{"as_of":"2026-08-23T12:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cb111ff71d66f47c4cd11402cc687192ba19403c0e6d514d2859b69cb5a8a5b5","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T11:22:49.138552Z","state":"measured"},{"denominator":23,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":23,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+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":"2026-08-06T10:34:21.349257Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-06T10:34:21.440643Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"cited_work":{"arxiv_id":"2502.02754","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.02754","snapshot_observed_at":"2026-08-06T10:34:21.440643Z","title":"On spider diffusions having a spinning measure selected from their own local time","venue":"math.PR","work_id":"78952535-8572-4a8b-bec2-9fc12e3025f0","year":2025},"citing_paper":{"arxiv_id":"2507.23724","last_updated":"2025-07-31T16:57:25Z","snapshot_observed_at":"2026-08-19T11:15:51.728378Z","submitted_at":"2025-07-31T16:57:25Z","title":"General diffusions on metric graphs as limits of time-space Markov Chains","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T10:34:21.349257Z"},"links":{"cited_paper":"/paper/2502.02754","citing_paper":"/paper/2507.23724"},"observation_digest":"sha256:5f40059ef6963409df4ae4cfd9fc4548a521fe23aac9b7abb2ce12f99e2228bb","observation_id":"9b76d581-0da9-404d-a963-25abd64d1677","resolution":{"observed_at":"2026-08-06T10:34:21.446359Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2502.02754/citation-record","integrity":"/paper/2502.02754/integrity","json":"/paper/2502.02754/citation-record.json","paper":"/paper/2502.02754"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.474439Z","title":"Serve the shortest queue and Walsh Br ownian motion, The Annals of Applied Probability, 29,1, pp","venue":null,"work_id":"9d9cc794-b282-4347-8535-ce28b3401b16","year":2019},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.044116Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:916669365ae1e824548be3429927021bb354fdce420a46900f2c11fdd2b0e719","observation_id":"d5c62d47-7954-40c2-8bce-237af23676ba","resolution":{"observed_at":"2026-08-09T11:22:49.479020Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.461028Z","title":"On Walsh’s Brownian moti ons","venue":null,"work_id":"0917f976-a13c-44ed-bb94-6cb29876e6d0","year":null},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.049350Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:7b4759590b26a703113aebae8b86866f346000506ca8101077ef2474a2924e09","observation_id":"c62c4123-ce2e-4274-b51f-0dd92890d2e7","resolution":{"observed_at":"2026-08-09T11:22:49.465485Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.447026Z","title":"Variab ly skewed Brownian motion, Electronic Communications in Probability, 5, pp","venue":null,"work_id":"53c7d259-b7c1-43ee-930c-7446346a672f","year":2000},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.053950Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:63caf2f9bf42061d7bbb0a1effcac15b3188dd381407f0d243e98f7d792eb9b2","observation_id":"6f07d6ed-9b43-4ec3-8425-2f3255688702","resolution":{"observed_at":"2026-08-09T11:22:49.451851Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.433213Z","title":"Embedding of Walsh Brownian mo tion, Stochastic Processes and their Applications; 134, p.1-28, 2021","venue":null,"work_id":"51eaea30-47c2-4d74-a2cf-bdf472214532","year":2021},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.058441Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:6bc6ab418b0512075601e84ec4d6619d2f9f52184feda693c9f934e823fe3167","observation_id":"5b2516f7-b84b-4b0a-911d-ca23826c471b","resolution":{"observed_at":"2026-08-09T11:22:49.437677Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2204.07101","last_updated":"2025-06-23T14:39:34Z","snapshot_observed_at":"2026-08-16T17:06:53.010199Z","submitted_at":"2022-04-14T16:52:46Z","title":"Walsh Spider Diffusions as Time Changed Multi-parameter Processes","version":4},"cited_work":{"arxiv_id":"2204.