{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QYLI7AOXVT774GPAEFZGENTOCE","short_pith_number":"pith:QYLI7AOX","canonical_record":{"source":{"id":"1802.00010","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-01-31T19:00:01Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"253a7a1398b2f5da248fe12646d57c9463057871e94e981ef6948236fcf51e68","abstract_canon_sha256":"999e2941489801cbfabac28e57719aa2226d23b65075c2a25e983cd17715d53b"},"schema_version":"1.0"},"canonical_sha256":"86168f81d7acfffe19e0217262366e112326e60ff3edd4b6d5ccc26472ac18a7","source":{"kind":"arxiv","id":"1802.00010","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.00010","created_at":"2026-05-18T00:24:33Z"},{"alias_kind":"arxiv_version","alias_value":"1802.00010v1","created_at":"2026-05-18T00:24:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.00010","created_at":"2026-05-18T00:24:33Z"},{"alias_kind":"pith_short_12","alias_value":"QYLI7AOXVT77","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"QYLI7AOXVT774GPA","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"QYLI7AOX","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QYLI7AOXVT774GPAEFZGENTOCE","target":"record","payload":{"canonical_record":{"source":{"id":"1802.00010","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-01-31T19:00:01Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"253a7a1398b2f5da248fe12646d57c9463057871e94e981ef6948236fcf51e68","abstract_canon_sha256":"999e2941489801cbfabac28e57719aa2226d23b65075c2a25e983cd17715d53b"},"schema_version":"1.0"},"canonical_sha256":"86168f81d7acfffe19e0217262366e112326e60ff3edd4b6d5ccc26472ac18a7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:33.164153Z","signature_b64":"X/9nL8zYhbU7Nc+jYsZUc/UwNRyJ1moWH27CCEr2qx8PhCR9bn59ALrDuaAGSANSpSawrzfaVfyP7j1neY/DBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86168f81d7acfffe19e0217262366e112326e60ff3edd4b6d5ccc26472ac18a7","last_reissued_at":"2026-05-18T00:24:33.163505Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:33.163505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.00010","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":"2026-05-18T00:24:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UjgdTE45O5ojQ0PkxlvGO1fOoVZYdvcM/XPreoK2bXSv48PEsMArUuE6p30b9cQrq+blZjrsNvCSn+reEdjECw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T10:36:37.260913Z"},"content_sha256":"5ba0de29fd059474e6daef9fd4b43ddec1c8a2badca7556932ddbfdd4114af58","schema_version":"1.0","event_id":"sha256:5ba0de29fd059474e6daef9fd4b43ddec1c8a2badca7556932ddbfdd4114af58"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QYLI7AOXVT774GPAEFZGENTOCE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lindbladians with multiple steady states: theory and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Victor V. Albert","submitted_at":"2018-01-31T19:00:01Z","abstract_excerpt":"Markovian master equations, often called Liouvillians or Lindbladians, are used to describe decay and decoherence of a quantum system induced by that system's environment. While a natural environment is detrimental to fragile quantum properties, an engineered environment can drive the system toward exotic phases of matter or toward subspaces protected from noise. These cases often require the Lindbladian to have more than one steady state, and such Lindbladians are dissipative analogues of Hamiltonians with multiple ground states. This thesis studies Lindbladian extensions of topics commonplac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.00010","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":"2026-05-18T00:24:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PVsDQ7N387xgxR1RFI1rrK3zXwVYAKu/A+CzyArdO8UWBlHTEz2kZe0y2rekeHPFgLnTRG8A3/QOXcynZgUgDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T10:36:37.261621Z"},"content_sha256":"a872b0c3de4e3c324321b1f33ddc1c2e8b1010afae2275864e37c64d396cf79b","schema_version":"1.0","event_id":"sha256:a872b0c3de4e3c324321b1f33ddc1c2e8b1010afae2275864e37c64d396cf79b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QYLI7AOXVT774GPAEFZGENTOCE/bundle.json","state_url":"https://pith.science