{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:GCA74DDVYNMJDBAUTTWJ43YOTZ","short_pith_number":"pith:GCA74DDV","schema_version":"1.0","canonical_sha256":"3081fe0c75c3589184149cec9e6f0e9e5920441b69604b3a3d0bd80025373a8a","source":{"kind":"arxiv","id":"1905.13534","version":4},"attestation_state":"computed","paper":{"title":"Chaos and Complexity in Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD","quant-ph"],"primary_cat":"hep-th","authors_text":"Arpan Bhattacharyya, Eugene H. Kim, Jeff Murugan, Nathan Moynihan, S. Shajidul Haque, Tibra Ali","submitted_at":"2019-05-31T12:09:22Z","abstract_excerpt":"We propose a new diagnostic for quantum chaos. We show that time evolution of complexity for a particular type of target state can provide equivalent information about the classical Lyapunov exponent and scrambling time as out-of-time-order correlators. Moreover, for systems that can be switched from a regular to unstable (chaotic) regime by a tuning of the coupling constant of the interaction Hamiltonian, we find that the complexity defines a new time scale. We interpret this time scale as recording when the system makes the transition from regular to chaotic behaviour."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1905.13534","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-31T12:09:22Z","cross_cats_sorted":["nlin.CD","quant-ph"],"title_canon_sha256":"d34be494837f065abbc2946ba8b965c3a801b4b26ddf0f5d3968ebe7c091609d","abstract_canon_sha256":"e2911ce3bf9bd4c3cade829c4e3bd040ab7f79079b4646e68d21da5d4593e1c4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:38:24.788420Z","signature_b64":"4xjde9Q3ziCIEv93rEkYFbpwmr4NAKwUZOUXvLyYf5yFuJ+DMITMc87GJNTy8ccqG3blOMGFc7hYWDLRqnE3DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3081fe0c75c3589184149cec9e6f0e9e5920441b69604b3a3d0bd80025373a8a","last_reissued_at":"2026-07-05T00:38:24.787905Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:38:24.787905Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Chaos and Complexity in Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD","quant-ph"],"primary_cat":"hep-th","authors_text":"Arpan Bhattacharyya, Eugene H. Kim, Jeff Murugan, Nathan Moynihan, S. Shajidul Haque, Tibra Ali","submitted_at":"2019-05-31T12:09:22Z","abstract_excerpt":"We propose a new diagnostic for quantum chaos. We show that time evolution of complexity for a particular type of target state can provide equivalent information about the classical Lyapunov exponent and scrambling time as out-of-time-order correlators. Moreover, for systems that can be switched from a regular to unstable (chaotic) regime by a tuning of the coupling constant of the interaction Hamiltonian, we find that the complexity defines a new time scale. We interpret this time scale as recording when the system makes the transition from regular to chaotic behaviour."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.13534","kind":"arxiv","version":4},"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/1905.13534/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1905.13534","created_at":"2026-07-05T00:38:24.787965+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.13534v4","created_at":"2026-07-05T00:38:24.787965+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.13534","created_at":"2026-07-05T00:38:24.787965+00:00"},{"alias_kind":"pith_short_12","alias_value":"GCA74DDVYNMJ","created_at":"2026-07-05T00:38:24.787965+00:00"},{"alias_kind":"pith_short_16","alias_value":"GCA74DDVYNMJDBAU","created_at":"2026-07-05T00:38:24.787965+00:00"},{"alias_kind":"pith_short_8","alias_value":"GCA74DDV","created_at":"2026-07-05T00:38:24.787965+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2509.14810","citing_title":"Krylov Complexity for Open Quantum System: Dissipation and Decoherence","ref_index":29,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GCA74DDVYNMJDBAUTTWJ43YOTZ","json":"https://pith.science/pith/GCA74DDVYNMJDBAUTTWJ43YOTZ.json","graph_json":"https://pith.science/api/pith-number/GCA74DDVYNMJDBAUTTWJ43YOTZ/graph.json","events_json":"https://pith.science/api/pith-number/GCA74DDVYNMJDBAUTTWJ43YOTZ/events.json","paper":"https://pith.science/paper/GCA74DDV"},"agent_actions":{"view_html":"https://pith.science/pith/GCA74DDVYNMJDBAUTTWJ43YOTZ","download_json":"https://pith.science/pith/GCA74DDVYNMJDBAUTTWJ43YOTZ.json","view_paper":"https://pith.science/paper/GCA74DDV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.13534&json=true","fetch_graph":"https://pith.science/api/pith-number/GCA74DDVYNMJDBAUTTWJ43YOTZ/graph.json","fetch_events":"https://pith.science/api/pith-number/GCA74DDVYNMJDBAUTTWJ43YOTZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GCA74DDVYNMJDBAUTTWJ43YOTZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GCA74DDVYNMJDBAUTTWJ43YOTZ/action/storage_attestation","attest_author":"https://pith.science/pith/GCA74DDVYNMJDBAUTTWJ43YOTZ/action/author_attestation","sign_citation":"https://pith.science/pith/GCA74DDVYNMJDBAUTTWJ43YOTZ/action/citation_signature","submit_replication":"https://pith.science/pith/GCA74DDVYNMJDBAUTTWJ43YOTZ/action/replication_record"}},"created_at":"2026-07-05T00:38:24.787965+00:00","updated_at":"2026-07-05T00:38:24.787965+00:00"}