{"as_of":"2026-08-07T06:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ffb779c18ff38ae4a7a0c5d7cfc6fac52c6978f1846480dc9dc80a527f18181f","coverage":[{"denominator":49,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":49,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-30T20:40:38.972409Z","state":"measured"},{"denominator":49,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":49,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-06T06:34:29.942622+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/2605.14616/citation-record","integrity":"/paper/2605.14616/integrity","json":"/paper/2605.14616/citation-record.json","paper":"/paper/2605.14616"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-07T19:24:06.885884Z","title":"A., Fournier, J","venue":null,"work_id":"ab92cead-be5b-4654-a6a8-2f34b203ebf3","year":2003},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:4e0312b14355b1f5686c632fb5a31409245f6235ebf9f8dedcd03930cebf50d6","observation_id":"8d2b5e3f-8907-4c4e-8bfe-96714fa4c577","resolution":{"observed_at":"2026-07-07T19:24:06.887673Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.882718Z","title":"V., Il’in, V","venue":null,"work_id":"31c241f1-3ca7-4d54-b237-8db327e21e12","year":1978},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:1b964437f6c048f2084fa210a8b87a0f8829ea2dc34929edbb255962942436b3","observation_id":"b6178e76-3bd4-4baf-8d20-585923dd61a3","resolution":{"observed_at":"2026-07-07T19:24:06.884901Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.984014Z","title":"I., Gaussian measures,Mathematical Surveys and Monographs62, American Mathematical Society, Providence, RI (1998)","venue":null,"work_id":"548fa3c2-6d3b-40f2-a7b7-02ab891a9794","year":1998},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:54e6f9f62281dd4d1f2e68129919b95e02414a32529d537fe1704c619cf11c27","observation_id":"c444781c-c327-46d6-b753-0d66b15ba93b","resolution":{"observed_at":"2026-07-07T19:24:06.986982Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.01621","last_updated":"2025-03-03T14:54:31Z","snapshot_observed_at":"2026-08-02T11:32:02.450285Z","submitted_at":"2025-03-03T14:54:31Z","title":"Multi-index Based Solution Theory to the $\\Phi^4$ Equation in the Full Subcritical Regime","version":1},"cited_work":{"arxiv_id":"2503.01621","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.01621","snapshot_observed_at":"2026-07-01T14:35:47.052729Z","title":"Broux, F","venue":null,"work_id":"2c1bf04c-056a-464b-be42-fdb66a301e3c","year":2025},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"cited_paper":"/paper/2503.01621","citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:677eefa88cfcc8c8c10d15433dafff43b098414aa85a57ff11d789e2bc4a6f7e","observation_id":"c1eeb4e4-f9d6-4980-be4e-397ef576bb10","resolution":{"observed_at":"2026-07-01T14:35:47.054014Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2401.05935","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-01T14:35:47.047118Z","title":"Broux, F","venue":null,"work_id":"7a093f09-bbbb-463c-97c8-6c82e4ac498c","year":null},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:ca10165f3116b0bf1eda1fe540c298cd76102ccdeb7f8eeb250f8b009523a3a8","observation_id":"cf7bc711-6bf1-44aa-bae0-61d69293c277","resolution":{"observed_at":"2026-07-01T14:35:47.048509Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.979731Z","title":null,"venue":null,"work_id":"d9477475-dcf9-4005-9e48-6acd6c5c0342","year":2024},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:e4e44748c1a79f6d7dde6e10008266b13650cf247c1b691f5fa05918f8bc4796","observation_id":"9bf53e52-35fa-475e-90a3-ae24e8a306a6","resolution":{"observed_at":"2026-07-07T19:24:06.982358Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.955190Z","title":null,"venue":null,"work_id":"16db40aa-c53a-4434-bbcc-1cf5a29a8dac","year":2023},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:9796498079bdae