{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:OUAA5VTOWO5GVN6OE7E2A4FV2R","short_pith_number":"pith:OUAA5VTO","schema_version":"1.0","canonical_sha256":"75000ed66eb3ba6ab7ce27c9a070b5d45386ba9893a81c687867ec616af2e440","source":{"kind":"arxiv","id":"1406.0112","version":1},"attestation_state":"computed","paper":{"title":"Marcus versus Stratonovich for Systems with Jump Noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Alexei Chechkin, Ilya Pavlyukevich","submitted_at":"2014-05-31T21:05:11Z","abstract_excerpt":"The famous It\\^o-Stratonovich dilemma arises when one examines a dynamical system with a multiplicative white noise. In physics literature, this dilemma is often resolved in favour of the Stratonovich prescription because of its two characteristic properties valid for systems driven by Brownian motion: (i) it allows physicists to treat stochastic integrals in the same way as conventional integrals, and (ii) it appears naturally as a result of a small correlation time limit procedure. On the other hand, the Marcus prescription [IEEE Trans. Inform. Theory 24, 164 (1978); Stochastics 4, 223 (1981"},"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":"1406.0112","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-05-31T21:05:11Z","cross_cats_sorted":[],"title_canon_sha256":"23f213624277b08740ce65a902d49dc69560819628ab87f4dd69214ca93e4b4f","abstract_canon_sha256":"c37df1bae0c6bc68c07a9b0dd38c5f2b0cb2d5b8ed0b5b566e49b744c4dadc52"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:04.354894Z","signature_b64":"vCxhWOZYFhr4eDLz+G5W0CnbmcEVucUGACQuN3/rJzGuWmvgyBJaSpUEuYIGNavW1gzCb1xm4NKGAvO92TB1BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75000ed66eb3ba6ab7ce27c9a070b5d45386ba9893a81c687867ec616af2e440","last_reissued_at":"2026-05-18T01:43:04.354523Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:04.354523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Marcus versus Stratonovich for Systems with Jump Noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Alexei Chechkin, Ilya Pavlyukevich","submitted_at":"2014-05-31T21:05:11Z","abstract_excerpt":"The famous It\\^o-Stratonovich dilemma arises when one examines a dynamical system with a multiplicative white noise. In physics literature, this dilemma is often resolved in favour of the Stratonovich prescription because of its two characteristic properties valid for systems driven by Brownian motion: (i) it allows physicists to treat stochastic integrals in the same way as conventional integrals, and (ii) it appears naturally as a result of a small correlation time limit procedure. On the other hand, the Marcus prescription [IEEE Trans. Inform. Theory 24, 164 (1978); Stochastics 4, 223 (1981"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0112","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":"1406.0112","created_at":"2026-05-18T01:43:04.354583+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.0112v1","created_at":"2026-05-18T01:43:04.354583+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0112","created_at":"2026-05-18T01:43:04.354583+00:00"},{"alias_kind":"pith_short_12","alias_value":"OUAA5VTOWO5G","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_16","alias_value":"OUAA5VTOWO5GVN6O","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_8","alias_value":"OUAA5VTO","created_at":"2026-05-18T12:28:43.426989+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/OUAA5VTOWO5GVN6OE7E2A4FV2R","json":"https://pith.science/pith/OUAA5VTOWO5GVN6OE7E2A4FV2R.json","graph_json":"https://pith.science/api/pith-number/OUAA5VTOWO5GVN6OE7E2A4FV2R/graph.json","events_json":"https://pith.science/api/pith-number/OUAA5VTOWO5GVN6OE7E2A4FV2R/events.json","paper":"https://pith.science/paper/OUAA5VTO"},"agent_actions":{"view_html":"https://pith.science/pith/OUAA5VTOWO5GVN6OE7E2A4FV2R","download_json":"https://pith.science/pith/OUAA5VTOWO5GVN6OE7E2A4FV2R.json","view_paper":"https://pith.science/paper/OUAA5VTO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.0112&json=true","fetch_graph":"https://pith.science/api/pith-number/OUAA5VTOWO5GVN6OE7E2A4FV2R/graph.json","fetch_events":"https://pith.science/api/pith-number/OUAA5VTOWO5GVN6OE7E2A4FV2R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OUAA5VTOWO5GVN6OE7E2A4FV2R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OUAA5VTOWO5GVN6OE7E2A4FV2R/action/storage_attestation","attest_author":"https://pith.science/pith/OUAA5VTOWO5GVN6OE7E2A4FV2R/action/author_attestation","sign_citation":"https://pith.science/pith/OUAA5VTOWO5GVN6OE7E2A4FV2R/action/citation_signature","submit_replication":"https://pith.science/pith/OUAA5VTOWO5GVN6OE7E2A4FV2R/action/replication_record"}},"created_at":"2026-05-18T01:43:04.354583+00:00","updated_at":"2026-05-18T01:43:04.354583+00:00"}