{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:QMWEVWZXOWUHMT3NU5DZWMCA5K","short_pith_number":"pith:QMWEVWZX","canonical_record":{"source":{"id":"1002.2772","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-02-15T19:15:03Z","cross_cats_sorted":["cond-mat.other","quant-ph"],"title_canon_sha256":"ed54813ea736af2b7c612e1ffae153326a55f9796a1d6973fe3713be8239f51d","abstract_canon_sha256":"609fd4d0f257cc6fd71e40cb685de62a15ef068820eca34877886e35ea7b1e5c"},"schema_version":"1.0"},"canonical_sha256":"832c4adb3775a8764f6da7479b3040eaa26ea39553d49982aa5fbdbc7d3fce3b","source":{"kind":"arxiv","id":"1002.2772","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.2772","created_at":"2026-05-18T02:09:08Z"},{"alias_kind":"arxiv_version","alias_value":"1002.2772v4","created_at":"2026-05-18T02:09:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.2772","created_at":"2026-05-18T02:09:08Z"},{"alias_kind":"pith_short_12","alias_value":"QMWEVWZXOWUH","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"QMWEVWZXOWUHMT3N","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"QMWEVWZX","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:QMWEVWZXOWUHMT3NU5DZWMCA5K","target":"record","payload":{"canonical_record":{"source":{"id":"1002.2772","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-02-15T19:15:03Z","cross_cats_sorted":["cond-mat.other","quant-ph"],"title_canon_sha256":"ed54813ea736af2b7c612e1ffae153326a55f9796a1d6973fe3713be8239f51d","abstract_canon_sha256":"609fd4d0f257cc6fd71e40cb685de62a15ef068820eca34877886e35ea7b1e5c"},"schema_version":"1.0"},"canonical_sha256":"832c4adb3775a8764f6da7479b3040eaa26ea39553d49982aa5fbdbc7d3fce3b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:09:08.455334Z","signature_b64":"B/Q7AOM6F1syv8GwAPw9lPku2Tk7TvF6EWyeEF4/LHpFtKhUwXDC10PKrF3xUdzLbslYv7FHmOwMjg2ixSpnAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"832c4adb3775a8764f6da7479b3040eaa26ea39553d49982aa5fbdbc7d3fce3b","last_reissued_at":"2026-05-18T02:09:08.454750Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:09:08.454750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.2772","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:09:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jaPzVo0ihtU6sGdc+dp2vsgOMejXk0cvYZJArZwuLoUJmqwpUgYbQmKCnYxIrhPSwByCCHGOQj2gvhgVNsWxBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:53:03.805612Z"},"content_sha256":"9470a450aaf28e78effb0288f5a78576e4673b5ff1ca1634c5138f23773a312f","schema_version":"1.0","event_id":"sha256:9470a450aaf28e78effb0288f5a78576e4673b5ff1ca1634c5138f23773a312f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:QMWEVWZXOWUHMT3NU5DZWMCA5K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Field-induced dynamics in the quantum Brownian oscillator: An exact treatment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Ilki Kim","submitted_at":"2010-02-15T19:15:03Z","abstract_excerpt":"We consider a quantum linear oscillator coupled to a bath in equilibrium at an arbitrary temperature and then exposed to an external field arbitrary in form and strength. We then derive the reduced density operator in closed form of the coupled oscillator in a non-equilibrium state at an arbitrary time."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.2772","kind":"arxiv","version":4},"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":"2026-05-18T02:09:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7q1Fr+5VkJf/kLxiV7f+4rVJBm/6E+etTep5cXJXqznB2um180LjX9QfDVwC6dKgdBSAJ8+ZgIKlkf/bk9puAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:53:03.805959Z"},"content_sha256":"7f9d6a95a6e32dc13dc2afa54e197bbac36364249843c03c315475362395fde0","schema_version":"1.0","event_id":"sha256:7f9d6a95a6e32dc13dc2afa54e197bbac36364249843c03c315475362395fde0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QMWEVWZXOWUHMT3NU5DZWMCA5K/bundle.json","state_url":"https://pith.science/pith/QMWEVWZXOWUHMT3NU5DZWMCA5K