{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:BIO6D2GKNSTMRIEQW3GQQZ5RVL","short_pith_number":"pith:BIO6D2GK","canonical_record":{"source":{"id":"1108.5955","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-08-30T13:18:49Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"e6978aa657d1dbda9b9f57176becc38bbe9c6c388a7470bc1ebb9f67df022e9d","abstract_canon_sha256":"ebea973f7280e61436b45b8dbd3b79d49a7ed2715110b232eef854b9cdc1872c"},"schema_version":"1.0"},"canonical_sha256":"0a1de1e8ca6ca6c8a090b6cd0867b1aafcd59026124cc2c83013f12882523081","source":{"kind":"arxiv","id":"1108.5955","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.5955","created_at":"2026-05-18T04:14:28Z"},{"alias_kind":"arxiv_version","alias_value":"1108.5955v1","created_at":"2026-05-18T04:14:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5955","created_at":"2026-05-18T04:14:28Z"},{"alias_kind":"pith_short_12","alias_value":"BIO6D2GKNSTM","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BIO6D2GKNSTMRIEQ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BIO6D2GK","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:BIO6D2GKNSTMRIEQW3GQQZ5RVL","target":"record","payload":{"canonical_record":{"source":{"id":"1108.5955","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-08-30T13:18:49Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"e6978aa657d1dbda9b9f57176becc38bbe9c6c388a7470bc1ebb9f67df022e9d","abstract_canon_sha256":"ebea973f7280e61436b45b8dbd3b79d49a7ed2715110b232eef854b9cdc1872c"},"schema_version":"1.0"},"canonical_sha256":"0a1de1e8ca6ca6c8a090b6cd0867b1aafcd59026124cc2c83013f12882523081","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:28.157472Z","signature_b64":"ZZcn3Dr+OgZji9bn3TcxhAo7MEwMeEXRQ3gXIhV912IIg+tNhhJ0DZck1Pb9vlO2eBYgXwWZ+hrtbU+VJ0RjDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a1de1e8ca6ca6c8a090b6cd0867b1aafcd59026124cc2c83013f12882523081","last_reissued_at":"2026-05-18T04:14:28.156803Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:28.156803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.5955","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":"2026-05-18T04:14:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xDUd+iFq2E1PVbwa5KZabA2ReEtEvoBlkcnGFPvRKizpoViGCEYJa4RgvvYs4eMrILkeObrNvfhBjdAvECVbAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T05:31:10.106146Z"},"content_sha256":"501f557de14dc5b2eb6838ee26bde8fd362f1e3f9f15017bdc2fa1f5ffbc6e00","schema_version":"1.0","event_id":"sha256:501f557de14dc5b2eb6838ee26bde8fd362f1e3f9f15017bdc2fa1f5ffbc6e00"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:BIO6D2GKNSTMRIEQW3GQQZ5RVL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linear response theory for quantum open systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.mes-hall","authors_text":"J. H. Wei, YiJing Yan","submitted_at":"2011-08-30T13:18:49Z","abstract_excerpt":"Basing on the theory of Feynman's influence functional and its hierarchical equations of motion, we develop a linear response theory for quantum open systems. Our theory provides an effective way to calculate dynamical observables of a quantum open system at its steady-state, which can be applied to various fields of non-equilibrium condensed matter physics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5955","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":"2026-05-18T04:14:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A4fd63EB70qNKO/nNcJDGw6Bv+zsoYstdxHJhuF/MghOZTe7KQ42PZbNBnc1HWHaa3ZXAjkHk+sXegK9qL7xDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T05:31:10.106877Z"},"content_sha256":"caba2dea57ad9c3da30f277254bbf894b10d7f193c8ca40f2c96a45e3898ef6f","schema_version":"1.0","event_id":"sha256:caba2dea57ad9c3da30f277254bbf894b10d7f193c8ca40f2c96a45e3898ef6f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BIO6D2GKNSTMRIEQW3GQQZ5RVL/bundle.json","state_url":"https