{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:TGHGLT5ACE4AWUVE2SAWYXFOVQ","short_pith_number":"pith:TGHGLT5A","canonical_record":{"source":{"id":"1403.7172","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-27T19:00:46Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"451e0b1b100718c5a0e3945f5e4953c5cbdbd0b12d93f0a0f99cd27218bc1eb2","abstract_canon_sha256":"8496599ea64cb32bfe2afa5001eae059abb01a96094a10cd79dbf00e24270efd"},"schema_version":"1.0"},"canonical_sha256":"998e65cfa011380b52a4d4816c5caeac049276499a5674b5c8013b8624b5ae1e","source":{"kind":"arxiv","id":"1403.7172","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7172","created_at":"2026-05-18T02:54:32Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7172v1","created_at":"2026-05-18T02:54:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7172","created_at":"2026-05-18T02:54:32Z"},{"alias_kind":"pith_short_12","alias_value":"TGHGLT5ACE4A","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TGHGLT5ACE4AWUVE","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TGHGLT5A","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:TGHGLT5ACE4AWUVE2SAWYXFOVQ","target":"record","payload":{"canonical_record":{"source":{"id":"1403.7172","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-27T19:00:46Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"451e0b1b100718c5a0e3945f5e4953c5cbdbd0b12d93f0a0f99cd27218bc1eb2","abstract_canon_sha256":"8496599ea64cb32bfe2afa5001eae059abb01a96094a10cd79dbf00e24270efd"},"schema_version":"1.0"},"canonical_sha256":"998e65cfa011380b52a4d4816c5caeac049276499a5674b5c8013b8624b5ae1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:32.011779Z","signature_b64":"S0iJ+4dvI/WZNAxPEql4hss+zzKYcQWnJnRRZJksacotuXUaUA+ZQmblbs7n85wBE4eLxNpQEnBUFb2pkxbmAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"998e65cfa011380b52a4d4816c5caeac049276499a5674b5c8013b8624b5ae1e","last_reissued_at":"2026-05-18T02:54:32.011300Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:32.011300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.7172","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":"2026-05-18T02:54:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2rd7tAm5e/xH/sxQjTonIj4uCA8n/Oux6NT3B0C4tt25/a4PCWxil3t7mqZn8j41bW7zKnOrm8gd1zndplfYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T04:20:32.727076Z"},"content_sha256":"f6782d353deb8d4fb0bf51b35bcfc1e7e4ea7c91184748f6058bf38e7f867de6","schema_version":"1.0","event_id":"sha256:f6782d353deb8d4fb0bf51b35bcfc1e7e4ea7c91184748f6058bf38e7f867de6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:TGHGLT5ACE4AWUVE2SAWYXFOVQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Feynman, Wigner, and Hamiltonian Structures Describing the Dynamics of Open Quantum Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"J.E. Gough, O.G. Smolyanov, T.S. Ratiu","submitted_at":"2014-03-27T19:00:46Z","abstract_excerpt":"This paper discusses several methods for describing the dynamics of open quantum systems, where the environment of the open system is infinite-dimensional. These are purifications, phase space forms, master equation and liouville equation forms. The main contribution is in using Feynman-Kac formalisms to describe the infinite-demsional components."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7172","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":"2026-05-18T02:54:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gQGzxXqyB5d3+nnwRYFJBsX1j2w0PjLWHsjiyLLeNueLXOD7++7f+jcixt/AIaghwNHrs/aAAdsotMMyzfGZCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T04:20:32.727430Z"},"content_sha256":"89e92b563870e6c12e484182c1399b2e39f023c62a9c82864b6aded74f102db0","schema_version":"1.0","event_id":"sha256:89e92b563870e6c12e484182c1399b2e39f023c62a9c82864b6aded74f102db0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TGHGLT5ACE4AWUVE2SAWYXFOVQ/bundle.json","state_url":"https://pith.science/pith/TGHGLT5ACE4AWUVE2SAWYXFOVQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TGHGLT5ACE4AWUVE2SAWYXFOVQ/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":"2026-06-07T04:20:32Z","links":{"resolver":"https://pith.science/pith/TGHGLT5ACE4AWUVE2SAWYXFOVQ","bundle":"https://pith.science/pith/TGHGLT5ACE4AWUVE2SAWYXFOVQ/bundle.json","state":"https://pith.science/pith/TGHGLT5ACE4AWUVE2SAWYXFOVQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TGHGLT5ACE4AWUVE2SAWYXFOVQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TGHGLT5ACE4AWUVE2SAWYXFOVQ","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":"8496599ea64cb32bfe2afa5001eae059abb01a96094a10cd79dbf00e24270efd","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-27T19:00:46Z","title_canon_sha256":"451e0b1b100718c5a0e3945f5e4953c5cbdbd0b12d93f0a0f99cd27218bc1eb2"},"schema_version":"1.0","source":{"id":"1403.7172","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7172","created_at":"2026-05-18T02:54:32Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7172v1","created_at":"2026-05-18T02:54:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7172","created_at":"2026-05-18T02:54:32Z"},{"alias_kind":"pith_short_12","alias_value":"TGHGLT5ACE4A","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TGHGLT5ACE4AWUVE","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TGHGLT5A","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:89e92b563870e6c12e484182c1399b2e39f023c62a9c82864b6aded74f102db0","target":"graph","created_at":"2026-05-18T02:54:32Z","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":"This paper discusses several methods for describing the dynamics of open quantum systems, where the environment of the open system is infinite-dimensional. These are purifications, phase space forms, master equation and liouville equation forms. The main contribution is in using Feynman-Kac formalisms to describe the infinite-demsional components.","authors_text":"J.E. Gough, O.G. Smolyanov, T.S. Ratiu","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-27T19:00:46Z","title":"Feynman, Wigner, and Hamiltonian Structures Describing the Dynamics of Open Quantum Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7172","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:f6782d353deb8d4fb0bf51b35bcfc1e7e4ea7c91184748f6058bf38e7f867de6","target":"record","created_at":"2026-05-18T02:54:32Z","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":"8496599ea64cb32bfe2afa5001eae059abb01a96094a10cd79dbf00e24270efd","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-27T19:00:46Z","title_canon_sha256":"451e0b1b100718c5a0e3945f5e4953c5cbdbd0b12d93f0a0f99cd27218bc1eb2"},"schema_version":"1.0","source":{"id":"1403.7172","kind":"arxiv","version":1}},"canonical_sha256":"998e65cfa011380b52a4d4816c5caeac049276499a5674b5c8013b8624b5ae1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"998e65cfa011380b52a4d4816c5caeac049276499a5674b5c8013b8624b5ae1e","first_computed_at":"2026-05-18T02:54:32.011300Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:32.011300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S0iJ+4dvI/WZNAxPEql4hss+zzKYcQWnJnRRZJksacotuXUaUA+ZQmblbs7n85wBE4eLxNpQEnBUFb2pkxbmAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:32.011779Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7172","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6782d353deb8d4fb0bf51b35bcfc1e7e4ea7c91184748f6058bf38e7f867de6","sha256:89e92b563870e6c12e484182c1399b2e39f023c62a9c82864b6aded74f102db0"],"state_sha256":"487c53e57932bceb7135a2cd62e9f2716f441a69cc0433539597c1a7eefe4eb3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ed/xmjeLnK0o8BjLfN4i7m5E0x/OF+upCUCcIfDUwY0fhIkrpfJgVV8tEGJnWFaPmunjt6AUbMCB7R7DQRa1AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T04:20:32.729703Z","bundle_sha256":"5cf7e610396d28ff719713d156013219c1285be4f11ee36723a9307d274d6801"}}