{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:PYW5POMRWKFBA6URHRA3MPY4F3","short_pith_number":"pith:PYW5POMR","schema_version":"1.0","canonical_sha256":"7e2dd7b991b28a107a913c41b63f1c2ee478a52d1a477f181a7d6a60df72bcc5","source":{"kind":"arxiv","id":"2605.29508","version":1},"attestation_state":"computed","paper":{"title":"Quantum Markovian Dynamics from a Double Covariance Stochastic Framework","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.PR"],"primary_cat":"quant-ph","authors_text":"Andrei Khrennikov","submitted_at":"2026-05-28T07:30:55Z","abstract_excerpt":"We develop an interacting extension of the Double Covariance Model (DCM), a stochastic subquantum framework in which macroscopic quantum dynamics emerge through coarse-graining of correlated microscopic fluctuations. Starting from local stochastic differential equations on subsystem Hilbert spaces, we derive a closed evolution equation for a coarse-grained double covariance operator using multi-scale It\\^o calculus and sliding-window averaging. The construction explicitly incorporates two separated temporal scales: a fast microscopic fluctuation scale governing subquantum stochastic processes "},"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":"2605.29508","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-28T07:30:55Z","cross_cats_sorted":["math.DS","math.PR"],"title_canon_sha256":"fe48bf7beea71ddf3e3dd9fe511d641f093a2b2da5ded8165ce401d92f002525","abstract_canon_sha256":"f3b83f93c9779bacdf31ac99bbf937dbaec190fcfb9f1da64085921e1af5836b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-29T01:05:43.629439Z","signature_b64":"RvxPCxS2lxftXXXTq03KKJOmvcfCCGkDC5CBOFcVz/oPJDAuihzgm6gSS/8q4/MPZZsJQDvic+qFoBiBMsLGAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e2dd7b991b28a107a913c41b63f1c2ee478a52d1a477f181a7d6a60df72bcc5","last_reissued_at":"2026-05-29T01:05:43.628573Z","signature_status":"signed_v1","first_computed_at":"2026-05-29T01:05:43.628573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Markovian Dynamics from a Double Covariance Stochastic Framework","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.PR"],"primary_cat":"quant-ph","authors_text":"Andrei Khrennikov","submitted_at":"2026-05-28T07:30:55Z","abstract_excerpt":"We develop an interacting extension of the Double Covariance Model (DCM), a stochastic subquantum framework in which macroscopic quantum dynamics emerge through coarse-graining of correlated microscopic fluctuations. Starting from local stochastic differential equations on subsystem Hilbert spaces, we derive a closed evolution equation for a coarse-grained double covariance operator using multi-scale It\\^o calculus and sliding-window averaging. The construction explicitly incorporates two separated temporal scales: a fast microscopic fluctuation scale governing subquantum stochastic processes "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.29508","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.29508/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":"2605.29508","created_at":"2026-05-29T01:05:43.628713+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.29508v1","created_at":"2026-05-29T01:05:43.628713+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.29508","created_at":"2026-05-29T01:05:43.628713+00:00"},{"alias_kind":"pith_short_12","alias_value":"PYW5POMRWKFB","created_at":"2026-05-29T01:05:43.628713+00:00"},{"alias_kind":"pith_short_16","alias_value":"PYW5POMRWKFBA6UR","created_at":"2026-05-29T01:05:43.628713+00:00"},{"alias_kind":"pith_short_8","alias_value":"PYW5POMR","created_at":"2026-05-29T01:05:43.628713+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/PYW5POMRWKFBA6URHRA3MPY4F3","json":"https://pith.science/pith/PYW5POMRWKFBA6URHRA3MPY4F3.json","graph_json":"https://pith.science/api/pith-number/PYW5POMRWKFBA6URHRA3MPY4F3/graph.json","events_json":"https://pith.science/api/pith-number/PYW5POMRWKFBA6URHRA3MPY4F3/events.json","paper":"https://pith.science/paper/PYW5POMR"},"agent_actions":{"view_html":"https://pith.science/pith/PYW5POMRWKFBA6URHRA3MPY4F3","download_json":"https://pith.science/pith/PYW5POMRWKFBA6URHRA3MPY4F3.json","view_paper":"https://pith.science/paper/PYW5POMR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.29508&json=true","fetch_graph":"https://pith.science/api/pith-number/PYW5POMRWKFBA6URHRA3MPY4F3/graph.json","fetch_events":"https://pith.science/api/pith-number/PYW5POMRWKFBA6URHRA3MPY4F3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PYW5POMRWKFBA6URHRA3MPY4F3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PYW5POMRWKFBA6URHRA3MPY4F3/action/storage_attestation","attest_author":"https://pith.science/pith/PYW5POMRWKFBA6URHRA3MPY4F3/action/author_attestation","sign_citation":"https://pith.science/pith/PYW5POMRWKFBA6URHRA3MPY4F3/action/citation_signature","submit_replication":"https://pith.science/pith/PYW5POMRWKFBA6URHRA3MPY4F3/action/replication_record"}},"created_at":"2026-05-29T01:05:43.628713+00:00","updated_at":"2026-05-29T01:05:43.628713+00:00"}