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QMWEVWZXOWUHMT3NU5DZWMCA5K/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":"2026-06-02T15:53:03Z","links":{"resolver":"https://pith.science/pith/QMWEVWZXOWUHMT3NU5DZWMCA5K","bundle":"https://pith.science/pith/QMWEVWZXOWUHMT3NU5DZWMCA5K/bundle.json","state":"https://pith.science/pith/QMWEVWZXOWUHMT3NU5DZWMCA5K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QMWEVWZXOWUHMT3NU5DZWMCA5K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QMWEVWZXOWUHMT3NU5DZWMCA5K","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":"609fd4d0f257cc6fd71e40cb685de62a15ef068820eca34877886e35ea7b1e5c","cross_cats_sorted":["cond-mat.other","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-02-15T19:15:03Z","title_canon_sha256":"ed54813ea736af2b7c612e1ffae153326a55f9796a1d6973fe3713be8239f51d"},"schema_version":"1.0","source":{"id":"1002.2772","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.2772","created_at":"2026-05-18T02:09:08Z"},{"alias_kind":"arxiv_version","alias_value":"1002.2772v4","created_at":"2026-05-18T02:09:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.2772","created_at":"2026-05-18T02:09:08Z"},{"alias_kind":"pith_short_12","alias_value":"QMWEVWZXOWUH","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"QMWEVWZXOWUHMT3N","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"QMWEVWZX","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:7f9d6a95a6e32dc13dc2afa54e197bbac36364249843c03c315475362395fde0","target":"graph","created_at":"2026-05-18T02:09:08Z","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 consider a quantum linear oscillator coupled to a bath in equilibrium at an arbitrary temperature and then exposed to an external field arbitrary in form and strength. We then derive the reduced density operator in closed form of the coupled oscillator in a non-equilibrium state at an arbitrary time.","authors_text":"Ilki Kim","cross_cats":["cond-mat.other","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-02-15T19:15:03Z","title":"Field-induced dynamics in the quantum Brownian oscillator: An exact treatment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.2772","kind":"arxiv","version":4},"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":"sha256:9470a450aaf28e78effb0288f5a78576e4673b5ff1ca1634c5138f23773a312f","target":"record","created_at":"2026-05-18T02:09:08Z","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":"609fd4d0f257cc6fd71e40cb685de62a15ef068820eca34877886e35ea7b1e5c","cross_cats_sorted":["cond-mat.other","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-02-15T19:15:03Z","title_canon_sha256":"ed54813ea736af2b7c612e1ffae153326a55f9796a1d6973fe3713be8239f51d"},"schema_version":"1.0","source":{"id":"1002.2772","kind":"arxiv","version":4}},"canonical_sha256":"832c4adb3775a8764f6da7479b3040eaa26ea39553d49982aa5fbdbc7d3fce3b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"832c4adb3775a8764f6da7479b3040eaa26ea39553d49982aa5fbdbc7d3fce3b","first_computed_at":"2026-05-18T02:09:08.454750Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:09:08.454750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B/Q7AOM6F1syv8GwAPw9lPku2Tk7TvF6EWyeEF4/LHpFtKhUwXDC10PKrF3xUdzLbslYv7FHmOwMjg2ixSpnAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:09:08.455334Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.2772","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9470a450aaf28e78effb0288f5a78576e4673b5ff1ca1634c5138f23773a312f","sha256:7f9d6a95a6e32dc13dc2afa54e197bbac36364249843c03c315475362395fde0"],"state_sha256":"e21a53c9f353bf2bcb48c535e452447c7e6b3fd3755df9182abb30363188bb41"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iX2WYUoewYcE1vsMyPlTXYrwMpf0qo9jbBoaZrrlCiUvWJuYBh2c7E3KkAZpdhS92Tpt8yLSGhcvFlP1xAfRCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T15:53:03.807900Z","bundle_sha256":"a468359f0b61bfc1ce79ddc5ec6d875a53cd845e7fb031d0546e82671f77bcab"}}