{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:QXHUHGDRZH4I33CXS4HK2BMCFZ","short_pith_number":"pith:QXHUHGDR","canonical_record":{"source":{"id":"1007.3791","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-07-22T02:48:25Z","cross_cats_sorted":["cond-mat.stat-mech","physics.chem-ph"],"title_canon_sha256":"fd32ae9de1323cc0f15bc570e4c8c69f3ad90de25292b5fb0db2ef72673ba3a1","abstract_canon_sha256":"49e4a68753ca5fa4926db65db2990055b182334cb92196a5c21e87d2ad7a7867"},"schema_version":"1.0"},"canonical_sha256":"85cf439871c9f88dec57970ead05822e7cc2c2cd777e0dc9773e33d26f3b4b23","source":{"kind":"arxiv","id":"1007.3791","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.3791","created_at":"2026-05-18T04:27:16Z"},{"alias_kind":"arxiv_version","alias_value":"1007.3791v1","created_at":"2026-05-18T04:27:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.3791","created_at":"2026-05-18T04:27:16Z"},{"alias_kind":"pith_short_12","alias_value":"QXHUHGDRZH4I","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"QXHUHGDRZH4I33CX","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"QXHUHGDR","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:QXHUHGDRZH4I33CXS4HK2BMCFZ","target":"record","payload":{"canonical_record":{"source":{"id":"1007.3791","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-07-22T02:48:25Z","cross_cats_sorted":["cond-mat.stat-mech","physics.chem-ph"],"title_canon_sha256":"fd32ae9de1323cc0f15bc570e4c8c69f3ad90de25292b5fb0db2ef72673ba3a1","abstract_canon_sha256":"49e4a68753ca5fa4926db65db2990055b182334cb92196a5c21e87d2ad7a7867"},"schema_version":"1.0"},"canonical_sha256":"85cf439871c9f88dec57970ead05822e7cc2c2cd777e0dc9773e33d26f3b4b23","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:27:16.278096Z","signature_b64":"xu4AA2Bge2A3rOeGH3VEzD/x6dbPodLjRow0HHMpoYKylldJqXFCZtOyDu2QysU2AT9dAj5xkA8qA7dOzrqlCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85cf439871c9f88dec57970ead05822e7cc2c2cd777e0dc9773e33d26f3b4b23","last_reissued_at":"2026-05-18T04:27:16.277462Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:27:16.277462Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1007.3791","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":"2026-05-18T04:27:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ofFOB+CgAe4SdQ1wgEJMh49U62KW9CFR2gfkErpFPS3TMioSIqsXDdglNQQygIPbJn8GeGi3E4WQ06GpEK61DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:00:36.772100Z"},"content_sha256":"fae5c075852ff7114c6a15d8fc899d10425186f40d469e4560dc9524773c4465","schema_version":"1.0","event_id":"sha256:fae5c075852ff7114c6a15d8fc899d10425186f40d469e4560dc9524773c4465"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:QXHUHGDRZH4I33CXS4HK2BMCFZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-Markovian finite-temperature two-time correlation functions of system operators of a pure-dephasing model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.chem-ph"],"primary_cat":"quant-ph","authors_text":"Chung-Chin Jian, Hsi-Sheng Goan, Po-Wen Chen","submitted_at":"2010-07-22T02:48:25Z","abstract_excerpt":"We evaluate the non-Markovian finite-temperature two-time correlation functions (CF's) of system operators of a pure-dephasing spin-boson model in two different ways, one by the direct exact operator technique and the other by the recently derived evolution equations, valid to second order in the system-environment interaction Hamiltonian. This pure-dephasing spin-boson model that is exactly solvable has been extensively studied as a simple decoherence model. However, its exact non-Markovian finite-temperature two-time system operator CF's, to our knowledge, have not been presented in the lite"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.3791","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:27:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7FVOzES03YG3fxmV0ZQ+dvBQ6c+/2fPlJR1Y1ghsJ50gAH7YCd8vsepTyCFMXXXOV6KKazl7yX8Hu3Ttb3F9AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:00:36.772481Z"},"content_sha256":"ed8ac54701e8c90ab007d7af004e3a3e1e538af8dc530075fc5fa839ddae9702","schema_version":"1.0","event_id":"sha256:ed8ac54701e8c90ab007d7af004e3a3e1e538af8dc530075fc5fa839ddae9702"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QXHUHGDRZH4I33CXS4HK2BMCFZ/bundle.json","state_url":"https://pith.science/pith/QXHUHGDRZH4I33