{"as_of":"2026-08-13T10:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:890787e89e5e20645aa786e2cd254d2acdc2e8293b7fa3e06636fa18f65b0f81","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T16:36:09.794446Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2411.13452/citation-record","integrity":"/paper/2411.13452/integrity","json":"/paper/2411.13452/citation-record.json","paper":"/paper/2411.13452"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:09.969651Z","title":"327– 338","venue":null,"work_id":"1ed1e498-737d-461d-b9e7-69c38413a3ee","year":2021},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.736042Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:231fd5ea40c7e771efdf2871c36953799f895d45931329655a07b6f6171440ba","observation_id":"988c0b96-0217-4be7-9f6e-08f63c66cc81","resolution":{"observed_at":"2026-08-12T16:36:09.972144Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.963039Z","title":"Ajtai, J","venue":null,"work_id":"f20cd9fc-71e9-486b-87e9-cc05845e3a12","year":1982},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.739445Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:37d64ecd9423ae74fd9dee4f3dc432fc37c083eecd24b0b9870048b0fbefa272","observation_id":"72cfbe85-4a64-4174-bbdc-225df83d8785","resolution":{"observed_at":"2026-08-12T16:36:09.965486Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.956241Z","title":null,"venue":null,"work_id":"ed3cf160-4a74-48b8-9bf5-3b51d908bd4a","year":2018},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.742215Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:fe89921637a39a79145a2f47eeb8cd59f61f46a22cc0ebaf1f0f437c365cf330","observation_id":"ba4d2ded-c131-4edf-9c09-06a510708a05","resolution":{"observed_at":"2026-08-12T16:36:09.958781Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.949853Z","title":null,"venue":null,"work_id":"d6c3d971-ead1-4d68-8624-b7a420129a7c","year":1981},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.745107Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:3c5e7ce4c5a69699ef86bb33fbd7f5673a75f75df959d9c9a34bdb961e2c0b3d","observation_id":"934f9165-1462-4d7a-8093-863d6dba911f","resolution":{"observed_at":"2026-08-12T16:36:09.952219Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.943220Z","title":null,"venue":null,"work_id":"ba5a8927-4994-45bf-bdae-c316bec3d5a8","year":2016},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.747855Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:8c2f62842717dc125c7313f5a1858c37503f82b85a2fcf64bf56cda3dd074456","observation_id":"17d9dec2-4e30-427d-a234-82b539ecae3d","resolution":{"observed_at":"2026-08-12T16:36:09.945809Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.936309Z","title":null,"venue":null,"work_id":"29f68924-bf7e-43bf-b76e-8a8ffce4a2d4","year":2018},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.750862Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:a144f3b6aef390979a666de3f0694146fc03e6d9b56fa3233d6c00572bb52136","observation_id":"b7d1ac14-ae01-41f0-8f7a-88baa195d8f1","resolution":{"observed_at":"2026-08-12T16:36:09.938966Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.929091Z","title":null,"venue":null,"work_id":"1780074c-732d-4fb9-bfeb-fc991459daaa","year":2011},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.753548Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:3a9b16ac782b98906b092ca298dfb63a63b81238266b686660ceb0ff8b60cd0d","observation_id":"55d8167c-cd48-4e56-a171-27b12d79db85","resolution":{"observed_at":"2026-08-12T16:36:09.931653Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.921757Z","title":null,"venue":null,"work_id":"ebc3d526-cbf8-4e82-a520-7715857b1aba","year":2013},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.756017Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:523b2eaa3150cb2d77aab4e6066e5e858dd4270e2c3ebbb719b07ed3c3e51634","observation_id":"510c6205-1b3b-4786-8e4b-b5ad046d19fd","resolution":{"observed_at":"2026-08-12T16:36:09.924415Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.914101Z","title":"Erdős and A","venue":null,"work_id":"a83ba638-2e07-4a1e-ba10-beb29e23bec7","year":1966},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.758556Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:dae57931fb20545ca061d94f2ccd68b26ff7b3bce505e91038f42ffcc0bc6a2d","observation_id":"1c132f3f-9c4e-454c-baf4-9bca9392de9a","resolution":{"observed_at":"2026-08-12T16:36:09.916874Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.907160Z","title":null,"venue":null,"work_id":"46f89315-dac3-4a18-afd5-e59649d232a3","year":1999},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.760998Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:ba1ef59e8380d85190b2818fbadb6e06203e9013fa02598cdfd6f66f85763f0a","observation_id":"d6433f78-fb85-4971-8830-d274aba43389","resolution":{"observed_at":"2026-08-12T16:36:09.909762Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.899422Z","title":null,"venue":null,"work_id":"967d0048-5b90-4de9-8fb7-eb3393c44f16","year":2016},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.763439Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:161bec21d8d2248b91faf79a7dc60511133bfa775de08e8e4f87fa6028aae5f8","observation_id":"6caf7806-db3c-4951-a602-96977b300d99","resolution":{"observed_at":"2026-08-12T16:36:09.902424Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.891158Z","title":null,"venue":null,"work_id":"be9087f1-8407-4a4f-ae9b-f8137a55270e","year