{"as_of":"2026-08-18T13:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:18350b5e87f849c910bc438feed4f1acfb051ce9ce0cad67834c127929260feb","coverage":[{"denominator":12,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T14:30:17.914234Z","state":"measured"},{"denominator":12,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":12,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+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/2608.11198/citation-record","integrity":"/paper/2608.11198/integrity","json":"/paper/2608.11198/citation-record.json","paper":"/paper/2608.11198"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T14:30:17.871143Z","title":"Domination by product measures","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2608.11198","last_updated":"2026-08-11T17:56:09Z","snapshot_observed_at":"2026-08-18T11:39:47.533395Z","submitted_at":"2026-08-11T17:56:09Z","title":"(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on $\\mathbb{Z^d}$, $d > 4$, and $\\mathbb{T}_d$,$ d \\ge 3$","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T14:30:17.871143Z"},"links":{"citing_paper":"/paper/2608.11198"},"observation_digest":"sha256:9fe8588d6d2fe2dba88198de12c5b5d973a6a41db18b26093ffbfb7ed6550e14","observation_id":"b41c1254-d0bb-4658-8b79-c225d9f271ea","resolution":{"observed_at":"2026-08-15T14:30:17.871143Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1402.0298","last_updated":"2020-07-09T18:48:55Z","snapshot_observed_at":"2026-08-18T10:30:28.872227Z","submitted_at":"2014-02-03T07:39:16Z","title":"From loop clusters and random interlacement to the free field","version":7},"cited_work":{"arxiv_id":"1402.0298","doi":null,"metadata_source":"pith","pith_arxiv_id":"1402.0298","snapshot_observed_at":"2026-08-15T14:30:18.098067Z","title":"From loop clusters and random interlacement to the free field","venue":"math.PR","work_id":"317cdd1d-2276-49b9-9ac7-cf6c2f67589f","year":2014},"citing_paper":{"arxiv_id":"2608.11198","last_updated":"2026-08-11T17:56:09Z","snapshot_observed_at":"2026-08-18T11:39:47.533395Z","submitted_at":"2026-08-11T17:56:09Z","title":"(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on $\\mathbb{Z^d}$, $d > 4$, and $\\mathbb{T}_d$,$ d \\ge 3$","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T14:30:17.875738Z"},"links":{"cited_paper":"/paper/1402.0298","citing_paper":"/paper/2608.11198"},"observation_digest":"sha256:0dfa0270f1d5203b602db01f6c4b796ae11c8dbd64624982bd611cc5e39f9d23","observation_id":"341e1571-b050-46d3-b0fb-2bd23c948602","resolution":{"observed_at":"2026-08-15T14:30:18.101573Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1408.1045","last_updated":"2016-01-11T06:57:15Z","snapshot_observed_at":"2026-08-17T17:25:48.722007Z","submitted_at":"2014-08-05T17:33:02Z","title":"Loop percolation on discrete half-plane","version":3},"cited_work":{"arxiv_id":"1408.1045","doi":null,"metadata_source":"pith","pith_arxiv_id":"1408.1045","snapshot_observed_at":"2026-08-15T14:30:18.083707Z","title":"Loop percolation on discrete half-plane","venue":"math.PR","work_id":"40bdf66a-683a-4b93-9188-9c7c776d98a1","year":2014},"citing_paper":{"arxiv_id":"2608.11198","last_updated":"2026-08-11T17:56:09Z","snapshot_observed_at":"2026-08-18T11:39:47.533395Z","submitted_at":"2026-08-11T17:56:09Z","title":"(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on $\\mathbb{Z^d}$, $d > 4$, and $\\mathbb{T}_d$,$ d \\ge 3$","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T14:30:17.880275Z"},"links":{"cited_paper":"/paper/1408.1045","citing_paper":"/paper/2608.11198"},"observation_digest":"sha256:d1c9cb73f91d1cd0a8711bdfa34606abcfc5dbe4872ea46b7d8fbff4b8639d06","observation_id":"87d78cdc-8f54-4326-85ae-461ab5b94934","resolution":{"observed_at":"2026-08-15T14:30:18.087635Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2606.27520","last_updated":"2026-06-25T20:05:57Z","snapshot_observed_at":"2026-08-02T20:54:10.692370Z","submitted_at":"2026-06-25T20:05:57Z","title":"Critical curve of loop percolation on the $d$-regular tree","version":1},"cited_work":{"arxiv_id":"2606.27520","doi":null,"metadata_source":"pith","pith_arxiv_id":"2606.27520","snapshot_observed_at":"2026-08-15T14:30:18.068209Z","title":"Critical curve of loop percolation on the $d$-regular