{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:OG7CIY7M5EUYWAIVL52ANTZI7G","short_pith_number":"pith:OG7CIY7M","schema_version":"1.0","canonical_sha256":"71be2463ece9298b01155f7406cf28f9b35c2b3d3c5216a18ae28cb9f9fc669b","source":{"kind":"arxiv","id":"1512.03938","version":1},"attestation_state":"computed","paper":{"title":"On Dynamics of Correlations in Quantum Many-Particle Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","cond-mat.stat-mech","math.MP"],"primary_cat":"math-ph","authors_text":"V.I. Gerasimenko","submitted_at":"2015-12-12T17:15:14Z","abstract_excerpt":"The paper deals with the problem of the rigorous description of the evolution of states of large particle quantum systems by means of correlation operators. A nonperturbative solution of the Cauchy problem of the hierarchy of nonlinear evolution equations for a sequence of marginal correlation operators is constructed. For initial states specified in terms of a one-particle density operator and correlation operators we also develop an approach to the description of the processes of the creation and the propagation of correlations within the framework of a one-particle density operator. Moreove"},"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":"1512.03938","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-12-12T17:15:14Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.stat-mech","math.MP"],"title_canon_sha256":"d8c5beb30986ff26f79e3449d00f15497511d122291d6b5f6e63f459e52e4703","abstract_canon_sha256":"0f37b2bdf470a3e4b3cb013f8c4ce12437b8312116f067a63f0753808cfc2474"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:08.336659Z","signature_b64":"mwEV8JrzEd755KloVr/f3nfgapU9FGURUgu1//gz+D9sWlGhiv6bcrTv0kSPdlBpqpSlcgNtcvOzgoNK1U1SDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71be2463ece9298b01155f7406cf28f9b35c2b3d3c5216a18ae28cb9f9fc669b","last_reissued_at":"2026-05-18T00:41:08.335940Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:08.335940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Dynamics of Correlations in Quantum Many-Particle Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","cond-mat.stat-mech","math.MP"],"primary_cat":"math-ph","authors_text":"V.I. Gerasimenko","submitted_at":"2015-12-12T17:15:14Z","abstract_excerpt":"The paper deals with the problem of the rigorous description of the evolution of states of large particle quantum systems by means of correlation operators. A nonperturbative solution of the Cauchy problem of the hierarchy of nonlinear evolution equations for a sequence of marginal correlation operators is constructed. For initial states specified in terms of a one-particle density operator and correlation operators we also develop an approach to the description of the processes of the creation and the propagation of correlations within the framework of a one-particle density operator. Moreove"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.03938","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":"1512.03938","created_at":"2026-05-18T00:41:08.336047+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.03938v1","created_at":"2026-05-18T00:41:08.336047+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.03938","created_at":"2026-05-18T00:41:08.336047+00:00"},{"alias_kind":"pith_short_12","alias_value":"OG7CIY7M5EUY","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_16","alias_value":"OG7CIY7M5EUYWAIV","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_8","alias_value":"OG7CIY7M","created_at":"2026-05-18T12:29:34.919912+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/OG7CIY7M5EUYWAIVL52ANTZI7G","json":"https://pith.science/pith/OG7CIY7M5EUYWAIVL52ANTZI7G.json","graph_json":"https://pith.science/api/pith-number/OG7CIY7M5EUYWAIVL52ANTZI7G/graph.json","events_json":"https://pith.science/api/pith-number/OG7CIY7M5EUYWAIVL52ANTZI7G/events.json","paper":"https://pith.science/paper/OG7CIY7M"},"agent_actions":{"view_html":"https://pith.science/pith/OG7CIY7M5EUYWAIVL52ANTZI7G","download_json":"https://pith.science/pith/OG7CIY7M5EUYWAIVL52ANTZI7G.json","view_paper":"https://pith.science/paper/OG7CIY7M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.03938&json=true","fetch_graph":"https://pith.science/api/pith-number/OG7CIY7M5EUYWAIVL52ANTZI7G/graph.json","fetch_events":"https://pith.science/api/pith-number/OG7CIY7M5EUYWAIVL52ANTZI7G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OG7CIY7M5EUYWAIVL52ANTZI7G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OG7CIY7M5EUYWAIVL52ANTZI7G/action/storage_attestation","attest_author":"https://pith.science/pith/OG7CIY7M5EUYWAIVL52ANTZI7G/action/author_attestation","sign_citation":"https://pith.science/pith/OG7CIY7M5EUYWAIVL52ANTZI7G/action/citation_signature","submit_replication":"https://pith.science/pith/OG7CIY7M5EUYWAIVL52ANTZI7G/action/replication_record"}},"created_at":"2026-05-18T00:41:08.336047+00:00","updated_at":"2026-05-18T00:41:08.336047+00:00"}