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2204.07101","snapshot_observed_at":"2026-08-09T11:22:49.190381Z","title":"Walsh Spider Diffusions as Time Changed Multi-parameter Processes","venue":"math.PR","work_id":"40b517db-169c-4d8d-b280-1b272ce2aed3","year":2022},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.063110Z"},"links":{"cited_paper":"/paper/2204.07101","citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:a1f583300c434723f10386f7e4b32bbc607c7133e468a8a7a52b8a664a1aff4a","observation_id":"4f4b1ddb-9ca6-4063-b492-7b3b0a49eecd","resolution":{"observed_at":"2026-08-09T11:22:49.195438Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.419601Z","title":"A study of Brownian motion using light scattering, American Journal of Physics, Vol","venue":null,"work_id":"5c69ed17-d2dd-480d-af3a-5a0703ee74b6","year":1970},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.067901Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:fa44b76668e141a11a6123b43dd3029f756b58dc85deeec2a956082dec205051","observation_id":"2d5b9f4e-976d-4c00-b340-07a00df00e18","resolution":{"observed_at":"2026-08-09T11:22:49.424213Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.405751Z","title":"Diﬀusion processes on graphs: stochastic diﬀerential equations, large devia- tion principle","venue":null,"work_id":"bce31710-8cbb-4cf0-8e9c-3789b37c7448","year":2000},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.072379Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:3e7ac2a47897149bc2c1347d6acac8e2a0493c865dceaf82f6892bd4325de961","observation_id":"714e6e50-68f0-4721-9da1-d323bbfc7106","resolution":{"observed_at":"2026-08-09T11:22:49.410424Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.392064Z","title":"Diﬀusion processes on gra phs and the averaging principle, Ann","venue":null,"work_id":"6b534da8-5860-49ad-98a3-5cc2f60589ef","year":1993},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.076668Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:e6839b74ca04be7d6dd1baf5c1373dd918d079fe75373b3cf7b6d174fbde2e69","observation_id":"7c7d4235-eabe-432d-b8d6-5019bffb64f7","resolution":{"observed_at":"2026-08-09T11:22:49.396592Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3150/09-bej215","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Absolute continuity for som e one-dimensional processes","venue":"Bernoulli","work_id":"7f09ceee-9d51-4a33-bbcd-712c5dc636e9","year":2010},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.081415Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:8674b0b2b71bd1a1b81fff93849a8f9218a1389cde3b09cda2d5a78b48220cb4","observation_id":"a49ee8de-073e-4330-9a28-7e6b9ee2aaf6","resolution":{"observed_at":"2026-08-09T11:22:49.174725Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.378596Z","title":null,"venue":null,"work_id":"fb8b0316-8e90-4063-ad92-729a11e64729","year":2018},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.086428Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:d33ef1c74cb732a48a0c21deeb2b8b2379e56bf91a1ac90103d10256775f5672","observation_id":"78535126-ef68-4db6-bbd5-773e8eba0bf4","resolution":{"observed_at":"2026-08-09T11:22:49.382979Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.364830Z","title":"Stationary distributions a nd convergence for Walsh diﬀusions, Bernoulli","venue":null,"work_id":"f72162b8-98fb-4318-8958-c69ac20c778b","year":2019},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.090865Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:fe3e196a1e3d6daeb7c247ab8f55c6d820c0f2a4f3ea30b3a317ecc2b5864d7f","observation_id":"7f790371-bcec-4141-8033-3e2c70cbd50c","resolution":{"observed_at":"2026-08-09T11:22:49.369414Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.350964Z","title":"Semimartingales on rays, Walsh d iﬀusions, and related problems of control and stopping, Stochastic Processes and their Applications , 129, 2019","venue":null,"work_id":"fdd95488-0678-42dd-9bd0-038c10f65784","year":2019},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.095251Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:eed0d8bc9352cf279ad6aeb91f198a9e08ecb7439710c9184846f12fea62c3a3","observation_id":"f9b36f89-d7f3-4ba6-83d8-3ccb36715df9","resolution":{"observed_at":"2026-08-09T11:22:49.355589Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.336948Z","title":"Brownian Motion and Stocha stic Calculus, volume 113 of Graduate Texts in Mathematics","venue":null,"work_id":"ed236797-e94e-47d8-96fc-f35ae1429fcc","year":null},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.099721Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:6d2c4d2eacd70126b52fc98ffb60383b16acd4fc1413e747369ab963548b621b","observation_id":"ba0c7c55-1cfd-496e-a50e-821ce3f515a5","resolution":{"observed_at":"2026-08-09T11:22:49.341714Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.323052Z","title":"On the constructions of the skew Brownian moti on.Probab","venue":null,"work_id":"70d8a89b-d5b2-4abe-9db7-8751a9e8acee","year":2006},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.104245Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:055ea7f005b748a0fc12ca2da21d1ec2c1ffe615cdae966b727f5e4328033896","observation_id":"1bf14191-ca0b-4346-bb19-f2608608b748","resolution":{"observed_at":"2026-08-09T11:22:49.327485Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.309269Z","title":"Viscosity