{"as_of":"2026-08-22T11:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:90905c7112f49be2223ef5867fb38dab597db52ba90effe47ef4323d6d252665","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":"2026-07-09T10:49:37.353638Z","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":"2026-08-22T06:32:14.747728+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/2607.07448/citation-record","integrity":"/paper/2607.07448/integrity","json":"/paper/2607.07448/citation-record.json","paper":"/paper/2607.07448"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T10:56:11.616455Z","title":"Babai and P","venue":null,"work_id":"96c69cee-9fb9-4102-bc89-19a47d264228","year":1992},"citing_paper":{"arxiv_id":"2607.07448","last_updated":"2026-07-08T14:18:36Z","snapshot_observed_at":"2026-08-06T06:32:05.163283Z","submitted_at":"2026-07-08T14:18:36Z","title":"Odd covers for complete graphs and complete 3-graphs","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-09T10:49:37.353638Z"},"links":{"citing_paper":"/paper/2607.07448"},"observation_digest":"sha256:b9b3eec81368877ce6e588251675aca75945617c95c1eed42b217d50638dfc44","observation_id":"3c408af1-0787-442c-8611-54696bde5508","resolution":{"observed_at":"2026-07-09T10:56:11.617774Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T10:56:11.618362Z","title":"Buchanan, A","venue":null,"work_id":"8b72b788-8291-4f11-8230-da30dc4bba75","year":2023},"citing_paper":{"arxiv_id":"2607.07448","last_updated":"2026-07-08T14:18:36Z","snapshot_observed_at":"2026-08-06T06:32:05.163283Z","submitted_at":"2026-07-08T14:18:36Z","title":"Odd covers for complete graphs and complete 3-graphs","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-09T10:49:37.353638Z"},"links":{"citing_paper":"/paper/2607.07448"},"observation_digest":"sha256:806a0fbb6a234f6fd9162b7f0df403afa47cb69e71c70a0cee4923b3a2bc34d1","observation_id":"85510649-9f02-463a-b18c-5bb1df97e374","resolution":{"observed_at":"2026-07-09T10:56:11.619499Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.08598","last_updated":"2024-08-16T08:20:11Z","snapshot_observed_at":"2026-08-21T04:36:50.019302Z","submitted_at":"2024-08-16T08:20:11Z","title":"On odd covers of cliques and disjoint unions","version":1},"cited_work":{"arxiv_id":"2408.08598","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.08598","snapshot_observed_at":"2026-07-09T10:56:11.269783Z","title":"Buchanan, A","venue":"math.CO","work_id":"1e21e0d6-5f21-4d1d-9683-3ecdb5a47d40","year":2024},"citing_paper":{"arxiv_id":"2607.07448","last_updated":"2026-07-08T14:18:36Z","snapshot_observed_at":"2026-08-06T06:32:05.163283Z","submitted_at":"2026-07-08T14:18:36Z","title":"Odd covers for complete graphs and complete 3-graphs","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-09T10:49:37.353638Z"},"links":{"cited_paper":"/paper/2408.08598","citing_paper":"/paper/2607.07448"},"observation_digest":"sha256:6dad040681f76c3e52624c0a166f961e3157a745cb319fb3f3c36e2db0b9a137","observation_id":"23c2d150-7710-40c6-b147-db6ea002fe4c","resolution":{"observed_at":"2026-07-09T10:56:11.271504Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T10:56:11.620072Z","title":"Buchanan, C","venue":null,"work_id":"db4d2f54-be63-4afc-9b06-5ea4ff106c28","year":2022},"citing_paper":{"arxiv_id":"2607.07448","last_updated":"2026-07-08T14:18:36Z","snapshot_observed_at":"2026-08-06T06:32:05.163283Z","submitted_at":"2026-07-08T14:18:36Z","title":"Odd covers for complete graphs and complete 3-graphs","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-09T10:49:37.353638Z"},"links":{"citing_paper":"/paper/2607.07448"},"observation_digest":"sha256:2fba8470f325fa914d986d100fb5bea61b54727443fc0ed5064faa6a9d7b400b","observation_id":"47f86b3d-be02-47a5-ae33-b94d4a6bf08d","resolution":{"observed_at":"2026-07-09T10:56:11.621143Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T10:56:11.621658Z","title":null,"venue":null,"work_id":"4aaf41c0-bda7-4f38-b5ff-88eeb32ea21d","year":2011},"citing_paper":{"arxiv_id":"2607.07448","last_updated":"2026-07-08T14:18:36Z","snapshot_observed_at":"2026-08-06T06:32:05.163283Z","submitted_at":"2026-07-08T14:18:36Z","title":"Odd covers for complete graphs and complete 3-graphs","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-09T10:49:37.353638Z"},"links":{"citing_paper":"/paper/2607.07448"},"observation_digest":"sha256:56d00410e1c87c5f64b1bf84fdfaf0e5e68d3772eed571d57b40d4f742f47eec","observation_id":"21b0f303-2185-4ac0-8005-ba36ebe450ad","resolution":{"observed_at":"2026-07-09T10:56:11.622699Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T10:56:11.624966Z","title":null,"venue":null,"work_id":"c1ef6edf-3545-44df-b16b-fd66aa798fd5","year":1971},"citing_paper":{"arxiv_id":"2607.07448","last_updated":"2026-07-08T14:18:36Z","snapshot_observed_at":"2026-08-06T06:32:05.163283Z","submitted_at":"2026-07-08T14:18:36Z","title":"Odd