{"as_of":"2026-08-11T17:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f2416a1995783ca17d18c908fa4850abcc6232a3afc74e228c6bf6ab8dae0c31","coverage":[{"denominator":60,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":60,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T21:04:20.634903Z","state":"measured"},{"denominator":60,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":60,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2501.06612/citation-record","integrity":"/paper/2501.06612/integrity","json":"/paper/2501.06612/citation-record.json","paper":"/paper/2501.06612"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:29.054746Z","title":", \" * write output.state after.block = add.period write newline","venue":null,"work_id":"7dd4e937-7b93-40a6-946f-a78bfa74cc27","year":null},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.164606Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:ae827ff20b11370e91cd1bbe131664e2560947c8337f677100714a0a5536e2e9","observation_id":"a8671104-4116-403b-bf85-d9fdde9b9149","resolution":{"observed_at":"2026-08-10T21:04:29.095417Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:04:28.851785Z","title":"write newline","venue":null,"work_id":"c63b9c06-7e05-4018-8ae8-f65793306ff8","year":null},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.208290Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:83a6839885b4b7887f8780f403e8c502a6868eddabe949ba70e034ec82460c33","observation_id":"7aed44a7-cb6d-4473-b6ac-fc04c2122f30","resolution":{"observed_at":"2026-08-10T21:04:28.914751Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:04:18.229451Z","title":"Albeverio and S","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.229451Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:0cc43ec1514488235b84b4e630bd6a5010006baff8b6f656fa633740ba17cfcd","observation_id":"93be40bf-f87a-49a1-addd-b4923da75a8a","resolution":{"observed_at":"2026-08-10T21:04:18.229451Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.08040","last_updated":"2022-07-15T09:34:32Z","snapshot_observed_at":"2026-08-11T04:56:54.608975Z","submitted_at":"2021-02-16T09:24:43Z","title":"Construction of a non-Gaussian and rotation-invariant $\\Phi ^4$-measure and associated flow on ${\\mathbb R}^3$ through stochastic quantization","version":3},"cited_work":{"arxiv_id":"2102.08040","doi":null,"metadata_source":"pith","pith_arxiv_id":"2102.08040","snapshot_observed_at":"2026-08-10T21:04:28.034746Z","title":"Construction of a non-Gaussian and rotation-invariant $\\Phi ^4$-measure and associated flow on ${\\mathbb R}^3$ through stochastic quantization","venue":"math.PR","work_id":"9b9ecfac-216e-4cf6-9ed7-672a033d271b","year":2021},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.264756Z"},"links":{"cited_paper":"/paper/2102.08040","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:b81990b2a7bbb9db5e24842c6ef31de9170c2253e5056849bc5e7d524cb46e0f","observation_id":"9d42837f-06b4-45f1-833d-1a8bfe8cf456","resolution":{"observed_at":"2026-08-10T21:04:28.049175Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.15493","last_updated":"2025-08-13T21:28:24Z","snapshot_observed_at":"2026-07-06T19:36:45.701678Z","submitted_at":"2024-10-20T20:14:18Z","title":"Global well-posedness of the dynamical sine-Gordon model up to $6\\pi$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.15493","snapshot_observed_at":"2026-08-10T21:04:18.304827Z","title":"Bringmann and S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.304827Z"},"links":{"cited_paper":"/paper/2410.15493","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:e246575252af34387e624fe361443a36e16963ffc55c34dd031691e966bc2ebd","observation_id":"3833dd38-65a5-40d5-a1ed-deb251e2155c","resolution":{"observed_at":"2026-08-10T21:04:18.304827Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.16878","last_updated":"2024-05-30T17:26:00Z","snapshot_observed_at":"2026-07-06T17:50:13.914184Z","submitted_at":"2024-03-25T15:44:41Z","title":"Global well-posedness of the stochastic Abelian-Higgs equations in two dimensions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.16878","snapshot_observed_at":"2026-08-10T21:04:18.332643Z","title":"Bringmann and