{"as_of":"2026-08-16T18:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6e2fea668b8351000afa5b04c8e828e13d9cdcffa81b86c2cef67a91505d362c","coverage":[{"denominator":28,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":28,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T12:32:25.386778Z","state":"measured"},{"denominator":28,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":28,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1908.07234/citation-record","integrity":"/paper/1908.07234/integrity","json":"/paper/1908.07234/citation-record.json","paper":"/paper/1908.07234"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:32:25.828656Z","title":"We now consider the process of picking up directed edge j→i at random from SBM at step t of WP","venue":null,"work_id":"d88e1654-b666-45ff-9d66-65f1340c4e57","year":null},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.263457Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:c8a45d388890bc46fbcace2cad2c2eba86a098fdf149c47b3212d2c695a152da","observation_id":"c8d9542b-e0d0-40bc-812f-0dd91c62da34","resolution":{"observed_at":"2026-08-14T12:32:25.833431Z","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":"2026-08-14T12:32:25.813658Z","title":"communities","venue":null,"work_id":"db058f88-0125-40dd-8048-6fdb5949fc7e","year":null},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.268833Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:4cf1f014c5ce5ea46865b971a2e4ffa0fb48aba6146e7717e3d2e2abaa90cf07","observation_id":"bea92121-9dfd-4fbb-b957-d55142d03723","resolution":{"observed_at":"2026-08-14T12:32:25.818484Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"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":"2026-08-14T12:32:25.799958Z","title":"Breitbart, C.-Y","venue":null,"work_id":"42539238-374f-4662-9e60-76174252272d","year":2001},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.274532Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:3b637d0acc8cd000b4729d75df4828b91c70edd798bbc4b8f7c5037960254f90","observation_id":"14ccc708-850c-442c-8d24-802911edc665","resolution":{"observed_at":"2026-08-14T12:32:25.804644Z","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":"2026-08-14T12:32:25.785747Z","title":"Park and H","venue":null,"work_id":"3aaf5094-9ce1-4d9a-8dfd-5358f567c022","year":2001},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.279219Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:089b6ef3cc43b77e0a46c44dd683d562cb7f245c504ec5bdddeeaf5ac6636036","observation_id":"048f983f-bfd6-43fe-9f6e-e3ef955e10a7","resolution":{"observed_at":"2026-08-14T12:32:25.790293Z","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":"2026-08-14T12:32:25.771205Z","title":"G´ omez-Gardenes, P","venue":null,"work_id":"f7fa88f9-5ebd-4d6a-9771-92e422ba064c","year":2006},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.284172Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:e07e28f71d28dfc91cb5a9b85384a1096125022a1acc3e5430023260533ac3f2","observation_id":"f4403b92-7c98-4703-b833-faaae68c4ef2","resolution":{"observed_at":"2026-08-14T12:32:25.775761Z","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":"2026-08-14T12:32:25.757146Z","title":"Weigt and A","venue":null,"work_id":"90c5c58c-1ad6-4498-8a62-5fbdb9e72d12","year":2000},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.288740Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:3384da1dc683353605cb80efbc68e8eaa94f115ed07aece635ff91da170bacaa","observation_id":"7994aa09-6e16-4591-9e0f-db70e557521b","resolution":{"observed_at":"2026-08-14T12:32:25.761559Z","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":"1402.2140","last_updated":"2014-02-10T13:30:25Z","snapshot_observed_at":"2026-08-16T11:49:02.079261Z","submitted_at":"2014-02-10T13:30:25Z","title":"Distributed Vertex Cover Algorithms For Wireless Sensor Networks","version":1},"cited_work":{"arxiv_id":"1402.2140","doi":null,"metadata_source":"pith","pith_arxiv_id":"1402.2140","snapshot_observed_at":"2026-08-14T12:32:25.499445Z","title":"Distributed Vertex Cover Algorithms For Wireless Sensor