/pith/QYLI7AOXVT774GPAEFZGENTOCE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QYLI7AOXVT774GPAEFZGENTOCE/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":"2026-08-20T10:36:37Z","links":{"resolver":"https://pith.science/pith/QYLI7AOXVT774GPAEFZGENTOCE","bundle":"https://pith.science/pith/QYLI7AOXVT774GPAEFZGENTOCE/bundle.json","state":"https://pith.science/pith/QYLI7AOXVT774GPAEFZGENTOCE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QYLI7AOXVT774GPAEFZGENTOCE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QYLI7AOXVT774GPAEFZGENTOCE","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":"999e2941489801cbfabac28e57719aa2226d23b65075c2a25e983cd17715d53b","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-01-31T19:00:01Z","title_canon_sha256":"253a7a1398b2f5da248fe12646d57c9463057871e94e981ef6948236fcf51e68"},"schema_version":"1.0","source":{"id":"1802.00010","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.00010","created_at":"2026-05-18T00:24:33Z"},{"alias_kind":"arxiv_version","alias_value":"1802.00010v1","created_at":"2026-05-18T00:24:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.00010","created_at":"2026-05-18T00:24:33Z"},{"alias_kind":"pith_short_12","alias_value":"QYLI7AOXVT77","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"QYLI7AOXVT774GPA","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"QYLI7AOX","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:a872b0c3de4e3c324321b1f33ddc1c2e8b1010afae2275864e37c64d396cf79b","target":"graph","created_at":"2026-05-18T00:24:33Z","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":"Markovian master equations, often called Liouvillians or Lindbladians, are used to describe decay and decoherence of a quantum system induced by that system's environment. While a natural environment is detrimental to fragile quantum properties, an engineered environment can drive the system toward exotic phases of matter or toward subspaces protected from noise. These cases often require the Lindbladian to have more than one steady state, and such Lindbladians are dissipative analogues of Hamiltonians with multiple ground states. This thesis studies Lindbladian extensions of topics commonplac","authors_text":"Victor V. Albert","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-01-31T19:00:01Z","title":"Lindbladians with multiple steady states: theory and applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.00010","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":"sha256:5ba0de29fd059474e6daef9fd4b43ddec1c8a2badca7556932ddbfdd4114af58","target":"record","created_at":"2026-05-18T00:24:33Z","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":"999e2941489801cbfabac28e57719aa2226d23b65075c2a25e983cd17715d53b","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-01-31T19:00:01Z","title_canon_sha256":"253a7a1398b2f5da248fe12646d57c9463057871e94e981ef6948236fcf51e68"},"schema_version":"1.0","source":{"id":"1802.00010","kind":"arxiv","version":1}},"canonical_sha256":"86168f81d7acfffe19e0217262366e112326e60ff3edd4b6d5ccc26472ac18a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86168f81d7acfffe19e0217262366e112326e60ff3edd4b6d5ccc26472ac18a7","first_computed_at":"2026-05-18T00:24:33.163505Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:33.163505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X/9nL8zYhbU7Nc+jYsZUc/UwNRyJ1moWH27CCEr2qx8PhCR9bn59ALrDuaAGSANSpSawrzfaVfyP7j1neY/DBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:33.164153Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.00010","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ba0de29fd059474e6daef9fd4b43ddec1c8a2badca7556932ddbfdd4114af58","sha256:a872b0c3de4e3c324321b1f33ddc1c2e8b1010afae2275864e37c64d396cf79b"],"state_sha256":"2864f70b74b0a84cc76a990b3a2c0eb7eab4ee5072dc25877c9cec7cdb876f5e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qz23sD9EUwtoAtZ3mBm+Bq+LU6Ui7tJYIwBEBOCLJNnl0ajwGORVsx6ocO+NPJjlsv6sO75BMyJ44zUvBzNKBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T10:36:37.268548Z","bundle_sha256":"bf9a2fa7adafab77a5ea6903c577c410a85c1d8c38544b3ee30d1c95f27318ba"}}