{"as_of":"2026-08-09T01:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:380741752dc993e67661292fbd51ca3255e46d2d1280eb1b7b17dd15334b7e91","coverage":[{"denominator":6,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T22:23:33.382926Z","state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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":"2026-08-06T17:43:23.970673Z","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":"2026-08-06T17:43:27.554853Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.04587","last_updated":"2025-02-07T00:45:29Z","snapshot_observed_at":"2026-08-08T22:10:36.125140Z","submitted_at":"2025-02-07T00:45:29Z","title":"Noise sensitivity for stochastic heat and Schr\\\"odinger equation","version":1},"cited_work":{"arxiv_id":"2502.04587","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.04587","snapshot_observed_at":"2026-08-06T17:43:27.554853Z","title":"Noise sensitivity for stochastic heat and Schr\\\"odinger equation","venue":"math.PR","work_id":"4fbe66a7-813c-4647-9a54-49e088622a18","year":2025},"citing_paper":{"arxiv_id":"2507.10379","last_updated":"2025-09-12T15:08:47Z","snapshot_observed_at":"2026-08-08T13:56:01.279716Z","submitted_at":"2025-07-14T15:19:49Z","title":"Enhanced noise sensitivity, 2D directed polymers and Stochastic Heat Flow","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-06T17:43:23.970673Z"},"links":{"cited_paper":"/paper/2502.04587","citing_paper":"/paper/2507.10379"},"observation_digest":"sha256:0ceaafa6e8f3dcf4302edcef69a58f1e76704628f399b5b0a4639107bf6dcea2","observation_id":"afc516cc-57ba-450f-a1ee-e8e014fd4ab8","resolution":{"observed_at":"2026-08-06T17:43:27.622076Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2502.04587/citation-record","integrity":"/paper/2502.04587/integrity","json":"/paper/2502.04587/citation-record.json","paper":"/paper/2502.04587"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T22:23:33.805331Z","title":"Superconcentration and related topics, Vol","venue":null,"work_id":"cd05f8b9-cd33-42d2-b3c0-b6bf16e896f1","year":2014},"citing_paper":{"arxiv_id":"2502.04587","last_updated":"2025-02-07T00:45:29Z","snapshot_observed_at":"2026-08-08T22:10:36.125140Z","submitted_at":"2025-02-07T00:45:29Z","title":"Noise sensitivity for stochastic heat and Schr\\\"odinger equation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-08T22:23:33.220703Z"},"links":{"citing_paper":"/paper/2502.04587"},"observation_digest":"sha256:cf1ac29f3bcfe7e99f402c4c2e290efbae4b61d15fe6dccee0e694b5612bb43b","observation_id":"8b07d663-ee7c-4084-9b70-e38a8fbceba7","resolution":{"observed_at":"2026-08-08T22:23:33.815344Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T22:23:33.745277Z","title":null,"venue":null,"work_id":"c8938758-15db-4016-86f5-aa45abf2779a","year":2015},"citing_paper":{"arxiv_id":"2502.04587","last_updated":"2025-02-07T00:45:29Z","snapshot_observed_at":"2026-08-08T22:10:36.125140Z","submitted_at":"2025-02-07T00:45:29Z","title":"Noise sensitivity for stochastic heat and Schr\\\"odinger equation","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-08T22:23:33.225600Z"},"links":{"citing_paper":"/paper/2502.04587"},"observation_digest":"sha256:27e4312dcc947f6d9e06c046c26b73395ad2423e550e126fadcd95166d987e0d","observation_id":"2526b1b9-bd42-4ef1-9a36-c44343d24e8c","resolution":{"observed_at":"2026-08-08T22:23:33.779225Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T22:23:33.680321Z","title":"Stability and chaos in dynamical last passage percolation, Communications of the American Mathematical Society 4.09 (2024): 387-479","venue":null,"work_id":"a7c07e58-7e79-4628-a3b0-054e7c0a8706","year":2024},"citing_paper":{"arxiv_id":"2502.04587","last_updated":"2025-02-07T00:45:29Z","snapshot_observed_at":"2026-08-08T22:10:36.125140Z","submitted_at":"2025-02-07T00:45:29Z","title":"Noise sensitivity for stochastic heat and Schr\\\"odinger equation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-08T22:23:33.261541Z"},"links":{"citing_paper":"/paper/2502.04587"},"observation_digest":"sha256:318eae287d6cf1f0165d741ecb12246e2396abe7557556024fb88ab80c22e97f","observation_id":"16542588-6efe-4e42-9ae1-b2495c1f4be8","resolution":{"observed_at":"2026-08-08T22:23:33.712819Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T22:23:33.616695Z","title":null,"venue":null,"work_id":"d6072836-4dcc-4d83-8bba-b544f9e2aeeb","year":2014},"citing_paper":{"arxiv_id":"2502.04587","last_updated":"2025-02-07T00:45:29Z","snapshot_observed_at":"2026-08-08T22:10:36.125140Z","submitted_at":"2025-02-07T00:45:29Z","title":"Noise sensitivity for stochastic heat and Schr\\\"odinger equation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-08T22:23:33.311371Z"},"links":{"citing_paper":"/paper/2502.04587"},"observation_digest":"sha256:a761eafb2bef585400ed3e401d1fe9e0816f7fff4ed368c6a4051a210dccbbfd","observation_id":"7cc9885a-168d-43e7-b65e-085292a5fcf1","resolution":{"observed_at":"2026-08-08T22:23:33.646753Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T22:23:33.543026Z","title":"Gaussian fluctuations from random Schr¨ odinger equation, Communications in Partial Differential Equations 46.2 (2021): 201-232","venue":null,"work_id":"832095cd-06b5-4a84-bf82-8628ec85138d","year":2021},"citing_paper":{"arxiv_id":"2502.04587","last_updated":"2025-02-07T00:45:29Z","snapshot_observed_at":"2026-08-08T22:10:36.125140Z","submitted_at":"2025-02-07T00:45:29Z","title":"Noise sensitivity for stochastic heat and Schr\\\"odinger equation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-08T22:23:33.358905Z"},"links":{"citing_paper":"/paper/2502.04587"},"observation_digest":"sha256:73bff54e32ea0fc72ec2dad3b67f460f28ccbf60e74ba7280d326e8502354544","observation_id":"0ed86c9e-a33d-4591-888b-8673f47af8a9","resolution":{"observed_at":"2026-08-08T22:23:33.584194Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T22:23:33.442806Z","title":"Malliavin calculus and related topics , (2006)","venue":null,"work_id":"1518339e-ab41-40d3-a6e9-2c3c9295e4c0","year":2006},"citing_paper":{"arxiv_id":"2502.04587","last_updated":"2025-02-07T00:45:29Z","snapshot_observed_at":"2026-08-08T22:10:36.125140Z","submitted_at":"2025-02-07T00:45:29Z","title":"Noise sensitivity for stochastic heat and Schr\\\"odinger equation","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-08T22:23:33.382926Z"},"links":{"citing_paper":"/paper/2502.04587"},"observation_digest":"sha256:acdd4097b8c29d1abd6feb4e53ae1a00509e4ccd633e70532558e301e3ab926d","observation_id":"45e0ffe5-ff74-4dde-85f4-8790e8e32ef8","resolution":{"observed_at":"2026-08-08T22:23:33.492855Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.04587","last_updated":"2025-02-07T00:45:29Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-08T22:10:36.125140Z","submitted_at":"2025-02-07T00:45:29Z","title":"Noise sensitivity for stochastic heat and Schr\\\"odinger equation"},"reference_resolution":{"displayed":6,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":0,"verified_fuzzy":4},"total_outbound_references":6},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 1 inbound Pith citation observation for arXiv:2502.04587."}