S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.332643Z"},"links":{"cited_paper":"/paper/2403.16878","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:700b8d770fb6e6b0a9e6ca1106e9ca57b6c325daba0c5547650bff124486e791","observation_id":"452702e4-343f-44be-bdf3-e21aa9ad0176","resolution":{"observed_at":"2026-08-10T21:04:18.332643Z","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":"2026-08-10T21:04:18.382870Z","title":"Bruned , A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.382870Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:cc396a33b6466e0ed86cc2c656202dd70feb5788fe8bb0d17983cf4da9dcebad","observation_id":"ef09eb16-36e3-4825-93f8-f366a844c8a2","resolution":{"observed_at":"2026-08-10T21:04:18.382870Z","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":"10.1007/978-3-319-74929-7","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:23.537121Z","title":"Bruned , I","venue":null,"work_id":"938cd3bd-14a0-488a-b1b9-06a444d819d4","year":2018},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.421923Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:5ef7bce346818f42bbe9e87fc147ba8cbb685f6763afdd0af46d9b36a6ed3047","observation_id":"cce17b41-c241-4f20-8738-8aab1584d001","resolution":{"observed_at":"2026-08-10T21:04:23.561343Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:04:18.445805Z","title":"Bruned , I","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.445805Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:6a5d60085c1a726e4b3d03cb13af20ffae11127f27dbab0718ff3e9a1d4e45e9","observation_id":"2313a99e-d00c-4327-8ce7-23ef70d5facf","resolution":{"observed_at":"2026-08-10T21:04:18.445805Z","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":"2026-08-10T21:04:18.473636Z","title":"Berglund","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.473636Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:e520df51681a570662738893f515fb88e1a218715b79febfc7e9ea2c582a58e5","observation_id":"c663f89b-9a17-4d04-9213-114cc4c5b5f6","resolution":{"observed_at":"2026-08-10T21:04:18.473636Z","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":"2026-08-10T21:04:18.504825Z","title":null,"venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.504825Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:243c68e4e57e9906ca9f0625b08160f010b74f385fce6958de21ec4caf13fbef","observation_id":"1b1e9c9b-02aa-4860-aa27-1bec22cfc794","resolution":{"observed_at":"2026-08-10T21:04:18.504825Z","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":"2026-08-10T21:04:18.549541Z","title":"Barashkov and M","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.549541Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:02f8a0fe643163b07ea4d03bc9a0cb08bdaaa7ffaf5ace70bc201317838d8f7d","observation_id":"bf21c985-0fb8-4bde-b02a-db4a955fbdb4","resolution":{"observed_at":"2026-08-10T21:04:18.549541Z","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":"10.1016/0550-3213(87)90025-3","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:23.231097Z","title":"Bern , M","venue":null,"work_id":"14f483df-7b83-4fc0-8872-256e826deb01","year":1987},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.591638Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:a8574cfa430b0af3296cd9c1d648cc1cd3168604e619425647bc4e7da85ed97b","observation_id":"fab31955-0bc7-43d1-9719-d2b8e57ff39f","resolution":{"observed_at":"2026-08-10T21:04:23.266696Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:04:18.624751Z","title":"Bruned , M","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.624751Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:15e1f3a0b676b012646c25f22ec4f0b7c6cc05258c19c97d9be05d371a13ae56","observation_id":"72071eba-d7fc-4cf0-8e3d-27b339e077bf","resolution":{"observed_at":"2026-08-10T21:04:18.624751Z","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":"2026-08-10T21:04:18.664750Z","title":"Catellier and K","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.664750Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:b6773f500005f2bdf0bc2c984e20483fdc4883e6a292501f793e02dbf60922d3","observation_id":"90f7579e-2b14-49ab-b46d-533475724d64","resolution":{"observed_at":"2026-08-10T21:04:18.664750Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2006.04987","last_updated":"2022-05-25T17:31:32Z","snapshot_observed_at":"2026-07-06T09:27:12.792882Z","submitted_at":"2020-06-08T23:30:31Z","title":"Langevin dynamic for the 2D Yang-Mills measure","version":3},"cited_work":{"arxiv_id":"2006.04987","doi":null,"metadata_source":"pith","pith_arxiv_id":"2006.04987","snapshot_observed_at":"2026-08-10T21:04:27.424892Z","title":"Langevin