{"as_of":"2026-08-09T01:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0f56d9dceb63bc9ca749c17b2e0a2c99700286c36c1537a641684d79b9c2a2de","coverage":[{"denominator":11,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":11,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T17:49:29.096637Z","state":"measured"},{"denominator":11,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":11,"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/2607.17547/citation-record","integrity":"/paper/2607.17547/integrity","json":"/paper/2607.17547/citation-record.json","paper":"/paper/2607.17547"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.05438","last_updated":"2025-01-09T18:49:23Z","snapshot_observed_at":"2026-07-06T20:18:53.977126Z","submitted_at":"2025-01-09T18:49:23Z","title":"Almost every Latin square has a decomposition into transversals","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.05438","snapshot_observed_at":"2026-08-01T17:49:28.193153Z","title":"Bowtell and R","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.17547","last_updated":"2026-07-20T04:46:09Z","snapshot_observed_at":"2026-08-07T11:01:02.350213Z","submitted_at":"2026-07-20T04:46:09Z","title":"Latin Squares whose transversals intersect in unusual ways","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T17:49:28.193153Z"},"links":{"cited_paper":"/paper/2501.05438","citing_paper":"/paper/2607.17547"},"observation_digest":"sha256:595dbb3dc64cee4f6c9abce2383621136f9ea7229c19798d35b6baf2fa6e01bf","observation_id":"b37b0a03-e81c-41a7-b173-ced19ab88257","resolution":{"observed_at":"2026-08-01T17:49:28.193153Z","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":"2026-08-01T17:49:28.272908Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.17547","last_updated":"2026-07-20T04:46:09Z","snapshot_observed_at":"2026-08-07T11:01:02.350213Z","submitted_at":"2026-07-20T04:46:09Z","title":"Latin Squares whose transversals intersect in unusual ways","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T17:49:28.272908Z"},"links":{"citing_paper":"/paper/2607.17547"},"observation_digest":"sha256:0f5707faed8919c4bc92c0c2de2774aa75498c80f105267df45795a5ca811fb4","observation_id":"764a70b0-9c47-4a20-a3a0-d25dca021571","resolution":{"observed_at":"2026-08-01T17:49:28.272908Z","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":"2026-08-01T17:49:28.351010Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.17547","last_updated":"2026-07-20T04:46:09Z","snapshot_observed_at":"2026-08-07T11:01:02.350213Z","submitted_at":"2026-07-20T04:46:09Z","title":"Latin Squares whose transversals intersect in unusual ways","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T17:49:28.351010Z"},"links":{"citing_paper":"/paper/2607.17547"},"observation_digest":"sha256:792b77a10281c97c30a5be495d821ddf611aef39776e4ebb0eaabb6f02560a32","observation_id":"68cdd374-f816-4cb5-a3fc-d3106b16d9ab","resolution":{"observed_at":"2026-08-01T17:49:28.351010Z","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":"2026-08-01T17:49:28.431056Z","title":null,"venue":null,"work_id":null,"year":1944},"citing_paper":{"arxiv_id":"2607.17547","last_updated":"2026-07-20T04:46:09Z","snapshot_observed_at":"2026-08-07T11:01:02.350213Z","submitted_at":"2026-07-20T04:46:09Z","title":"Latin Squares whose transversals intersect in unusual ways","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T17:49:28.431056Z"},"links":{"citing_paper":"/paper/2607.17547"},"observation_digest":"sha256:f0df1e58ac22b2317dc5ee2d8b835ad328f40107109abeaefd00b0bbd76768d3","observation_id":"e8eb462a-b06a-447f-b016-a7a6621ce63a","resolution":{"observed_at":"2026-08-01T17:49:28.431056Z","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":"2026-08-01T17:49:28.515839Z","title":"Egan and I","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.17547","last_updated":"2026-07-20T04:46:09Z","snapshot_observed_at":"2026-08-07T11:01:02.350213Z","submitted_at":"2026-07-20T04:46:09Z","title":"Latin Squares whose transversals intersect in unusual ways","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T17:49:28.515839Z"},"links":{"citing_paper":"/paper/2607.17547"},"observation_digest":"sha256:c7e30a6641c24cecd233c5ca435f9899f46d8d011092c5a311bc72664654804d","observation_id":"b28ea998-2e50-4679-8606-288b13e869cd","resolution":{"observed_at":"2026-08-01T17:49:28.515839Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.12466","last_updated":"2024-12-17T01:58:57Z","snapshot_observed_at":"2026-07-06T20:08:16.471575Z","submitted_at":"2024-12-17T01:58:57Z","title":"Latin Squares whose transversals share many