{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:PSWMK2UDN3I62XF3KPK7RGUTW3","short_pith_number":"pith:PSWMK2UD","canonical_record":{"source":{"id":"1402.4647","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-02-19T12:45:15Z","cross_cats_sorted":[],"title_canon_sha256":"fe64da7b065de4fecaeeb69beae3956d832357c864ee7f21439120f26b19471c","abstract_canon_sha256":"77c9f61e018a100e0426acc8f9f57c8772c259b3e38b7a6306a2bf5212d4e46d"},"schema_version":"1.0"},"canonical_sha256":"7cacc56a836ed1ed5cbb53d5f89a93b6d029ee96330bf20a57b09b546e715f62","source":{"kind":"arxiv","id":"1402.4647","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4647","created_at":"2026-05-18T01:44:36Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4647v1","created_at":"2026-05-18T01:44:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4647","created_at":"2026-05-18T01:44:36Z"},{"alias_kind":"pith_short_12","alias_value":"PSWMK2UDN3I6","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PSWMK2UDN3I62XF3","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PSWMK2UD","created_at":"2026-05-18T12:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:PSWMK2UDN3I62XF3KPK7RGUTW3","target":"record","payload":{"canonical_record":{"source":{"id":"1402.4647","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-02-19T12:45:15Z","cross_cats_sorted":[],"title_canon_sha256":"fe64da7b065de4fecaeeb69beae3956d832357c864ee7f21439120f26b19471c","abstract_canon_sha256":"77c9f61e018a100e0426acc8f9f57c8772c259b3e38b7a6306a2bf5212d4e46d"},"schema_version":"1.0"},"canonical_sha256":"7cacc56a836ed1ed5cbb53d5f89a93b6d029ee96330bf20a57b09b546e715f62","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:36.393250Z","signature_b64":"kizFOJEGWIbjt2nMATGrBaV0VbF+gsBg/DHVNtdbKqd8DFJiokkJZzSWcU4WmE67EJaIS5WVl6bBNFgfAnxqDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7cacc56a836ed1ed5cbb53d5f89a93b6d029ee96330bf20a57b09b546e715f62","last_reissued_at":"2026-05-18T01:44:36.392725Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:36.392725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.4647","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":"2026-05-18T01:44:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gDOy8gh1dUmuPo3h/Atg8tvperymeCrfq2zfKurjDmLzg7jp2hEpCygeq9B6XlVwExs4ZiCc/l4BoClUHAa2Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:10:43.082408Z"},"content_sha256":"8883912fef9df7575d09babf1d9715792df62c080718e4ab35dbe18456070120","schema_version":"1.0","event_id":"sha256:8883912fef9df7575d09babf1d9715792df62c080718e4ab35dbe18456070120"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:PSWMK2UDN3I62XF3KPK7RGUTW3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hierarchy of stochastic pure states for open quantum system dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A. Eisfeld, D. S\\\"u\\ss, W. T. Strunz","submitted_at":"2014-02-19T12:45:15Z","abstract_excerpt":"We derive a hierarchy of stochastic evolution equations for pure states (quantum trajectories) to efficiently solve open quantum system dynamics with non-Markovian structured environments. From this hierarchy of pure states (HOPS) the exact reduced density operator is obtained as an ensemble average. We demonstrate the power of HOPS by applying it to the Spin-Boson model, the calculation of absorption spectra of molecular aggregates and energy transfer in a photosynthetic pigment-protein complex."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4647","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":"2026-05-18T01:44:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MEf6+uEWWQa30/efwKgdHr3yTsUA+1MzLUtcMHL0YgFYAs9Qc7QJ42Z30LiZcQpUqAUZ4AZIpf/f4GwM8pCeCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:10:43.082950Z"},"content_sha256":"b51bf1a24aa6c03fca3b49aa57fa993d0e3a66202688fd41499898a7075b4761","schema_version":"1.0","event_id":"sha256:b51bf1a24aa6c03fca3b49aa57fa993d0e3a66202688fd41499898a7075b4761"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PSWMK2UDN3I62XF3KPK7RGUTW3/bundle.json","state_url":"https