{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:OK4UFJT5II745TQUPHQRH5SHKG","short_pith_number":"pith:OK4UFJT5","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"},"canonical_sha256":"72b942a67d423fcece1479e113f6475184b70d3066b09649f33132c6392cf6b8","source":{"kind":"arxiv","id":"1911.12735","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.12735","created_at":"2026-07-05T01:04:47Z"},{"alias_kind":"arxiv_version","alias_value":"1911.12735v1","created_at":"2026-07-05T01:04:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.12735","created_at":"2026-07-05T01:04:47Z"},{"alias_kind":"pith_short_12","alias_value":"OK4UFJT5II74","created_at":"2026-07-05T01:04:47Z"},{"alias_kind":"pith_short_16","alias_value":"OK4UFJT5II745TQU","created_at":"2026-07-05T01:04:47Z"},{"alias_kind":"pith_short_8","alias_value":"OK4UFJT5","created_at":"2026-07-05T01:04:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:OK4UFJT5II745TQUPHQRH5SHKG","target":"record","payload":{"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"},"canonical_sha256":"72b942a67d423fcece1479e113f6475184b70d3066b09649f33132c6392cf6b8","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"},"source_kind":"arxiv","source_id":"1911.12735","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:04:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BLouzNQGyByWqUzPH/Z0C2l5YvStxGnDVilJGtZCk+Xvc5kvff4Oces9fZq66CKx6/i7o7c67JzUTJ+JrGi2Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:40:34.403331Z"},"content_sha256":"a989bba9f0c0958a5aa2e239044a1da5ff4ad579152f0837b070157a8a4f03b9","schema_version":"1.0","event_id":"sha256:a989bba9f0c0958a5aa2e239044a1da5ff4ad579152f0837b070157a8a4f03b9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:OK4UFJT5II745TQUPHQRH5SHKG","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:04:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7CQXxr63eb51d6xBtiAJ6GArgm2aDK+dMHk7S2lxucj0jv6GFtOnBYKZ0PKQbQ8ObsS78JY4Tr78898QblFQAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:40:34.403810Z"},"content_sha256":"be2bd47a68757b71d16aaa6055e10666e2cfb73682cbc33439f177cfd96c4d13","schema_version":"1.0","event_id":"sha256:be2bd47a68757b71d16aaa6055e10666e2cfb73682cbc33439f177cfd96c4d13"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OK4UFJT5II745TQUPHQRH5SHKG/bundle.json","state_url":"https://pith.science/pith/OK4UFJT5II745TQUPHQRH5SHKG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OK4UFJT5II745TQUPHQRH5SHKG/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-03T16:40:34Z","links":{"resolver":"https://pith.science/pith/OK4UFJT5II745TQUPHQRH5SHKG","bundle":"https://pith.science/pith/OK4UFJT5II745TQUPHQRH5SHKG/bundle.json","state":"https://pith.science/pith/OK4UFJT5II745TQUPHQRH5SHKG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OK4UFJT5II745TQUPHQRH5SHKG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:OK4UFJT5II745TQUPHQRH5SHKG","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2b7d53cd8b84fa25ff7d250c7e8bbff100cd5730e3977bc896b8cd6f566dd81b","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2019-11-28T14:47:31Z","title_canon_sha256":"e9d1f10d5e393e5f1dc6a46d3baa1ab8f032e70e5d36ca6f90662ba40922285d"},"schema_version":"1.0","source":{"id":"1911.12735","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.12735","created_at":"2026-07-05T01:04:47Z"},{"alias_kind":"arxiv_version","alias_value":"1911.12735v1","created_at":"2026-07-05T01:04:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.12735","created_at":"2026-07-05T01:04:47Z"},{"alias_kind":"pith_short_12","alias_value":"OK4UFJT5II74","created_at":"2026-07-05T01:04:47Z"},{"alias_kind":"pith_short_16","alias_value":"OK4UFJT5II745TQU","created_at":"2026-07-05T01:04:47Z"},{"alias_kind":"pith_short_8","alias_value":"OK4UFJT5","created_at":"2026-07-05T01:04:47Z"}],"graph_snapshots":[{"event_id":"sha256:be2bd47a68757b71d16aaa6055e10666e2cfb73682cbc33439f177cfd96c4d13","target":"graph","created_at":"2026-07-05T01:04:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1911.12735/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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.","authors_text":"Akihito Ishizaki","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2019-11-28T14:47:31Z","title":"Prerequisites for relevant spectral density and convergence of reduced density matrices at low temperatures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.12735","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a989bba9f0c0958a5aa2e239044a1da5ff4ad579152f0837b070157a8a4f03b9","target":"record","created_at":"2026-07-05T01:04:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2b7d53cd8b84fa25ff7d250c7e8bbff100cd5730e3977bc896b8cd6f566dd81b","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2019-11-28T14:47:31Z","title_canon_sha256":"e9d1f10d5e393e5f1dc6a46d3baa1ab8f032e70e5d36ca6f90662ba40922285d"},"schema_version":"1.0","source":{"id":"1911.12735","kind":"arxiv","version":1}},"canonical_sha256":"72b942a67d423fcece1479e113f6475184b70d3066b09649f33132c6392cf6b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"72b942a67d423fcece1479e113f6475184b70d3066b09649f33132c6392cf6b8","first_computed_at":"2026-07-05T01:04:47.175480Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:04:47.175480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3alzUoqfpFcrXeBSY14ZkGOlM0+UWVIwXIXA+vJObw5N9bNCAki3dfTTZNpx3ZSHULFDem/WYrfP4Z164o4kDA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:04:47.176024Z","signed_message":"canonical_sha256_bytes"},"source_id":"1911.12735","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a989bba9f0c0958a5aa2e239044a1da5ff4ad579152f0837b070157a8a4f03b9","sha256:be2bd47a68757b71d16aaa6055e10666e2cfb73682cbc33439f177cfd96c4d13"],"state_sha256":"ce831d48639bc39166cd1d88f8f34ff382f27ac16524b58af3ca2807c74caa4d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GEMOJ4WgwGhwC9zEVZKuTXrRudbLR65PJEm2zTN5kKdMrtvUGWsjn+cdpQ2IYlr3yjisZ/DIeKI6U2rl2zoyBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T16:40:34.407561Z","bundle_sha256":"8bcae70043e1cbb996d244ea962b033367875a7c2c1bd6f889bdde426e57dfdd"}}