{"as_of":"2026-08-07T10:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a20a2a5060da34f37f53f474db56b524b1c9561e45b8b513fbab11ac64c6ae49","coverage":[{"denominator":36,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":36,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T20:21:04.558872Z","state":"measured"},{"denominator":36,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":36,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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/2507.03676/citation-record","integrity":"/paper/2507.03676/integrity","json":"/paper/2507.03676/citation-record.json","paper":"/paper/2507.03676"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:21:10.772160Z","title":"Aigner and S","venue":null,"work_id":"199d04f5-f00f-47ac-8f73-6d9d0e923722","year":1993},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:01.550966Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:27eeb4034a6dc98270c22ab288abc7d8b27f1d66cc2351e2a88ee5e1940555b9","observation_id":"40338f95-461b-4650-b88a-dfaf86739e5a","resolution":{"observed_at":"2026-08-06T20:21:10.857857Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:10.582233Z","title":"Allen, J","venue":null,"work_id":"fc3c0c47-a9ab-4d93-85d7-5974bce54eba","year":2024},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:01.636360Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:ce8e4c07d1907ce1e01de2d22eaafee9142582651ef692d4f69aa38825d24b93","observation_id":"2f0d6db3-880b-44de-95cf-03876198188d","resolution":{"observed_at":"2026-08-06T20:21:10.689571Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:10.411882Z","title":"Allen, J","venue":null,"work_id":"f9177922-fca0-44c6-bc14-6c550e7fbeca","year":null},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:01.690676Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:f43c7bd53c8a8d4f3bf668a02c9e4a8d1a0f5618ddd718e856115f8a4a59117a","observation_id":"faa49d0f-528d-4f8a-b9a7-f5d74ce57cab","resolution":{"observed_at":"2026-08-06T20:21:10.487466Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1612.00622","last_updated":"2025-08-28T07:55:11Z","snapshot_observed_at":"2026-08-03T13:07:34.805854Z","submitted_at":"2016-12-02T10:30:22Z","title":"Blow-up lemmas for sparse graphs","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1612.00622","snapshot_observed_at":"2026-08-06T20:21:01.756732Z","title":"Allen, J","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:01.756732Z"},"links":{"cited_paper":"/paper/1612.00622","citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:f256c1569b1bd6307118e2e190e7ffd35cd9fb05121717f9097b8777820c479b","observation_id":"a2e47430-619f-4aa5-acfc-e2e3c156ecbb","resolution":{"observed_at":"2026-08-06T20:21:01.756732Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:21:10.249814Z","title":"Alon and E","venue":null,"work_id":"5f4be71a-ffc1-4026-9d54-2e8a43451e34","year":1996},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:01.800240Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:32978539589e1a64b8cc7518be719cf3815d66bdc6657be9a9f547cf11bda0b4","observation_id":"3c8a64f3-be1e-4809-8eda-e47ea0bea3f8","resolution":{"observed_at":"2026-08-06T20:21:10.338457Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.06640","last_updated":"2024-09-10T16:55:15Z","snapshot_observed_at":"2026-07-06T19:13:20.458958Z","submitted_at":"2024-09-10T16:55:15Z","title":"Random embeddings of bounded degree trees with optimal spread","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.06640","snapshot_observed_at":"2026-08-06T20:21:01.844877Z","title":"Bastide, C","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:01.844877Z"},"links":{"cited_paper":"/paper/2409.06640","citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:9a39555940bb1458c4857e72bd174a0aec8dc63f81525647e607e4c887a7f975","observation_id":"4f322222-6072-478e-94cb-9dd59c222fe9","resolution":{"observed_at":"2026-08-06T20:21:01.844877Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:21:10.077690Z","title":"Bollob´ as and S","venue":null,"work_id":"17feb077-4a78-4132-b3c5-dbba977e24c8","year":1978},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:01.886662Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:04ed63d78ec0f7af98c694f1b0f95db9f765293b075bbe0a83ef532fe307ffc1","observation_id":"609edfd8-e98c-4163-9294-2d1e1b97050e","resolution":{"observed_at":"2026-08-06T20:21:10.163179Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:09.896399Z","title":"Bollob´ as,Extremal graph theory, London Mathematical Society Monographs, vol","venue":null,"work_id":"5a477786-ffb2-45b1-a436-a718719ec087","year":1978},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:01.941377Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:f645184dd0c26a6d05f28090783886c543e78efbfb4d83db08606a616d48550b","observation_id":"9bab45fe-6beb-4aa3-90f6-3be5a9f6f79d","resolution":{"observed_at":"2026-08-06T20:21:09.982491Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:09.688055Z","title":"B¨ ottcher, M","venue":null,"work_id":"457bf48a-9bd7-4197-9189-aa6c700b0e98","year":2008},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:02.018245Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:6ff923c7e259a3e083da49c19e16206d3c7bd00b89a08a24d3c20acc1ebac640","observation_id":"8e786890-5089-4186-bc63-1fea24346646","resolution":{"observed_at":"2026-08-06T20:21:09.780740Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:09.537114Z","title":null,"venue":null,"work_id":"290370cd-7760-42cd-9af8-2119902a5010","year":2009},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:02.072807Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:efcfd1e34eebc0d52debc8c522ed2248bb20a969e745b38f8aa3f43c1beae652","observation_id":"b0178041-6094-48db-8c8e-6e955be1f9bb","resolution":{"observed_at":"2026-08-06T20:21:09.619539Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:09.380855Z","title":null,"venue":null,"work_id":"fd0f8529-06b9-42de-9392-c71f44dff77b","year":1976},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:02.175238Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:2769c61daaf3313cf200186730ab591dab676413643ea1397248f7b161726cdd","observation_id":"e9a4384b-0323-4e3e-aa41-bfb66d0207a4","resolution":{"observed_at":"2026-08-06T20:21:09.449657Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:09.200361Z","title":"Csaba, On the Bollob´ as–Eldridge conjecture for bipartite graphs, Combin","venue":null,"work_id":"01cfda02-500b-44f9-b191-2bcd3e24c3ab","year":2007},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:02.273887Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:8b67a1cf2b9dc03c72667a1322db9c6223ecb280102f84251e1af08e24c1e517","observation_id":"6c6cdc6b-abb5-4b2a-9a11-7d56751ec01a","resolution":{"observed_at":"2026-08-06T20:21:09.291132Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:09.014228Z","title":"Csaba, A","venue":null,"work_id":"624fefa4-48cc-4605-8767-2ededd17940a","year":2003},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:02.391954Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:467ef0aca43db7b610c6a728c4da719f33812563b270c778709051e90a1d3228","observation_id":"4a2d8382-483e-4768-92f0-fd7a658bc889","resolution":{"observed_at":"2026-08-06T20:21:09.088747Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:08.783015Z","title":null,"venue":null,"work_id":"c2698fc3-1fb9-431f-a6df-146a5fcf4633","year":1952},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:02.471581Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:38a03070bfc340d971c98a3677760d2930b913db9fe19756449dcadb2db7f580","observation_id":"a1658c1f-4e90-4ca0-8db9-1efc9dba58d6","resolution":{"observed_at":"2026-08-06T20:21:08.914843Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:08.535013Z","title":"Frankston, J","venue":null,"work_id":"35d42f83-4d32-426d-b487-17895a3ad025","year":2021},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:02.564075Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:78d819559a9af9ea2331aa79f97681cae6b331f7f1b3d2bfe2cf14185afeeb3d","observation_id":"f5777ea5-063c-4961-b62f-8293199ded6e","resolution":{"observed_at":"2026-08-06T20:21:08.652247Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:08.347620Z","title":"Hajnal and E","venue":null,"work_id":"fbd18f1a-c4f3-413f-9a5f-cb0a68682806","year":1969},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:02.637339Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:e22a7da5db311f216f471bb1c2336cec60b4d4c2c1d53d54d728e8b715a95395","observation_id":"e3cad13b-e6fe-4525-9ffa-3c50c5c3975e","resolution":{"observed_at":"2026-08-06T20:21:08.447931Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:08.086969Z","title":"Janson, T","venue":null,"work_id":"491bedc9-cb85-4a0b-879c-fd27a7d79441","year":2000},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:02.696402Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:07b4a54cf44f88efea01399bccf601e7f0f0d7bcd2cbf91053f4470592778381","observation_id":"9d4e10d7-bc9d-4dba-9339-1d546f7eed1a","resolution":{"observed_at":"2026-08-06T20:21:08.242711Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:07.885424Z","title":"Johansson, J","venue":null,"work_id":"6b040a75-3fc6-464a-a521-7b8e6046a3ea","year":2008},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:02.775059Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:5110c3135e2ac7d828fcda75858a5d7f1d0edc67d272fef1a41e5b19260f5b3a","observation_id":"91665ef9-75ba-48a1-a5d2-515c17eb1375","resolution":{"observed_at":"2026-08-06T20:21:07.973599Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.15262","last_updated":"2024-12-28T22:57:23Z","snapshot_observed_at":"2026-07-06T17:07:36.328068Z","submitted_at":"2023-12-23T13:57:17Z","title":"Robust