{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:PEDC3EPPUWDBP6X3IEZQ6LQTOX","short_pith_number":"pith:PEDC3EPP","canonical_record":{"source":{"id":"2312.05321","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-12-08T19:11:55Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"12588b32ae89cdc8bcde0302e1462caa45731c6cd7d17a8cb87879c9c445b688","abstract_canon_sha256":"564c618fc8a7b5a209543ede0c77cd1ac8c93aa61dafb0d007246e466a7dedbf"},"schema_version":"1.0"},"canonical_sha256":"79062d91efa58617fafb41330f2e1375d6610e5ff638a53f91d0e1c385187fd3","source":{"kind":"arxiv","id":"2312.05321","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:PEDC3EPPUWDBP6X3IEZQ6LQTOX","target":"record","payload":{"canonical_record":{"source":{"id":"2312.05321","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-12-08T19:11:55Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"12588b32ae89cdc8bcde0302e1462caa45731c6cd7d17a8cb87879c9c445b688","abstract_canon_sha256":"564c618fc8a7b5a209543ede0c77cd1ac8c93aa61dafb0d007246e466a7dedbf"},"schema_version":"1.0"},"canonical_sha256":"79062d91efa58617fafb41330f2e1375d6610e5ff638a53f91d0e1c385187fd3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:30:30.370552Z","signature_b64":"gQh0g/rB6vhM7C1aOClAtku/MoCYP1wNse8XXCtlOwsUKUv5JBKyRE2+s3wTfMl7lCejwlolgKwf9u0pPEy6DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79062d91efa58617fafb41330f2e1375d6610e5ff638a53f91d0e1c385187fd3","last_reissued_at":"2026-07-05T08:30:30.370032Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:30:30.370032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.05321","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":"2026-07-05T08:30:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1HoBcCbzL1ccqGUBtJ8WM9hPelRaF9LqyTcPjCymM1D6/YzrmDZK4tz8Q5Hq4tO3Gby31J/eLlKyFwPxTSWMBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T14:50:47.246865Z"},"content_sha256":"a000529cdd935dee8c0bad4660ae730ec079816c6808d8f2ed53954e181dbd6f","schema_version":"1.0","event_id":"sha256:a000529cdd935dee8c0bad4660ae730ec079816c6808d8f2ed53954e181dbd6f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:PEDC3EPPUWDBP6X3IEZQ6LQTOX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Krylov Complexity and Dynamical Phase Transition in the quenched LMG model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Adolfo del Campo, Lucas C. C\\'eleri, Pedro H. S. Bento","submitted_at":"2023-12-08T19:11:55Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.05321","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2312.05321/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:30:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fnLsmOtuoxkn17eWjElbvxIdfc1VgNyIJd0at+24BMW06T8MaCcmteYYELd73s1pwyfAv79nSjMVymeUj2InDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T14:50:47.247854Z"},"content_sha256":"44e1173c3bea97493fcab2f517ba383e37430e0a80f80eaaff8668d61d808027","schema_version":"1.0","event_id":"sha256:44e1173c3bea97493fcab2f517ba383e37430e0a80f80eaaff8668d61d808027"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PEDC3EPPUWDBP6X3IEZQ6LQTOX/bundle.json","state_url":"https://pith.science/pith/PEDC3EPPUWDBP6X3IEZQ6LQTOX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PEDC3EPPUWDBP6X3IEZQ6LQTOX/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":"2026-08-04T14:50:47Z","links":{"resolver":"https://pith.science/pith/PEDC3EPPUWDBP6X3IEZQ6LQTOX","bundle":"https://pith.science/pith/PEDC3EPPUWDBP6X3IEZQ6LQTOX/bundle.json","state":"https://pith.science/pith/PEDC3EPPUWDBP6X3IEZQ6LQTOX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PEDC3EPPUWDBP6X3IEZQ6LQTOX/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1oWxFEL4rAiES090fTfXuUCbZu5e5mHSJXEoLYCf2RTJQoC3jeSZhboWXrTtxew4uUtpJWYGcM92GdWEjBAnDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T14:50:47.254349Z","bundle_sha256":"f1d88c12a18b1122081d14522f06d9a7528cbac894f815cdea53544ae48761a0"}}