Networks","venue":"cs.DC","work_id":"5b87b21f-1d79-4c8d-9a2b-1edab14b74a3","year":2014},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.293271Z"},"links":{"cited_paper":"/paper/1402.2140","citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:269ac57bfe9401ddf4313d51780052733ee83ba8b7e8d7f20eba50f5e9bec8d3","observation_id":"50c230f5-9e27-4ca9-a515-f6d8c7b56277","resolution":{"observed_at":"2026-08-14T12:32:25.504548Z","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":"2026-08-14T12:32:25.742095Z","title":"Jin-Hua and Z","venue":null,"work_id":"7383073e-b91c-43d3-ba2f-43e1d4e8707e","year":2014},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.298192Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:c1da1a8b0c1f6db8b5d3f43aa20f5a26948200f6abd5fa060247b84a1dec03cd","observation_id":"a078623d-ef49-48be-8cd7-aaa0756f5a82","resolution":{"observed_at":"2026-08-14T12:32:25.747028Z","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":"2026-08-14T12:32:25.726565Z","title":null,"venue":null,"work_id":"766118cd-9ab3-42ee-9396-0db01649c852","year":2006},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.302827Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:c726964526d417762bf43da19c6b8f38cd2e71c7011442af14159bdc7678458c","observation_id":"557e9c87-8e49-42a8-a5fc-968b73df1a16","resolution":{"observed_at":"2026-08-14T12:32:25.731661Z","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":"2026-08-14T12:32:25.711536Z","title":"Weigt and H","venue":null,"work_id":"0d06cfd1-222f-4481-a7c9-2f54337276ab","year":2006},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.307194Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:9235786317125305110038798e7b804e86d9bb911ac6041dac83493b4dae822a","observation_id":"0108d9e7-6fb2-44a8-a639-5807110f33c4","resolution":{"observed_at":"2026-08-14T12:32:25.716034Z","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":"1703.10146","last_updated":"2023-10-25T02:53:12Z","snapshot_observed_at":"2026-08-14T21:09:23.630753Z","submitted_at":"2017-03-29T17:21:44Z","title":"Community Detection and Stochastic Block Models","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.10146","snapshot_observed_at":"2026-08-14T12:32:25.311621Z","title":"Abbe, Community detection and stochastic block models: recent developments, arXiv preprint arXiv:1703.10146 (2017)","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.311621Z"},"links":{"cited_paper":"/paper/1703.10146","citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:8d6de028b81aa4474b6b62599f3634a7cc91f0757b6b80812ab32e59e9f76c6d","observation_id":"a3277bf8-c337-4f81-b174-02fa3cdbeebb","resolution":{"observed_at":"2026-08-14T12:32:25.311621Z","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":"2026-08-14T12:32:25.696326Z","title":null,"venue":null,"work_id":"f87d459e-d2e6-4de3-ad9b-37f9fe7d85ee","year":1976},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.316651Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:e295af8a950e0dc223de723bbf7b123277873ccbea14c2c51f828f07be07fefe","observation_id":"8899c61f-d7f2-49eb-bf62-d8f273e6d04a","resolution":{"observed_at":"2026-08-14T12:32:25.701197Z","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":"2026-08-14T12:32:25.682096Z","title":"Pearl, Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference (Morgan Kaufmann, 1988)","venue":null,"work_id":"1ecde6cf-ff01-46cb-9082-2e4981ba464e","year":1988},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.320986Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:326436811989a0e2580cfe6524415f9f39b9394d0c549eb3bc15b812f8cbb9fe","observation_id":"0e83f6b2-c101-45a9-a255-ee8ce298c3da","resolution":{"observed_at":"2026-08-14T12:32:25.686777Z","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":"2026-08-14T12:32:25.668071Z","title":null,"venue":null,"work_id":"c83d4fa5-4776-4098-8520-32b3d8e392c3","year":2012},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.325459Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:841559c4ee134f18fc82f93fecaa9221333d6ca37c09ffe7010d3dda462f1dac","observation_id":"9c212955-6b64-4f12-a424-2c1e3512a4c7","resolution":{"observed_at":"2026-08-14T12:32:25.672381Z","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":{"arxiv_id":"1807.11695","last_updated":"2019-02-23T15:21:29Z","snapshot_observed_at":"2026-08-14T18:46:05.491017Z","submitted_at":"2018-07-31T07:53:47Z","title":"Generalization