{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:Z2Q7LM4BSK4SSEQKIGOGMKM4L7","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":"636005bd28b376b2c50e27fe5b4da825c95f426fd1eb7ac131f06c46d3a9aebd","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-11-17T04:11:15Z","title_canon_sha256":"cf1e53c7de3a5d466a6dcf71e3bf6639e54dc7c8e329eb8147f5b0012e32190b"},"schema_version":"1.0","source":{"id":"1411.4356","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4356","created_at":"2026-05-18T02:28:40Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4356v1","created_at":"2026-05-18T02:28:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4356","created_at":"2026-05-18T02:28:40Z"},{"alias_kind":"pith_short_12","alias_value":"Z2Q7LM4BSK4S","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z2Q7LM4BSK4SSEQK","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z2Q7LM4B","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:765927ce9bce19a96a54b3cb17a4d80f59766899ec0f09e5aff362caa5ec4f86","target":"graph","created_at":"2026-05-18T02:28:40Z","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 present a sparse matrix permutation from graph theory that gives stable incomplete Lower-Upper (LU) preconditioners necessary for iterative solutions to the steady state density matrix for quantum optomechanical systems. This reordering is efficient, adding little overhead to the computation, and results in a marked reduction in both memory and runtime requirements compared to other solution methods, with performance gains increasing with system size. Either of these benchmarks can be tuned via the preconditioner accuracy and solution tolerance. This reordering optimizes the condition numbe","authors_text":"A. J. Rimberg, J. R. Johansson, M. P. Blencowe, P. D. Nation","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-11-17T04:11:15Z","title":"Iterative solutions to the steady state density matrix for optomechanical systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4356","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:d1d45dca52f137bf56796505c1954c79659b0a9249b114be61688b8a70e7725b","target":"record","created_at":"2026-05-18T02:28:40Z","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":"636005bd28b376b2c50e27fe5b4da825c95f426fd1eb7ac131f06c46d3a9aebd","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-11-17T04:11:15Z","title_canon_sha256":"cf1e53c7de3a5d466a6dcf71e3bf6639e54dc7c8e329eb8147f5b0012e32190b"},"schema_version":"1.0","source":{"id":"1411.4356","kind":"arxiv","version":1}},"canonical_sha256":"cea1f5b38192b929120a419c66299c5ffd9cd4dafe595116c415ea20cdf105d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cea1f5b38192b929120a419c66299c5ffd9cd4dafe595116c415ea20cdf105d3","first_computed_at":"2026-05-18T02:28:40.096617Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:40.096617Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gVcdFm2uV5he0XAiLHxeUhns+1vJRJ8uZhQVO2z7E+c8kVmuQPn+Yd3OxxC/Wkvh4/AbH4gigzBDuwCt1VR/DA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:40.097194Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.4356","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1d45dca52f137bf56796505c1954c79659b0a9249b114be61688b8a70e7725b","sha256:765927ce9bce19a96a54b3cb17a4d80f59766899ec0f09e5aff362caa5ec4f86"],"state_sha256":"91554697d74771fb787ad518796e11cd3e922cfa4fdcc2b5c8c69b15d89af57a"}