{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:M45A7JVXRVXP3TGKNXQRMHQRRD","short_pith_number":"pith:M45A7JVX","canonical_record":{"source":{"id":"1410.8448","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-10-30T17:09:18Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"25f6e7526ca440f6cc82095cc96d6d4c7f970c047ba021d5715a670f6c6d2d12","abstract_canon_sha256":"c5c7ccdbefc6162f8667b60150b93f899977845304d6a5a148311f679f573beb"},"schema_version":"1.0"},"canonical_sha256":"673a0fa6b78d6efdccca6de1161e1188e203c41534d0337b9d4adbfbed4f0949","source":{"kind":"arxiv","id":"1410.8448","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.8448","created_at":"2026-05-18T02:18:40Z"},{"alias_kind":"arxiv_version","alias_value":"1410.8448v2","created_at":"2026-05-18T02:18:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.8448","created_at":"2026-05-18T02:18:40Z"},{"alias_kind":"pith_short_12","alias_value":"M45A7JVXRVXP","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"M45A7JVXRVXP3TGK","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"M45A7JVX","created_at":"2026-05-18T12:28:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:M45A7JVXRVXP3TGKNXQRMHQRRD","target":"record","payload":{"canonical_record":{"source":{"id":"1410.8448","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-10-30T17:09:18Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"25f6e7526ca440f6cc82095cc96d6d4c7f970c047ba021d5715a670f6c6d2d12","abstract_canon_sha256":"c5c7ccdbefc6162f8667b60150b93f899977845304d6a5a148311f679f573beb"},"schema_version":"1.0"},"canonical_sha256":"673a0fa6b78d6efdccca6de1161e1188e203c41534d0337b9d4adbfbed4f0949","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:40.745063Z","signature_b64":"84x98QReDZjzIvqLQyQ5gRNctu6/b5mKSp1esHWmuSJdR3AO8UeK4Iq1n9onZy7yfGg5R495hutf7T5XkpWlAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"673a0fa6b78d6efdccca6de1161e1188e203c41534d0337b9d4adbfbed4f0949","last_reissued_at":"2026-05-18T02:18:40.744422Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:40.744422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.8448","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:18:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hJCYGRGS/17rU1zy/MqQxPMsJZlkWL0PKC/zYuxtw8ySZFM463Ox4CVl3sGIRyiMhIszaIhlADwhRvp4Fpa5Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T10:45:08.891292Z"},"content_sha256":"52be0d20fc39acd4450bedce834cc3fba057ae5a689242da86e516acce92b0c3","schema_version":"1.0","event_id":"sha256:52be0d20fc39acd4450bedce834cc3fba057ae5a689242da86e516acce92b0c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:M45A7JVXRVXP3TGKNXQRMHQRRD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Brownian Motion with Inhomogeneous Damping and Diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Aniello Lampo, Jan Wehr, Maciej Lewenstein, Pietro Massignan","submitted_at":"2014-10-30T17:09:18Z","abstract_excerpt":"We analyze the microscopic model of quantum Brownian motion, describing a Brownian particle interacting with a bosonic bath through a coupling which is linear in the creation and annihilation operators of the bath, but may be a nonlinear function of the position of the particle. Physically, this corresponds to a configuration in which damping and diffusion are spatially inhomogeneous. We derive systematically the quantum master equation for the Brownian particle in the Born-Markov approximation and we discuss the appearance of novel terms, for various polynomials forms of the coupling. We disc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.8448","kind":"arxiv","version":2},"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":"2026-05-18T02:18:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MHN+P0GMlyHmpXAH+Zr4nIar6feEYlSr494kKMqucyXJpyzBvsuxHwfxE9SCpPOoOepIVjExRd6yHZ+fTBiLDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T10:45:08.892142Z"},"content_sha256":"8359204deffeb3522de2066c8bbf0a35cce523cf975d97948efde16bd9f17efd","schema_version":"1.0","event_id":"sha256:8359204deffeb3522de2066c8bbf0a35cce523cf975d97948efde16bd9f17efd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M45A7JVXRVXP3TGKNXQRMHQRRD/bundle.json","state_url":"https://pith.