9e56da087c2d848eacfc3b54e92fb342141c62280275652972","observation_id":"30780594-998a-4949-9f25-f6c7cf4e130b","resolution":{"observed_at":"2026-07-07T19:24:06.956907Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.958035Z","title":null,"venue":null,"work_id":"7c894ffc-ab79-4ac8-b63d-86c585476f27","year":2021},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:bcbb4eea02ad8a97efe3093ae85bd5a73d7fb8da9cbbee4c8430c06f6ec5ffc7","observation_id":"9da2cb59-100b-4bb1-b278-df1d68ef8e8b","resolution":{"observed_at":"2026-07-07T19:24:06.960008Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.948249Z","title":"Math.215(2019), 1039–1156","venue":null,"work_id":"053f39cc-33e6-4e90-9dcf-e6e4e665f62b","year":2019},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:c32b2273e208ca252284661d9c62c7b54207d5c9933872cec6e2b4ef28c18b9f","observation_id":"8fc67b1c-cc6c-448f-8d43-a726ed738298","resolution":{"observed_at":"2026-07-07T19:24:06.950623Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.951791Z","title":"Math.237(2024), 541–696","venue":null,"work_id":"46cc3ffd-2a2f-4ef0-b33a-29a7846eddd8","year":2024},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:2d4814e044d68f230ea28d12f8e85a7b93e0ddae6a483d2b236458df7ea53161","observation_id":"056ec624-67c8-448e-a88c-9f4788ee48c9","resolution":{"observed_at":"2026-07-07T19:24:06.954187Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.939301Z","title":null,"venue":null,"work_id":"521eb9f1-462d-4bb9-a6a9-297e4d2898d7","year":2022},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:8ad01cbe2b05145c2e0a5a2ddff039fbd893850022675faeb01c232b61a7966c","observation_id":"408608ee-0111-4ccc-a482-3fda14262fd0","resolution":{"observed_at":"2026-07-07T19:24:06.941262Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1612.08138","last_updated":"2018-01-22T14:02:04Z","snapshot_observed_at":"2026-07-06T05:24:02.690861Z","submitted_at":"2016-12-24T04:20:04Z","title":"An analytic BPHZ theorem for regularity structures","version":5},"cited_work":{"arxiv_id":"1612.08138","doi":"10.48550/arxiv.1612.08138","metadata_source":"pith","pith_arxiv_id":"1612.08138","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"An analytic BPHZ theorem for regularity structures","venue":"math.PR","work_id":"34a072c5-5051-41fc-90c9-1cc6dc69b0f4","year":2016},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"cited_paper":"/paper/1612.08138","citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:f32547711dd814626b5f7df6d5c64ab192bd13e75075a279c6fdb24149960df4","observation_id":"c50eb589-15f2-463d-ad20-215b63d40e92","resolution":{"observed_at":"2026-07-01T14:35:47.041244Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.942158Z","title":null,"venue":null,"work_id":"51ed0aed-9883-42a4-9e0c-bb71e03df42a","year":2020},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:a2dbfb864511ae487390e09fb1c4ccce558f6090d55d03c6cdc7df060d01f7cb","observation_id":"8a2c1f09-e522-4b20-b05b-ff88a15b362b","resolution":{"observed_at":"2026-07-07T19:24:06.944101Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"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":"2302.12160","doi":"10.48550/arxiv.2302.12160","metadata_source":"pith","pith_arxiv_id":"2302.12160","snapshot_observed_at":"2026-07-10T06:15:00.866473Z","title":"Invariant measure and universality of the 2D Yang-Mills Langevin