction to harmonic analysis","venue":null,"work_id":"6953f7fe-1d6d-4d3c-afee-50de5cb13062","year":1976},"citing_paper":{"arxiv_id":"2508.10857","last_updated":"2025-08-14T17:29:05Z","snapshot_observed_at":"2026-08-08T16:39:01.915958Z","submitted_at":"2025-08-14T17:29:05Z","title":"The Alternative Hypothesis for Zeros of the Riemann Zeta-Function","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-05T20:30:59.819737Z"},"links":{"citing_paper":"/paper/2508.10857"},"observation_digest":"sha256:1f2ab940b5421c5541ea656a779cfbc138137db4144985f46de1ce6dc9409a98","observation_id":"92c8b828-feef-4534-bd62-53ec0e2cd352","resolution":{"observed_at":"2026-08-05T20:31:01.955894Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T20:31:01.672694Z","title":"Languasco, A","venue":null,"work_id":"31ee486d-3f71-4573-8352-50c447aa1ae9","year":2017},"citing_paper":{"arxiv_id":"2508.10857","last_updated":"2025-08-14T17:29:05Z","snapshot_observed_at":"2026-08-08T16:39:01.915958Z","submitted_at":"2025-08-14T17:29:05Z","title":"The Alternative Hypothesis for Zeros of the Riemann Zeta-Function","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-05T20:30:59.899658Z"},"links":{"citing_paper":"/paper/2508.10857"},"observation_digest":"sha256:55808a0e4555649f0394059393eeca81e4b7f0b309d70ac41410ecb55e6f991f","observation_id":"ad0e8242-82f5-435f-8340-fc2acd9f9bca","resolution":{"observed_at":"2026-08-05T20:31:01.745322Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T20:31:01.526375Z","title":"Lagarias and Brad Rodgers","venue":null,"work_id":"21861bd1-e02b-43a6-a632-eae66e2e1b7f","year":2020},"citing_paper":{"arxiv_id":"2508.10857","last_updated":"2025-08-14T17:29:05Z","snapshot_observed_at":"2026-08-08T16:39:01.915958Z","submitted_at":"2025-08-14T17:29:05Z","title":"The Alternative Hypothesis for Zeros of the Riemann Zeta-Function","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-05T20:31:00.024324Z"},"links":{"citing_paper":"/paper/2508.10857"},"observation_digest":"sha256:76d40939923a360ad3f3069637d2de53676b32626633b53ed8bee0858cc30974","observation_id":"1660c607-aa09-485f-9f6f-df5a10879fa3","resolution":{"observed_at":"2026-08-05T20:31:01.587628Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T20:31:01.358986Z","title":null,"venue":null,"work_id":"4d811b9e-a6ef-4ca1-b8f1-24017cb3a52a","year":1972},"citing_paper":{"arxiv_id":"2508.10857","last_updated":"2025-08-14T17:29:05Z","snapshot_observed_at":"2026-08-08T16:39:01.915958Z","submitted_at":"2025-08-14T17:29:05Z","title":"The Alternative Hypothesis for Zeros of the Riemann Zeta-Function","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-05T20:31:00.094600Z"},"links":{"citing_paper":"/paper/2508.10857"},"observation_digest":"sha256:2c7854430e40ddc620dab8e63b78047da7023bd0d8fb057562daee8ab0c36be2","observation_id":"6eef0b83-e259-4284-ab0a-18bf532960dd","resolution":{"observed_at":"2026-08-05T20:31:01.438669Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T20:31:01.155681Z","title":"Arithmetic equivalent of essential simplicity of zeta zeros","venue":null,"work_id":"8dae7af6-b1ce-4210-b52f-d56e8463a612","year":1983},"citing_paper":{"arxiv_id":"2508.10857","last_updated":"2025-08-14T17:29:05Z","snapshot_observed_at":"2026-08-08T16:39:01.915958Z","submitted_at":"2025-08-14T17:29:05Z","title":"The Alternative Hypothesis for Zeros of the Riemann Zeta-Function","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-05T20:31:00.211020Z"},"links":{"citing_paper":"/paper/2508.10857"},"observation_digest":"sha256:705730bbca94e80af5acc0d4d4aae06fc21d0217b3d4c970658d6c51a0f69e42","observation_id":"dc28f481-2c00-4cf8-be23-5c35f089b2bb","resolution":{"observed_at":"2026-08-05T20:31:01.262086Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T20:31:00.973090Z","title":"Montgomery and Robert C","venue":null,"work_id":"de93b6b2-e6b1-4931-b3b9-ac68d443f21e","year":2007},"citing_paper":{"arxiv_id":"2508.10857","last_updated":"2025-08-14T17:29:05Z","snapshot_observed_at":"2026-08-08T16:39:01.915958Z","submitted_at":"2025-08-14T17:29:05Z","title":"The Alternative Hypothesis for Zeros of the Riemann Zeta-Function","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-05T20:31:00.274622Z"},"links":{"citing_paper":"/paper/2508.10857"},"observation_digest":"sha256:2786fe3a2c10e092f07131206f4850cd72480ddda91d9c1b6ba643010b2e8271","observation_id":"3cac8f08-0367-41be-9843-c8aca0378473","resolution":{"observed_at":"2026-08-05T20:31:01.058421Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2508.10857","last_updated":"2025-08-14T17:29:05Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-08T16:39:01.915958Z","submitted_at":"2025-08-14T17:29:05Z","title":"The Alternative Hypothesis for Zeros of the Riemann Zeta-Function"},"reference_resolution":{"displayed":15,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":2,"verified_fuzzy":9},"total_outbound_references":15},"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 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2508.10857."}