{"as_of":"2026-08-22T08:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:43f8bc0f3362cc65f55db257b796ba04cd79f88b64f2b644781c36de8b7192a6","coverage":[{"denominator":41,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":41,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T20:42:57.433531Z","state":"measured"},{"denominator":42,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":42,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T14:57:53.524005Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.09904","snapshot_observed_at":"2026-08-01T14:57:53.524005Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.18635","last_updated":"2026-07-28T06:38:02Z","snapshot_observed_at":"2026-08-20T12:14:41.285861Z","submitted_at":"2026-07-21T02:09:24Z","title":"Remainders of generalised Taylor expansions and a priori bounds for rough differential equations","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-01T14:57:53.524005Z"},"links":{"cited_paper":"/paper/2606.09904","citing_paper":"/paper/2607.18635"},"observation_digest":"sha256:ca5824fd9ec1c70f9111694b29328398c6d3a05f4e0172d372dcf8c0a854fee4","observation_id":"ef34ee41-b036-4cea-b58d-f0469766ddc9","resolution":{"observed_at":"2026-08-01T14:57:53.524005Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2606.09904/citation-record","integrity":"/paper/2606.09904/integrity","json":"/paper/2606.09904/citation-record.json","paper":"/paper/2606.09904"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2304.06802","last_updated":"2025-07-08T15:34:28Z","snapshot_observed_at":"2026-08-20T12:16:29.427326Z","submitted_at":"2023-04-13T19:58:51Z","title":"Path-by-path uniqueness for stochastic differential equations under Krylov-R\\\"ockner condition","version":2},"cited_work":{"arxiv_id":"2304.06802","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2304.06802","snapshot_observed_at":"2026-07-02T20:17:22.015578Z","title":"Path-by-path uniqueness for stochastic differential equations under Krylov - Röckner condition, July 2025","venue":null,"work_id":"c3a859d8-6e94-453e-ae0a-71b6848b445e","year":2023},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"cited_paper":"/paper/2304.06802","citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:50fd72eb9482649b6a2249ad7da33d082e91af291859342f652421045db01c5c","observation_id":"39101f40-1609-45cd-859f-61bd1b86968e","resolution":{"observed_at":"2026-07-02T20:17:22.017172Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Comparison of classical and path-by-path solutions to SDE s","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:a0fa83af81f4889d8d98815d9aa475dc29ac4160b8a1835c26d3fdf4bc4c06c8","observation_id":"19b8ffca-e6ea-4d0e-9f0e-c55b784d0400","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Flows driven by rough paths","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:3eed39da06b4a4d56bd692d12d070800bb119c06945509225d4aa788a4408a39","observation_id":"f9875a23-bc8f-44a3-8c5c-f412e935d9af","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"An isomorphism between branched and geometric rough paths","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:7bb8f33399563bb9162ae78a46430851a7ade838dab21a7a9bfc640b87215eb5","observation_id":"c57a4fdc-8999-4435-b1b0-03c191aaf6b5","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Non-explosion criteria for rough differential equations driven by unbounded vector fields","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:0ab86eaa01ff3d93e010f88424f05c5879b2a8b604bf6a77c52b63abd0391d9e","observation_id":"cea6ac24-fe64-49d2-94e7-9c0262e70200","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Bruned, I","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:99a1e4c38af75b371d631394e59e1856be2bbb6fee0e25a25b312d2751cef7b4","observation_id":"151dcd2e-e319-4914-9bed-ed36181e5174","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"A priori bounds for rough differential equations with a non-linear damping term","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:aa5350af707f4a128e3453a30ce97a0f77676652880b4d5b74e42e2086f2133e","observation_id":"2ed937eb-fa1b-40ad-8e96-415889c781a8","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Friz, Alexey Korepanov, Ian Melbourne, and Huilin Zhang","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:ab07eaa559a52f7cd0e5b5931477a2bc73b1fb408923d2af537f9f27dd189642","observation_id":"b5975ace-0ddf-4891-b1a4-fcc38f18cd5d","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Twelve lectures on rough paths","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:fcf005c918594a18fc9183a475cacb1b8cfeea313c27f16c3fe12f0bdc458e61","observation_id":"5262163c-86a6-430c-bf93-e560a76c6b3b","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"A