science/pith/M45A7JVXRVXP3TGKNXQRMHQRRD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M45A7JVXRVXP3TGKNXQRMHQRRD/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":"2026-06-10T10:45:08Z","links":{"resolver":"https://pith.science/pith/M45A7JVXRVXP3TGKNXQRMHQRRD","bundle":"https://pith.science/pith/M45A7JVXRVXP3TGKNXQRMHQRRD/bundle.json","state":"https://pith.science/pith/M45A7JVXRVXP3TGKNXQRMHQRRD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M45A7JVXRVXP3TGKNXQRMHQRRD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:M45A7JVXRVXP3TGKNXQRMHQRRD","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":"c5c7ccdbefc6162f8667b60150b93f899977845304d6a5a148311f679f573beb","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-10-30T17:09:18Z","title_canon_sha256":"25f6e7526ca440f6cc82095cc96d6d4c7f970c047ba021d5715a670f6c6d2d12"},"schema_version":"1.0","source":{"id":"1410.8448","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.8448","created_at":"2026-05-18T02:18:40Z"},{"alias_kind":"arxiv_version","alias_value":"1410.8448v2","created_at":"2026-05-18T02:18:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.8448","created_at":"2026-05-18T02:18:40Z"},{"alias_kind":"pith_short_12","alias_value":"M45A7JVXRVXP","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"M45A7JVXRVXP3TGK","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"M45A7JVX","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:8359204deffeb3522de2066c8bbf0a35cce523cf975d97948efde16bd9f17efd","target":"graph","created_at":"2026-05-18T02:18:40Z","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 analyze the microscopic model of quantum Brownian motion, describing a Brownian particle interacting with a bosonic bath through a coupling which is linear in the creation and annihilation operators of the bath, but may be a nonlinear function of the position of the particle. Physically, this corresponds to a configuration in which damping and diffusion are spatially inhomogeneous. We derive systematically the quantum master equation for the Brownian particle in the Born-Markov approximation and we discuss the appearance of novel terms, for various polynomials forms of the coupling. We disc","authors_text":"Aniello Lampo, Jan Wehr, Maciej Lewenstein, Pietro Massignan","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-10-30T17:09:18Z","title":"Quantum Brownian Motion with Inhomogeneous Damping and Diffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.8448","kind":"arxiv","version":2},"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":"sha256:52be0d20fc39acd4450bedce834cc3fba057ae5a689242da86e516acce92b0c3","target":"record","created_at":"2026-05-18T02:18:40Z","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":"c5c7ccdbefc6162f8667b60150b93f899977845304d6a5a148311f679f573beb","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-10-30T17:09:18Z","title_canon_sha256":"25f6e7526ca440f6cc82095cc96d6d4c7f970c047ba021d5715a670f6c6d2d12"},"schema_version":"1.0","source":{"id":"1410.8448","kind":"arxiv","version":2}},"canonical_sha256":"673a0fa6b78d6efdccca6de1161e1188e203c41534d0337b9d4adbfbed4f0949","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"673a0fa6b78d6efdccca6de1161e1188e203c41534d0337b9d4adbfbed4f0949","first_computed_at":"2026-05-18T02:18:40.744422Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:40.744422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"84x98QReDZjzIvqLQyQ5gRNctu6/b5mKSp1esHWmuSJdR3AO8UeK4Iq1n9onZy7yfGg5R495hutf7T5XkpWlAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:40.745063Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.8448","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52be0d20fc39acd4450bedce834cc3fba057ae5a689242da86e516acce92b0c3","sha256:8359204deffeb3522de2066c8bbf0a35cce523cf975d97948efde16bd9f17efd"],"state_sha256":"b7f6b7838adc6f7015197ffac45abba098b3efbca6b6445f7502f87b5baa246c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tCIJXay73FLbrX2US8cIbs9eenJyJ25MAUPZRRLKTauZ8zCW/fyybSPgk7GaG7AJBdkJDcGvnU3v19t0O3g0Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T10:45:08.897138Z","bundle_sha256":"51101daf96b0c6c263db66911cd6dd707caf4a58c8b626fa0055c33270b838cc"}}