://pith.science/pith/BIO6D2GKNSTMRIEQW3GQQZ5RVL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BIO6D2GKNSTMRIEQW3GQQZ5RVL/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":"2026-06-11T05:31:10Z","links":{"resolver":"https://pith.science/pith/BIO6D2GKNSTMRIEQW3GQQZ5RVL","bundle":"https://pith.science/pith/BIO6D2GKNSTMRIEQW3GQQZ5RVL/bundle.json","state":"https://pith.science/pith/BIO6D2GKNSTMRIEQW3GQQZ5RVL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BIO6D2GKNSTMRIEQW3GQQZ5RVL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BIO6D2GKNSTMRIEQW3GQQZ5RVL","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":"ebea973f7280e61436b45b8dbd3b79d49a7ed2715110b232eef854b9cdc1872c","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-08-30T13:18:49Z","title_canon_sha256":"e6978aa657d1dbda9b9f57176becc38bbe9c6c388a7470bc1ebb9f67df022e9d"},"schema_version":"1.0","source":{"id":"1108.5955","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.5955","created_at":"2026-05-18T04:14:28Z"},{"alias_kind":"arxiv_version","alias_value":"1108.5955v1","created_at":"2026-05-18T04:14:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5955","created_at":"2026-05-18T04:14:28Z"},{"alias_kind":"pith_short_12","alias_value":"BIO6D2GKNSTM","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BIO6D2GKNSTMRIEQ","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BIO6D2GK","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:caba2dea57ad9c3da30f277254bbf894b10d7f193c8ca40f2c96a45e3898ef6f","target":"graph","created_at":"2026-05-18T04:14:28Z","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":"Basing on the theory of Feynman's influence functional and its hierarchical equations of motion, we develop a linear response theory for quantum open systems. Our theory provides an effective way to calculate dynamical observables of a quantum open system at its steady-state, which can be applied to various fields of non-equilibrium condensed matter physics.","authors_text":"J. H. Wei, YiJing Yan","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-08-30T13:18:49Z","title":"Linear response theory for quantum open systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5955","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":"sha256:501f557de14dc5b2eb6838ee26bde8fd362f1e3f9f15017bdc2fa1f5ffbc6e00","target":"record","created_at":"2026-05-18T04:14:28Z","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":"ebea973f7280e61436b45b8dbd3b79d49a7ed2715110b232eef854b9cdc1872c","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-08-30T13:18:49Z","title_canon_sha256":"e6978aa657d1dbda9b9f57176becc38bbe9c6c388a7470bc1ebb9f67df022e9d"},"schema_version":"1.0","source":{"id":"1108.5955","kind":"arxiv","version":1}},"canonical_sha256":"0a1de1e8ca6ca6c8a090b6cd0867b1aafcd59026124cc2c83013f12882523081","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a1de1e8ca6ca6c8a090b6cd0867b1aafcd59026124cc2c83013f12882523081","first_computed_at":"2026-05-18T04:14:28.156803Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:28.156803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZZcn3Dr+OgZji9bn3TcxhAo7MEwMeEXRQ3gXIhV912IIg+tNhhJ0DZck1Pb9vlO2eBYgXwWZ+hrtbU+VJ0RjDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:28.157472Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.5955","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:501f557de14dc5b2eb6838ee26bde8fd362f1e3f9f15017bdc2fa1f5ffbc6e00","sha256:caba2dea57ad9c3da30f277254bbf894b10d7f193c8ca40f2c96a45e3898ef6f"],"state_sha256":"96bf5be3d97cd9b2ca75de2aec2ee75f4a3a6965fbb159d55a300ee63a64dd3f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yhfsavdhUZn+ofjgM92F1kPRSxP+u2xys2Y+5mh/yXEnP2SPD8aU95PILbGZ0/5/5KUbHgErOf1W9IrCYfGTDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T05:31:10.111141Z","bundle_sha256":"576e936e2375784a9baf9f418168c9a3444c3abc4b228d1fa4e54d920072db4a"}}