{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:3OD5YFFWJ2ZI653G5ERJ42QVLM","short_pith_number":"pith:3OD5YFFW","schema_version":"1.0","canonical_sha256":"db87dc14b64eb28f7766e9229e6a155b1975f0b66880f3bd7c1991168c81e025","source":{"kind":"arxiv","id":"2501.00547","version":2},"attestation_state":"computed","paper":{"title":"Measurement-Induced Phase Transition in State Estimation of Chaotic Systems and the Directed Polymer","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrea De Luca, Federico Gerbino, Guido Giachetti, Pierre Le Doussal","submitted_at":"2024-12-31T17:17:41Z","abstract_excerpt":"We introduce a solvable model of a measurement-induced phase transition (MIPT) in a deterministic but chaotic dynamical system with a positive Lyapunov exponent. In this setup, an observer only has a probabilistic description of the system but mitigates chaos-induced uncertainty through repeated measurements. Using a minimal representation via a branching tree, we map this problem to the directed polymer (DP) model on the Cayley tree, although in a regime dominated by rare events. By studying the Shannon entropy of the probability distribution estimated by the observer, we demonstrate a phase "},"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":"2501.00547","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-12-31T17:17:41Z","cross_cats_sorted":[],"title_canon_sha256":"e24831a629a320d1f070bbdd75bf8bd203a3aa513769858c9f78c8074d2cdf7d","abstract_canon_sha256":"8f577d66537f2b6815bebf180f2a6abb45d637c60af8d509f8213df84f3c4e10"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:46:38.392152Z","signature_b64":"lssqQ+ymWEMspclSJBteQ2z+Sm8cIfNg76UYLpU1zQyQiQV8YaNXsQ1Ew5djsJ+GoxlkGSvuBGDmYx3pN7F7DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db87dc14b64eb28f7766e9229e6a155b1975f0b66880f3bd7c1991168c81e025","last_reissued_at":"2026-07-05T11:46:38.391652Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:46:38.391652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Measurement-Induced Phase Transition in State Estimation of Chaotic Systems and the Directed Polymer","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrea De Luca, Federico Gerbino, Guido Giachetti, Pierre Le Doussal","submitted_at":"2024-12-31T17:17:41Z","abstract_excerpt":"We introduce a solvable model of a measurement-induced phase transition (MIPT) in a deterministic but chaotic dynamical system with a positive Lyapunov exponent. In this setup, an observer only has a probabilistic description of the system but mitigates chaos-induced uncertainty through repeated measurements. Using a minimal representation via a branching tree, we map this problem to the directed polymer (DP) model on the Cayley tree, although in a regime dominated by rare events. By studying the Shannon entropy of the probability distribution estimated by the observer, we demonstrate a phase "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.00547","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/2501.00547/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":"2501.00547","created_at":"2026-07-05T11:46:38.391717+00:00"},{"alias_kind":"arxiv_version","alias_value":"2501.00547v2","created_at":"2026-07-05T11:46:38.391717+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.00547","created_at":"2026-07-05T11:46:38.391717+00:00"},{"alias_kind":"pith_short_12","alias_value":"3OD5YFFWJ2ZI","created_at":"2026-07-05T11:46:38.391717+00:00"},{"alias_kind":"pith_short_16","alias_value":"3OD5YFFWJ2ZI653G","created_at":"2026-07-05T11:46:38.391717+00:00"},{"alias_kind":"pith_short_8","alias_value":"3OD5YFFW","created_at":"2026-07-05T11:46:38.391717+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/3OD5YFFWJ2ZI653G5ERJ42QVLM","json":"https://pith.science/pith/3OD5YFFWJ2ZI653G5ERJ42QVLM.json","graph_json":"https://pith.science/api/pith-number/3OD5YFFWJ2ZI653G5ERJ42QVLM/graph.json","events_json":"https://pith.science/api/pith-number/3OD5YFFWJ2ZI653G5ERJ42QVLM/events.json","paper":"https://pith.science/paper/3OD5YFFW"},"agent_actions":{"view_html":"https://pith.science/pith/3OD5YFFWJ2ZI653G5ERJ42QVLM","download_json":"https://pith.science/pith/3OD5YFFWJ2ZI653G5ERJ42QVLM.json","view_paper":"https://pith.science/paper/3OD5YFFW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2501.00547&json=true","fetch_graph":"https://pith.science/api/pith-number/3OD5YFFWJ2ZI653G5ERJ42QVLM/graph.json","fetch_events":"https://pith.science/api/pith-number/3OD5YFFWJ2ZI653G5ERJ42QVLM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3OD5YFFWJ2ZI653G5ERJ42QVLM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3OD5YFFWJ2ZI653G5ERJ42QVLM/action/storage_attestation","attest_author":"https://pith.science/pith/3OD5YFFWJ2ZI653G5ERJ42QVLM/action/author_attestation","sign_citation":"https://pith.science/pith/3OD5YFFWJ2ZI653G5ERJ42QVLM/action/citation_signature","submit_replication":"https://pith.science/pith/3OD5YFFWJ2ZI653G5ERJ42QVLM/action/replication_record"}},"created_at":"2026-07-05T11:46:38.391717+00:00","updated_at":"2026-07-05T11:46:38.391717+00:00"}