{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:6JKUP4EABMLUNCBSGR3K7ARHAC","short_pith_number":"pith:6JKUP4EA","schema_version":"1.0","canonical_sha256":"f25547f0800b174688323476af822700946f82bd4f2176ed3b72ebd57ff76120","source":{"kind":"arxiv","id":"1905.08307","version":6},"attestation_state":"computed","paper":{"title":"Out of time ordered effective dynamics of a quartic oscillator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"hep-th","authors_text":"Bidisha Chakrabarty, Soumyadeep Chaudhuri","submitted_at":"2019-05-20T19:22:55Z","abstract_excerpt":"We study the dynamics of a quantum Brownian particle weakly coupled to a thermal bath. Working in the Schwinger-Keldysh formalism, we develop an effective action of the particle up to quartic terms. We demonstrate that this quartic effective theory is dual to a stochastic dynamics governed by a non-linear Langevin equation. The Schwinger-Keldysh effective theory, or the equivalent non-linear Langevin dynamics, is insufficient to determine the out of time order correlators (OTOCs) of the particle. To overcome this limitation, we construct an extended effective action in a generalised Schwinger-"},"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":"1905.08307","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-20T19:22:55Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"72ba45718af8e1f8e9b9ce7475cfd31da7fce11e4dac9cd93750ca51670a6f20","abstract_canon_sha256":"e4f1ea38b7c66d188e5571bb6b716411b1ce6f7c340f465da278f255679a5383"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:52:21.466649Z","signature_b64":"1CGwics1MmW/VMXq2b+K7u5s0vU5caqvyCjf7W5zV3LMDt2uF14CPYVDBvla4CydmwFqvuEA8+s2YXrILaH7Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f25547f0800b174688323476af822700946f82bd4f2176ed3b72ebd57ff76120","last_reissued_at":"2026-07-04T23:52:21.466215Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:52:21.466215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Out of time ordered effective dynamics of a quartic oscillator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"hep-th","authors_text":"Bidisha Chakrabarty, Soumyadeep Chaudhuri","submitted_at":"2019-05-20T19:22:55Z","abstract_excerpt":"We study the dynamics of a quantum Brownian particle weakly coupled to a thermal bath. Working in the Schwinger-Keldysh formalism, we develop an effective action of the particle up to quartic terms. We demonstrate that this quartic effective theory is dual to a stochastic dynamics governed by a non-linear Langevin equation. The Schwinger-Keldysh effective theory, or the equivalent non-linear Langevin dynamics, is insufficient to determine the out of time order correlators (OTOCs) of the particle. To overcome this limitation, we construct an extended effective action in a generalised Schwinger-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.08307","kind":"arxiv","version":6},"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/1905.08307/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":"1905.08307","created_at":"2026-07-04T23:52:21.466271+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.08307v6","created_at":"2026-07-04T23:52:21.466271+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.08307","created_at":"2026-07-04T23:52:21.466271+00:00"},{"alias_kind":"pith_short_12","alias_value":"6JKUP4EABMLU","created_at":"2026-07-04T23:52:21.466271+00:00"},{"alias_kind":"pith_short_16","alias_value":"6JKUP4EABMLUNCBS","created_at":"2026-07-04T23:52:21.466271+00:00"},{"alias_kind":"pith_short_8","alias_value":"6JKUP4EA","created_at":"2026-07-04T23:52:21.466271+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2509.03656","citing_title":"Loops Outside a Black Hole","ref_index":53,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6JKUP4EABMLUNCBSGR3K7ARHAC","json":"https://pith.science/pith/6JKUP4EABMLUNCBSGR3K7ARHAC.json","graph_json":"https://pith.science/api/pith-number/6JKUP4EABMLUNCBSGR3K7ARHAC/graph.json","events_json":"https://pith.science/api/pith-number/6JKUP4EABMLUNCBSGR3K7ARHAC/events.json","paper":"https://pith.science/paper/6JKUP4EA"},"agent_actions":{"view_html":"https://pith.science/pith/6JKUP4EABMLUNCBSGR3K7ARHAC","download_json":"https://pith.science/pith/6JKUP4EABMLUNCBSGR3K7ARHAC.json","view_paper":"https://pith.science/paper/6JKUP4EA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.08307&json=true","fetch_graph":"https://pith.science/api/pith-number/6JKUP4EABMLUNCBSGR3K7ARHAC/graph.json","fetch_events":"https://pith.science/api/pith-number/6JKUP4EABMLUNCBSGR3K7ARHAC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6JKUP4EABMLUNCBSGR3K7ARHAC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6JKUP4EABMLUNCBSGR3K7ARHAC/action/storage_attestation","attest_author":"https://pith.science/pith/6JKUP4EABMLUNCBSGR3K7ARHAC/action/author_attestation","sign_citation":"https://pith.science/pith/6JKUP4EABMLUNCBSGR3K7ARHAC/action/citation_signature","submit_replication":"https://pith.science/pith/6JKUP4EABMLUNCBSGR3K7ARHAC/action/replication_record"}},"created_at":"2026-07-04T23:52:21.466271+00:00","updated_at":"2026-07-04T23:52:21.466271+00:00"}