{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:QSY4PQXRLNLKFVLBEJQJDWB6YN","short_pith_number":"pith:QSY4PQXR","canonical_record":{"source":{"id":"1504.06127","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-23T11:23:40Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"3db910816b84d82f4d3adc51b3be493c2577ef31e66d24fb73973cd7cb8cb9d7","abstract_canon_sha256":"2ab44f266608e97572c060d3d633340d8973f5a3037549fb63ab1cadd275734f"},"schema_version":"1.0"},"canonical_sha256":"84b1c7c2f15b56a2d561226091d83ec37241f56556695f2e4cba4881b4393205","source":{"kind":"arxiv","id":"1504.06127","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.06127","created_at":"2026-05-18T01:34:49Z"},{"alias_kind":"arxiv_version","alias_value":"1504.06127v2","created_at":"2026-05-18T01:34:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.06127","created_at":"2026-05-18T01:34:49Z"},{"alias_kind":"pith_short_12","alias_value":"QSY4PQXRLNLK","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"QSY4PQXRLNLKFVLB","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"QSY4PQXR","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:QSY4PQXRLNLKFVLBEJQJDWB6YN","target":"record","payload":{"canonical_record":{"source":{"id":"1504.06127","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-23T11:23:40Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"3db910816b84d82f4d3adc51b3be493c2577ef31e66d24fb73973cd7cb8cb9d7","abstract_canon_sha256":"2ab44f266608e97572c060d3d633340d8973f5a3037549fb63ab1cadd275734f"},"schema_version":"1.0"},"canonical_sha256":"84b1c7c2f15b56a2d561226091d83ec37241f56556695f2e4cba4881b4393205","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:49.982955Z","signature_b64":"BABqqEAyzeoK0ZjodPK0zTcw8dncddcPtJXN2IqnrzmcglrEGwzkWpUrGV7+qmbpmj9oWobTBxlSp7RJxTitDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84b1c7c2f15b56a2d561226091d83ec37241f56556695f2e4cba4881b4393205","last_reissued_at":"2026-05-18T01:34:49.982329Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:49.982329Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.06127","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":"2026-05-18T01:34:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K5E+uobWo5Y5uV69fDRGhjrWilinhOlcZ8WLSsHpbHuaIXE2Lq2f8U40Swd/XZITyUTlSeoEdKVldeJLInBVBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T22:55:22.429997Z"},"content_sha256":"180005fe19c1dab33942bbf2d6fe68ee71407a2f4906e46838b65eaa91816a75","schema_version":"1.0","event_id":"sha256:180005fe19c1dab33942bbf2d6fe68ee71407a2f4906e46838b65eaa91816a75"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:QSY4PQXRLNLKFVLBEJQJDWB6YN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Matrix-Product-Operator Approach to the Nonequilibrium Steady State of Driven-Dissipative Quantum Arrays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"quant-ph","authors_text":"Eduardo Mascarenhas, Hugo Flayac, Vincenzo Savona","submitted_at":"2015-04-23T11:23:40Z","abstract_excerpt":"We develop a numerical procedure to efficiently model the nonequilibrium steady state of one-dimensional arrays of open quantum systems, based on a matrix-product operator ansatz for the density matrix. The procedure searches for the null eigenvalue of the Liouvillian superoperator by sweeping along the system while carrying out a partial diagonalization of the single-site stationary problem. It bears full analogy to the density-matrix renormalization group approach to the ground state of isolated systems, and its numerical complexity scales as a power law with the bond dimension. The method b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.06127","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":"2026-05-18T01:34:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hiprb2mQNangDU5E9rNlyUnMhZ479swHbq15r87N7wccIQEly3kjyNjB6JjF/9NGzH8oAItZfuD3FPJQFEjSAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T22:55:22.430799Z"},"content_sha256":"f014fa688b6d159bedf091ece6daa622ad1b90b0fd8e2a2f9c68d8a36085c7ec","schema_version":"1.0","event_id":"sha256:f014fa688b6d159bedf091ece6daa622ad1b90b0fd8e2a2f9c68d8a36085c7ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QSY4PQXRLNLKFVLBEJQJDWB6YN/bundle.json","state_url":"https