covers for complete graphs and complete 3-graphs","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-09T10:49:37.353638Z"},"links":{"citing_paper":"/paper/2607.07448"},"observation_digest":"sha256:fa2801e6d4780c2f64dc9630dedaa74ce790e02a11269026a922477b62680d2d","observation_id":"abfed2a8-ff5a-4457-b53c-b5323dfdfbcf","resolution":{"observed_at":"2026-07-09T10:56:11.626011Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T10:56:11.609402Z","title":null,"venue":null,"work_id":"87ca5988-52cb-4a76-9fc3-95fe90c59d12","year":1972},"citing_paper":{"arxiv_id":"2607.07448","last_updated":"2026-07-08T14:18:36Z","snapshot_observed_at":"2026-08-06T06:32:05.163283Z","submitted_at":"2026-07-08T14:18:36Z","title":"Odd covers for complete graphs and complete 3-graphs","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-09T10:49:37.353638Z"},"links":{"citing_paper":"/paper/2607.07448"},"observation_digest":"sha256:73e26e988d98f309a4e2f26c702a0747042f1bc5b0b58aefb92c3186072a3ed4","observation_id":"3a69b097-0701-4268-aec4-1fec527b4e38","resolution":{"observed_at":"2026-07-09T10:56:11.610733Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T10:56:11.611307Z","title":"Kami´ nski, V","venue":null,"work_id":"19fee2fc-aa69-438c-8deb-ad6e5c91c2c3","year":2009},"citing_paper":{"arxiv_id":"2607.07448","last_updated":"2026-07-08T14:18:36Z","snapshot_observed_at":"2026-08-06T06:32:05.163283Z","submitted_at":"2026-07-08T14:18:36Z","title":"Odd covers for complete graphs and complete 3-graphs","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-09T10:49:37.353638Z"},"links":{"citing_paper":"/paper/2607.07448"},"observation_digest":"sha256:8e2fe15f1adcdc255226a95dd3cffe275b3c38ef5eeb11dbf26cc0172ecc0eec","observation_id":"3198252b-a626-4022-87cd-c9bc227c06ff","resolution":{"observed_at":"2026-07-09T10:56:11.612409Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T10:56:11.623185Z","title":"Leader, L","venue":null,"work_id":"3f19f9d2-9d0e-428c-9ee6-85ef598ca80d","year":2018},"citing_paper":{"arxiv_id":"2607.07448","last_updated":"2026-07-08T14:18:36Z","snapshot_observed_at":"2026-08-06T06:32:05.163283Z","submitted_at":"2026-07-08T14:18:36Z","title":"Odd covers for complete graphs and complete 3-graphs","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-09T10:49:37.353638Z"},"links":{"citing_paper":"/paper/2607.07448"},"observation_digest":"sha256:b52bbe03d5438935dd7e00a2f58b9fc26b48ad3976bcb062e7398e08be0b39bd","observation_id":"19f774e8-ab3d-4bde-8748-1a69a839e214","resolution":{"observed_at":"2026-07-09T10:56:11.624298Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T10:56:11.612915Z","title":"Leader and T","venue":null,"work_id":"fffc72e5-f860-4a0f-81f9-6d29dc338ab8","year":2026},"citing_paper":{"arxiv_id":"2607.07448","last_updated":"2026-07-08T14:18:36Z","snapshot_observed_at":"2026-08-06T06:32:05.163283Z","submitted_at":"2026-07-08T14:18:36Z","title":"Odd covers for complete graphs and complete 3-graphs","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-09T10:49:37.353638Z"},"links":{"citing_paper":"/paper/2607.07448"},"observation_digest":"sha256:96f62a0cfe300d58e46eb08c7cbcdce944e601dcbac6a388086eef82ca577a21","observation_id":"822dfdd0-9425-4bf1-a824-ea3788af74eb","resolution":{"observed_at":"2026-07-09T10:56:11.614040Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-07-09T10:56:11.614669Z","title":"Radhakrishnan, P","venue":null,"work_id":"20d8bd4f-2c13-48ec-ab4a-13766f0d1736","year":2000},"citing_paper":{"arxiv_id":"2607.07448","last_updated":"2026-07-08T14:18:36Z","snapshot_observed_at":"2026-08-06T06:32:05.163283Z","submitted_at":"2026-07-08T14:18:36Z","title":"Odd covers for complete graphs and complete 3-graphs","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-09T10:49:37.353638Z"},"links":{"citing_paper":"/paper/2607.07448"},"observation_digest":"sha256:2f189189b4091351fcecf03dc0815f4f35dcd415db2cd0f87b5b617933354b03","observation_id":"9e52680e-99b5-4cfd-a8f0-d60f296c6136","resolution":{"observed_at":"2026-07-09T10:56:11.615839Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.07448","last_updated":"2026-07-08T14:18:36Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-06T06:32:05.163283Z","submitted_at":"2026-07-08T14:18:36Z","title":"Odd covers for complete graphs and complete 3-graphs"},"reference_resolution":{"displayed":11,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":1,"verified_fuzzy":7},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2607.07448."}