tree","venue":"math.PR","work_id":"02c1038d-0cc1-4f47-a1ac-51fa5879102c","year":2026},"citing_paper":{"arxiv_id":"2608.11198","last_updated":"2026-08-11T17:56:09Z","snapshot_observed_at":"2026-08-18T11:39:47.533395Z","submitted_at":"2026-08-11T17:56:09Z","title":"(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on $\\mathbb{Z^d}$, $d > 4$, and $\\mathbb{T}_d$,$ d \\ge 3$","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T14:30:17.884177Z"},"links":{"cited_paper":"/paper/2606.27520","citing_paper":"/paper/2608.11198"},"observation_digest":"sha256:d7fa23175a5a24e8d2e6499c93d805d9588a4663386891febb18ceb4c22d43c7","observation_id":"bbb08394-01a6-483b-b5e0-a08492d18115","resolution":{"observed_at":"2026-08-15T14:30:18.072452Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2504.02427","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T14:30:18.052246Z","title":"Martineau, R","venue":null,"work_id":"8a5af473-465c-4d2d-8b33-5ccb5ef04dd4","year":2026},"citing_paper":{"arxiv_id":"2608.11198","last_updated":"2026-08-11T17:56:09Z","snapshot_observed_at":"2026-08-18T11:39:47.533395Z","submitted_at":"2026-08-11T17:56:09Z","title":"(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on $\\mathbb{Z^d}$, $d > 4$, and $\\mathbb{T}_d$,$ d \\ge 3$","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T14:30:17.888360Z"},"links":{"citing_paper":"/paper/2608.11198"},"observation_digest":"sha256:3aa917eb769dbd546574f3193f5b6e89d2c3727fd0a041611fdd55595d9c7778","observation_id":"e4a5fd36-b8b7-4bb8-a03e-9ae086d5ebd4","resolution":{"observed_at":"2026-08-15T14:30:18.057605Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T14:30:18.159939Z","title":"Critical parameters for loop and Bernoulli percolation","venue":null,"work_id":"d2b9375e-a682-4a11-89a6-017032c9d40b","year":2021},"citing_paper":{"arxiv_id":"2608.11198","last_updated":"2026-08-11T17:56:09Z","snapshot_observed_at":"2026-08-18T11:39:47.533395Z","submitted_at":"2026-08-11T17:56:09Z","title":"(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on $\\mathbb{Z^d}$, $d > 4$, and $\\mathbb{T}_d$,$ d \\ge 3$","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T14:30:17.892269Z"},"links":{"citing_paper":"/paper/2608.11198"},"observation_digest":"sha256:a1e26a06a0b344c2f84a8104db5269712289025cf83a8101deccfaea0cb87dbf","observation_id":"6a49e190-5213-4e50-81e6-b593c2fb62ac","resolution":{"observed_at":"2026-08-15T14:30:18.164218Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.07145","last_updated":"2025-05-11T23:08:27Z","snapshot_observed_at":"2026-08-18T10:29:55.895751Z","submitted_at":"2025-05-11T23:08:27Z","title":"Nonamenable Poisson zoo","version":1},"cited_work":{"arxiv_id":"2505.07145","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.07145","snapshot_observed_at":"2026-08-15T14:30:17.990343Z","title":"Nonamenable Poisson zoo","venue":"math.PR","work_id":"b8ae1233-e544-4c1c-9439-dc27b88a31f5","year":2025},"citing_paper":{"arxiv_id":"2608.11198","last_updated":"2026-08-11T17:56:09Z","snapshot_observed_at":"2026-08-18T11:39:47.533395Z","submitted_at":"2026-08-11T17:56:09Z","title":"(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on $\\mathbb{Z^d}$, $d > 4$, and $\\mathbb{T}_d$,$ d \\ge 3$","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T14:30:17.896252Z"},"links":{"cited_paper":"/paper/2505.07145","citing_paper":"/paper/2608.11198"},"observation_digest":"sha256:be3d246c93556f597bc4bd50cbf8bce521d814853f41f86846b0b9281c1be914","observation_id":"6b60b62a-9d3b-49cb-b13b-dbd19d0a6278","resolution":{"observed_at":"2026-08-15T14:30:17.993895Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2107.03259","last_updated":"2022-06-29T15:53:27Z","snapshot_observed_at":"2026-08-18T10:30:56.441491Z","submitted_at":"2021-07-07T14:45:31Z","title":"Percolation of worms","version":3},"cited_work":{"arxiv_id":"2107.03259","doi":null,"metadata_source":"pith","pith_arxiv_id":"2107.03259","snapshot_observed_at":"2026-08-15T14:30:17.975412Z","title":"Percolation of worms","venue":"math.PR","work_id":"dbcab988-1530-4684-91ce-3f0e55ce7c78","year":2021},"citing_paper":{"arxiv_id":"2608.11198","last_updated":"2026-08-11T17:56:09Z","snapshot_observed_at":"2026-08-18T11:39:47.533395Z","submitted_at":"2026-08-11T17:56:09Z","title":"(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on $\\mathbb{Z^d}$, $d > 4$, and $\\mathbb{T}_d$,$ d \\ge 