{"as_of":"2026-08-13T17:00:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4d59c6c1f971acce3c852ab52ff06f48ef28607c41dfbb5b9ce62dff2c62b587","coverage":[{"denominator":23,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":23,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T05:12:43.734021Z","state":"measured"},{"denominator":23,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":23,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.22333/citation-record","integrity":"/paper/2607.22333/integrity","json":"/paper/2607.22333/citation-record.json","paper":"/paper/2607.22333"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2408.00717","last_updated":"2024-08-25T18:05:56Z","snapshot_observed_at":"2026-08-12T23:10:05.507614Z","submitted_at":"2024-08-01T17:02:47Z","title":"ISDE with logarithmic interaction and characteristic polynomials","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.00717","snapshot_observed_at":"2026-08-01T05:12:41.274753Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:41.274753Z"},"links":{"cited_paper":"/paper/2408.00717","citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:46466dc9e6dc8dfe66bc5a0a0d635f590f81140baaf70977a8ead2b2e5b0179c","observation_id":"6b6d79cb-8be5-4a90-a4f0-404cb29163f2","resolution":{"observed_at":"2026-08-01T05:12:41.274753Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.06429","last_updated":"2026-05-07T15:34:40Z","snapshot_observed_at":"2026-07-06T23:18:55.724335Z","submitted_at":"2026-05-07T15:34:40Z","title":"$\\mathsf{GL}_N(\\mathbb{C})$ Brownian motion and stochastic PDE on entire functions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.06429","snapshot_observed_at":"2026-08-01T05:12:41.354751Z","title":"S.GL N(C) Brownian motion and stochastic PDE on entire functions.arXiv preprint arxiv:2605.06429(2026)","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:41.354751Z"},"links":{"cited_paper":"/paper/2605.06429","citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:7684ed0cd7db1aa16a903ad2b207dd2316d3673a6e994a89d7972ca74a2c7e72","observation_id":"8b94b1bb-f87e-4e4f-bc13-908dc3d4c239","resolution":{"observed_at":"2026-08-01T05:12:41.354751Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:41.484002Z","title":"Moments of CβE field partition function,Sine β correlations and stochastic zeta.arXiv preprint arXiv:2602.08739(2026)","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:41.484002Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:b30fb9252a7d7b6beeccca4b1126649a35401e955b092f1a2ecef8fe7db2fa2d","observation_id":"8bdbb466-bcfc-433a-b592-69bad6612436","resolution":{"observed_at":"2026-08-01T05:12:41.484002Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:41.562116Z","title":"Determinantal point processes","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:41.562116Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:4e09693fd44b4781320b4130333937c1027087156d9e460a71c7e5e43904ffdb","observation_id":"5a8a9197-da25-4d8b-a652-a48a9d13d62c","resolution":{"observed_at":"2026-08-01T05:12:41.562116Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:41.678536Z","title":"14 of De Gruyter Studies in Mathematics","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:41.678536Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:ad8a51cb6720e39dcf6ebd5fac2b41d57329544abc36e585992276c7534cb628","observation_id":"296d2a9b-4ea5-40e8-9bc7-6f73cb3b055d","resolution":{"observed_at":"2026-08-01T05:12:41.678536Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:41.793557Z","title":"Diffusing particles with electrostatic repulsion.Probab","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:41.793557Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:c3402aeb148c5c66dde1c31d5cd1f396b18e4be9c812003a76fe29196b27f634","observation_id":"1a3ddfa6-eeca-4f98-b021-c29964b94e9e","resolution":{"observed_at":"2026-08-01T05:12:41.793557Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:41.860115Z","title":"35 ofLondon Mathematical Society Monographs","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:41.860115Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:78c1beb3d739e1285dfb9c05f84aef61a0e7940ca2cc32e37a3c3fe0b7b0254b","observation_id":"de952354-4662-41cc-8158-00e8665f7bd6","resolution":{"observed_at":"2026-08-01T05:12:41.860115Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:41.946685Z","title":"Rigidity of the Sineβ process.Electronic Communications in Probability 23, 94 (2018), 1–8","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:41.946685Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:534dc9f3efdb87c00f6f83f9031ec4792b39958d58e4a64e225fe73650d6a8ca","observation_id":"9da3327a-4267-4239-93d8-60b02afbe846","resolution":{"observed_at":"2026-08-01T05:12:41.946685Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:42.016500Z","title":"DLR equations and rigidity for the sine-beta process.Comm","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:42.016500Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:b5b8a7d05492adfaf1cfb5772de125f689e2a918be89739e37bc1357f17ce99d","observation_id":"15418903-0e1a-40f7-844c-4595a5ccb4e5","resolution":{"observed_at":"2026-08-01T05:12:42.016500Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:42.207166Z","title":"Infinite-dimensional stochastic differential equations related to Bessel random point fields.Stoc","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:42.207166Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:5950d9b4c671644c6d826837a4cbd294970c02aaf17235a7a20c804088dfa613","observation_id":"be928117-4c07-4158-bc0c-af8430062e71","resolution":{"observed_at":"2026-08-01T05:12:42.207166Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:42.353716Z","title":"Random matrices and determinantal processes","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:42.353716Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:21838a1eeccbb4a58f585bf6915489bee521812cab750de040a66c0981516b0b","observation_id":"7a5d9044-032d-4723-9b97-4726c8663e58","resolution":{"observed_at":"2026-08-01T05:12:42.353716Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:42.487681Z","title":"Springer, 