of core percolation on complex networks","version":2},"cited_work":{"arxiv_id":"1807.11695","doi":null,"metadata_source":"pith","pith_arxiv_id":"1807.11695","snapshot_observed_at":"2026-08-14T12:32:25.463835Z","title":"Generalization of core percolation on complex networks","venue":"cond-mat.dis-nn","work_id":"b1db11dc-4a0d-4ad5-8005-d8d154514807","year":2018},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.329761Z"},"links":{"cited_paper":"/paper/1807.11695","citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:0940e2c0d0da1d3b15a5fc6fe94054a320920c6079f7ba9e0fff43e7e14d0c99","observation_id":"a456a4e2-0154-47a2-8ddb-5b5351e00b1c","resolution":{"observed_at":"2026-08-14T12:32:25.469018Z","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":{"arxiv_id":"1809.05843","last_updated":"2019-08-08T05:35:04Z","snapshot_observed_at":"2026-08-14T18:27:53.415327Z","submitted_at":"2018-09-16T09:20:40Z","title":"Two faces of greedy leaf removal procedure on graphs","version":2},"cited_work":{"arxiv_id":"1809.05843","doi":null,"metadata_source":"pith","pith_arxiv_id":"1809.05843","snapshot_observed_at":"2026-08-14T12:32:25.444140Z","title":"Two faces of greedy leaf removal procedure on graphs","venue":"physics.soc-ph","work_id":"a7d87c2e-aeb4-4dc8-b4bc-7f135e9c05e9","year":2018},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.334643Z"},"links":{"cited_paper":"/paper/1809.05843","citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:b0e7c24c44406c62c4aceb623e2c6de75e6812c50867d662cda84ce7d24a1f12","observation_id":"9a214fee-e432-4d19-a81f-c6aab916b169","resolution":{"observed_at":"2026-08-14T12:32:25.448950Z","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":"2026-08-14T12:32:25.653303Z","title":"Kirkpatrick, C","venue":null,"work_id":"7118c7e5-7efb-4fa1-8db9-ccfcbb29aafc","year":1983},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.339011Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:dda2f29c57445f6959aa4d9de6bc8b412aeb64d763eb70af1dc0f60189efe0eb","observation_id":"b64d4dbf-26d8-42d7-9386-44899f6374d9","resolution":{"observed_at":"2026-08-14T12:32:25.657836Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:32:25.343197Z","title":"Lucas, Ising formulations of many np problems, Fron- tiers in Physics 2, 5 (2014)","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.343197Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:c85e41318d0f50a18305490d39543e62cc7def0084bf86f3690e5afd382f9cf5","observation_id":"f59e3894-0cd5-4c3a-b37e-8a5612546b53","resolution":{"observed_at":"2026-08-14T12:32:25.343197Z","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":"2026-08-14T12:32:25.628967Z","title":null,"venue":null,"work_id":"00a375e6-3d8f-4170-9e9c-e4e5cb716626","year":2018},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.347615Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:0c4256b57bfb20aca09cd4c0b8670a01ccb3bd2524199702b1a233a0b3c9ba17","observation_id":"b3942a54-580c-4c8b-b832-dbf92ad99bd0","resolution":{"observed_at":"2026-08-14T12:32:25.634208Z","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":"2026-08-14T12:32:25.615165Z","title":null,"venue":null,"work_id":"11e1b47b-d48f-416b-9e13-06d7239cf709","year":1963},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.351754Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:ca3fe088453079961852ce849d981a2648d40f3bcd0d66b6ee26bc1ff8569c9a","observation_id":"3f993755-fce8-4cc5-9dce-3349bb255678","resolution":{"observed_at":"2026-08-14T12:32:25.619621Z","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":"2026-08-14T12:32:25.600823Z","title":"Demartines and J","venue":null,"work_id":"532e9f9e-2306-4878-b15e-a8b117a110a2","year":1997},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.356502Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:166fbb6f10b5fe518be5f32b8ee0f04d8750ebd161025b54095d649328b59ef3","observation_id":"70061074-7e00-49eb-8886-0631c82cda6d","resolution":{"observed_at":"2026-08-14T12:32:25.605401Z","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":"2026-08-14T12:32:25.586605Z","title":null,"venue":null,"work_id":"2afee694-46d3-4e46-a266-034f5b47cfad","year":2010},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.360643Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:be4e1cd129af3429910e1ff2ebe6f2047000066c64b00f0fea5fccd0c98e4c14","observation_id":"cbc0b434-0fb9-4732-8e5b-00d18ea4ee47","resolution":{"observed_at":"2026-08-14T12:32:25.591111Z","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":"2026-08-14T12:32:25.571601Z","title":"Kawamoto