entries","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.12466","snapshot_observed_at":"2026-08-01T17:49:28.599737Z","title":"Ghafari and I","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.17547","last_updated":"2026-07-20T04:46:09Z","snapshot_observed_at":"2026-08-07T11:01:02.350213Z","submitted_at":"2026-07-20T04:46:09Z","title":"Latin Squares whose transversals intersect in unusual ways","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T17:49:28.599737Z"},"links":{"cited_paper":"/paper/2412.12466","citing_paper":"/paper/2607.17547"},"observation_digest":"sha256:e309943872cef9c489be16d905b9ad726097523773f19b758c61e054b825c191","observation_id":"07f27217-798c-4f37-8156-6bd84b45dbd3","resolution":{"observed_at":"2026-08-01T17:49:28.599737Z","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":"2026-08-01T17:49:28.712724Z","title":"Montgomery, Transversals in latin squares,London Math","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.17547","last_updated":"2026-07-20T04:46:09Z","snapshot_observed_at":"2026-08-07T11:01:02.350213Z","submitted_at":"2026-07-20T04:46:09Z","title":"Latin Squares whose transversals intersect in unusual ways","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T17:49:28.712724Z"},"links":{"citing_paper":"/paper/2607.17547"},"observation_digest":"sha256:a1dd0f12509b71faa7467caa28f4acef19df719b487bb5c3e3be684816ae5efb","observation_id":"726ba9c1-bf8d-4e12-badc-30f1efd2695d","resolution":{"observed_at":"2026-08-01T17:49:28.712724Z","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":"2026-08-01T17:49:28.822589Z","title":null,"venue":null,"work_id":null,"year":1951},"citing_paper":{"arxiv_id":"2607.17547","last_updated":"2026-07-20T04:46:09Z","snapshot_observed_at":"2026-08-07T11:01:02.350213Z","submitted_at":"2026-07-20T04:46:09Z","title":"Latin Squares whose transversals intersect in unusual ways","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T17:49:28.822589Z"},"links":{"citing_paper":"/paper/2607.17547"},"observation_digest":"sha256:313826bb292c640aa0bbe1a6ff4c3200de8830dc268b3c77ae817e5954225b1c","observation_id":"797b0374-20ab-4d6a-893a-5f0172ec5514","resolution":{"observed_at":"2026-08-01T17:49:28.822589Z","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":"2026-08-01T17:49:28.938965Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2607.17547","last_updated":"2026-07-20T04:46:09Z","snapshot_observed_at":"2026-08-07T11:01:02.350213Z","submitted_at":"2026-07-20T04:46:09Z","title":"Latin Squares whose transversals intersect in unusual ways","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T17:49:28.938965Z"},"links":{"citing_paper":"/paper/2607.17547"},"observation_digest":"sha256:27531f1b9d4ca02c38ecc44e146089f1c368e6a5694143b3841a762994143fe2","observation_id":"7d27eadd-8321-4110-a263-856c4014c1b8","resolution":{"observed_at":"2026-08-01T17:49:28.938965Z","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":"2026-08-01T17:49:29.019865Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.17547","last_updated":"2026-07-20T04:46:09Z","snapshot_observed_at":"2026-08-07T11:01:02.350213Z","submitted_at":"2026-07-20T04:46:09Z","title":"Latin Squares whose transversals intersect in unusual ways","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T17:49:29.019865Z"},"links":{"citing_paper":"/paper/2607.17547"},"observation_digest":"sha256:19396bb1c7ee31c0ee24c665544cf94cfdda7b05e59c9db5145eb27c5ef81c0d","observation_id":"58d6b388-9c9e-4b4d-ae2c-dd8b08b6f89e","resolution":{"observed_at":"2026-08-01T17:49:29.019865Z","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":"2026-08-01T17:49:29.096637Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.17547","last_updated":"2026-07-20T04:46:09Z","snapshot_observed_at":"2026-08-07T11:01:02.350213Z","submitted_at":"2026-07-20T04:46:09Z","title":"Latin Squares whose transversals intersect in unusual ways","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T17:49:29.096637Z"},"links":{"citing_paper":"/paper/2607.17547"},"observation_digest":"sha256:ad2e6c2d02a1f293dee855ddd3b3c20389a4548e6132bb0fdd5fadcc3f04d05c","observation_id":"bd73d852-c830-4c09-939a-c02eb0b22298","resolution":{"observed_at":"2026-08-01T17:49:29.096637Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.17547","last_updated":"2026-07-20T04:46:09Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-07T11:01:02.350213Z","submitted_at":"2026-07-20T04:46:09Z","title":"Latin Squares whose transversals intersect in unusual ways"},"reference_resolution":{"displayed":11,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":11},"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 9 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2607.17547."}