{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:MVODF4SOF6ERO5NECNWAPJK6HQ","short_pith_number":"pith:MVODF4SO","schema_version":"1.0","canonical_sha256":"655c32f24e2f891775a4136c07a55e3c2a6bdcec89dab1d9cf12cdec1dc3d549","source":{"kind":"arxiv","id":"2404.07263","version":2},"attestation_state":"computed","paper":{"title":"The planted directed polymer: inferring a random walk from noisy images","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Austen Lamacraft, Sun Woo P. Kim","submitted_at":"2024-04-10T18:00:05Z","abstract_excerpt":"We introduce and study the planted directed polymer, in which the path of a random walker is inferred from noisy 'images' accumulated at each timestep. Formulated as a nonlinear problem of Bayesian inference for a hidden Markov model, this problem is a generalization of the directed polymer problem of statistical physics, coinciding with it in the limit of zero signal to noise. For a 1D walker we present numerical investigations and analytical arguments that no phase transition is present. When formulated on a Cayley tree, methods developed for the directed polymer are used to show that there "},"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":"2404.07263","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-04-10T18:00:05Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"9be38360d08e7fe0cc260f8d9bd3c11db5e0c84c40610ee2dd977353d33ff2c5","abstract_canon_sha256":"f48b564f6eba52446d90bb38e3b1f828b147158ee2cdf735b2d842745fb52bd9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:17:07.574271Z","signature_b64":"+cGZfEjG8IbX3XgiAshHosBN0DP0oEvunuJD8zMPB/NypY39TDdC9bxgXsxZ80dMB6lA5rLXP3PLe3ljP53XBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"655c32f24e2f891775a4136c07a55e3c2a6bdcec89dab1d9cf12cdec1dc3d549","last_reissued_at":"2026-07-05T10:17:07.573774Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:17:07.573774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The planted directed polymer: inferring a random walk from noisy images","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Austen Lamacraft, Sun Woo P. Kim","submitted_at":"2024-04-10T18:00:05Z","abstract_excerpt":"We introduce and study the planted directed polymer, in which the path of a random walker is inferred from noisy 'images' accumulated at each timestep. Formulated as a nonlinear problem of Bayesian inference for a hidden Markov model, this problem is a generalization of the directed polymer problem of statistical physics, coinciding with it in the limit of zero signal to noise. For a 1D walker we present numerical investigations and analytical arguments that no phase transition is present. When formulated on a Cayley tree, methods developed for the directed polymer are used to show that there "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.07263","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/2404.07263/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":"2404.07263","created_at":"2026-07-05T10:17:07.573835+00:00"},{"alias_kind":"arxiv_version","alias_value":"2404.07263v2","created_at":"2026-07-05T10:17:07.573835+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.07263","created_at":"2026-07-05T10:17:07.573835+00:00"},{"alias_kind":"pith_short_12","alias_value":"MVODF4SOF6ER","created_at":"2026-07-05T10:17:07.573835+00:00"},{"alias_kind":"pith_short_16","alias_value":"MVODF4SOF6ERO5NE","created_at":"2026-07-05T10:17:07.573835+00:00"},{"alias_kind":"pith_short_8","alias_value":"MVODF4SO","created_at":"2026-07-05T10:17:07.573835+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.00547","citing_title":"Measurement-Induced Phase Transition in State Estimation of Chaotic Systems and the Directed Polymer","ref_index":68,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MVODF4SOF6ERO5NECNWAPJK6HQ","json":"https://pith.science/pith/MVODF4SOF6ERO5NECNWAPJK6HQ.json","graph_json":"https://pith.science/api/pith-number/MVODF4SOF6ERO5NECNWAPJK6HQ/graph.json","events_json":"https://pith.science/api/pith-number/MVODF4SOF6ERO5NECNWAPJK6HQ/events.json","paper":"https://pith.science/paper/MVODF4SO"},"agent_actions":{"view_html":"https://pith.science/pith/MVODF4SOF6ERO5NECNWAPJK6HQ","download_json":"https://pith.science/pith/MVODF4SOF6ERO5NECNWAPJK6HQ.json","view_paper":"https://pith.science/paper/MVODF4SO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2404.07263&json=true","fetch_graph":"https://pith.science/api/pith-number/MVODF4SOF6ERO5NECNWAPJK6HQ/graph.json","fetch_events":"https://pith.science/api/pith-number/MVODF4SOF6ERO5NECNWAPJK6HQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MVODF4SOF6ERO5NECNWAPJK6HQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MVODF4SOF6ERO5NECNWAPJK6HQ/action/storage_attestation","attest_author":"https://pith.science/pith/MVODF4SOF6ERO5NECNWAPJK6HQ/action/author_attestation","sign_citation":"https://pith.science/pith/MVODF4SOF6ERO5NECNWAPJK6HQ/action/citation_signature","submit_replication":"https://pith.science/pith/MVODF4SOF6ERO5NECNWAPJK6HQ/action/replication_record"}},"created_at":"2026-07-05T10:17:07.573835+00:00","updated_at":"2026-07-05T10:17:07.573835+00:00"}