dynamic for the 2D Yang-Mills measure","venue":"math.PR","work_id":"45fd1f62-f331-4226-9e0b-e28bd3365fb7","year":2020},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.723360Z"},"links":{"cited_paper":"/paper/2006.04987","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:3fd4ee2e73077533d590c9811ef2c8ceafe2c08aa7bfc13551ce25765d2b2137","observation_id":"5f1a5ea8-7d75-4bf1-a4f6-ed0677342b6c","resolution":{"observed_at":"2026-08-10T21:04:27.454885Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.03487","last_updated":"2024-04-15T12:36:27Z","snapshot_observed_at":"2026-08-06T13:19:20.990318Z","submitted_at":"2022-01-10T17:35:32Z","title":"Stochastic quantisation of Yang-Mills-Higgs in 3D","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.03487","snapshot_observed_at":"2026-08-10T21:04:18.759230Z","title":"Chandra , I","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.759230Z"},"links":{"cited_paper":"/paper/2201.03487","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:04fde5783ffbfe646d2c9fef5a886d01e9e51d6d1de4d62353ed3b0e56919720","observation_id":"46dde6ba-2840-476c-85c1-41f40479acdd","resolution":{"observed_at":"2026-08-10T21:04:18.759230Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.05305","last_updated":"2024-03-05T11:54:04Z","snapshot_observed_at":"2026-07-06T15:40:20.267344Z","submitted_at":"2023-06-08T15:54:07Z","title":"A Stochastic Analysis Approach to Tensor Field Theories","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.05305","snapshot_observed_at":"2026-08-10T21:04:18.794893Z","title":"Chandra and L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.794893Z"},"links":{"cited_paper":"/paper/2306.05305","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:b8f310ca2c62c1427698e90c538a0ba3cb02d3a5d60dae4d9add73350b263f88","observation_id":"73993e58-c105-4069-af40-a6d52f3a11ef","resolution":{"observed_at":"2026-08-10T21:04:18.794893Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1612.08138","last_updated":"2018-01-22T14:02:04Z","snapshot_observed_at":"2026-08-10T08:50:07.239761Z","submitted_at":"2016-12-24T04:20:04Z","title":"An analytic BPHZ theorem for regularity structures","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1612.08138","snapshot_observed_at":"2026-08-10T21:04:18.834753Z","title":"Chandra and M","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.834753Z"},"links":{"cited_paper":"/paper/1612.08138","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:9462ca42ad1ea440053bd54092ab110cce29b5d3b513402e7e8e669ab16a4a56","observation_id":"aebb8247-7b1b-4020-845d-c3fbeef390b2","resolution":{"observed_at":"2026-08-10T21:04:18.834753Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.14557","last_updated":"2022-06-29T12:09:27Z","snapshot_observed_at":"2026-07-06T13:25:54.875177Z","submitted_at":"2022-06-29T12:09:27Z","title":"Hopf and pre-Lie algebras in regularity structures","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.14557","snapshot_observed_at":"2026-08-10T21:04:18.894831Z","title":"Chevyrev","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.894831Z"},"links":{"cited_paper":"/paper/2206.14557","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:64bced604ebf4a15f35dbdb74ee6e606a36c2b3e77d29812447aaadc831c26ef","observation_id":"2aa75788-02da-4a74-8879-90988074a6cd","resolution":{"observed_at":"2026-08-10T21:04:18.894831Z","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":"2026-08-10T21:04:18.945893Z","title":"Chevyrev","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.945893Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:637edc1183d49056f9b5928e4369d0779f5627427c64103c9fc26456f722c54c","observation_id":"72c1992f-0228-4e10-97c1-238bdef7e45e","resolution":{"observed_at":"2026-08-10T21:04:18.945893Z","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":"10.1007/s40072-022-00244-y","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:22.874882Z","title":"Chevyrev , B","venue":null,"work_id":"76d10ca9-3ffd-4f0e-b3bc-549676dce262","year":2023},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:18.984867Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:9cb0be80b6461def5356f646cbedffe06a4e3abf6b58f514df9f454b0a721d6f","observation_id":"d6aa2be5-e9bb-4c0f-94ce-2dbacfa97c18","resolution":{"observed_at":"2026-08-10T21:04:22.909828Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1808.02594","last_updated":"2018-08-08T01:44:04Z","snapshot_observed_at":"2026-07-06T06:54:33.404844Z","submitted_at":"2018-08-08T01:44:04Z","title":"The