{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:2ROIWJZDHUTNTR3DIJ5NWIKBF7","short_pith_number":"pith:2ROIWJZD","schema_version":"1.0","canonical_sha256":"d45c8b27233d26d9c763427adb21412fd0d4491e20db098fdb8fecba492c3df1","source":{"kind":"arxiv","id":"math/0411552","version":1},"attestation_state":"computed","paper":{"title":"Exact variations for stochastic heat equations driven by space--time white noise","license":"","headline":"","cross_cats":["math.AP"],"primary_cat":"math.PR","authors_text":"Jan Pospisil, Roger Tribe","submitted_at":"2004-11-24T15:14:01Z","abstract_excerpt":"This paper calculates the exact quadratic variation in space and quartic variation in time for the solutions to a one dimensional stochastic heat equation driven by a multiplicative space-time white noise."},"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":"math/0411552","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.PR","submitted_at":"2004-11-24T15:14:01Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"d3787ba8e5a632bf1ac1d72e6678bef7d348807320880a3c39d871e27ef44c75","abstract_canon_sha256":"b61ecde0af2f75783934e3aa751c4a8300561ed00b9f1a5d3864c83a81122799"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:44.278693Z","signature_b64":"QWeXjhmIwVSbfs9hj21am+8XxZwAR10khEopcOhJA84xHHyCBfbY0vjF2uoBS6E+fal31QkTyZku/CijbyeWCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d45c8b27233d26d9c763427adb21412fd0d4491e20db098fdb8fecba492c3df1","last_reissued_at":"2026-05-18T00:07:44.277986Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:44.277986Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact variations for stochastic heat equations driven by space--time white noise","license":"","headline":"","cross_cats":["math.AP"],"primary_cat":"math.PR","authors_text":"Jan Pospisil, Roger Tribe","submitted_at":"2004-11-24T15:14:01Z","abstract_excerpt":"This paper calculates the exact quadratic variation in space and quartic variation in time for the solutions to a one dimensional stochastic heat equation driven by a multiplicative space-time white noise."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0411552","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"math/0411552","created_at":"2026-05-18T00:07:44.278097+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0411552v1","created_at":"2026-05-18T00:07:44.278097+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0411552","created_at":"2026-05-18T00:07:44.278097+00:00"},{"alias_kind":"pith_short_12","alias_value":"2ROIWJZDHUTN","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_16","alias_value":"2ROIWJZDHUTNTR3D","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_8","alias_value":"2ROIWJZD","created_at":"2026-05-18T12:25:52.051335+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/2ROIWJZDHUTNTR3DIJ5NWIKBF7","json":"https://pith.science/pith/2ROIWJZDHUTNTR3DIJ5NWIKBF7.json","graph_json":"https://pith.science/api/pith-number/2ROIWJZDHUTNTR3DIJ5NWIKBF7/graph.json","events_json":"https://pith.science/api/pith-number/2ROIWJZDHUTNTR3DIJ5NWIKBF7/events.json","paper":"https://pith.science/paper/2ROIWJZD"},"agent_actions":{"view_html":"https://pith.science/pith/2ROIWJZDHUTNTR3DIJ5NWIKBF7","download_json":"https://pith.science/pith/2ROIWJZDHUTNTR3DIJ5NWIKBF7.json","view_paper":"https://pith.science/paper/2ROIWJZD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0411552&json=true","fetch_graph":"https://pith.science/api/pith-number/2ROIWJZDHUTNTR3DIJ5NWIKBF7/graph.json","fetch_events":"https://pith.science/api/pith-number/2ROIWJZDHUTNTR3DIJ5NWIKBF7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2ROIWJZDHUTNTR3DIJ5NWIKBF7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2ROIWJZDHUTNTR3DIJ5NWIKBF7/action/storage_attestation","attest_author":"https://pith.science/pith/2ROIWJZDHUTNTR3DIJ5NWIKBF7/action/author_attestation","sign_citation":"https://pith.science/pith/2ROIWJZDHUTNTR3DIJ5NWIKBF7/action/citation_signature","submit_replication":"https://pith.science/pith/2ROIWJZDHUTNTR3DIJ5NWIKBF7/action/replication_record"}},"created_at":"2026-05-18T00:07:44.278097+00:00","updated_at":"2026-05-18T00:07:44.278097+00:00"}