{"as_of":"2026-08-11T03:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:76001bf44c7916a53e1e3ae6c8149ccddde258f213133dc49ca0f5cca52959d4","coverage":[{"denominator":12,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:53:28.199565Z","state":"measured"},{"denominator":16,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":16,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T19:52:51.934728Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-21T11:40:03.431759Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.23936","last_updated":"2025-05-29T18:38:00Z","snapshot_observed_at":"2026-08-10T11:07:58.492116Z","submitted_at":"2025-05-29T18:38:00Z","title":"A subsequentially fast dynamo on $\\mathbb{T}^3$","version":1},"cited_work":{"arxiv_id":"2505.23936","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.23936","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Rowan,A subsequentially fast dynamo onT 3, arXiv e-prints (May 2025), arXiv:2505.23936, available at 2505.23936","venue":null,"work_id":"cf17ce74-ce11-4da5-8b3d-e3d54c5bb406","year":2025},"citing_paper":{"arxiv_id":"2603.09861","last_updated":"2026-05-19T16:08:44Z","snapshot_observed_at":"2026-08-02T19:58:31.835732Z","submitted_at":"2026-03-10T16:22:32Z","title":"A fast dynamo on the three-torus","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-05-21T11:36:49.672905Z"},"links":{"cited_paper":"/paper/2505.23936","citing_paper":"/paper/2603.09861"},"observation_digest":"sha256:9cce459b423705783491af2c26f4ac1d36db58d2beda9c0e351897ab63ba39d8","observation_id":"5917d5e4-26d6-4f9f-b29d-5786ac1afcb1","resolution":{"observed_at":"2026-05-21T11:40:03.434116Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.23936","last_updated":"2025-05-29T18:38:00Z","snapshot_observed_at":"2026-08-10T11:07:58.492116Z","submitted_at":"2025-05-29T18:38:00Z","title":"A subsequentially fast dynamo on $\\mathbb{T}^3$","version":1},"cited_work":{"arxiv_id":"2505.23936","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.23936","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Rowan,A subsequentially fast dynamo onT 3, arXiv e-prints (May 2025), arXiv:2505.23936, available at 2505.23936","venue":null,"work_id":"cf17ce74-ce11-4da5-8b3d-e3d54c5bb406","year":2025},"citing_paper":{"arxiv_id":"2605.20451","last_updated":"2026-05-19T20:04:18Z","snapshot_observed_at":"2026-08-05T19:15:35.638175Z","submitted_at":"2026-05-19T20:04:18Z","title":"Turbulent Dynamos on Bounded Domains and Their Generalization to the Geometric Transport Equation","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-05-21T06:55:38.591433Z"},"links":{"cited_paper":"/paper/2505.23936","citing_paper":"/paper/2605.20451"},"observation_digest":"sha256:4860e56ed6a085754123db6b039e043167ed7d7ea07a5280697f25807153a945","observation_id":"4decf7f0-ab6b-4f86-b138-dfb560d46e8e","resolution":{"observed_at":"2026-05-21T06:59:45.638643Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.23936","last_updated":"2025-05-29T18:38:00Z","snapshot_observed_at":"2026-08-10T11:07:58.492116Z","submitted_at":"2025-05-29T18:38:00Z","title":"A subsequentially fast dynamo on $\\mathbb{T}^3$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.23936","snapshot_observed_at":"2026-08-04T04:24:21.346072Z","title":"Rowan,A subsequentially fast dynamo onT 3, arXiv:2505.23936v1, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.02586","last_updated":"2026-08-03T17:55:29Z","snapshot_observed_at":"2026-08-10T11:08:45.067511Z","submitted_at":"2026-08-03T17:55:29Z","title":"An autonomous Lipschitz fast dynamo on the three-torus","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-04T04:24:21.346072Z"},"links":{"cited_paper":"/paper/2505.23936","citing_paper":"/paper/2608.02586"},"observation_digest":"sha256:6e7784a2463109b0aaada45fa05ee9c8f04753e812f9c46e43e0127daaf874d9","observation_id":"9c52f7a5-7682-47ab-a723-366568ce917c","resolution":{"observed_at":"2026-08-04T04:24:21.346072Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.23936","last_updated":"2025-05-29T18:38:00Z","snapshot_observed_at":"2026-08-10T11:07:58.492116Z","submitted_at":"2025-05-29T18:38:00Z","title":"A subsequentially fast dynamo on $\\mathbb{T}^3$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.23936","snapshot_observed_at":"2026-08-07T19:52:51.934728Z","title":"Rowan,A subsequentially fast dynamo onT 3, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05997","last_updated":"2026-08-06T13:06:30Z","snapshot_observed_at":"2026-08-09T23:12:41.614736Z","submitted_at":"2026-08-06T13:06:30Z","title":"Exponential