{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:PEDC3EPPUWDBP6X3IEZQ6LQTOX","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":"564c618fc8a7b5a209543ede0c77cd1ac8c93aa61dafb0d007246e466a7dedbf","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-12-08T19:11:55Z","title_canon_sha256":"12588b32ae89cdc8bcde0302e1462caa45731c6cd7d17a8cb87879c9c445b688"},"schema_version":"1.0","source":{"id":"2312.05321","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.05321","created_at":"2026-07-05T08:30:30Z"},{"alias_kind":"arxiv_version","alias_value":"2312.05321v2","created_at":"2026-07-05T08:30:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.05321","created_at":"2026-07-05T08:30:30Z"},{"alias_kind":"pith_short_12","alias_value":"PEDC3EPPUWDB","created_at":"2026-07-05T08:30:30Z"},{"alias_kind":"pith_short_16","alias_value":"PEDC3EPPUWDBP6X3","created_at":"2026-07-05T08:30:30Z"},{"alias_kind":"pith_short_8","alias_value":"PEDC3EPP","created_at":"2026-07-05T08:30:30Z"}],"graph_snapshots":[{"event_id":"sha256:44e1173c3bea97493fcab2f517ba383e37430e0a80f80eaaff8668d61d808027","target":"graph","created_at":"2026-07-05T08:30:30Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2312.05321/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Investigating the time evolution of complexity in quantum systems entails evaluating the spreading of the system's state across a defined basis in its corresponding Hilbert space. Recently, the Krylov basis has been identified as the one that minimizes this spreading. In this study, we develop a numerical exploration of the Krylov complexity in quantum states following a quench in the Lipkin-Meshkov-Glick model. Our results reveal that the long-term averaged Krylov complexity acts as an order parameter for this model. It effectively discriminates between the two dynamic phases induced by the q","authors_text":"Adolfo del Campo, Lucas C. C\\'eleri, Pedro H. S. Bento","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-12-08T19:11:55Z","title":"Krylov Complexity and Dynamical Phase Transition in the quenched LMG model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.05321","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:a000529cdd935dee8c0bad4660ae730ec079816c6808d8f2ed53954e181dbd6f","target":"record","created_at":"2026-07-05T08:30:30Z","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":"564c618fc8a7b5a209543ede0c77cd1ac8c93aa61dafb0d007246e466a7dedbf","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-12-08T19:11:55Z","title_canon_sha256":"12588b32ae89cdc8bcde0302e1462caa45731c6cd7d17a8cb87879c9c445b688"},"schema_version":"1.0","source":{"id":"2312.05321","kind":"arxiv","version":2}},"canonical_sha256":"79062d91efa58617fafb41330f2e1375d6610e5ff638a53f91d0e1c385187fd3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79062d91efa58617fafb41330f2e1375d6610e5ff638a53f91d0e1c385187fd3","first_computed_at":"2026-07-05T08:30:30.370032Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:30:30.370032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gQh0g/rB6vhM7C1aOClAtku/MoCYP1wNse8XXCtlOwsUKUv5JBKyRE2+s3wTfMl7lCejwlolgKwf9u0pPEy6DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:30:30.370552Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.05321","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a000529cdd935dee8c0bad4660ae730ec079816c6808d8f2ed53954e181dbd6f","sha256:44e1173c3bea97493fcab2f517ba383e37430e0a80f80eaaff8668d61d808027"],"state_sha256":"23f0dcef79280befa09aeced631946e171de667c2b8bd8cade96715381339568"}