1990","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:42.487681Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:06fbc2d4b245ca1a209afe439d1ca3353b88bd2a67392eff5470d9fa477d82fa","observation_id":"09465b6f-74a4-4cb3-af54-a5af4c8c2336","resolution":{"observed_at":"2026-08-01T05:12:42.487681Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:42.599666Z","title":"Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions.Comm","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:42.599666Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:83bfd295916b15b8d37c17e3f0456d34621ab94bb3a114a150301832ecc05189","observation_id":"7e434e23-0f8a-45e4-a8d9-af3acce4bb94","resolution":{"observed_at":"2026-08-01T05:12:42.599666Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:42.706126Z","title":"Non-collision and collision properties of Dyson’s model in infinite di- mension and other stochastic dynamics whose equilibrium states are determinantal random point fields","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:42.706126Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:67a187d3da3a870bf36b04728bd396a45a8ea8ce5b6882831cb4e48d5d4bb104","observation_id":"cb2774c9-bb34-47aa-92dc-324670215201","resolution":{"observed_at":"2026-08-01T05:12:42.706126Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:42.896501Z","title":"Infinite-dimensional stochastic differential equations related to random matrices.Prob","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:42.896501Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:cb01da8cb99470a66ebb2d59e55dca8d30992cf2fea5c364d06532a68904bd24","observation_id":"2d745b4d-a63a-4ff8-9091-db96e250dadc","resolution":{"observed_at":"2026-08-01T05:12:42.896501Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:43.105926Z","title":"Infinite-dimensional stochastic differential equations and tailσ-fields.Probab","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:43.105926Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:bcaf44790720706fbcf707682eda355744b451f6f8cdea728413387dc2213509","observation_id":"beb88b4f-c295-4472-9aee-29a7b231e0c8","resolution":{"observed_at":"2026-08-01T05:12:43.105926Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:43.222515Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:43.222515Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:4a5fe5774958761c3543463339f57415cf75ee251745b976708064d51771038a","observation_id":"856d104e-ae75-4196-a81f-b5d048162973","resolution":{"observed_at":"2026-08-01T05:12:43.222515Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:43.307476Z","title":"A.,andRider, B","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:43.307476Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:ed66c2b29b5e5383a54b05acedcd8b685c1d4030a414ba9aa2194b29ce76c11d","observation_id":"416eb5a3-2983-4652-a35b-9118eb0d05bb","resolution":{"observed_at":"2026-08-01T05:12:43.307476Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:43.427614Z","title":"A., Rider, B.,andVir ´ag, B","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:43.427614Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:53f39492885eadd40ae7b514e3e1cf31205ea77e237861131d46a5dba9c3b5fe","observation_id":"5837b68a-08b2-493a-91ee-7983900b7cef","resolution":{"observed_at":"2026-08-01T05:12:43.427614Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.03192","last_updated":"2021-10-11T10:38:42Z","snapshot_observed_at":"2026-08-13T08:18:40.165483Z","submitted_at":"2021-09-07T16:56:21Z","title":"Configuration spaces over singular spaces -- I. Dirichlet-Form and Metric Measure Geometry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.03192","snapshot_observed_at":"2026-08-01T05:12:43.528969Z","title":"D.,andSuzuki, K","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:43.528969Z"},"links":{"cited_paper":"/paper/2109.03192","citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:e0b7fbe107a32d8d566d367dc22bd933ab766706911bc1a735b6a93ff00f8644","observation_id":"ee73111d-22e8-4539-ae3d-8510e25b0e90","resolution":{"observed_at":"2026-08-01T05:12:43.528969Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:43.614162Z","title":"Determinantal random point fields.Russian Mathematical Surveys 55, 5 (2000), 923–975","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:43.614162Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:2c3c4b0d9563b94bd31aa73cf91db445a1772d729bce9224cf949583dc4df2c8","observation_id":"adab50f7-b56c-414e-b4b7-89bbebdd4a43","resolution":{"observed_at":"2026-08-01T05:12:43.614162Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:43.681612Z","title":"On The Ergodicity Of Interacting Particle Systems Under Number Rigid- ity.Probab","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:43.681612Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:4c3a46f62ef6cafa67d9e3c9441a80c6760e380d854878ffe65a61617a854037","observation_id":"11eefdfe-0c6f-48e5-ba7c-a14fe7227271","resolution":{"observed_at":"2026-08-01T05:12:43.681612Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:12:43.734021Z","title":"Infinite dimensional stochastic differential equations for Dyson’s model","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:43.734021Z"},"links":{"citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:23bff3457dceeda8a91b06922b6b362f7cfef6ac242d28570180cc8be201c55f","observation_id":"cbc5f672-623b-428d-91d4-0a37f665d51b","resolution":{"observed_at":"2026-08-01T05:12:43.734021Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-06T06:56:09.558978Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space"},"reference_resolution":{"displayed":23,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":23,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":23},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2607.22333."}