dynamical sine-Gordon model in the full subcritical regime","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1808.02594","snapshot_observed_at":"2026-08-10T21:04:19.034829Z","title":"Chandra , M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.034829Z"},"links":{"cited_paper":"/paper/1808.02594","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:8a28afb2b3fba8f4f41ae1fe71c73fb6e75a997c0173723c46ac7371ec96f60e","observation_id":"5b63a57e-0ba5-4e9e-bb72-1f68fa0a3555","resolution":{"observed_at":"2026-08-10T21:04:19.034829Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.11638","last_updated":"2025-08-21T10:29:35Z","snapshot_observed_at":"2026-08-09T20:33:51.720607Z","submitted_at":"2024-10-15T14:29:14Z","title":"Local well-posedness of subcritical non-linear heat equations with Gaussian initial data","version":2},"cited_work":{"arxiv_id":"2410.11638","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.11638","snapshot_observed_at":"2026-08-10T21:04:26.435133Z","title":"Local well-posedness of subcritical non-linear heat equations with Gaussian initial data","venue":"math.PR","work_id":"b3b9f12a-2028-4965-90e3-886be0c04da9","year":2024},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.074923Z"},"links":{"cited_paper":"/paper/2410.11638","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:839ab7e0d3d831fe646d87256facc5ca10edf7113650d40bf79e87ff957942b5","observation_id":"b4e6eeef-332e-4c32-be7a-701cbe1ce597","resolution":{"observed_at":"2026-08-10T21:04:26.482944Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:04:19.126128Z","title":"Chandra , A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.126128Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:72399f4327179b3a26ab3db7998679173ce378df00900f75840e4e03051d3a98","observation_id":"ffadf42b-f859-408c-8024-0c736f2c251e","resolution":{"observed_at":"2026-08-10T21:04:19.126128Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2205.14488","last_updated":"2024-12-12T18:34:57Z","snapshot_observed_at":"2026-08-10T14:07:10.001802Z","submitted_at":"2022-05-28T17:41:11Z","title":"Norm inflation for the cubic nonlinear heat equation above the scaling critical regularity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.14488","snapshot_observed_at":"2026-08-10T21:04:19.164883Z","title":"Chevyrev , T","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.164883Z"},"links":{"cited_paper":"/paper/2205.14488","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:e5a382618956dd2f78c306aabda6c2a8480a259c61c52424915953cfd088ba96","observation_id":"cb3422ad-3f03-4d1e-a0b7-847bbd8329a7","resolution":{"observed_at":"2026-08-10T21:04:19.164883Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12160","last_updated":"2026-04-06T02:55:46Z","snapshot_observed_at":"2026-07-06T14:55:08.682906Z","submitted_at":"2023-02-23T16:46:52Z","title":"Invariant measure and universality of the 2D Yang-Mills Langevin dynamic","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12160","snapshot_observed_at":"2026-08-10T21:04:19.201180Z","title":"Chevyrev and H","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.201180Z"},"links":{"cited_paper":"/paper/2302.12160","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:65de224759cb3008bd657919b9623d5ff7ee8f9b2568d3fd15bdb0354d4f90ac","observation_id":"a013e864-9d9d-4d67-bf60-2c83a854ef83","resolution":{"observed_at":"2026-08-10T21:04:19.201180Z","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":"2026-08-10T21:04:19.235311Z","title":"Chandra and H","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.235311Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:83671498b5ebc3ef22b22cb18dd8b7e927b73b552e8239b6159a55383570e250","observation_id":"5b58b3c5-a3ca-4c51-b88f-13cc23378aff","resolution":{"observed_at":"2026-08-10T21:04:19.235311Z","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":"2026-08-10T21:04:19.271752Z","title":"Caravenna and L","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.271752Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:acbf80f285a3ac3419cb025049a37d84a6c97747b0d048449e8838b1adfc951e","observation_id":"9cacc89e-27ae-4d72-ae23-bbe7dbe302bb","resolution":{"observed_at":"2026-08-10T21:04:19.271752Z","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":"2026-08-10T21:04:19.305267Z","title":"Duch , M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.305267Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:be05d41a06890c0524a1724331a83fb4860bef04c72eeb9565cb41539f3b7d29","observation_id":"1d249dfd-5717-430a-8072-f132649cb1f6","resolution":{"observed_at":"2026-08-10T21:04:19.305267Z","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":"2026-08-10T21:04:28.710538Z","title":"A symptotic perturbation expansion in the P ( )_2 quantum field theory","venue":null,"work_id":"403a1709-1ae8-4c21-ab46-d603a84a69f5","year":1974},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.345624Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:99422080c51246dffb696284eb724fd8a79f855f10031e194816f858174efcb1","observation_id":"f4183e6c-c3e0-4115-861d-cc5ac04e410d","resolution":{"observed_at":"2026-08-10T21:04:28.759718Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2002.3919","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:25.714859Z","title":"Da Prato and A","venue":null,"work_id":"b927c564-c727-4a7d-b9dd-9c7b0bebdd39","year":2002},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.384986Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:d27ff12fe4b5d89a805d49d1ab36862194e8527ba95df2aa786f31bd7a8d02e5","observation_id":"0d3db16e-41d7-4b3f-a0e8-24e7da17cdfc","resolution":{"observed_at":"2026-08-10T21:04:25.781322Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:04:19.408351Z","title":"Da Prato and A","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.408351Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:5eddd0a41db5870ace3b8ad329d55d88f4abc8be5d8c39c6cb07834435b248f6","observation_id":"5e44ffb0-a25e-4e77-b038-4714f333fc34","resolution":{"observed_at":"2026-08-10T21:04:19.408351Z","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":"10.1007/978-3-031-14031-0","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:22.484752Z","title":"Da Prato and L","venue":null,"work_id":"f59de704-e04c-4a3c-ab3c-6b23374d0c13","year":2023},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.450427Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:285367038b72e4c45fc7877915159d9c18bca0c0f6d65f1a2c348ab4cb712170","observation_id":"e1c0e5e9-0c21-4e97-ae3a-6bb31c3d9eab","resolution":{"observed_at":"2026-08-10T21:04:22.544751Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2109.11380","last_updated":"2025-03-12T12:59:29Z","snapshot_observed_at":"2026-08-11T04:31:05.507071Z","submitted_at":"2021-09-23T13:51:22Z","title":"Flow equation approach to singular stochastic PDEs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.11380","snapshot_observed_at":"2026-08-10T21:04:19.485608Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.485608Z"},"links":{"cited_paper":"/paper/2109.11380","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:125cc607e3a576941646eefbb810a3aa3b43a089ed23d1440d897ba3cc371565","observation_id":"3a131b5d-b0cb-4cd4-97a9-1ea0c58bb11a","resolution":{"observed_at":"2026-08-10T21:04:19.485608Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.16536","last_updated":"2024-12-03T13:09:32Z","snapshot_observed_at":"2026-08-03T01:00:45.108427Z","submitted_at":"2024-11-25T16:21:27Z","title":"A priori bounds for the dynamic fractional $\\Phi^4$ model on $\\mathbb{T}^3$ in the full subcritical regime","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.16536","snapshot_observed_at":"2026-08-10T21:04:19.526358Z","title":"Esquivel and H","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.526358Z"},"links":{"cited_paper":"/paper/2411.16536","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:8fa94f0dded161bc8ff1808bb0980170595124baeb56fdf899d895458f7f3f16","observation_id":"0c6896fb-78c6-4a65-8d85-1a9237e18d6a","resolution":{"observed_at":"2026-08-10T21:04:19.526358Z","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":"2026-08-10T21:04:19.585252Z","title":"Gubinelli and M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.585252Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:6ac94a20324b24b2cedb7e86b8ad7ca5d9b4367ba931f7f4f7f831eae8915da4","observation_id":"87ab7cd5-bdaa-4d26-88f3-66edefa35ab3","resolution":{"observed_at":"2026-08-10T21:04:19.585252Z","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":"10.1007/s40072-024-00328-x","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:22.255179Z","title":"Gubinelli , M","venue":null,"work_id":"6a258332-b1e8-44d5-b445-b049f6aae3d5","year":2024},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.619783Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:1692a7a16cd9a2d51ea7d575e7d34746d31580aa654c65bd52de204020f01b1e","observation_id":"564e0405-58c6-4bd3-a54c-c5226905a640","resolution":{"observed_at":"2026-08-10T21:04:22.295930Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1210.2684","last_updated":"2017-08-15T12:56:25Z","snapshot_observed_at":"2026-08-02T19:05:40.678208Z","submitted_at":"2012-10-09T18:25:01Z","title":"Paracontrolled distributions and singular PDEs","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1210.2684","snapshot_observed_at":"2026-08-10T21:04:19.674826Z","title":"Gubinelli , P","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.674826Z"},"links":{"cited_paper":"/paper/1210.2684","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:7ca5b6d8dbd5e8e551caa63f9d83e56f41f95687ed277fa6f66ca66b12169739","observation_id":"f9659eb3-7aba-41ca-800e-f4cca9c384e9","resolution":{"observed_at":"2026-08-10T21:04:19.674826Z","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":"2026-08-10T21:04:19.714871Z","title":"Glimm and A","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.714871Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:8bd687e32c87cd492f377ab8239b23c47def035b5f620c553ac879ce0fb187fd","observation_id":"4dba6888-d0ab-44ae-8b50-a4676abaa93d","resolution":{"observed_at":"2026-08-10T21:04:19.714871Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.13648","last_updated":"2026-06-17T14:37:52Z","snapshot_observed_at":"2026-08-03T12:46:55.397275Z","submitted_at":"2024-01-24T18:33:15Z","title":"The FBSDE approach to sine-Gordon up to $6\\pi$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.13648","snapshot_observed_at":"2026-08-10T21:04:19.774750Z","title":"Gubinelli and S.-J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.774750Z"},"links":{"cited_paper":"/paper/2401.13648","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:8a3f66bc98b1a2ed061db749122feccaa115c8f8bedf95b4bdebd44a87a646fa","observation_id":"50a1d442-5458-4ef7-8266-7521f0633d8d","resolution":{"observed_at":"2026-08-10T21:04:19.774750Z","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":"2026-08-10T21:04:19.814758Z","title":"Gubinelli and N","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.814758Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:f6f4d240e465c6cca5bf9c8f778b124d1ea48c6eff10db6478417b9d500deb5b","observation_id":"cb357545-d645-4802-96dd-00f3087b0f07","resolution":{"observed_at":"2026-08-10T21:04:19.814758Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1109.6811","last_updated":"2012-07-26T07:13:45Z","snapshot_observed_at":"2026-07-06T02:34:57.286633Z","submitted_at":"2011-09-30T13:00:48Z","title":"Solving the KPZ equation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1109.6811","snapshot_observed_at":"2026-08-10T21:04:19.844894Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.844894Z"},"links":{"cited_paper":"/paper/1109.6811","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:34fd3d562c9ffb9581abdabb0a2c1859d7c1e876b5ee4bc08cd1f8d93d8f2f0d","observation_id":"b7c78287-13fe-4386-b1ac-03ceecde1d26","resolution":{"observed_at":"2026-08-10T21:04:19.844894Z","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":"2026-08-10T21:04:28.584332Z","title":null,"venue":null,"work_id":"d049167c-3ab9-40f1-88f1-fbf160dab83b","year":2014},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.884985Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:e02e4d44b927b7438c1f2d67bce276e4a6765a509d120c60e6bba68ba8b4f86a","observation_id":"339f3a8c-df44-42e6-96cd-edd5fcff1f79","resolution":{"observed_at":"2026-08-10T21:04:28.614832Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1303.5113","last_updated":"2014-02-15T14:39:26Z","snapshot_observed_at":"2026-07-06T03:09:14.953676Z","submitted_at":"2013-03-20T22:41:19Z","title":"A theory of regularity