{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:JIGRW63HM5ST347374VAICSP5O","short_pith_number":"pith:JIGRW63H","schema_version":"1.0","canonical_sha256":"4a0d1b7b6767653df3fbff2a040a4feb8da17853f60e158113caece7c9c27abc","source":{"kind":"arxiv","id":"2307.10889","version":3},"attestation_state":"computed","paper":{"title":"A nonlinear Strassen law for singular SPDEs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.PR","authors_text":"Shalin Parekh","submitted_at":"2023-07-20T14:06:19Z","abstract_excerpt":"A result of Arcones implies that if a measure-preserving linear operator $S$ on an abstract Wiener space $(X,H,\\mu)$ is strongly mixing, then the set of limit points of the random sequence $((2\\log n)^{-1/2}S^n(x))_{n\\in\\mathbb N}$ equals the unit ball of $H$ for a.e. $x \\in X$, which may be seen as a generalization of the classical Strassen's law of the iterated logarithm. We extend this result to the case of a continuous parameter $n$ and higher Gaussian chaoses, and we also prove a contraction-type principle for Strassen laws of such chaoses. We then use these extensions to recover or prove"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2307.10889","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-07-20T14:06:19Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"3e54a5ca11de23be7c2598f4bfcfdcfd8dbd1730c06619c0a0c46c3e3e1ec7be","abstract_canon_sha256":"29ba4b7724ca4c42cdf3a5cea98147e752a221755409b0ed6a9bb904fa597d5f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:17:47.993555Z","signature_b64":"zzg1C3UmtOsq1CZHlaWtzMhu7345cgkhop6eiHtpvxNbz7XjIjQkM1SABmTIZBHR54K0/6VNk8XcwdkQWgHFDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a0d1b7b6767653df3fbff2a040a4feb8da17853f60e158113caece7c9c27abc","last_reissued_at":"2026-07-05T08:17:47.993075Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:17:47.993075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A nonlinear Strassen law for singular SPDEs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.PR","authors_text":"Shalin Parekh","submitted_at":"2023-07-20T14:06:19Z","abstract_excerpt":"A result of Arcones implies that if a measure-preserving linear operator $S$ on an abstract Wiener space $(X,H,\\mu)$ is strongly mixing, then the set of limit points of the random sequence $((2\\log n)^{-1/2}S^n(x))_{n\\in\\mathbb N}$ equals the unit ball of $H$ for a.e. $x \\in X$, which may be seen as a generalization of the classical Strassen's law of the iterated logarithm. We extend this result to the case of a continuous parameter $n$ and higher Gaussian chaoses, and we also prove a contraction-type principle for Strassen laws of such chaoses. We then use these extensions to recover or prove"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.10889","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2307.10889/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2307.10889","created_at":"2026-07-05T08:17:47.993124+00:00"},{"alias_kind":"arxiv_version","alias_value":"2307.10889v3","created_at":"2026-07-05T08:17:47.993124+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.10889","created_at":"2026-07-05T08:17:47.993124+00:00"},{"alias_kind":"pith_short_12","alias_value":"JIGRW63HM5ST","created_at":"2026-07-05T08:17:47.993124+00:00"},{"alias_kind":"pith_short_16","alias_value":"JIGRW63HM5ST3473","created_at":"2026-07-05T08:17:47.993124+00:00"},{"alias_kind":"pith_short_8","alias_value":"JIGRW63H","created_at":"2026-07-05T08:17:47.993124+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JIGRW63HM5ST347374VAICSP5O","json":"https://pith.science/pith/JIGRW63HM5ST347374VAICSP5O.json","graph_json":"https://pith.science/api/pith-number/JIGRW63HM5ST347374VAICSP5O/graph.json","events_json":"https://pith.science/api/pith-number/JIGRW63HM5ST347374VAICSP5O/events.json","paper":"https://pith.science/paper/JIGRW63H"},"agent_actions":{"view_html":"https://pith.science/pith/JIGRW63HM5ST347374VAICSP5O","download_json":"https://pith.science/pith/JIGRW63HM5ST347374VAICSP5O.json","view_paper":"https://pith.science/paper/JIGRW63H","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2307.10889&json=true","fetch_graph":"https://pith.science/api/pith-number/JIGRW63HM5ST347374VAICSP5O/graph.json","fetch_events":"https://pith.science/api/pith-number/JIGRW63HM5ST347374VAICSP5O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JIGRW63HM5ST347374VAICSP5O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JIGRW63HM5ST347374VAICSP5O/action/storage_attestation","attest_author":"https://pith.science/pith/JIGRW63HM5ST347374VAICSP5O/action/author_attestation","sign_citation":"https://pith.science/pith/JIGRW63HM5ST347374VAICSP5O/action/citation_signature","submit_replication":"https://pith.science/pith/JIGRW63HM5ST347374VAICSP5O/action/replication_record"}},"created_at":"2026-07-05T08:17:47.993124+00:00","updated_at":"2026-07-05T08:17:47.993124+00:00"}