://pith.science/pith/PSWMK2UDN3I62XF3KPK7RGUTW3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PSWMK2UDN3I62XF3KPK7RGUTW3/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":"2026-06-03T08:10:43Z","links":{"resolver":"https://pith.science/pith/PSWMK2UDN3I62XF3KPK7RGUTW3","bundle":"https://pith.science/pith/PSWMK2UDN3I62XF3KPK7RGUTW3/bundle.json","state":"https://pith.science/pith/PSWMK2UDN3I62XF3KPK7RGUTW3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PSWMK2UDN3I62XF3KPK7RGUTW3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:PSWMK2UDN3I62XF3KPK7RGUTW3","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":"77c9f61e018a100e0426acc8f9f57c8772c259b3e38b7a6306a2bf5212d4e46d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-02-19T12:45:15Z","title_canon_sha256":"fe64da7b065de4fecaeeb69beae3956d832357c864ee7f21439120f26b19471c"},"schema_version":"1.0","source":{"id":"1402.4647","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4647","created_at":"2026-05-18T01:44:36Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4647v1","created_at":"2026-05-18T01:44:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4647","created_at":"2026-05-18T01:44:36Z"},{"alias_kind":"pith_short_12","alias_value":"PSWMK2UDN3I6","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PSWMK2UDN3I62XF3","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PSWMK2UD","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:b51bf1a24aa6c03fca3b49aa57fa993d0e3a66202688fd41499898a7075b4761","target":"graph","created_at":"2026-05-18T01:44:36Z","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 derive a hierarchy of stochastic evolution equations for pure states (quantum trajectories) to efficiently solve open quantum system dynamics with non-Markovian structured environments. From this hierarchy of pure states (HOPS) the exact reduced density operator is obtained as an ensemble average. We demonstrate the power of HOPS by applying it to the Spin-Boson model, the calculation of absorption spectra of molecular aggregates and energy transfer in a photosynthetic pigment-protein complex.","authors_text":"A. Eisfeld, D. S\\\"u\\ss, W. T. Strunz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-02-19T12:45:15Z","title":"Hierarchy of stochastic pure states for open quantum system dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4647","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":"sha256:8883912fef9df7575d09babf1d9715792df62c080718e4ab35dbe18456070120","target":"record","created_at":"2026-05-18T01:44:36Z","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":"77c9f61e018a100e0426acc8f9f57c8772c259b3e38b7a6306a2bf5212d4e46d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-02-19T12:45:15Z","title_canon_sha256":"fe64da7b065de4fecaeeb69beae3956d832357c864ee7f21439120f26b19471c"},"schema_version":"1.0","source":{"id":"1402.4647","kind":"arxiv","version":1}},"canonical_sha256":"7cacc56a836ed1ed5cbb53d5f89a93b6d029ee96330bf20a57b09b546e715f62","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7cacc56a836ed1ed5cbb53d5f89a93b6d029ee96330bf20a57b09b546e715f62","first_computed_at":"2026-05-18T01:44:36.392725Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:36.392725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kizFOJEGWIbjt2nMATGrBaV0VbF+gsBg/DHVNtdbKqd8DFJiokkJZzSWcU4WmE67EJaIS5WVl6bBNFgfAnxqDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:36.393250Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.4647","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8883912fef9df7575d09babf1d9715792df62c080718e4ab35dbe18456070120","sha256:b51bf1a24aa6c03fca3b49aa57fa993d0e3a66202688fd41499898a7075b4761"],"state_sha256":"aa4f05b2b5cf9c6fbb6f84e377cbfb2ae958e0e54609dcf0078cecbaaffd961c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ap1wxENRup3ZzHy+EN6QEEH9U3SX+n86Q/pKuL1lfH/9RjcObICLiXLfGrMk867d0GaJdM8yxs8yCz0aUiLHBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T08:10:43.085559Z","bundle_sha256":"286a09aec47420f8baccb8a99a4d0588a0eb48b0011e3d55533e312e47a536f2"}}