://pith.science/pith/QSY4PQXRLNLKFVLBEJQJDWB6YN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QSY4PQXRLNLKFVLBEJQJDWB6YN/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":"2026-08-04T22:55:22Z","links":{"resolver":"https://pith.science/pith/QSY4PQXRLNLKFVLBEJQJDWB6YN","bundle":"https://pith.science/pith/QSY4PQXRLNLKFVLBEJQJDWB6YN/bundle.json","state":"https://pith.science/pith/QSY4PQXRLNLKFVLBEJQJDWB6YN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QSY4PQXRLNLKFVLBEJQJDWB6YN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:QSY4PQXRLNLKFVLBEJQJDWB6YN","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":"2ab44f266608e97572c060d3d633340d8973f5a3037549fb63ab1cadd275734f","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-23T11:23:40Z","title_canon_sha256":"3db910816b84d82f4d3adc51b3be493c2577ef31e66d24fb73973cd7cb8cb9d7"},"schema_version":"1.0","source":{"id":"1504.06127","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.06127","created_at":"2026-05-18T01:34:49Z"},{"alias_kind":"arxiv_version","alias_value":"1504.06127v2","created_at":"2026-05-18T01:34:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.06127","created_at":"2026-05-18T01:34:49Z"},{"alias_kind":"pith_short_12","alias_value":"QSY4PQXRLNLK","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"QSY4PQXRLNLKFVLB","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"QSY4PQXR","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:f014fa688b6d159bedf091ece6daa622ad1b90b0fd8e2a2f9c68d8a36085c7ec","target":"graph","created_at":"2026-05-18T01:34:49Z","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 develop a numerical procedure to efficiently model the nonequilibrium steady state of one-dimensional arrays of open quantum systems, based on a matrix-product operator ansatz for the density matrix. The procedure searches for the null eigenvalue of the Liouvillian superoperator by sweeping along the system while carrying out a partial diagonalization of the single-site stationary problem. It bears full analogy to the density-matrix renormalization group approach to the ground state of isolated systems, and its numerical complexity scales as a power law with the bond dimension. The method b","authors_text":"Eduardo Mascarenhas, Hugo Flayac, Vincenzo Savona","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-23T11:23:40Z","title":"A Matrix-Product-Operator Approach to the Nonequilibrium Steady State of Driven-Dissipative Quantum Arrays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.06127","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":"sha256:180005fe19c1dab33942bbf2d6fe68ee71407a2f4906e46838b65eaa91816a75","target":"record","created_at":"2026-05-18T01:34:49Z","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":"2ab44f266608e97572c060d3d633340d8973f5a3037549fb63ab1cadd275734f","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-23T11:23:40Z","title_canon_sha256":"3db910816b84d82f4d3adc51b3be493c2577ef31e66d24fb73973cd7cb8cb9d7"},"schema_version":"1.0","source":{"id":"1504.06127","kind":"arxiv","version":2}},"canonical_sha256":"84b1c7c2f15b56a2d561226091d83ec37241f56556695f2e4cba4881b4393205","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84b1c7c2f15b56a2d561226091d83ec37241f56556695f2e4cba4881b4393205","first_computed_at":"2026-05-18T01:34:49.982329Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:49.982329Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BABqqEAyzeoK0ZjodPK0zTcw8dncddcPtJXN2IqnrzmcglrEGwzkWpUrGV7+qmbpmj9oWobTBxlSp7RJxTitDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:49.982955Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.06127","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:180005fe19c1dab33942bbf2d6fe68ee71407a2f4906e46838b65eaa91816a75","sha256:f014fa688b6d159bedf091ece6daa622ad1b90b0fd8e2a2f9c68d8a36085c7ec"],"state_sha256":"80170b6b401b9ca119ce27d7788db390cc1a5188e4f08275b1bf70441c31f549"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MatoEPiUs3v5/49gR2wJB9gjG6R82cqYCfUiumq2O7rhbk4RHp6eN4eFAhbu2nBMG41NKFHfdf/YiP+ZsNLUCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T22:55:22.436359Z","bundle_sha256":"4c4066c1b57c468486909c4a177e2ad79782d5df4a5a9af8e64766ca8992df94"}}