{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:QD57J2KU2LCF7J7HC47LL2LEMR","short_pith_number":"pith:QD57J2KU","schema_version":"1.0","canonical_sha256":"80fbf4e954d2c45fa7e7173eb5e964644d741828c55f2e500e50176e8a951ba3","source":{"kind":"arxiv","id":"1609.07338","version":2},"attestation_state":"computed","paper":{"title":"Observing quantum chaos with noisy measurements and highly mixed states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jason F. Ralph, Kurt Jacobs, Mark J. Everitt","submitted_at":"2016-09-23T12:34:03Z","abstract_excerpt":"A fundamental requirement for the emergence of classical behavior from an underlying quantum description is that certain observed quantum systems make a transition to chaotic dynamics as their action is increased relative to $\\hbar$. While experiments have demonstrated some aspects of this transition, the emergence of quantum trajectories with a positive Lyapunov exponent has never been observed directly. Here, we remove a major obstacle to achieving this goal by showing that, for the Duffing oscillator, the transition to a positive Lyapunov exponent can be resolved clearly from observed traje"},"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":"1609.07338","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-23T12:34:03Z","cross_cats_sorted":[],"title_canon_sha256":"8f628dfc77cc81cbe1b3f7f9512b8ec3d897bc62a371d3f979414b897afe8da5","abstract_canon_sha256":"e5b7e85f64edaba7e96c965bf3d99e09325c8fb32592bdeb333bed5f8658b8d5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:46.064494Z","signature_b64":"CYQqhYVV96LXlp3+rmW2Lcj16eaGr9VVsNxP+vC8LJ0GM+bkEyvw/53OnIpty5kFWwYgl2cLMGuLFOeJqUG5Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80fbf4e954d2c45fa7e7173eb5e964644d741828c55f2e500e50176e8a951ba3","last_reissued_at":"2026-05-18T00:51:46.063770Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:46.063770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Observing quantum chaos with noisy measurements and highly mixed states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jason F. Ralph, Kurt Jacobs, Mark J. Everitt","submitted_at":"2016-09-23T12:34:03Z","abstract_excerpt":"A fundamental requirement for the emergence of classical behavior from an underlying quantum description is that certain observed quantum systems make a transition to chaotic dynamics as their action is increased relative to $\\hbar$. While experiments have demonstrated some aspects of this transition, the emergence of quantum trajectories with a positive Lyapunov exponent has never been observed directly. Here, we remove a major obstacle to achieving this goal by showing that, for the Duffing oscillator, the transition to a positive Lyapunov exponent can be resolved clearly from observed traje"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.07338","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1609.07338","created_at":"2026-05-18T00:51:46.063932+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.07338v2","created_at":"2026-05-18T00:51:46.063932+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.07338","created_at":"2026-05-18T00:51:46.063932+00:00"},{"alias_kind":"pith_short_12","alias_value":"QD57J2KU2LCF","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"QD57J2KU2LCF7J7H","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"QD57J2KU","created_at":"2026-05-18T12:30:39.010887+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QD57J2KU2LCF7J7HC47LL2LEMR","json":"https://pith.science/pith/QD57J2KU2LCF7J7HC47LL2LEMR.json","graph_json":"https://pith.science/api/pith-number/QD57J2KU2LCF7J7HC47LL2LEMR/graph.json","events_json":"https://pith.science/api/pith-number/QD57J2KU2LCF7J7HC47LL2LEMR/events.json","paper":"https://pith.science/paper/QD57J2KU"},"agent_actions":{"view_html":"https://pith.science/pith/QD57J2KU2LCF7J7HC47LL2LEMR","download_json":"https://pith.science/pith/QD57J2KU2LCF7J7HC47LL2LEMR.json","view_paper":"https://pith.science/paper/QD57J2KU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.07338&json=true","fetch_graph":"https://pith.science/api/pith-number/QD57J2KU2LCF7J7HC47LL2LEMR/graph.json","fetch_events":"https://pith.science/api/pith-number/QD57J2KU2LCF7J7HC47LL2LEMR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QD57J2KU2LCF7J7HC47LL2LEMR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QD57J2KU2LCF7J7HC47LL2LEMR/action/storage_attestation","attest_author":"https://pith.science/pith/QD57J2KU2LCF7J7HC47LL2LEMR/action/author_attestation","sign_citation":"https://pith.science/pith/QD57J2KU2LCF7J7HC47LL2LEMR/action/citation_signature","submit_replication":"https://pith.science/pith/QD57J2KU2LCF7J7HC47LL2LEMR/action/replication_record"}},"created_at":"2026-05-18T00:51:46.063932+00:00","updated_at":"2026-05-18T00:51:46.063932+00:00"}