Primer on the Signature Method in Machine Learning , pages 3--64","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:0ec94f810275d14593c25641e0b4ae56c5e64bc8cc510ab7f7ea510da8568031","observation_id":"d10e3845-67bd-46e4-991c-b7573536ac65","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:907e66644bf1d7eec1ac202d021b63d614f451363e3c69266940126c55ec3b1f","observation_id":"b14136b1-f055-46d5-bddb-da4455625bed","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:a17bf16a25fe661e9b33e30aca1dc4f4cfa230ec247fd0ea09c32c58fd6cae36","observation_id":"26e84248-2a7a-4df0-afad-5aa779a189d5","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"A priori estimates for rough PDE s with application to rough conservation laws","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:0d70a0aad091dfe191613767946a1a410978d028008a840f3b9cef0e3c8e797c","observation_id":"8ad65e3f-0f73-46d3-bb84-fbf0338cb68c","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"A L \\'evy area between B rownian motion and rough paths with applications to robust nonlinear filtering and rough partial differential equations","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:a9dfab92d05bf7fa1e41b4ae0ee88f67d2ac7e7bd0a896a2243b8cff4842e285","observation_id":"4cec82f8-9dd7-4ba5-b3a0-7b36157a6cda","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:261e8629614f39c79880241502066a8431f34b1c4dab44809c676df0ceee9c1d","observation_id":"27e3b443-7db2-4d07-8790-360e17c8741c","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Friz and Martin Hairer","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:e9e94a23878353cce412369a10d494def91fbe28deb28a9e639297e42178ab4d","observation_id":"027eeb01-2d63-4dfa-9139-59e935926510","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Global flows for stochastic differential equations without global lipschitz conditions","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:81596576f24bfb8e18580943e8915ea435cc42b8e5382cbce54d6429c884572d","observation_id":"a4f0f193-2538-43c5-bb55-6d2625cf8bda","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Friz and Nicolas B","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:0014d9025446eae10d002d229146448a57097423c3ec76241bc03afca948919f","observation_id":"50196d2d-f65e-44fc-8095-c4ce55009a86","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Variance renormalisation in regularity structures -- the case of 2d gpam, 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:79124cb21ec2a4a5081b7dee952228c34c6758de851730c7e89929824371cb5f","observation_id":"75ccca9c-d1cf-43d4-8162-12800e1be80b","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Rough homogenisation with fractional dynamics","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:452eb4f0db7953b2a8525d1e822ecd65b9035d25db32ddb7f72693fcdbc8e620","observation_id":"a64c3ebc-23ec-44ae-b48c-586b96a14df0","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Gubinelli","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:d5440cb21cee02fe504a33997af2c00be86686ccd47d3a2e66dc331e6a7c4e5a","observation_id":"25735f71-68b5-48f0-bab5-972e3d45564b","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Gubinelli","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:521a5f651414e25dd3b96c9e478f07ca4d2069102c3f8c883244224f8d1616a2","observation_id":"e91f8993-9157-4b06-a504-5dc65c21a9c6","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:7674602f2475f4598dae7fe7b6d5829cb6671cb9c3ae789986e9ab94c0818b6f","observation_id":"da8e17b7-7638-4342-8dc3-79e192e39008","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Geometric versus non-geometric rough paths, 2014","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:b61bfd57e52768846e6e59e5e472e73405838dc5e964d3d9a961075adc5bf26d","observation_id":"dcee3b67-3a29-493a-9154-212b85bc195c","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Generating diffusions with fractional B rownian motion","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:d04adaa4489728ebb18e53c2b7509455eff5b08150d57469060feed32020492b","observation_id":"b6423d20-9216-4a3d-b9b7-554ca5d206a4","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"On the N avier- S tokes equation perturbed by rough transport noise","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:25283dfe5569fb088fba533c30b9edbe29dba361463c00b7ffd49b7b20be74b1","observation_id":"c1fde945-1160-4db7-b742-1f3924562ad9","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:6d9fc1eadb0aaa46a1d8db12df010ab09f5c6f74177cefd0d9d9c20869da3c11","observation_id":"31a3a1a8-9ca2-4bbc-a0d0-dc36d78b07ad","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Deep