growth and decay in the ideal induction equation","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T19:52:51.934728Z"},"links":{"cited_paper":"/paper/2505.23936","citing_paper":"/paper/2608.05997"},"observation_digest":"sha256:f4e823bbd2ea61558d1e9b75e5d9f8807bb0fc02c367e3109c37dbcfb930b9ca","observation_id":"c617cbbe-77fc-4d3b-b8b4-e16f023d50f2","resolution":{"observed_at":"2026-08-07T19:52:51.934728Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2505.23936/citation-record","integrity":"/paper/2505.23936/integrity","json":"/paper/2505.23936/citation-record.json","paper":"/paper/2505.23936"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2403.19858","last_updated":"2025-02-09T19:47:03Z","snapshot_observed_at":"2026-08-09T07:38:27.047051Z","submitted_at":"2024-03-28T22:06:30Z","title":"A Harris theorem for enhanced dissipation, and an example of Pierrehumbert","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.19858","snapshot_observed_at":"2026-08-07T12:53:27.218766Z","title":"[CM24] Michele Coghi and Mario Maurelli","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.23936","last_updated":"2025-05-29T18:38:00Z","snapshot_observed_at":"2026-08-10T11:07:58.492116Z","submitted_at":"2025-05-29T18:38:00Z","title":"A subsequentially fast dynamo on $\\mathbb{T}^3$","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T12:53:27.218766Z"},"links":{"cited_paper":"/paper/2403.19858","citing_paper":"/paper/2505.23936"},"observation_digest":"sha256:0c8b1379925cf9d56c0d2ef46ecd1cc055079c9f33449c91ab9a4aae94c741ff","observation_id":"c5e65fec-91ba-4095-9b4f-a9b60471ae85","resolution":{"observed_at":"2026-08-07T12:53:27.218766Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2308.03216","last_updated":"2024-07-29T10:12:22Z","snapshot_observed_at":"2026-08-10T11:07:23.584693Z","submitted_at":"2023-08-06T22:03:25Z","title":"Existence and uniqueness by Kraichnan noise for 2D Euler equations with unbounded vorticity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.03216","snapshot_observed_at":"2026-08-07T12:53:27.346995Z","title":"[Cow33] T","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.23936","last_updated":"2025-05-29T18:38:00Z","snapshot_observed_at":"2026-08-10T11:07:58.492116Z","submitted_at":"2025-05-29T18:38:00Z","title":"A subsequentially fast dynamo on $\\mathbb{T}^3$","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T12:53:27.346995Z"},"links":{"cited_paper":"/paper/2308.03216","citing_paper":"/paper/2505.23936"},"observation_digest":"sha256:4aed3def53095a9ef5aa5ba714a84480698a1e181503ff38a54b7091bbf8ce29","observation_id":"3ec8fa74-dabf-460f-be93-c960563ac951","resolution":{"observed_at":"2026-08-07T12:53:27.346995Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.02459","last_updated":"2024-08-05T13:33:30Z","snapshot_observed_at":"2026-08-09T02:36:18.681572Z","submitted_at":"2024-08-05T13:33:30Z","title":"Exponential scalar mixing for the 2D Navier-Stokes equations with degenerate stochastic forcing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.02459","snapshot_observed_at":"2026-08-07T12:53:27.470986Z","title":"[FV91] Susan Friedlander and Misha M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.23936","last_updated":"2025-05-29T18:38:00Z","snapshot_observed_at":"2026-08-10T11:07:58.492116Z","submitted_at":"2025-05-29T18:38:00Z","title":"A subsequentially fast dynamo on $\\mathbb{T}^3$","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T12:53:27.470986Z"},"links":{"cited_paper":"/paper/2408.02459","citing_paper":"/paper/2505.23936"},"observation_digest":"sha256:4c5650d69c1915f6b8f17586ece022ce578b6029a47f5a39648833a07a6cfa11","observation_id":"ed10ff2a-523a-41c3-83a5-31fef11a3e1a","resolution":{"observed_at":"2026-08-07T12:53:27.470986Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.16668","last_updated":"2026-06-21T20:11:59Z","snapshot_observed_at":"2026-07-06T18:50:48.181248Z","submitted_at":"2024-07-23T17:35:25Z","title":"Anomalous Regularization in Kraichnan's Passive Scalar Model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.16668","snapshot_observed_at":"2026-08-07T12:53:27.543232Z","title":"[Gil88] Andrew D","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.23936","last_updated":"2025-05-29T18:38:00Z","snapshot_observed_at":"2026-08-10T11:07:58.492116Z","submitted_at":"2025-05-29T18:38:00Z","title":"A subsequentially fast dynamo on $\\mathbb{T}^3$","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T12:53:27.543232Z"},"links":{"cited_paper":"/paper/2407.16668","citing_paper":"/paper/2505.23936"},"observation_digest":"sha256:097f39c18a4864d078a5b95609ff7176c54d4e65f02ba310ee1a9b22eb28a154","observation_id":"a75c4b76-bcc0-440e-ab09-33f19e0fa8b7","resolution":{"observed_at":"2026-08-07T12:53:27.543232Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.10419","last_updated":"2024-11-15T18:41:13Z","snapshot_observed_at":"2026-08-10T11:10:13.693997Z","submitted_at":"2024-11-15T18:41:13Z","title":"Lower bounds on the top Lyapunov exponent for linear PDEs driven by the 2D stochastic Navier-Stokes equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.10419","snapshot_observed_at":"2026-08-07T12:53:27.739708Z","title":"[JR02] Yves Le Jan and Olivier Raimond","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.23936","last_updated":"2025-05-29T18:38:00Z","snapshot_observed_at":"2026-08-10T11:07:58.492116Z","submitted_at":"2025-05-29T18:38:00Z","title":"A subsequentially fast dynamo on $\\mathbb{T}^3$","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T12:53:27.739708Z"},"links":{"cited_paper":"/paper/2411.10419","citing_paper":"/paper/2505.23936"},"observation_digest":"sha256:2ec4680cadcb9af9b41f5b7b6c0c789cd78cfd308af33bef24d9dced41bed96d","observation_id":"2e4b4e68-2858-4e06-83de-99cf1e71979e","resolution":{"observed_at":"2026-08-07T12:53:27.739708Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.07484","last_updated":"2024-02-12T08:47:53Z","snapshot_observed_at":"2026-08-10T02:39:13.692156Z","submitted_at":"2024-02-12T08:47:53Z","title":"An elementary approach to mixing and dissipation enhancement by transport noise","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.07484","snapshot_observed_at":"2026-08-07T12:53:27.807758Z","title":"[MD18] Christopher J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.23936","last_updated":"2025-05-29T18:38:00Z","snapshot_observed_at":"2026-08-10T11:07:58.492116Z","submitted_at":"2025-05-29T18:38:00Z","title":"A subsequentially fast dynamo on $\\mathbb{T}^3$","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T12:53:27.807758Z"},"links":{"cited_paper":"/paper/2402.07484","citing_paper":"/paper/2505.23936"},"observation_digest":"sha256:a842d974e345bb4fe232f81c635a054df2162b66f25eb420c2f71be91ec5071c","observation_id":"a76fe200-8b07-43b7-98c9-bef4c174d60f","resolution":{"observed_at":"2026-08-07T12:53:27.807758Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.18028","last_updated":"2024-07-25T13:25:49Z","snapshot_observed_at":"2026-08-10T16:55:44.355302Z","submitted_at":"2024-07-25T13:25:49Z","title":"Three-dimensional exponential mixing and ideal kinematic dynamo with randomized ABC flows","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.18028","snapshot_observed_at":"2026-08-07T12:53:28.042382Z","title":"[ZRMS84] Ya B","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.23936","last_updated":"2025-05-29T18:38:00Z","snapshot_observed_at":"2026-08-10T11:07:58.492116Z","submitted_at":"2025-05-29T18:38:00Z","title":"A subsequentially fast dynamo on $\\mathbb{T}^3$","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T12:53:28.042382Z"},"links":{"cited_paper":"/paper/2407.18028","citing_paper":"/paper/2505.23936"},"observation_digest":"sha256:82142d33f5a2cbe02dd607954b3f2a001119eb7e934f48b11cfa895702551c0f","observation_id":"dbca9e65-a0a3-4f3b-84f0-0e71fa510212","resolution":{"observed_at":"2026-08-07T12:53:28.042382Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.00855","last_updated":"2025-04-01T14:45:18Z","snapshot_observed_at":"2026-08-08T14:26:43.236111Z","submitted_at":"2025-04-01T14:45:18Z","title":"Alpha-unstable flows and the fast dynamo problem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.00855","snapshot_observed_at":"2026-08-07T12:53:28.199565Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.23936","last_updated":"2025-05-29T18:38:00Z","snapshot_observed_at":"2026-08-10T11:07:58.492116Z","submitted_at":"2025-05-29T18:38:00Z","title":"A subsequentially fast dynamo on $\\mathbb{T}^3$","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T12:53:28.199565Z"},"links":{"cited_paper":"/paper/2504.00855","citing_paper":"/paper/2505.23936"},"observation_digest":"sha256:5ae56ffb91c47502d59346533f16ad49cf5e3c6e332619af5298de5df9d7d46f","observation_id":"86eeef62-8c0e-4372-928b-c059738f6f4a","resolution":{"observed_at":"2026-08-07T12:53:28.199565Z","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":"2026-08-07T12:53:28.436876Z","title":"Lagrangian