Hamiltonicity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.15262","snapshot_observed_at":"2026-08-06T20:21:02.852577Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:02.852577Z"},"links":{"cited_paper":"/paper/2312.15262","citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:da441048f0aca977656741e41bf844f7d85d2cbbe1b08892a3214eae931a6c99","observation_id":"1b355b57-50fb-413f-90ab-7297ed2e6915","resolution":{"observed_at":"2026-08-06T20:21:02.852577Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:21:07.714485Z","title":null,"venue":null,"work_id":"79f8cfbf-6b43-429a-96c0-a96f1536c6dc","year":2024},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:02.972561Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:92712fc7bbbdf1d0d6d19c1e385b57f2379bd394eb2d142cb58f39584f89b0b2","observation_id":"23f7d7d9-2609-453b-b3d6-b27e3d5e7321","resolution":{"observed_at":"2026-08-06T20:21:07.801890Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:07.551504Z","title":null,"venue":null,"work_id":"0104dc2d-07e7-4ea1-8288-d3057375de0f","year":2008},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:03.086538Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:b71ca7a095724787fe13067c4f1a3e39e96c6b9ab49b11042f024f705da7e4ab","observation_id":"ac16625d-8fae-4ea9-9d9b-86015374ae9f","resolution":{"observed_at":"2026-08-06T20:21:07.637942Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:07.323401Z","title":"Kelly, A","venue":null,"work_id":"1442779c-7736-4737-8af6-73f8bc0ddf13","year":2024},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:03.211211Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:712dfebfde3dc38c059167c1c6944dfa99708942fc9ff3a26f352ca4ac637f02","observation_id":"1c7a30bb-92d4-427e-abcf-6c8e09f90ccf","resolution":{"observed_at":"2026-08-06T20:21:07.444718Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:07.112951Z","title":"Koml´ os and M","venue":null,"work_id":"073dbe64-519a-4a9b-b7a1-2fb2f3da8654","year":1993},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:03.334812Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:e3a5c158e4c106f816de446a673229a3d81f0f11c3ee128c68cfff32734d179c","observation_id":"f13ec77c-a880-49c7-b2d5-d7207789e125","resolution":{"observed_at":"2026-08-06T20:21:07.215363Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:06.892354Z","title":"Koml´ os, G","venue":null,"work_id":"3330a7c7-47cc-4a25-99f5-cd4078cff260","year":1995},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:03.446220Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:a6adabc2283885d73c9b1f46f90d45e00ad69b495bf3318a96ac763bd8ecbcf3","observation_id":"03c7ce9d-42cc-4666-9d35-923079a440ab","resolution":{"observed_at":"2026-08-06T20:21:07.021070Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:06.696449Z","title":"1, 109–123","venue":null,"work_id":"cc9aa268-326b-46c5-bb38-bcc4221fc4cb","year":1997},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:03.515582Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:340c5d4bb405a606776bec090802fe9e453b427492aad94aa4d06d5a6efb5086","observation_id":"13d0a2de-3eeb-4cca-9ec2-53964eda8af4","resolution":{"observed_at":"2026-08-06T20:21:06.760583Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:06.541701Z","title":null,"venue":null,"work_id":"42ac4486-3c24-4a26-bf0a-88f2f4ba68f6","year":1998},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:03.621157Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:7594cba82d1ff5967ee361688f8e903ee39f675acdc8971cf1c2617d422341e2","observation_id":"0a6bd051-3985-4837-bea5-3257683b4bac","resolution":{"observed_at":"2026-08-06T20:21:06.616973Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:06.387862Z","title":"235 (2001), no","venue":null,"work_id":"ee3f8886-c432-488d-a244-40d830e9ca84","year":2001},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:03.685902Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:0a8cd3ad5e5c944cf2558c25df3a0f2473c681398397acb1d5be0e2af56f7d07","observation_id":"c8771546-f103-4f81-b1f0-615190ec8761","resolution":{"observed_at":"2026-08-06T20:21:06.466531Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:06.173187Z","title":null,"venue":null,"work_id":"e3c49d2e-88db-400e-8b7f-f0e52cb77bd6","year":2001},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:03.757898Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:a64c2f04a57e6ad4177ef7673045ca65cffb2925848f3aa090ee0b82c20bb4ae","observation_id":"ae1d6878-b1a1-42cc-8cd6-956b1106fd8c","resolution":{"observed_at":"2026-08-06T20:21:06.245108Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:05.968107Z","title":"Krivelevich, C","venue":null,"work_id":"0b99ad1c-2fe6-42ae-a934-add7c814e0bb","year":2014},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:03.895402Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:d1d6afff8c7347b7c02a540326eb48637f129609b934d95accbde438bf8832b6","observation_id":"4cf0408a-5f3f-4640-947c-1adf320cf7b9","resolution":{"observed_at":"2026-08-06T20:21:06.083726Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:05.717584Z","title":"K¨ uhn, D","venue":null,"work_id":"1680295b-ee70-4de8-bfbb-f582cd8822a9","year":2005},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:04.005782Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:2ca4de67ee9d17845c90044343ac8710cf38ea3e5f5a736e935f4905c47ae456","observation_id":"61652937-f042-47d1-b9b7-2dc03dd516ec","resolution":{"observed_at":"2026-08-06T20:21:05.871836Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.06132","last_updated":"2024-10-08T15:34:25Z","snapshot_observed_at":"2026-08-03T17:37:05.935361Z","submitted_at":"2024-10-08T15:34:25Z","title":"Spread blow-up lemma with an application to perturbed random graphs","version":1},"cited_work":{"arxiv_id":"2410.06132","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.06132","snapshot_observed_at":"2026-08-06T20:21:04.749350Z","title":"Spread blow-up lemma with an application to perturbed random graphs","venue":"math.CO","work_id":"70f9b560-abc3-42e3-a743-891604435eac","year":2024},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:04.146786Z"},"links":{"cited_paper":"/paper/2410.06132","citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:0aaf5f46913dcbec88b5da7afcabf186bde7a8e87b8dc2264aceec327d4ff39a","observation_id":"73f78a7a-70a1-462d-94a3-72df5fe5e40d","resolution":{"observed_at":"2026-08-06T20:21:04.857943Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.03064","last_updated":"2023-05-15T18:47:32Z","snapshot_observed_at":"2026-07-06T14:00:37.875054Z","submitted_at":"2022-10-06T17:19:55Z","title":"A Toolkit for Robust Thresholds","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.03064","snapshot_observed_at":"2026-08-06T20:21:04.210774Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:04.210774Z"},"links":{"cited_paper":"/paper/2210.03064","citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:32feb83951db78f6bfabd41580330363672a2c2fadf131be324be9f04782132e","observation_id":"944a8463-c4d2-4f0b-8cae-e987273253da","resolution":{"observed_at":"2026-08-06T20:21:04.210774Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:21:05.544061Z","title":"Sauer and J","venue":null,"work_id":"0daebe65-adfd-4bc4-bf82-53212577ec12","year":1978},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:04.289360Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:a5cd5fc76f79a489a98498ca06cb4ee183dd0d2f4c97c3f45ffcb5d9330b6387","observation_id":"03b13e9a-e699-4f62-a364-3891b63ba1cd","resolution":{"observed_at":"2026-08-06T20:21:05.651386Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:05.372307Z","title":"Sudakov, Robustness of graph properties , Surveys in combinatorics 2017, London Math","venue":null,"work_id":"0bd0df98-4fdf-4aed-a16b-5c7341cc5db6","year":2017},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:04.353404Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:e5ab97ce0af45666233fc040f41c5d82aef5cb7057fe959915a91ce30d238ad0","observation_id":"1a125c22-c9ba-4158-8eef-743bf955817b","resolution":{"observed_at":"2026-08-06T20:21:05.463317Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:05.195270Z","title":"Szemer´ edi,Regular partitions of graphs , Probl` emes combinatoires et th´ eorie des graphes (Colloq","venue":null,"work_id":"4eb8d921-0a1a-489c-8110-4ef37d97db72","year":1976},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:04.421171Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:e5e4dcd27b70ff2d1a7bf117b02e0513d52842c7a41487e9b44263897e9b5264","observation_id":"f0fcfa4b-f417-4f3c-879f-f8b2da95c5a3","resolution":{"observed_at":"2026-08-06T20:21:05.297745Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T20:21:04.988821Z","title":"Talagrand, Are many small sets explicitly small? , Proceedings of the 2010 ACM International Symposium on Theory of Computing, ACM, New York, 2010, pp","venue":null,"work_id":"085de49e-1848-4fde-a6ba-9ef47870fd60","year":2010},"citing_paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:04.558872Z"},"links":{"citing_paper":"/paper/2507.03676"},"observation_digest":"sha256:695ef082e5992dcf50e13de395832f4fd643c9ecd44d8c949739fa2148695480","observation_id":"5434292a-2f34-4e33-a14a-42d392223961","resolution":{"observed_at":"2026-08-06T20:21:05.092147Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.03676","last_updated":"2025-07-04T15:51:52Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-06T20:02:16.330539Z","submitted_at":"2025-07-04T15:51:52Z","title":"Robustness of the Sauer-Spencer Theorem"},"reference_resolution":{"displayed":36,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":1,"verified_fuzzy":24},"total_outbound_references":36},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2507.03676."}