{"as_of":"2026-08-17T03:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:35523171bdd1447b2481b5713bc0c894138f8ee10a5e337955eaec70c7f9b5ba","coverage":[{"denominator":10,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":10,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T01:27:47.902925Z","state":"measured"},{"denominator":12,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":12,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T23:35:22.602842Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2506.11866","last_updated":"2025-06-13T15:14:19Z","snapshot_observed_at":"2026-08-13T20:08:42.000319Z","submitted_at":"2025-06-13T15:14:19Z","title":"Antidirected paths in oriented graphs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.11866","snapshot_observed_at":"2026-08-02T23:35:22.602842Z","title":"Grzesik and M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.14008","last_updated":"2026-06-07T02:12:37Z","snapshot_observed_at":"2026-08-14T09:16:52.228107Z","submitted_at":"2026-02-15T06:25:08Z","title":"On the supersaturation of oriented Tur\\'an problems","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-02T23:35:22.602842Z"},"links":{"cited_paper":"/paper/2506.11866","citing_paper":"/paper/2602.14008"},"observation_digest":"sha256:d1b28c5dc5250f0edb0d52313747c48db583d82d80e5386a553b213788a8a372","observation_id":"401199be-9249-473b-8ad4-8f240f6e8f9c","resolution":{"observed_at":"2026-08-02T23:35:22.602842Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.11866","last_updated":"2025-06-13T15:14:19Z","snapshot_observed_at":"2026-08-13T20:08:42.000319Z","submitted_at":"2025-06-13T15:14:19Z","title":"Antidirected paths in oriented graphs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.11866","snapshot_observed_at":"2026-07-31T06:33:28.669503Z","title":"Grzesik and M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.24738","last_updated":"2026-07-27T17:58:40Z","snapshot_observed_at":"2026-08-08T01:39:37.485296Z","submitted_at":"2026-07-27T17:58:40Z","title":"Long antipaths in oriented graphs","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-31T06:33:28.669503Z"},"links":{"cited_paper":"/paper/2506.11866","citing_paper":"/paper/2607.24738"},"observation_digest":"sha256:86c5d0b07ec5ebf75774e7a887e10d6bf539d8fc52f94348f626d670353de814","observation_id":"0b73e772-d5ce-4fb6-8ab7-9058e593e441","resolution":{"observed_at":"2026-07-31T06:33:28.669503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2506.11866/citation-record","integrity":"/paper/2506.11866/integrity","json":"/paper/2506.11866/citation-record.json","paper":"/paper/2506.11866"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T01:27:48.014835Z","title":"Addario-Berry, F","venue":null,"work_id":"cfc28a8f-3ce5-456a-8aee-d402cc0e8fe6","year":2013},"citing_paper":{"arxiv_id":"2506.11866","last_updated":"2025-06-13T15:14:19Z","snapshot_observed_at":"2026-08-13T20:08:42.000319Z","submitted_at":"2025-06-13T15:14:19Z","title":"Antidirected paths in oriented graphs","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T01:27:47.874901Z"},"links":{"citing_paper":"/paper/2506.11866"},"observation_digest":"sha256:d0730b118ebcd4f2c01545092a13448af3022e988702b5bd1f68965b84a2a44a","observation_id":"e38508d3-2c00-4b66-82e8-509c9a8caf31","resolution":{"observed_at":"2026-08-07T01:27:48.017710Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T01:27:48.006294Z","title":null,"venue":null,"work_id":"71bc569f-4145-4def-9286-4409b29f92a4","year":1980},"citing_paper":{"arxiv_id":"2506.11866","last_updated":"2025-06-13T15:14:19Z","snapshot_observed_at":"2026-08-13T20:08:42.000319Z","submitted_at":"2025-06-13T15:14:19Z","title":"Antidirected