chaos and scalar ad- vection in stochastic fluid mechanics","venue":null,"work_id":"97da96cf-1d2f-49bc-a699-90c3c8a82121","year":1990},"citing_paper":{"arxiv_id":"2505.23936","last_updated":"2025-05-29T18:38:00Z","snapshot_observed_at":"2026-08-10T11:07:58.492116Z","submitted_at":"2025-05-29T18:38:00Z","title":"A subsequentially fast dynamo on $\\mathbb{T}^3$","version":1},"reference_index":2005,"source":"pdf_text","source_observed_at":"2026-08-07T12:53:27.067452Z"},"links":{"citing_paper":"/paper/2505.23936"},"observation_digest":"sha256:c71547112dd3288d672ccdb2c265dab52d5b1a9371862d59f1279f7e81ad3cd2","observation_id":"fc4fc401-0313-4eea-8525-85c2ac383ed5","resolution":{"observed_at":"2026-08-07T12:53:28.532518Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.03949","last_updated":"2025-03-31T11:05:46Z","snapshot_observed_at":"2026-07-06T10:57:44.674006Z","submitted_at":"2021-04-08T17:48:30Z","title":"Stabilization by transport noise and enhanced dissipation in the Kraichnan model","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.03949","snapshot_observed_at":"2026-08-07T12:53:27.609507Z","title":"[HPSRY24] Martin Hairer, Sam Punshon-Smith, Tommaso Rosati, and Jaeyun Yi","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.23936","last_updated":"2025-05-29T18:38:00Z","snapshot_observed_at":"2026-08-10T11:07:58.492116Z","submitted_at":"2025-05-29T18:38:00Z","title":"A subsequentially fast dynamo on $\\mathbb{T}^3$","version":1},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-07T12:53:27.609507Z"},"links":{"cited_paper":"/paper/2104.03949","citing_paper":"/paper/2505.23936"},"observation_digest":"sha256:db52bb7509fd2ada6d5bfdb9e84dd516a5eb58f245fc363e6cde54363b08b726","observation_id":"d14550cb-bb55-403b-b91f-126421c9ebec","resolution":{"observed_at":"2026-08-07T12:53:27.609507Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.09482","last_updated":"2024-11-14T14:37:35Z","snapshot_observed_at":"2026-08-10T11:08:29.586671Z","submitted_at":"2024-11-14T14:37:35Z","title":"Anomalous Regularization in Kazantsev-Kraichnan Model","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.09482","snapshot_observed_at":"2026-08-07T12:53:27.138206Z","title":"[BZG23] Alex Blumenthal, Michele Coti Zelati, and Rishabh S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.23936","last_updated":"2025-05-29T18:38:00Z","snapshot_observed_at":"2026-08-10T11:07:58.492116Z","submitted_at":"2025-05-29T18:38:00Z","title":"A subsequentially fast dynamo on $\\mathbb{T}^3$","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-07T12:53:27.138206Z"},"links":{"cited_paper":"/paper/2411.09482","citing_paper":"/paper/2505.23936"},"observation_digest":"sha256:ff59d26c65817ea69514f00cac5ce6b80b85d7e7ac37becf39f271b51447a982","observation_id":"da02aa8c-e29b-4c7b-b749-f596be6291c4","resolution":{"observed_at":"2026-08-07T12:53:27.138206Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.17273","last_updated":"2025-07-01T07:28:59Z","snapshot_observed_at":"2026-08-07T19:30:30.287248Z","submitted_at":"2025-02-24T15:59:31Z","title":"Exponential mixing by random cellular flows","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.17273","snapshot_observed_at":"2026-08-07T12:53:27.935620Z","title":"[Ota93] Niels F","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.23936","last_updated":"2025-05-29T18:38:00Z","snapshot_observed_at":"2026-08-10T11:07:58.492116Z","submitted_at":"2025-05-29T18:38:00Z","title":"A subsequentially fast dynamo on $\\mathbb{T}^3$","version":1},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-07T12:53:27.935620Z"},"links":{"cited_paper":"/paper/2502.17273","citing_paper":"/paper/2505.23936"},"observation_digest":"sha256:f7836d1be2f5e9e35b410e1bb7c80d1471fc273370ec7a0e827e66086df3cd3e","observation_id":"9a8e81f1-5aa6-4e99-b6d3-f395a9a5b558","resolution":{"observed_at":"2026-08-07T12:53:27.935620Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2505.23936","last_updated":"2025-05-29T18:38:00Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-10T11:07:58.492116Z","submitted_at":"2025-05-29T18:38:00Z","title":"A subsequentially fast dynamo on $\\mathbb{T}^3$"},"reference_resolution":{"displayed":12,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":0,"verified_fuzzy":1},"total_outbound_references":12},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 4 inbound Pith citation observations for arXiv:2505.23936."}