CXS4HK2BMCFZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QXHUHGDRZH4I33CXS4HK2BMCFZ/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":"2026-06-03T20:00:36Z","links":{"resolver":"https://pith.science/pith/QXHUHGDRZH4I33CXS4HK2BMCFZ","bundle":"https://pith.science/pith/QXHUHGDRZH4I33CXS4HK2BMCFZ/bundle.json","state":"https://pith.science/pith/QXHUHGDRZH4I33CXS4HK2BMCFZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QXHUHGDRZH4I33CXS4HK2BMCFZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QXHUHGDRZH4I33CXS4HK2BMCFZ","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":"49e4a68753ca5fa4926db65db2990055b182334cb92196a5c21e87d2ad7a7867","cross_cats_sorted":["cond-mat.stat-mech","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-07-22T02:48:25Z","title_canon_sha256":"fd32ae9de1323cc0f15bc570e4c8c69f3ad90de25292b5fb0db2ef72673ba3a1"},"schema_version":"1.0","source":{"id":"1007.3791","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.3791","created_at":"2026-05-18T04:27:16Z"},{"alias_kind":"arxiv_version","alias_value":"1007.3791v1","created_at":"2026-05-18T04:27:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.3791","created_at":"2026-05-18T04:27:16Z"},{"alias_kind":"pith_short_12","alias_value":"QXHUHGDRZH4I","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"QXHUHGDRZH4I33CX","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"QXHUHGDR","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:ed8ac54701e8c90ab007d7af004e3a3e1e538af8dc530075fc5fa839ddae9702","target":"graph","created_at":"2026-05-18T04:27:16Z","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"},"paper":{"abstract_excerpt":"We evaluate the non-Markovian finite-temperature two-time correlation functions (CF's) of system operators of a pure-dephasing spin-boson model in two different ways, one by the direct exact operator technique and the other by the recently derived evolution equations, valid to second order in the system-environment interaction Hamiltonian. This pure-dephasing spin-boson model that is exactly solvable has been extensively studied as a simple decoherence model. However, its exact non-Markovian finite-temperature two-time system operator CF's, to our knowledge, have not been presented in the lite","authors_text":"Chung-Chin Jian, Hsi-Sheng Goan, Po-Wen Chen","cross_cats":["cond-mat.stat-mech","physics.chem-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-07-22T02:48:25Z","title":"Non-Markovian finite-temperature two-time correlation functions of system operators of a pure-dephasing model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.3791","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:fae5c075852ff7114c6a15d8fc899d10425186f40d469e4560dc9524773c4465","target":"record","created_at":"2026-05-18T04:27:16Z","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":"49e4a68753ca5fa4926db65db2990055b182334cb92196a5c21e87d2ad7a7867","cross_cats_sorted":["cond-mat.stat-mech","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-07-22T02:48:25Z","title_canon_sha256":"fd32ae9de1323cc0f15bc570e4c8c69f3ad90de25292b5fb0db2ef72673ba3a1"},"schema_version":"1.0","source":{"id":"1007.3791","kind":"arxiv","version":1}},"canonical_sha256":"85cf439871c9f88dec57970ead05822e7cc2c2cd777e0dc9773e33d26f3b4b23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85cf439871c9f88dec57970ead05822e7cc2c2cd777e0dc9773e33d26f3b4b23","first_computed_at":"2026-05-18T04:27:16.277462Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:16.277462Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xu4AA2Bge2A3rOeGH3VEzD/x6dbPodLjRow0HHMpoYKylldJqXFCZtOyDu2QysU2AT9dAj5xkA8qA7dOzrqlCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:16.278096Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.3791","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fae5c075852ff7114c6a15d8fc899d10425186f40d469e4560dc9524773c4465","sha256:ed8ac54701e8c90ab007d7af004e3a3e1e538af8dc530075fc5fa839ddae9702"],"state_sha256":"dc693ee5e8945fed0a145b4b56b9b0c962d28dcde1a866396610896c22171b33"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YWzNdo1KH1UMG98eL8G+WjW3DJzCq1+xKENBOcJ2SfQ1ZJFUd5xLr7F9y0mDPT2ZsYQKyS4TOxHlMxjORB1yCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T20:00:36.774483Z","bundle_sha256":"68e8def2f602958d682dc3baa13de591e28d33a37b784c08c25aaa76adf007b8"}}