paths in oriented graphs","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T01:27:47.878445Z"},"links":{"citing_paper":"/paper/2506.11866"},"observation_digest":"sha256:228dfd4d7c76674ecca0a241fb163b51e925dd80587eaefdc65b5cb2f452c50c","observation_id":"4d04d6fb-32a3-4e80-af26-6d8d3942be90","resolution":{"observed_at":"2026-08-07T01:27:48.009202Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T01:27:47.997167Z","title":null,"venue":null,"work_id":"b7968ef7-ff6f-4b1d-8c2a-77296d4247ad","year":2025},"citing_paper":{"arxiv_id":"2506.11866","last_updated":"2025-06-13T15:14:19Z","snapshot_observed_at":"2026-08-13T20:08:42.000319Z","submitted_at":"2025-06-13T15:14:19Z","title":"Antidirected paths in oriented graphs","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T01:27:47.881660Z"},"links":{"citing_paper":"/paper/2506.11866"},"observation_digest":"sha256:333c0822d30287f615f75c67f39688db98ad07a75a8c3279cde6d5e52dfe6372","observation_id":"ee557a36-e79d-4832-8b2e-472d644f942b","resolution":{"observed_at":"2026-08-07T01:27:48.000258Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T01:27:47.988397Z","title":null,"venue":null,"work_id":"6655856c-523a-4424-b7f7-0ba03956ee54","year":1952},"citing_paper":{"arxiv_id":"2506.11866","last_updated":"2025-06-13T15:14:19Z","snapshot_observed_at":"2026-08-13T20:08:42.000319Z","submitted_at":"2025-06-13T15:14:19Z","title":"Antidirected paths in oriented graphs","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T01:27:47.884703Z"},"links":{"citing_paper":"/paper/2506.11866"},"observation_digest":"sha256:eb0661cd373d4662b5d39e6455ff61cff273d27d96a769bbb6762dfb8123c691","observation_id":"a301cf8c-ab43-4346-867f-3d32bda9fd00","resolution":{"observed_at":"2026-08-07T01:27:47.991173Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T01:27:47.978574Z","title":"Erdős and T","venue":null,"work_id":"b7f668de-b4d8-4377-8994-37e3ca22c656","year":1959},"citing_paper":{"arxiv_id":"2506.11866","last_updated":"2025-06-13T15:14:19Z","snapshot_observed_at":"2026-08-13T20:08:42.000319Z","submitted_at":"2025-06-13T15:14:19Z","title":"Antidirected paths in oriented graphs","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T01:27:47.887718Z"},"links":{"citing_paper":"/paper/2506.11866"},"observation_digest":"sha256:ae9beb9520e4bf9cd87095827e05c6e02dc8e71cf742107bf27039b45b4d2e2d","observation_id":"b4c7625e-f015-4c1f-8b2c-f521aad792e5","resolution":{"observed_at":"2026-08-07T01:27:47.981881Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T01:27:47.969864Z","title":null,"venue":null,"work_id":"74be597a-6c44-4b1a-bdd4-a565648202eb","year":1981},"citing_paper":{"arxiv_id":"2506.11866","last_updated":"2025-06-13T15:14:19Z","snapshot_observed_at":"2026-08-13T20:08:42.000319Z","submitted_at":"2025-06-13T15:14:19Z","title":"Antidirected paths in oriented graphs","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T01:27:47.890927Z"},"links":{"citing_paper":"/paper/2506.11866"},"observation_digest":"sha256:463eb8a23151df2e1f71dee4d652ff9b444e5427f0b2e3c2efb2e397d7408753","observation_id":"19ec9e47-e115-4f37-bfb7-c5a79ea7f111","resolution":{"observed_at":"2026-08-07T01:27:47.972610Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T01:27:47.961056Z","title":"Klimošová and M","venue":null,"work_id":"ec5cab36-9849-4b0a-a8fb-4bd128c93370","year":2023},"citing_paper":{"arxiv_id":"2506.11866","last_updated":"2025-06-13T15:14:19Z","snapshot_observed_at":"2026-08-13T20:08:42.000319Z","submitted_at":"2025-06-13T15:14:19Z","title":"Antidirected