{"as_of":"2026-08-11T21:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8801efc998baa512ab64bf8c5d2ede976850f9a810bee3e1e1d155107c707bb2","coverage":[{"denominator":4,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-14T15:40:17.123855Z","state":"measured"},{"denominator":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2607.09793/citation-record","integrity":"/paper/2607.09793/integrity","json":"/paper/2607.09793/citation-record.json","paper":"/paper/2607.09793"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2508.08335","last_updated":"2025-08-10T19:40:25Z","snapshot_observed_at":"2026-08-10T23:30:41.854721Z","submitted_at":"2025-08-10T19:40:25Z","title":"Conjectures about Primes and Cyclic Numbers","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.08335","snapshot_observed_at":"2026-07-14T15:40:17.123855Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.09793","last_updated":"2026-07-09T05:17:23Z","snapshot_observed_at":"2026-08-02T07:20:59.443231Z","submitted_at":"2026-07-09T05:17:23Z","title":"A counterexample to a subadditivity conjecture of Cohen for Sophie Germain cyclic numbers","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-14T15:40:17.123855Z"},"links":{"cited_paper":"/paper/2508.08335","citing_paper":"/paper/2607.09793"},"observation_digest":"sha256:4f22b02ae9582b453b27f42d1f6cdf1f1ce6e2952fcb9c550038d858730e4f2b","observation_id":"984b5b3d-3ce1-4e7c-9476-23eed94fcdc5","resolution":{"observed_at":"2026-07-14T15:40:17.123855Z","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":"2026-07-14T15:40:17.123855Z","title":null,"venue":null,"work_id":null,"year":1923},"citing_paper":{"arxiv_id":"2607.09793","last_updated":"2026-07-09T05:17:23Z","snapshot_observed_at":"2026-08-02T07:20:59.443231Z","submitted_at":"2026-07-09T05:17:23Z","title":"A counterexample to a subadditivity conjecture of Cohen for Sophie Germain cyclic numbers","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-14T15:40:17.123855Z"},"links":{"citing_paper":"/paper/2607.09793"},"observation_digest":"sha256:47c9aa75d98777e3223754f5dfd6ead24834994fa2596fb20d739cd4d7285058","observation_id":"0282bef1-65be-4863-ac04-dd0f54c3a6b9","resolution":{"observed_at":"2026-07-14T15:40:17.123855Z","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":"2026-07-14T15:40:17.123855Z","title":"Hensley and I","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2607.09793","last_updated":"2026-07-09T05:17:23Z","snapshot_observed_at":"2026-08-02T07:20:59.443231Z","submitted_at":"2026-07-09T05:17:23Z","title":"A counterexample to a subadditivity conjecture of Cohen for Sophie Germain cyclic numbers","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-14T15:40:17.123855Z"},"links":{"citing_paper":"/paper/2607.09793"},"observation_digest":"sha256:1c53e058a3e37b3b90e55c1ad8cda910b6a877c973f0868a37f1f993c6936b6b","observation_id":"440a67f6-238e-4e73-b6ab-04a990467f29","resolution":{"observed_at":"2026-07-14T15:40:17.123855Z","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":"2026-07-14T15:40:17.123855Z","title":"Email address:alex@elninja.com","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.09793","last_updated":"2026-07-09T05:17:23Z","snapshot_observed_at":"2026-08-02T07:20:59.443231Z","submitted_at":"2026-07-09T05:17:23Z","title":"A counterexample to a subadditivity conjecture of Cohen for Sophie Germain cyclic numbers","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-14T15:40:17.123855Z"},"links":{"citing_paper":"/paper/2607.09793"},"observation_digest":"sha256:266ff7c5f57e5f810e2c2997ad917194f549058224d513f92e4e9392bc345dfd","observation_id":"7b7d322d-b26f-410d-8892-2486707269a0","resolution":{"observed_at":"2026-07-14T15:40:17.123855Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.09793","last_updated":"2026-07-09T05:17:23Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-02T07:20:59.443231Z","submitted_at":"2026-07-09T05:17:23Z","title":"A counterexample to a subadditivity conjecture of Cohen for Sophie Germain cyclic numbers"},"reference_resolution":{"displayed":4,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":4},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 0 inbound Pith citation observations for arXiv:2607.09793."}