{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:OK4UFJT5II745TQUPHQRH5SHKG","short_pith_number":"pith:OK4UFJT5","schema_version":"1.0","canonical_sha256":"72b942a67d423fcece1479e113f6475184b70d3066b09649f33132c6392cf6b8","source":{"kind":"arxiv","id":"1911.12735","version":1},"attestation_state":"computed","paper":{"title":"Prerequisites for relevant spectral density and convergence of reduced density matrices at low temperatures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"physics.chem-ph","authors_text":"Akihito Ishizaki","submitted_at":"2019-11-28T14:47:31Z","abstract_excerpt":"Hierarchical equations of motion approach with the Drude-Lorentz spectral density has been widely employed in investigating quantum dissipative phenomena. However, it is often computationally costly for low-temperature systems because a number of Matsubara frequencies are involved. In this note, we examine a prerequisite required for spectral density, and demonstrate that relevant spectral density may significantly reduce the number of Matsubara terms to obtain convergent results for low temperatures."},"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":"1911.12735","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2019-11-28T14:47:31Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"e9d1f10d5e393e5f1dc6a46d3baa1ab8f032e70e5d36ca6f90662ba40922285d","abstract_canon_sha256":"2b7d53cd8b84fa25ff7d250c7e8bbff100cd5730e3977bc896b8cd6f566dd81b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:04:47.176024Z","signature_b64":"3alzUoqfpFcrXeBSY14ZkGOlM0+UWVIwXIXA+vJObw5N9bNCAki3dfTTZNpx3ZSHULFDem/WYrfP4Z164o4kDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"72b942a67d423fcece1479e113f6475184b70d3066b09649f33132c6392cf6b8","last_reissued_at":"2026-07-05T01:04:47.175480Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:04:47.175480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Prerequisites for relevant spectral density and convergence of reduced density matrices at low temperatures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"physics.chem-ph","authors_text":"Akihito Ishizaki","submitted_at":"2019-11-28T14:47:31Z","abstract_excerpt":"Hierarchical equations of motion approach with the Drude-Lorentz spectral density has been widely employed in investigating quantum dissipative phenomena. However, it is often computationally costly for low-temperature systems because a number of Matsubara frequencies are involved. In this note, we examine a prerequisite required for spectral density, and demonstrate that relevant spectral density may significantly reduce the number of Matsubara terms to obtain convergent results for low temperatures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.12735","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/1911.12735/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":"1911.12735","created_at":"2026-07-05T01:04:47.175553+00:00"},{"alias_kind":"arxiv_version","alias_value":"1911.12735v1","created_at":"2026-07-05T01:04:47.175553+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.12735","created_at":"2026-07-05T01:04:47.175553+00:00"},{"alias_kind":"pith_short_12","alias_value":"OK4UFJT5II74","created_at":"2026-07-05T01:04:47.175553+00:00"},{"alias_kind":"pith_short_16","alias_value":"OK4UFJT5II745TQU","created_at":"2026-07-05T01:04:47.175553+00:00"},{"alias_kind":"pith_short_8","alias_value":"OK4UFJT5","created_at":"2026-07-05T01:04:47.175553+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/OK4UFJT5II745TQUPHQRH5SHKG","json":"https://pith.science/pith/OK4UFJT5II745TQUPHQRH5SHKG.json","graph_json":"https://pith.science/api/pith-number/OK4UFJT5II745TQUPHQRH5SHKG/graph.json","events_json":"https://pith.science/api/pith-number/OK4UFJT5II745TQUPHQRH5SHKG/events.json","paper":"https://pith.science/paper/OK4UFJT5"},"agent_actions":{"view_html":"https://pith.science/pith/OK4UFJT5II745TQUPHQRH5SHKG","download_json":"https://pith.science/pith/OK4UFJT5II745TQUPHQRH5SHKG.json","view_paper":"https://pith.science/paper/OK4UFJT5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1911.12735&json=true","fetch_graph":"https://pith.science/api/pith-number/OK4UFJT5II745TQUPHQRH5SHKG/graph.json","fetch_events":"https://pith.science/api/pith-number/OK4UFJT5II745TQUPHQRH5SHKG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OK4UFJT5II745TQUPHQRH5SHKG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OK4UFJT5II745TQUPHQRH5SHKG/action/storage_attestation","attest_author":"https://pith.science/pith/OK4UFJT5II745TQUPHQRH5SHKG/action/author_attestation","sign_citation":"https://pith.science/pith/OK4UFJT5II745TQUPHQRH5SHKG/action/citation_signature","submit_replication":"https://pith.science/pith/OK4UFJT5II745TQUPHQRH5SHKG/action/replication_record"}},"created_at":"2026-07-05T01:04:47.175553+00:00","updated_at":"2026-07-05T01:04:47.175553+00:00"}