paths in oriented graphs","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T01:27:47.894058Z"},"links":{"citing_paper":"/paper/2506.11866"},"observation_digest":"sha256:390f30f3640ea21f19a010d3e14c302895959ea8b7177b2eb108755ca3d1afbf","observation_id":"93a9819b-b61c-4ce9-84bb-7ef8a2a16f79","resolution":{"observed_at":"2026-08-07T01:27:47.963841Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.03166","last_updated":"2025-09-05T14:34:05Z","snapshot_observed_at":"2026-08-16T13:45:55.989013Z","submitted_at":"2024-06-05T11:57:02Z","title":"Alternating paths in oriented graphs with large semidegree","version":3},"cited_work":{"arxiv_id":"2406.03166","doi":null,"metadata_source":"pith","pith_arxiv_id":"2406.03166","snapshot_observed_at":"2026-08-07T01:27:47.929698Z","title":"Alternating paths in oriented graphs with large semidegree","venue":"math.CO","work_id":"26d35597-37f5-4654-8e0d-c75a0fc64c85","year":2024},"citing_paper":{"arxiv_id":"2506.11866","last_updated":"2025-06-13T15:14:19Z","snapshot_observed_at":"2026-08-13T20:08:42.000319Z","submitted_at":"2025-06-13T15:14:19Z","title":"Antidirected paths in oriented graphs","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T01:27:47.896807Z"},"links":{"cited_paper":"/paper/2406.03166","citing_paper":"/paper/2506.11866"},"observation_digest":"sha256:3901614169b7caa660d9c453e5a670253ddac8612b193870d24bd1e56f6e2443","observation_id":"4ab94ed3-3a6a-40fc-902a-5f5f23600e0d","resolution":{"observed_at":"2026-08-07T01:27:47.934917Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T01:27:47.950833Z","title":null,"venue":null,"work_id":"8d408242-1a40-4930-9334-ac3e51dc85dc","year":2020},"citing_paper":{"arxiv_id":"2506.11866","last_updated":"2025-06-13T15:14:19Z","snapshot_observed_at":"2026-08-13T20:08:42.000319Z","submitted_at":"2025-06-13T15:14:19Z","title":"Antidirected paths in oriented graphs","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T01:27:47.900150Z"},"links":{"citing_paper":"/paper/2506.11866"},"observation_digest":"sha256:7f38d06af4ef9634d71c11cc0b63c504bbbcf1c11aa3bb78dc3782ce8f652e08","observation_id":"e6298740-ec59-484e-a27e-deb5dd5871aa","resolution":{"observed_at":"2026-08-07T01:27:47.953603Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T01:27:47.942101Z","title":"Stein and C","venue":null,"work_id":"4c7c7d77-b920-4c46-ac4b-9e8e9b27e3ed","year":2024},"citing_paper":{"arxiv_id":"2506.11866","last_updated":"2025-06-13T15:14:19Z","snapshot_observed_at":"2026-08-13T20:08:42.000319Z","submitted_at":"2025-06-13T15:14:19Z","title":"Antidirected paths in oriented graphs","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T01:27:47.902925Z"},"links":{"citing_paper":"/paper/2506.11866"},"observation_digest":"sha256:840991e4e42a9f1b750a3af4efb7fc2cefcf83351d144b435b2341050a7f1f31","observation_id":"8c44eba9-eec8-4e00-a2c4-35d38abf6f62","resolution":{"observed_at":"2026-08-07T01:27:47.944943Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.11866","last_updated":"2025-06-13T15:14:19Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-13T20:08:42.000319Z","submitted_at":"2025-06-13T15:14:19Z","title":"Antidirected paths in oriented graphs"},"reference_resolution":{"displayed":10,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":1,"verified_fuzzy":4},"total_outbound_references":10},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 2 inbound Pith citation observations for arXiv:2506.11866."}