signature transforms","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:8e82749db914047998b56d5db16613506d6b3c6415867a80351185258ebe1f63","observation_id":"35740feb-19af-41e1-a77d-359ad0ad0a70","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Global Solutions to Rough Differential Equations with Unbounded Vector Fields","venue":null,"work_id":null,"year":2046},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:4f678679f71cd66f916f49aa28b8453c4e4e27d0d63b393169a735211ef16032","observation_id":"d7895dca-0596-4ec3-9448-9db126356abd","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"On rough differential equations","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:c7879b9ee8df8adc825882894e0de2161390b439aaa1efa795a0a6ceaa28d0c7","observation_id":"34f4064d-61a1-43ab-9c91-a7b5410d62ca","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Fluctuations from a random fractional averaging limit, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:c85ad68227a206060f3d0ffe9ce92889d73eeeed2670b546f464a29961f553be","observation_id":"65e2f8f7-7b26-4a11-9820-aca34d9e7efe","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Navier-stokes with a fractional transport noise as a limit of multi-scale dynamics, 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:27d432268f5be24294007f0ee082f9cecf3a46d1c4f6e49515726c1b5c883b1a","observation_id":"d8756d90-b350-4338-b619-4d16022d5832","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Strong completeness of sdes and non-explosion for rdes with coefficients having unbounded derivatives, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:11c9dfe68e6e6f9fe93d9872739e59d7abdbf2d442c6d1a0e189b247804c746d","observation_id":"e371701c-29e4-4c52-b486-6fae9c4b08c1","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Differential equations driven by rough signals","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:0f311689ae51e855c2251e9baa15f704db747e9593df5720986ae0dee2de0214","observation_id":"2d60cc65-72fc-4999-9e5a-6ec5f42ace9a","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:48c200eb2eae5d2652eb0e0225db54ab770e5bd9e8d10563c2c005c02a063d2a","observation_id":"2e7cf78a-92f2-4bb7-a743-754734b4b4d9","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Neural rough differential equations for long time series","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:3c26c0d589d8b8cf0f14ebe8d4e0d8e5e1724d481d117701ddcce5efbd30aae4","observation_id":"69c2856e-dd74-4ebf-a159-c5b0e4f8123a","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Sur l'alg\\`ebre enveloppante d'une alg\\`ebre pr\\'e- L ie","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:2baa38b94d80e1490288c42cf636a9ec9adb7f2de01e57f82725b0757b421353","observation_id":"d3923de2-722a-4755-ac63-9b328353ede3","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Riedel and M","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:030f4117cf2d8a7d1708aa7bb0d7e52782f1724205ef45b6b365750a51589a9d","observation_id":"a02f543d-cc82-4ebb-845f-88c8f7319338","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"Strong completeness and semi-flows for stochastic differential equations with monotone drift","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:f37722155d48b88ff09d942375aa5eb5042fed95e560082528fd05ad1e3a3ff9","observation_id":"d179342c-ae8c-4be2-b33c-6e64230bfd99","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"The geometry of the space of branched rough paths","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:3f2d54c8fec18fb25c1944f382383c772f5a03a2ddad5afaf69fe9375571e958","observation_id":"1117609f-da92-4e01-9e4f-d6d44ddbb098","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:42:57.433531Z","title":"The geometry of controlled rough paths","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-06-27T20:42:57.433531Z"},"links":{"citing_paper":"/paper/2606.09904"},"observation_digest":"sha256:aac04f421a1d7bfec07c00fb9d0c7d0de0daad92703f881d74dc98043efc1de6","observation_id":"96faeaa6-dd57-4173-ad9d-f8276bc14cf1","resolution":{"observed_at":"2026-06-27T20:42:57.433531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.09904","last_updated":"2026-06-05T21:09:07Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-21T02:34:13.948501Z","submitted_at":"2026-06-05T21:09:07Z","title":"Non-explosion principles for branched rough differential equations with unbounded coefficients"},"reference_resolution":{"displayed":41,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":40,"verified_exact":1,"verified_fuzzy":0},"total_outbound_references":41},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:2606.09904."}