structures","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1303.5113","snapshot_observed_at":"2026-08-10T21:04:19.941039Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.941039Z"},"links":{"cited_paper":"/paper/1303.5113","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:c29ec6078f5662aff3da5e53c30d78b6d62a3a453842423da5b40c545a5ac943","observation_id":"cea2384d-24d4-4013-afc9-59b783a005a7","resolution":{"observed_at":"2026-08-10T21:04:19.941039Z","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":"2409.10037","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:24.417492Z","title":"Hairer , S","venue":null,"work_id":"3d23bdb3-9a0d-42e2-917f-bd3cf64108f3","year":2024},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:19.975016Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:d2fc84fd0aaa1d59788524c562797473e5be54c598bc58412af5f6b1f46690c9","observation_id":"fb56d42e-9f8f-4144-b6e5-73237ad58785","resolution":{"observed_at":"2026-08-10T21:04:24.505820Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1409.5724","last_updated":"2014-09-19T16:55:55Z","snapshot_observed_at":"2026-07-06T03:55:03.137393Z","submitted_at":"2014-09-19T16:55:55Z","title":"The dynamical sine-Gordon model","version":1},"cited_work":{"arxiv_id":"1409.5724","doi":null,"metadata_source":"pith","pith_arxiv_id":"1409.5724","snapshot_observed_at":"2026-08-10T21:04:24.019317Z","title":"The dynamical sine-Gordon model","venue":"math.PR","work_id":"d80fe576-c901-430a-aadd-7fa8101e22fa","year":2014},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:20.034752Z"},"links":{"cited_paper":"/paper/1409.5724","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:3542724282709d15032119aa01538aa6f053de11c9db6ce9a5bf302d1847a39b","observation_id":"0e6dd175-3c20-4d8b-ae51-14ba699fc0ea","resolution":{"observed_at":"2026-08-10T21:04:24.075208Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10955-021-02866-3","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:21.814787Z","title":"Hairer and R","venue":null,"work_id":"9a47ab6a-3ffd-4f62-be1f-6d4d564d63c1","year":2022},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:20.084749Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:6fa6eb810ce59746d862704c7948a8695e751dfe96ca252aafc83ae93f1e0c8b","observation_id":"ce5d213e-6f19-448c-95fe-363e08640d09","resolution":{"observed_at":"2026-08-10T21:04:21.873168Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1410.3094","last_updated":"2015-02-19T12:11:27Z","snapshot_observed_at":"2026-07-06T03:57:07.222888Z","submitted_at":"2014-10-12T14:23:11Z","title":"Renormalization Group and Stochastic PDE's","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1410.3094","snapshot_observed_at":"2026-08-10T21:04:20.145606Z","title":"Kupiainen","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:20.145606Z"},"links":{"cited_paper":"/paper/1410.3094","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:dc1c262709e1997b33cea9903f3281a76043d06271059fe622f0c7a3da6b3ff2","observation_id":"2d8fc9ee-4f80-4807-bd94-1358a1aff9a4","resolution":{"observed_at":"2026-08-10T21:04:20.145606Z","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":"2026-08-10T21:04:20.161806Z","title":"Linares , F","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:20.161806Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:2385c43ab5daea2206f46170006a59bc7492a71eebd0935553c40326fa0c1522","observation_id":"88d2ca91-5a52-4953-bc15-769c06463144","resolution":{"observed_at":"2026-08-10T21:04:20.161806Z","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":"2026-08-10T21:04:28.415518Z","title":null,"venue":null,"work_id":"8d93428d-8d73-42fd-b638-59bd3753244a","year":1998},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:20.204838Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:ec58215a32816774a7a956894b0d331428036cb7b55db5d6029f116c16f05a8b","observation_id":"3a7604a3-84e1-4fee-9c01-918abcfb9289","resolution":{"observed_at":"2026-08-10T21:04:28.464804Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01614211","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:21.515433Z","title":"M agnen and R","venue":null,"work_id":"c32f114e-838a-423c-b7e9-b82da6a5c30d","year":1977},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:20.264752Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:bd6f1afdc1d9463fcc45b20b8691617858f30c2436f1a1df9d59c3763c0f047e","observation_id":"82795cbe-7b9d-415c-9c6f-80d0b900c11a","resolution":{"observed_at":"2026-08-10T21:04:21.565005Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1601.01234","last_updated":"2017-07-27T06:15:41Z","snapshot_observed_at":"2026-07-06T04:42:01.927592Z","submitted_at":"2016-01-06T16:45:07Z","title":"The