dynamic","venue":"math.PR","work_id":"0174d2f4-abde-4996-ad90-d621209b756e","year":2023},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"cited_paper":"/paper/2302.12160","citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:3a8006f346c71a5bc4611f78e9650ac803d2ae816945786217112cc430e83dcc","observation_id":"06668e86-4ff6-4e6c-aaf2-16017e7ef6ca","resolution":{"observed_at":"2026-07-01T14:35:47.045869Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.933630Z","title":null,"venue":null,"work_id":"dbb3169c-167b-47df-96e6-e68034c32b39","year":2022},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:0eafad680fdaf9ea991802180a2401870232d253d77b51dd8c985b8137de9f17","observation_id":"4b2ea26f-62f9-47b3-b4d4-4bb0507e49a5","resolution":{"observed_at":"2026-07-07T19:24:06.935203Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"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":"2206.14557","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2206.14557","snapshot_observed_at":"2026-07-01T14:35:47.050065Z","title":null,"venue":null,"work_id":"a6db7552-fd06-418b-b66a-91dd0bf15f8f","year":null},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"cited_paper":"/paper/2206.14557","citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:f36abc112535823b8c7e410b3b11ade63bb0bbe5172fdfb453a105adbbd651bb","observation_id":"4b6d59bf-70f7-4af4-92b8-6138c7941605","resolution":{"observed_at":"2026-07-01T14:35:47.051402Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.936103Z","title":"Appl.152, Cambridge University Press, Cambridge (2014)","venue":null,"work_id":"3734c5f1-5a9d-499d-ae4b-c4f6b98817e5","year":2014},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:ef8c7bb802678795e28e0c2e49a60cd9dfa32654a284acfc126e24927b9ed1f2","observation_id":"98ce8e64-2829-4519-944c-3214602fb902","resolution":{"observed_at":"2026-07-07T19:24:06.938417Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.944836Z","title":"M., Deforming metrics in the direction of their Ricci tensors,J","venue":null,"work_id":"8df224de-90ff-4a23-b18b-18ae0d6ae8ae","year":1983},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:7a682152f65bd9cbe471a7efd4d27c413ab50ea3e099a248a3c0050acae88035","observation_id":"ad31004c-ef57-481d-8869-94629136de98","resolution":{"observed_at":"2026-07-07T19:24:06.947311Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.968779Z","title":null,"venue":null,"work_id":"22ce684f-01ee-4875-95ef-b4f55936f964","year":2012},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:d749cabf6353b9d71ab530b3e9bb9a268bd625aed1316463b92360222607aed8","observation_id":"77947cb7-4970-4661-b1b7-3890f9e4d834","resolution":{"observed_at":"2026-07-07T19:24:06.971097Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.976036Z","title":"K., YM2: continuum expectations, lattice convergence, and lassos,Comm","venue":null,"work_id":"162e0107-22f3-4857-b59c-61ae75641dd3","year":1989},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:e819d02a826e2358df27539299195935668fe12010ec00700ea20fac65a121ac","observation_id":"f47141ee-6a96-41f5-8f9b-74dbbc1e7521","resolution":{"observed_at":"2026-07-07T19:24:06.978731Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.922151Z","title":"D., Slavnov, A","venue":null,"work_id":"0cc3ea1e-cdf2-4279-b6a2-af541db118a2","year":1980},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:8f8ef428b61c42faf0d39141f3e763adaede1bb344511ff03914612287b09b90","observation_id":"bbb33f02-53fe-4c3b-8e68-898224fd8a5f","resolution":{"observed_at":"2026-07-07T19:24:06.924139Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.871860Z","title":"With an introduction to regularity structures, Universitext, Springer, Cham (2020)","venue":null,"work_id":"5b07522e-b022-4404-af0f-ceef191b8841","year":2020},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:9bd1f715649a74051cf07caf297f40368d9947f84822555ab294a5ea69a22c21","observation_id":"bea6177b-319e-41d5-88b6-453c9132cc39","resolution":{"observed_at":"2026-07-07T19:24:06.874774Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.868289Z","title":null,"venue":null,"work_id":"a7149aa8-decd-4832-a202-1da8f6e44239","year":2012},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:8fe511ba3a88dabda9adfb880ffd1ecfbbd774581ff5523efbbd9fbb7949cd0d","observation_id":"5b00427b-aaa8-40e1-ae84-090f5d35f342","resolution":{"observed_at":"2026-07-07T19:24:06.870902Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.875915Z","title":"Physics194(1989), 