{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:FW23DH5AFZSJYFG2P53SUJDNSM","short_pith_number":"pith:FW23DH5A","canonical_record":{"source":{"id":"1102.1581","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-02-08T12:01:33Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"6ce78f96f2a882821766e50eec53185d985b367e46675754a9b56063c55ede88","abstract_canon_sha256":"d60b05ded6c5e828a549e0b936fdd7520cc99cb80fb1d56ebf8a384c699aebc6"},"schema_version":"1.0"},"canonical_sha256":"2db5b19fa02e649c14da7f772a246d9305a190328462792f8ea383426c7150a7","source":{"kind":"arxiv","id":"1102.1581","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1581","created_at":"2026-05-18T02:22:39Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1581v2","created_at":"2026-05-18T02:22:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1581","created_at":"2026-05-18T02:22:39Z"},{"alias_kind":"pith_short_12","alias_value":"FW23DH5AFZSJ","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FW23DH5AFZSJYFG2","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FW23DH5A","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:FW23DH5AFZSJYFG2P53SUJDNSM","target":"record","payload":{"canonical_record":{"source":{"id":"1102.1581","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-02-08T12:01:33Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"6ce78f96f2a882821766e50eec53185d985b367e46675754a9b56063c55ede88","abstract_canon_sha256":"d60b05ded6c5e828a549e0b936fdd7520cc99cb80fb1d56ebf8a384c699aebc6"},"schema_version":"1.0"},"canonical_sha256":"2db5b19fa02e649c14da7f772a246d9305a190328462792f8ea383426c7150a7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:22:39.728638Z","signature_b64":"xRFw5ww6YxHyRVF6ZNWX85+yci+PdA1S/Vk2Sbbb9nw9q4nH08tUDQ9TOWH07LkswciPk9G0igrPvPVGooWxAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2db5b19fa02e649c14da7f772a246d9305a190328462792f8ea383426c7150a7","last_reissued_at":"2026-05-18T02:22:39.727964Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:22:39.727964Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.1581","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:22:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LFyooV5+CvvIYOOzhE86kH35ehP/LXlbj9x5OrobJhDKHOcKLhR4fbT/YBcgcXIrgl1wGwCSchF55JViVffmDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T12:54:19.069846Z"},"content_sha256":"3c3affa704d214dbfd28ffb22677069f2156f2fac89ee9b47616b5e0022e68d1","schema_version":"1.0","event_id":"sha256:3c3affa704d214dbfd28ffb22677069f2156f2fac89ee9b47616b5e0022e68d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:FW23DH5AFZSJYFG2P53SUJDNSM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ito and Stratonovich calculuses in stochastic field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Juha Honkonen","submitted_at":"2011-02-08T12:01:33Z","abstract_excerpt":"Ambiguities in the functional-integral solution of the stochastic differential equation (SDE) arising due to the definition on the functional Jacobi determinant and the white-in-time limit in the noise are analyzed and two forms of the de Dominicis-Janssen dynamic action proposed corresponding to the Ito and Stratonovich interpretations of the SDE."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1581","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:22:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yyPiyhlADlcZ20kyn964Z+Qn8ZBpHQq+fFow8+TUM3WaXQUn7HxtSXy4+u7O84D1703C91QsqmPTjpQWWKamCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T12:54:19.070182Z"},"content_sha256":"711e20d561bab09fb87b26e4db44fa5434853b9a878f5906766244b0096965b3","schema_version":"1.0","event_id":"sha256:711e20d561bab09fb87b26e4db44fa5434853b9a878f5906766244b0096965b3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FW23DH5AFZSJYFG2P53SUJDNSM/bundle.json","state_url":"https://pith.science/pith/FW23DH5AFZSJYFG2P53SUJDNSM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FW23DH5AFZSJYFG2P53SUJDNSM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-02T12:54:19Z","links":{"resolver":"https://pith.science/pith/FW23DH5AFZSJYFG2P53SUJDNSM","bundle":"https://pith.science/pith/FW23DH5AFZSJYFG2P53SUJDNSM/bundle.json","state":"https://pith.science/pith/FW23DH5AFZSJYFG2P53SUJDNSM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FW23DH5AFZSJYFG2P53SUJDNSM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FW23DH5AFZSJYFG2P53SUJDNSM","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d60b05ded6c5e828a549e0b936fdd7520cc99cb80fb1d56ebf8a384c699aebc6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-02-08T12:01:33Z","title_canon_sha256":"6ce78f96f2a882821766e50eec53185d985b367e46675754a9b56063c55ede88"},"schema_version":"1.0","source":{"id":"1102.1581","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1581","created_at":"2026-05-18T02:22:39Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1581v2","created_at":"2026-05-18T02:22:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1581","created_at":"2026-05-18T02:22:39Z"},{"alias_kind":"pith_short_12","alias_value":"FW23DH5AFZSJ","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FW23DH5AFZSJYFG2","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FW23DH5A","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:711e20d561bab09fb87b26e4db44fa5434853b9a878f5906766244b0096965b3","target":"graph","created_at":"2026-05-18T02:22:39Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Ambiguities in the functional-integral solution of the stochastic differential equation (SDE) arising due to the definition on the functional Jacobi determinant and the white-in-time limit in the noise are analyzed and two forms of the de Dominicis-Janssen dynamic action proposed corresponding to the Ito and Stratonovich interpretations of the SDE.","authors_text":"Juha Honkonen","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-02-08T12:01:33Z","title":"Ito and Stratonovich calculuses in stochastic field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1581","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3c3affa704d214dbfd28ffb22677069f2156f2fac89ee9b47616b5e0022e68d1","target":"record","created_at":"2026-05-18T02:22:39Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d60b05ded6c5e828a549e0b936fdd7520cc99cb80fb1d56ebf8a384c699aebc6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-02-08T12:01:33Z","title_canon_sha256":"6ce78f96f2a882821766e50eec53185d985b367e46675754a9b56063c55ede88"},"schema_version":"1.0","source":{"id":"1102.1581","kind":"arxiv","version":2}},"canonical_sha256":"2db5b19fa02e649c14da7f772a246d9305a190328462792f8ea383426c7150a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2db5b19fa02e649c14da7f772a246d9305a190328462792f8ea383426c7150a7","first_computed_at":"2026-05-18T02:22:39.727964Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:22:39.727964Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xRFw5ww6YxHyRVF6ZNWX85+yci+PdA1S/Vk2Sbbb9nw9q4nH08tUDQ9TOWH07LkswciPk9G0igrPvPVGooWxAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:22:39.728638Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.1581","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c3affa704d214dbfd28ffb22677069f2156f2fac89ee9b47616b5e0022e68d1","sha256:711e20d561bab09fb87b26e4db44fa5434853b9a878f5906766244b0096965b3"],"state_sha256":"09b982df07705a212767af383b68bbfd80916003682b3fabd65035e651c95ac5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a6fw198nLNmIY2PITbCe0QRjWY1xu9tlC20L/wTxg8nGqrDcC2CvLLy6VmvgRXigdDDF7bXVwanGlW2dCFJNDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T12:54:19.072109Z","bundle_sha256":"fcb74f4b203d1113aeb58eaf79be2c777b94a3f401d6f18e4bee615b3942f3d3"}}