":1994},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.766013Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:a054bfed29427598051dab850a5ced63ba691ad167d238c33b2716145e26780c","observation_id":"85d9ae7e-6a35-4fc7-9dd7-bef9457f2453","resolution":{"observed_at":"2026-08-12T16:36:09.894117Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.882640Z","title":null,"venue":null,"work_id":"4bc627e6-87b2-428a-8695-3822687c8624","year":1995},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.769242Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:b59298628eab0bcf539411d1d63268c64d11b2f60c4ead1156ece18de1ade4eb","observation_id":"d627a498-4926-46a1-ac6b-d18a10bedadb","resolution":{"observed_at":"2026-08-12T16:36:09.885695Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.875080Z","title":null,"venue":null,"work_id":"9cf8f22a-71d6-4131-b8db-68e0153bbf1c","year":2008},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.771718Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:03a2f2fa5e26a29c03ade9834ccc3d0227f592f24a07a1d4e89940a31be8952f","observation_id":"a89d7e9d-a68d-425a-b45b-9612805cdb37","resolution":{"observed_at":"2026-08-12T16:36:09.877835Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.867598Z","title":"43 (1983), 55–63","venue":null,"work_id":"5644f10a-6a31-46f1-9f78-d24690256da3","year":1983},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.774999Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:ca453f6ddb505442447f6e8acc031d911c43e1e6ad3e0c8d23c595451a1d6a40","observation_id":"c3fdf018-b514-4302-b065-780ad046c03d","resolution":{"observed_at":"2026-08-12T16:36:09.870486Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.859440Z","title":"Theory Related Fields 162 (2015), 431–461","venue":null,"work_id":"a4a7e0c8-ec49-45bf-931e-f6e1fbac3a67","year":2015},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.777760Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:7f64dc49d516c128dc4b55290ab5529fb05575116631c416a7b38266516d76c3","observation_id":"3102d9b7-b10e-4643-9780-65f35b29dab3","resolution":{"observed_at":"2026-08-12T16:36:09.862269Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.851746Z","title":"Theory Related Fields 143 (2009), 401–439","venue":null,"work_id":"2e10a9e3-038c-42f0-b50a-12db2012e659","year":2009},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.780163Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:9841a25f30e7fedb3889b50f4ad991332124d6c4eb2de1eae66afaea5daa069f","observation_id":"c40b08f5-9c7a-42ef-9121-6bec6ce501f8","resolution":{"observed_at":"2026-08-12T16:36:09.854522Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.843512Z","title":"1, 2, 3, 5","venue":null,"work_id":"0af3d896-2f0d-44d9-ada5-bbea63025067","year":2020},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.783486Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:884e1c03a96bef696c00d9c312446c8cf983622c58476370f05af78300f2df1a","observation_id":"384aec06-7454-4b0c-ae94-3d0ce6830997","resolution":{"observed_at":"2026-08-12T16:36:09.846353Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.835740Z","title":null,"venue":null,"work_id":"a9587905-18a9-420e-8c4c-241ec989cb47","year":2024},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.786156Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:8f65359c55544d9cbe9b3d7c6bcc62765cc3faee5462a14a19832c20949df3cc","observation_id":"519e24d4-a696-4a56-9c83-93458a76f45c","resolution":{"observed_at":"2026-08-12T16:36:09.838457Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.827625Z","title":"Pósa, Hamiltonian circuits in random graphs , Discrete Math","venue":null,"work_id":"b2716d69-65e4-49b8-be23-3a2ad7336d87","year":1976},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.788972Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:3111fdbb13ab5f7799b73ab7036fccc000b36a67d612eb9ae44c336f7f39dcae","observation_id":"cc2af3d5-723b-441a-9a2c-4cfd7c2d91c2","resolution":{"observed_at":"2026-08-12T16:36:09.831064Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.820241Z","title":null,"venue":null,"work_id":"5f7f5fb3-b2d9-496f-8c28-9cff4e30dcb1","year":2000},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.791749Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:b8eb04f004144f5679fe4d81f1c508816f8e978fd611f614c0ffdda2470daeaa","observation_id":"a0d91b56-c1d2-4fa5-99c1-97b089216749","resolution":{"observed_at":"2026-08-12T16:36:09.822890Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:36:09.811609Z","title":null,"venue":null,"work_id":"d84baadd-ff2f-4cc4-b33f-91b749a1f93e","year":1994},"citing_paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:09.794446Z"},"links":{"citing_paper":"/paper/2411.13452"},"observation_digest":"sha256:f71669398d4bd8c0523fca67e4daff93a5bb509c75b489d8b4acc99a8f94c5f3","observation_id":"94c906c0-de5a-46ca-a1db-abf3510e1b1f","resolution":{"observed_at":"2026-08-12T16:36:09.815249Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.13452","last_updated":"2025-01-06T21:34:33Z","latest_version":2,"primary_category":"math.CO","snapshot_observed_at":"2026-08-12T16:21:15.262799Z","submitted_at":"2024-11-20T16:55:24Z","title":"Exact threshold and limiting distribution for non-linear Hamilton cycles"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":14,"verified_exact":0,"verified_fuzzy":8},"total_outbound_references":22},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2411.13452."}