65–112","venue":null,"work_id":"0deca07d-dce0-423f-a458-377f186282c0","year":1989},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:53ab0aad7f9cce027853949519822ee6819b8791b0a8dd77dd3f096500133e10","observation_id":"fbaf72fe-7b8c-4416-bb77-eb085a1a9f8e","resolution":{"observed_at":"2026-07-07T19:24:06.878354Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.879674Z","title":null,"venue":null,"work_id":"7e4ca85e-b2be-4dee-9117-14ce3cdc540d","year":2024},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:478047bf87a44ed5e515be12f9981b343718e06d11e7b25d79d45f009009a90b","observation_id":"7765d550-1551-4b20-b42a-c7b56f63699d","resolution":{"observed_at":"2026-07-07T19:24:06.881777Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.930912Z","title":null,"venue":null,"work_id":"a01d1908-0784-480e-8f12-1a6412a987cc","year":2017},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:ac6cfeac5eb913a4abe224f01f820fe374fc5b9cbac5a80e6cddce5ac8f56c85","observation_id":"9296adca-ef5e-40eb-adcb-ce5a761d07fd","resolution":{"observed_at":"2026-07-07T19:24:06.932663Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.913063Z","title":null,"venue":null,"work_id":"6a7cd8ba-2d8b-4b0f-98a3-da4bb6ea8e78","year":2015},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:54cf55225f8fb8dfdd22ece8a3b1aa288178ed884a6ba0d8b89e6b9cefcaad0f","observation_id":"ed13f869-9dc7-41dd-a1bc-56471c308737","resolution":{"observed_at":"2026-07-07T19:24:06.915147Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.928192Z","title":null,"venue":null,"work_id":"ce083b7e-98b6-46ed-bc64-144db004ada3","year":2014},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:205c702e6cbdfdecb9838b21e5fd43a888b3b54c597dbdc6f8bdd47417a6dccd","observation_id":"fd422ae1-dd80-4ff4-8244-4d0843ec3352","resolution":{"observed_at":"2026-07-07T19:24:06.929901Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.972406Z","title":"Math.198(2014), 269–504","venue":null,"work_id":"912bd10d-d822-4632-b356-7e2bdddbbbbd","year":2014},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:54f682c6c7bbc6e24461a3b79d76e43a24067183b99a5cf788a4b87190d257f0","observation_id":"3f2c86d1-dd5b-4782-b32c-a35b038b57fd","resolution":{"observed_at":"2026-07-07T19:24:06.974774Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.991928Z","title":"An infinite dimensional calculus, Mathematics and Its Applications253, Kluwer (1993)","venue":null,"work_id":"c7c35bee-d654-4dea-90f1-8519574fad72","year":1993},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:31f9b540307769c02b0c07bb66e446a6f5b10511971af0861646f5cd097d969f","observation_id":"19a64293-ae24-4163-9e94-e35c51d40f6c","resolution":{"observed_at":"2026-07-07T19:24:06.994365Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.961465Z","title":"7; the description of the problem is available at the web site https://www.claymath.org/millennium/yang-mills-the-maths-gap/","venue":null,"work_id":"94959261-9e7d-4f5a-bdda-bf490f2e3dbe","year":null},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:78d8632400e235acc9ce653a22587687795fcb97771e6bb43ba191139a7bdb67","observation_id":"510acbed-11de-4544-bad1-3e73b2e06039","resolution":{"observed_at":"2026-07-07T19:24:06.963893Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.964814Z","title":null,"venue":null,"work_id":"2b09dfbe-7a4a-427f-9462-fb4a32402b83","year":2022},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:edb77c331cedd26fae7bd5e75f88a52a5a3bfbebf8e16b34bc3f2bcbb68b8419","observation_id":"f1a92c2d-544c-4892-960c-8e23855c05b5","resolution":{"observed_at":"2026-07-07T19:24:06.967305Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:07.006603Z","title":"N., Lectures on elliptic and parabolic equations in H¨ older spaces,Graduate Studies in Mathematics12, American Mathematical Society, Providence, RI (1996)","venue":null,"work_id":"5369f23a-3cc7-4c75-a9c0-bd5bff306a4d","year":1996},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:d4ada2740b22a29e17ad778b0edd3c98c7ebc1d3dc7151bbb7a65c7c9d0f0d19","observation_id":"4d106986-f7d0-46c6-9259-6f26e2365f19","resolution":{"observed_at":"2026-07-07T19:24:07.008623Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.910207Z","title":null,"venue":null,"work_id":"0d3dabbf-ad30-4d84-9781-44eea2d87ae9","year":2003},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:8d1397cc6a2971c33b61b9032e3dcb964e1274a87d5c9f084907814697e238b6","observation_id":"0081f11f-ebab-4033-9f7a-b2883843fbaf","resolution":{"observed_at":"2026-07-07T19:24:06.912027Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.916264Z","title":"Math.237(2024), 1469–1565","venue":null,"work_id":"93d67316-16e8-42b9-931e-1b587036133d","year":2024},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:c4eefaec9eb69b906328acaf8bb0233beb3bb8864e6e8f08d8a41828eed43507","observation_id":"f94979e3-7b03-48e5-941a-985950fe822d","resolution":{"observed_at":"2026-07-07T19:24:06.918411Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.988639Z","title":null,"venue":null,"work_id":"2937e3cb-0ba3-4960-b32c-8b27b81dacc8","year":2023},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:dd3cda2571956fd2aea38a54b94df0cb6d08505674bc4b2c4a74b8f6096e6f4f","observation_id":"b6dff564-3464-42cd-8998-47afce834bc4","resolution":{"observed_at":"2026-07-07T19:24:06.990873Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2207.10627","last_updated":"2022-07-21T17:32:43Z","snapshot_observed_at":"2026-07-06T13:33:54.916595Z","submitted_at":"2022-07-21T17:32:43Z","title":"A tree-free approach to regularity structures: The regular case for quasi-linear equations","version":1},"cited_work":{"arxiv_id":"2207.10627","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2207.10627","snapshot_observed_at":"2026-07-01T14:35:47.042208Z","title":"[LOT23] P","venue":null,"work_id":"52fab890-fdfc-4c52-99fd-236246fe3022","year":2022},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"cited_paper":"/paper/2207.10627","citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:5fc9bf1b306b667990758cf27273ceeae5660a33b2e0e22160ba9985168f5579","observation_id":"eeffa16f-ff55-4823-9a84-e5c1b7f44f84","resolution":{"observed_at":"2026-07-01T14:35:47.043478Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.995216Z","title":"A., Weber, H., A priori bounds for quasi-linear SPDEs in the full subcritical regime,J","venue":null,"work_id":"c34382d8-3356-4247-8581-6eaaf734b800","year":2025},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:84e88f1cca366673af446be264c9352c22925d2c42fa36f48323b067cc9e50f3","observation_id":"4f077114-b678-4668-9a63-ae84eb678a39","resolution":{"observed_at":"2026-07-07T19:24:06.999790Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.904842Z","title":"Contemp.58(2023), 150–196","venue":null,"work_id":"d9b9a4d3-eb7d-4b15-8a9a-2af55bada7e5","year":2023},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:7f3d0c331e823175d12f340b221c1745005d23a554dfe518face4fa29c185079","observation_id":"97b0626a-0622-499a-84e4-f810585287cf","resolution":{"observed_at":"2026-07-07T19:24:06.906552Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:07.003582Z","title":"Sinica24, no","venue":null,"work_id":"ffd8a6ed-6734-4b21-b5d0-4bbc269ebb6b","year":1981},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:996600dc10b1e5a2ed7964589cf790df2dd81215df48b3ea5a1f942759c1a14c","observation_id":"9fa22dc8-6e01-4641-af43-f87d2797bb2c","resolution":{"observed_at":"2026-07-07T19:24:07.005455Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:07.000910Z","title":null,"venue":null,"work_id":"7db52ec5-f252-4539-ba91-0450da2690bc","year":1980},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:323554d9c8aa15d0f6d4ea4e8f5a4c4102cdb6359ed8e3ba1fa4034db7f7ac27","observation_id":"fed846b9-c7a7-4d86-a5be-3ee30b954fd5","resolution