{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:PZLHTUS2MZSQE57RRN746ETRLQ","short_pith_number":"pith:PZLHTUS2","schema_version":"1.0","canonical_sha256":"7e5679d25a66650277f18b7fcf12715c2381730d9f5f60c535da434a4d987f21","source":{"kind":"arxiv","id":"2512.01840","version":2},"attestation_state":"computed","paper":{"title":"A Fluctuation-Dissipation Structure of Quantum Dynamical Semigroups Reveals a Unique Internal Hamiltonian","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fabricio Toscano, Sergey Sergeev","submitted_at":"2025-12-01T16:25:42Z","abstract_excerpt":"We refine a fluctuation-dissipation framework for quantum dynamical semigroups to resolve a long-standing ambiguity in Markovian master equations. For finite-dimensional systems, we prove that the underlying diffusion-dissipation structure - rooted in a classical Markov process analogy - is invariant under Lindblad generator symmetries. This invariance uniquely identifies the internal Hamiltonian. Our framework provides a universal principle for objectively distinguishing coherent from incoherent parts of the dynamics, enabling an unambiguous determination of a system's inherent energy structu"},"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":"2512.01840","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2025-12-01T16:25:42Z","cross_cats_sorted":[],"title_canon_sha256":"1f48ac6d443ba8cdcaf373df260e659795265c4acac82c58d877b712139694bd","abstract_canon_sha256":"5236ec55c2793fcf7ea635acc7552dd2cc10dc04d1097b45b55c35b2ce14f66e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T01:12:50.152129Z","signature_b64":"To870MSC9Ha1eaV7qRLIGu1wCD5t0cAWQ22Ru/etretu/uX7H3j3PnSrzMp5u1H/kk65FzCSprBJZqXg2VI3Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e5679d25a66650277f18b7fcf12715c2381730d9f5f60c535da434a4d987f21","last_reissued_at":"2026-06-23T01:12:50.151541Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T01:12:50.151541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Fluctuation-Dissipation Structure of Quantum Dynamical Semigroups Reveals a Unique Internal Hamiltonian","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fabricio Toscano, Sergey Sergeev","submitted_at":"2025-12-01T16:25:42Z","abstract_excerpt":"We refine a fluctuation-dissipation framework for quantum dynamical semigroups to resolve a long-standing ambiguity in Markovian master equations. For finite-dimensional systems, we prove that the underlying diffusion-dissipation structure - rooted in a classical Markov process analogy - is invariant under Lindblad generator symmetries. This invariance uniquely identifies the internal Hamiltonian. Our framework provides a universal principle for objectively distinguishing coherent from incoherent parts of the dynamics, enabling an unambiguous determination of a system's inherent energy structu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.01840","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2512.01840/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":"2512.01840","created_at":"2026-06-23T01:12:50.151617+00:00"},{"alias_kind":"arxiv_version","alias_value":"2512.01840v2","created_at":"2026-06-23T01:12:50.151617+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.01840","created_at":"2026-06-23T01:12:50.151617+00:00"},{"alias_kind":"pith_short_12","alias_value":"PZLHTUS2MZSQ","created_at":"2026-06-23T01:12:50.151617+00:00"},{"alias_kind":"pith_short_16","alias_value":"PZLHTUS2MZSQE57R","created_at":"2026-06-23T01:12:50.151617+00:00"},{"alias_kind":"pith_short_8","alias_value":"PZLHTUS2","created_at":"2026-06-23T01:12:50.151617+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/PZLHTUS2MZSQE57RRN746ETRLQ","json":"https://pith.science/pith/PZLHTUS2MZSQE57RRN746ETRLQ.json","graph_json":"https://pith.science/api/pith-number/PZLHTUS2MZSQE57RRN746ETRLQ/graph.json","events_json":"https://pith.science/api/pith-number/PZLHTUS2MZSQE57RRN746ETRLQ/events.json","paper":"https://pith.science/paper/PZLHTUS2"},"agent_actions":{"view_html":"https://pith.science/pith/PZLHTUS2MZSQE57RRN746ETRLQ","download_json":"https://pith.science/pith/PZLHTUS2MZSQE57RRN746ETRLQ.json","view_paper":"https://pith.science/paper/PZLHTUS2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2512.01840&json=true","fetch_graph":"https://pith.science/api/pith-number/PZLHTUS2MZSQE57RRN746ETRLQ/graph.json","fetch_events":"https://pith.science/api/pith-number/PZLHTUS2MZSQE57RRN746ETRLQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PZLHTUS2MZSQE57RRN746ETRLQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PZLHTUS2MZSQE57RRN746ETRLQ/action/storage_attestation","attest_author":"https://pith.science/pith/PZLHTUS2MZSQE57RRN746ETRLQ/action/author_attestation","sign_citation":"https://pith.science/pith/PZLHTUS2MZSQE57RRN746ETRLQ/action/citation_signature","submit_replication":"https://pith.science/pith/PZLHTUS2MZSQE57RRN746ETRLQ/action/replication_record"}},"created_at":"2026-06-23T01:12:50.151617+00:00","updated_at":"2026-06-23T01:12:50.151617+00:00"}