and Y","venue":null,"work_id":"fe7b3f9a-d2c4-468b-9608-ec70277f09cb","year":2019},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.365083Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:d26a3fe006016eafbde9731505253b2eae85db68a10939eeed62ae9517cad03d","observation_id":"99f85d30-e4f3-43e3-978c-ab9a56bd218a","resolution":{"observed_at":"2026-08-14T12:32:25.576429Z","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":"2026-08-14T12:32:25.557286Z","title":"M´ ezard and M","venue":null,"work_id":"e3dde117-f0db-4ec7-9c66-1e713b8024c3","year":2007},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.369205Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:41e78d05f162eda3957d904a0548bc599efada89340da99b402927712198bad4","observation_id":"e8eb8680-ad23-4465-8cd8-83701c693d85","resolution":{"observed_at":"2026-08-14T12:32:25.561980Z","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":"2026-08-14T12:32:25.543359Z","title":"Takabe and K","venue":null,"work_id":"2c995d45-df30-485b-9d94-ea998d96e320","year":2014},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.373567Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:1abd24304b3bb93514d0247e7b232cd9d8b70e47c187dc8989b949ce1491cfa2","observation_id":"0ccd3f0a-8b5d-4c6a-8467-54be99ba0529","resolution":{"observed_at":"2026-08-14T12:32:25.547531Z","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":"2026-08-14T12:32:25.529239Z","title":"Zhang, Y","venue":null,"work_id":"49ab9301-2727-498a-918e-eab65516a2fb","year":2009},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.377871Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:f56bdbe92f22be6e69287961e2cb2a8f4e68d7d4bd347d6fd8fe7e4210f102db","observation_id":"aeeb89e7-ddff-4425-949d-bdf427cee8f4","resolution":{"observed_at":"2026-08-14T12:32:25.533577Z","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":"2026-08-14T12:32:25.514676Z","title":"Castellani, F","venue":null,"work_id":"af35cf3d-4e97-4f8a-8b14-6c42116c6ac9","year":2005},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.382231Z"},"links":{"citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:23f34f45c2d21f3b627c60bd90b17be6a9ccce7962a3615de984b31d85b054a4","observation_id":"9fae6400-c876-45b1-9aab-38b3fed18f95","resolution":{"observed_at":"2026-08-14T12:32:25.519421Z","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":"1605.00897","last_updated":"2019-03-09T01:21:57Z","snapshot_observed_at":"2026-08-14T21:59:01.293077Z","submitted_at":"2016-05-03T13:29:30Z","title":"Covering Problems and Core Percolations on Hypergraphs","version":2},"cited_work":{"arxiv_id":"1605.00897","doi":null,"metadata_source":"pith","pith_arxiv_id":"1605.00897","snapshot_observed_at":"2026-08-14T12:32:25.421527Z","title":"Covering Problems and Core Percolations on Hypergraphs","venue":"cond-mat.dis-nn","work_id":"0308dcd0-fd58-491b-a4ac-e18f70370138","year":2016},"citing_paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T12:32:25.386778Z"},"links":{"cited_paper":"/paper/1605.00897","citing_paper":"/paper/1908.07234"},"observation_digest":"sha256:8d3d01f1badaf22c14b0aa0a2690475818135eeb0e96d8a2c968d616e3f84896","observation_id":"42e5dd12-29bd-475d-88f7-a7dcef119245","resolution":{"observed_at":"2026-08-14T12:32:25.428672Z","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"}}],"paper":{"arxiv_id":"1908.07234","last_updated":"2019-08-20T09:19:26Z","latest_version":1,"primary_category":"cond-mat.stat-mech","snapshot_observed_at":"2026-08-16T10:45:20.154819Z","submitted_at":"2019-08-20T09:19:26Z","title":"Statistical mechanics of the minimum vertex cover problem in stochastic block models"},"reference_resolution":{"displayed":28,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":4,"verified_fuzzy":15},"total_outbound_references":28},"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 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.07234."}