{"as_of":"2026-08-21T09:00:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d47601b087ce38fc123a40834e0f5b9d0c620ad84ec3be698d6d5a0b9dad2e7f","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T04:45:40.818269Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T06:37:42.154845Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2407.15162","last_updated":"2024-10-31T12:50:13Z","snapshot_observed_at":"2026-08-16T13:32:22.273921Z","submitted_at":"2024-07-21T13:33:53Z","title":"Random walk on dynamical percolation in Euclidean lattices: separating critical and supercritical regimes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.15162","snapshot_observed_at":"2026-08-08T04:45:40.818269Z","title":"Random walk on dynamical percolation in Euclidean lattices: separating critical and supercritical regimes","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.08568","last_updated":"2025-02-12T16:56:51Z","snapshot_observed_at":"2026-08-16T19:05:01.954451Z","submitted_at":"2025-02-12T16:56:51Z","title":"Biased random walk on the critical curve of dynamical percolation","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-08T04:45:40.818269Z"},"links":{"cited_paper":"/paper/2407.15162","citing_paper":"/paper/2502.08568"},"observation_digest":"sha256:28a1b128577b56020bc898d85724e29155bf13e7a8d645d53feb843a105f91b6","observation_id":"619b47bb-6917-4d61-85ad-3797c25ee472","resolution":{"observed_at":"2026-08-08T04:45:40.818269Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.15162","last_updated":"2024-10-31T12:50:13Z","snapshot_observed_at":"2026-08-16T13:32:22.273921Z","submitted_at":"2024-07-21T13:33:53Z","title":"Random walk on dynamical percolation in Euclidean lattices: separating critical and supercritical regimes","version":3},"cited_work":{"arxiv_id":"2407.15162","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2407.15162","snapshot_observed_at":"2026-07-03T06:37:42.154845Z","title":"Random walk on dynamical per- colation in euclidean lattices: separating critical and supercritical regimes","venue":null,"work_id":"6ea9dc50-3931-4dac-b287-9eb726a5bd77","year":2024},"citing_paper":{"arxiv_id":"2604.07207","last_updated":"2026-04-28T15:41:40Z","snapshot_observed_at":"2026-08-12T06:20:50.982931Z","submitted_at":"2026-04-08T15:30:30Z","title":"Mixing times of step-reinforced random walks","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-10T18:00:17.293248Z"},"links":{"cited_paper":"/paper/2407.15162","citing_paper":"/paper/2604.07207"},"observation_digest":"sha256:963edebb632eab938cdf2c394d4c1b082b486ecd11fb1c7904f7372ccf49fd19","observation_id":"6643fe82-167e-4d85-8710-884f96430ccb","resolution":{"observed_at":"2026-05-11T05:40:59.866933Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.15162","last_updated":"2024-10-31T12:50:13Z","snapshot_observed_at":"2026-08-16T13:32:22.273921Z","submitted_at":"2024-07-21T13:33:53Z","title":"Random walk on dynamical percolation in Euclidean lattices: separating critical and supercritical regimes","version":3},"cited_work":{"arxiv_id":"2407.15162","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2407.15162","snapshot_observed_at":"2026-07-03T06:37:42.154845Z","title":"Random walk on dynamical per- colation in euclidean lattices: separating critical and supercritical regimes","venue":null,"work_id":"6ea9dc50-3931-4dac-b287-9eb726a5bd77","year":2024},"citing_paper":{"arxiv_id":"2607.02477","last_updated":"2026-07-31T11:23:46Z","snapshot_observed_at":"2026-08-16T09:28:32.184504Z","submitted_at":"2026-07-02T17:46:58Z","title":"Mixing times of spin systems on dynamical percolation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-03T06:32:53.544224Z"},"links":{"cited_paper":"/paper/2407.15162","citing_paper":"/paper/2607.02477"},"observation_digest":"sha256:5071d8240db7043743dc0e814d1b6963f9a74bfd149f58a5e43e7dadb0ee993c","observation_id":"4ee39a2b-70ef-4bf5-82de-db97a80e4467","resolution":{"observed_at":"2026-07-03T06:37:42.157404Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.15162","last_updated":"2024-10-31T12:50:13Z","snapshot_observed_at":"2026-08-16T13:32:22.273921Z","submitted_at":"2024-07-21T13:33:53Z","title":"Random walk on dynamical percolation in Euclidean lattices: separating critical and supercritical regimes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.15162","snapshot_observed_at":"2026-08-03T02:11:53.405700Z","title":"Random walk on dynamical percolation in Euclidean lattices: separating critical and supercritical regimes.Preprint, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.02477","last_updated":"2026-07-31T11:23:46Z","snapshot_observed_at":"2026-08-16T09:28:32.184504Z","submitted_at":"2026-07-02T17:46:58Z","title":"Mixing times of spin systems on dynamical percolation","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T02:11:53.405700Z"},"links":{"cited_paper":"/paper/2407.15162","citing_paper":"/paper/2607.02477"},"observation_digest":"sha256:fc06b8d8987dec91076e3a54b5dddc05e8dde848e1ce05231d7ad69ff8e40911","observation_id":"d47f2ab5-8d6a-4fd2-b56b-1b8b66c9739a","resolution":{"observed_at":"2026-08-03T02:11:53.405700Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2407.15162/citation-record","integrity":"/paper/2407.15162/integrity","json":"/paper/2407.15162/citation-record.json","paper":"/paper/2407.15162"},"outbound":[],"paper":{"arxiv_id":"2407.15162","last_updated":"2024-10-31T12:50:13Z","latest_version":3,"primary_category":"math.PR","snapshot_observed_at":"2026-08-16T13:32:22.273921Z","submitted_at":"2024-07-21T13:33:53Z","title":"Random walk on dynamical percolation in Euclidean lattices: separating critical and supercritical regimes"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2407.15162."}