dynamic $\\Phi^4_3$ model comes down from infinity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1601.01234","snapshot_observed_at":"2026-08-10T21:04:20.304878Z","title":"Mourrat and H","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:20.304878Z"},"links":{"cited_paper":"/paper/1601.01234","citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:64753a72871d6092a70def4db5e417c581f6b6215cbe51148f7dee433bb1763b","observation_id":"0e5feb9d-b9f4-41d7-b30d-29bb6e9ac093","resolution":{"observed_at":"2026-08-10T21:04:20.304878Z","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":"2026-08-10T21:04:20.354872Z","title":"Mourrat and H","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:20.354872Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:8ea81b5e64fa31d4ebf1a3464c9d2a4be6b798ed87454178112d13c4c4a24f0f","observation_id":"eb529e9e-30ad-49cd-b91d-e9092ed22a39","resolution":{"observed_at":"2026-08-10T21:04:20.354872Z","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":"10.1214/19-ejp397","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:21.244847Z","title":"Moinat and H","venue":null,"work_id":"2f5b73d8-0f07-4bb0-a6c8-4a5b25637c10","year":2020},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:20.394852Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:8560824562c49b5d4145eeba27a8e4c79fffb90f048914031fee1577f4041553","observation_id":"87fbfd11-eb62-4a0d-a922-ce25c591e958","resolution":{"observed_at":"2026-08-10T21:04:21.294754Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:04:20.446468Z","title":"Moinat and H","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:20.446468Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:3f03314e5892a818c618da6d8c1aca36f120d2340b5c57d7707169eae3c14be8","observation_id":"a3a8aceb-7a32-4361-beed-5f571751b6ae","resolution":{"observed_at":"2026-08-10T21:04:20.446468Z","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":"2026-08-10T21:04:20.500170Z","title":"Otto and H","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:20.500170Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:b241cafbe5f9af89b6e850eb49d12a27a94c24b187f98fdbbbbcf4d8d8251376","observation_id":"146713ee-d04f-401d-af27-132c419cafbc","resolution":{"observed_at":"2026-08-10T21:04:20.500170Z","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":"2026-08-10T21:04:28.303069Z","title":"Parisi and Y","venue":null,"work_id":"3fe02647-5cda-4067-b2e6-341d92561de2","year":1981},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:20.556368Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:f39cdc7de01ce6be3528855fdb549089ea1b4d4a83d7d7bcac4536908ced9e38","observation_id":"fcf90ed5-f4e9-4c91-aafd-b6915c83435e","resolution":{"observed_at":"2026-08-10T21:04:28.346057Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T21:04:20.594756Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:20.594756Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:d362b9a0f1be065fe0cfdfcf5a3153d666574f2bb31d65169124c7b5a9e28503","observation_id":"a16d1423-c868-4479-acc8-933ccfbfaa9f","resolution":{"observed_at":"2026-08-10T21:04:20.594756Z","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":"10.1214/17-aihp837","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:20.791704Z","title":"Tsatsoulis and H","venue":null,"work_id":"f40e808a-0a63-4d59-b33f-80766312ba27","year":2018},"citing_paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime","version":2},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-08-10T21:04:20.634903Z"},"links":{"citing_paper":"/paper/2501.06612"},"observation_digest":"sha256:0fd20fe68c2e0cc8926dc742ff182d380f11da621574a2822a8bc8936420eca0","observation_id":"c16ead4b-4625-47ca-b400-bf87c74bf801","resolution":{"observed_at":"2026-08-10T21:04:20.828664Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.06612","last_updated":"2025-08-16T18:03:48Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-11T04:56:54.086734Z","submitted_at":"2025-01-11T18:22:35Z","title":"Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime"},"reference_resolution":{"displayed":60,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":41,"verified_exact":15,"verified_fuzzy":4},"total_outbound_references":60},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2501.06612."}