":{"observed_at":"2026-07-07T19:24:07.002645Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.901863Z","title":null,"venue":null,"work_id":"045d833c-aa92-4173-8495-24ad78eca342","year":1997},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:c4c271b16c458b4f7998548a9c05b1fc0971f286a22cb0ef14b618e05187d7df","observation_id":"0460fb5b-2d1d-4443-94b0-7a91475b750f","resolution":{"observed_at":"2026-07-07T19:24:06.903706Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.907530Z","title":null,"venue":null,"work_id":"d5cbb89b-2127-40f3-9d8b-97457a11404d","year":2022},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:f7eb182b13665b71034a1e3406ffc737fbfbda8fd7723d13c27d08215c1f3582","observation_id":"22ccef0f-9605-41d3-b83a-0761fe82a039","resolution":{"observed_at":"2026-07-07T19:24:06.909337Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.919380Z","title":"Theory Related Fields192(2025), 373–429","venue":null,"work_id":"54546082-f1c0-47a7-825a-13b14a421510","year":2025},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:9045d1053219fbb20d2bf1d38bf1545c0e56142a3dc551a49335c90afd6f5ff8","observation_id":"011b168a-3be4-4bd3-98b1-d12e1ccd75aa","resolution":{"observed_at":"2026-07-07T19:24:06.921272Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.924997Z","title":"III,Monogr","venue":null,"work_id":"88968593-da71-47cc-a199-1ed3ba061020","year":2006},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:6217bf9aa7ed5dd675ff189c366fd184bf43841e86cee8ac702eeb5f8d4cd51c","observation_id":"e74c2502-8a84-4c37-962f-7669a9de660f","resolution":{"observed_at":"2026-07-07T19:24:06.927074Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.898458Z","title":null,"venue":null,"work_id":"60f3a077-4cfc-468e-a0e1-235be74fe325","year":2008},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:472e78f4b7fe6e1f5b9d4d41ec234331eb5275f1aa4c689247199aad6d838f66","observation_id":"58af9917-8d6a-461d-8bb3-4d172838b0aa","resolution":{"observed_at":"2026-07-07T19:24:06.900576Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.891623Z","title":null,"venue":null,"work_id":"3eb0947c-9fcc-4666-9755-2ad750721566","year":2010},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:a5b17cb2e13ca9961003e541611d5704f3686026b1c1f0994234a77605eab39d","observation_id":"93591ca0-93f0-4985-abdf-bbe3c1c89eed","resolution":{"observed_at":"2026-07-07T19:24:06.894088Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.888630Z","title":null,"venue":null,"work_id":"5bc6509b-35a1-4d50-9e97-d2a7a17fbe04","year":2006},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:8aec20cfa3ad00b1d1474680477dc5b97ee13a3151430e2559dc0cb91206ac4c","observation_id":"e277888c-0a42-4670-b285-0e4e2f9b6112","resolution":{"observed_at":"2026-07-07T19:24:06.890599Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+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":"2026-07-07T19:24:06.895331Z","title":"B192(1981), 259–269","venue":null,"work_id":"60819e4c-04ad-44f5-83cf-1b7574d57917","year":1981},"citing_paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-06-30T20:40:38.972409Z"},"links":{"citing_paper":"/paper/2605.14616"},"observation_digest":"sha256:4e321c5e8a0f97e02c0175b338a1ea24c2559b12d58561c8fa56bc0b1c2949b5","observation_id":"7e0fae34-a148-4c7e-9f05-d524b91cc49c","resolution":{"observed_at":"2026-07-07T19:24:06.897518Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2605.14616","last_updated":"2026-05-14T09:35:38Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-07-06T23:26:04.286377Z","submitted_at":"2026-05-14T09:35:38Z","title":"A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure"},"reference_resolution":{"displayed":49,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":6,"verified_fuzzy":22},"total_outbound_references":49},"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":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2605.14616."}