solutions for j unctions: well posedness and stability","venue":null,"work_id":"b08f9581-a10f-48a8-b11a-e136ba60b94c","year":2016},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.108577Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:3323baa544d2ea41523111633c501e79b7dab7da4d8ab82b4a877395fdc3aba9","observation_id":"8d9e0bed-f6b2-48c0-a8a4-e96f9d3a68ac","resolution":{"observed_at":"2026-08-09T11:22:49.313673Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.295438Z","title":"Well-posedness for multi -dimensional junction problems with Kirchhoﬀ- type conditions","venue":null,"work_id":"016d7443-fbde-4e84-951e-c137109af789","year":2017},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.112837Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:23129fbd64515c9eb58dd76bbf525b8dfbb84b1cc79ca2a5c6bea408fb3eaa55","observation_id":"4ebee660-dc09-4d8a-8f5d-f14de71518b4","resolution":{"observed_at":"2026-08-09T11:22:49.300206Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.281051Z","title":"Martingale problem for a Walsh spider process with spinning measure se- lected from its own local-time","venue":null,"work_id":"8ac467dc-02cc-464d-846c-6941ebc7b550","year":null},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.117278Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:3689725966d0d176affccf346408d362ce8e480cfbe3faa57c24a1ee8fb2f100","observation_id":"ef367ff1-8e55-4485-9dc2-b676ced1dd33","resolution":{"observed_at":"2026-08-09T11:22:49.285964Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.265124Z","title":"Well posedness of linear Parab olic partial diﬀerential equation posed on a star-shaped network with local-time Kirchhoﬀ’s boundary c ondition at the vertex","venue":null,"work_id":"03f0fc4b-5201-4702-b7a6-4533d620f488","year":2024},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.121584Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:3458daf4363b10c3b42658452912638963a30030e01800374f841175df5ee9b2","observation_id":"9d08a581-99c3-4332-89e1-1a567145fa7c","resolution":{"observed_at":"2026-08-09T11:22:49.269822Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.249305Z","title":"Comparison principle for Walsh’s spider HJB eq uations with non linear local time kirchhoﬀ’s boundary transmission","venue":null,"work_id":"82e520b2-d1b9-4068-8da7-79425a372561","year":2025},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.125748Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:bf4128ee6a359c5fa81a9e41c4adc450ee4e8fe321e533db8d591a89071a0fef","observation_id":"18271a59-6f9e-425b-a845-0c90e2331677","resolution":{"observed_at":"2026-08-09T11:22:49.254685Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.234941Z","title":"Multidimensional Diﬀus ion Processes, 2004","venue":null,"work_id":"1aa7d1a4-a76e-47cb-be74-66a8c47aafb5","year":2004},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.129826Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:ebc71c988a59ec9ab151565f7da9b81401aef745f565605c0a60b1eef1b2cd60","observation_id":"0a92b4ed-472e-4c52-a0a3-be9904a267f1","resolution":{"observed_at":"2026-08-09T11:22:49.239396Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.220463Z","title":"Continuous martingales and Brownia n motion","venue":null,"work_id":"11fdd3e8-2262-4014-a695-7cacecc1d964","year":1999},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.134345Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:a9dd94b4084e236889574682b3dfd419a60a45c02880505e153397fbb4413975","observation_id":"d97b78a8-2030-4c33-a25d-d9474cb317be","resolution":{"observed_at":"2026-08-09T11:22:49.225207Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T11:22:49.205309Z","title":"Construction of right processes from e xcursions, Probability Theory and Related Fields, 73, 1986","venue":null,"work_id":"36020c34-77f5-4145-86b8-fd78ae3a81f4","year":1986},"citing_paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-09T11:22:49.138552Z"},"links":{"citing_paper":"/paper/2502.02754"},"observation_digest":"sha256:61d0a2a0c1a72835cf0f202cffb6bdb5095e755f0adb36668fabdbee2b07fc72","observation_id":"92d75188-3689-4f6d-a776-0dc7bd972ef3","resolution":{"observed_at":"2026-08-09T11:22:49.210182Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.02754","last_updated":"2025-02-04T22:43:19Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-19T08:38:26.444846Z","submitted_at":"2025-02-04T22:43:19Z","title":"On spider diffusions having a spinning measure selected from their own local time"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":2,"verified_fuzzy":19},"total_outbound_references":22},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2502.02754."}