3$","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T14:30:17.900055Z"},"links":{"cited_paper":"/paper/2107.03259","citing_paper":"/paper/2608.11198"},"observation_digest":"sha256:a4f7f44fcb4f6e59e034a20f679e6fbfa6ed19839426be51abee87b4cba38ec8","observation_id":"6a8055b4-d7ce-4d4d-8978-2507b099205b","resolution":{"observed_at":"2026-08-15T14:30:17.980155Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00220-012-1649-y","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-18T11:03:46.223893Z","title":"Phasetransitionandlevel-setpercolationfortheGaussian free field","venue":"Communications in Mathematical Physics","work_id":"dc9c3442-c3d0-4ac9-9173-aa2b8bebb3dc","year":2013},"citing_paper":{"arxiv_id":"2608.11198","last_updated":"2026-08-11T17:56:09Z","snapshot_observed_at":"2026-08-18T11:39:47.533395Z","submitted_at":"2026-08-11T17:56:09Z","title":"(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on $\\mathbb{Z^d}$, $d > 4$, and $\\mathbb{T}_d$,$ d \\ge 3$","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-15T14:30:17.903789Z"},"links":{"citing_paper":"/paper/2608.11198"},"observation_digest":"sha256:6520b59a97ba88c367954a77c782f9aa03835c5afdd65003fc8106213d65dd76","observation_id":"00c9c65a-dc00-4636-8a07-b9216b1c4d6a","resolution":{"observed_at":"2026-08-15T14:30:17.964446Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T14:30:17.907266Z","title":"Essential enhancements in Abelian networks: Continuity and uniform strict mono- tonicity","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.11198","last_updated":"2026-08-11T17:56:09Z","snapshot_observed_at":"2026-08-18T11:39:47.533395Z","submitted_at":"2026-08-11T17:56:09Z","title":"(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on $\\mathbb{Z^d}$, $d > 4$, and $\\mathbb{T}_d$,$ d \\ge 3$","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-15T14:30:17.907266Z"},"links":{"citing_paper":"/paper/2608.11198"},"observation_digest":"sha256:5b3caebdb88e4692c658cf9540530bfd9174ad5db53e53d475db19e2f77162ca","observation_id":"7e3e5c0a-f43d-44ad-b7d4-a3057a527de2","resolution":{"observed_at":"2026-08-15T14:30:17.907266Z","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":"10.1093/imrn/rnag084(cited","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T14:30:17.941850Z","title":"1+𝑜(1) asymptotics for loop percolation in five and higher dimensions","venue":null,"work_id":"c64f5804-b681-4f77-b862-7deaf41d0cc4","year":2026},"citing_paper":{"arxiv_id":"2608.11198","last_updated":"2026-08-11T17:56:09Z","snapshot_observed_at":"2026-08-18T11:39:47.533395Z","submitted_at":"2026-08-11T17:56:09Z","title":"(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on $\\mathbb{Z^d}$, $d > 4$, and $\\mathbb{T}_d$,$ d \\ge 3$","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-15T14:30:17.910888Z"},"links":{"citing_paper":"/paper/2608.11198"},"observation_digest":"sha256:142c27d70acc121d559fff6b4cd228934d7098e484467444f10b68ad7392de94","observation_id":"9f5245b8-11ce-48a6-88ce-5e201e5fe797","resolution":{"observed_at":"2026-08-15T14:30:17.947044Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T14:30:17.914234Z","title":"On clusters of Brownian loops in𝑑 dimensions","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.11198","last_updated":"2026-08-11T17:56:09Z","snapshot_observed_at":"2026-08-18T11:39:47.533395Z","submitted_at":"2026-08-11T17:56:09Z","title":"(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on $\\mathbb{Z^d}$, $d > 4$, and $\\mathbb{T}_d$,$ d \\ge 3$","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-15T14:30:17.914234Z"},"links":{"citing_paper":"/paper/2608.11198"},"observation_digest":"sha256:ed9e22484d43a135155bc0bab307d69223b1f797809a82c6f17da9a6ba88d27d","observation_id":"3b4726a0-bc09-4368-b0de-9c0e31ec8100","resolution":{"observed_at":"2026-08-15T14:30:17.914234Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2608.11198","last_updated":"2026-08-11T17:56:09Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-18T11:39:47.533395Z","submitted_at":"2026-08-11T17:56:09Z","title":"(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on $\\mathbb{Z^d}$, $d > 4$, and $\\mathbb{T}_d$,$ d \\ge 3$"},"reference_resolution":{"displayed":12,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":8,"verified_fuzzy":1},"total_outbound_references":12},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2608.11198."}