{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:FYLAXK5IOFGPEY3E47ROLF2HAJ","short_pith_number":"pith:FYLAXK5I","schema_version":"1.0","canonical_sha256":"2e160baba8714cf26364e7e2e5974702612aae9badf11f88927ffc22930225b5","source":{"kind":"arxiv","id":"1010.5105","version":1},"attestation_state":"computed","paper":{"title":"Estimating a periodicity parameter in the drift of a time inhomogeneous diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","stat.TH"],"primary_cat":"math.ST","authors_text":"Reinhard Hoepfner, Yury Kutoyants","submitted_at":"2010-10-25T12:56:15Z","abstract_excerpt":"We consider a diffusion $(\\xi_t)_{t\\ge 0}$ whose drift contains some deterministic periodic signal. Its shape being fixed and known, up to scaling in time, the periodicity of the signal is the unknown parameter $\\vartheta$ of interest. We consider sequences of local models at $\\vartheta$, corresponding to continuous observation of the process $\\xi$ on the time interval $[0,n]$ as $n\\to\\infty$, with suitable choice of local scale at $\\vartheta$. Our tools --under an ergodicity condition-- are path segments of $\\xi$ corresponding to the period $\\vartheta$, and limit theorems for certain function"},"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":"1010.5105","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-10-25T12:56:15Z","cross_cats_sorted":["math.PR","stat.TH"],"title_canon_sha256":"90443fb36477d5672f272a2324f9bd4eedf80f8b3040fdacbfe27b387c3f8c42","abstract_canon_sha256":"bdc33e2911f610183c925dcfcdae37d7c6046f76ef831598e862350a22a0cd12"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:49.392010Z","signature_b64":"dwS2+iQi9xTb2RXvm57xns+Vc23pzJhXlb3SqiDv6yy7ypmoiwOEOMkkGLlbdbyt2alCa3dxKSb+m4Ow5DP0BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e160baba8714cf26364e7e2e5974702612aae9badf11f88927ffc22930225b5","last_reissued_at":"2026-05-18T04:38:49.391331Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:49.391331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Estimating a periodicity parameter in the drift of a time inhomogeneous diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","stat.TH"],"primary_cat":"math.ST","authors_text":"Reinhard Hoepfner, Yury Kutoyants","submitted_at":"2010-10-25T12:56:15Z","abstract_excerpt":"We consider a diffusion $(\\xi_t)_{t\\ge 0}$ whose drift contains some deterministic periodic signal. Its shape being fixed and known, up to scaling in time, the periodicity of the signal is the unknown parameter $\\vartheta$ of interest. We consider sequences of local models at $\\vartheta$, corresponding to continuous observation of the process $\\xi$ on the time interval $[0,n]$ as $n\\to\\infty$, with suitable choice of local scale at $\\vartheta$. Our tools --under an ergodicity condition-- are path segments of $\\xi$ corresponding to the period $\\vartheta$, and limit theorems for certain function"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5105","kind":"arxiv","version":1},"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":"1010.5105","created_at":"2026-05-18T04:38:49.391428+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.5105v1","created_at":"2026-05-18T04:38:49.391428+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5105","created_at":"2026-05-18T04:38:49.391428+00:00"},{"alias_kind":"pith_short_12","alias_value":"FYLAXK5IOFGP","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"FYLAXK5IOFGPEY3E","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"FYLAXK5I","created_at":"2026-05-18T12:26:07.630475+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/FYLAXK5IOFGPEY3E47ROLF2HAJ","json":"https://pith.science/pith/FYLAXK5IOFGPEY3E47ROLF2HAJ.json","graph_json":"https://pith.science/api/pith-number/FYLAXK5IOFGPEY3E47ROLF2HAJ/graph.json","events_json":"https://pith.science/api/pith-number/FYLAXK5IOFGPEY3E47ROLF2HAJ/events.json","paper":"https://pith.science/paper/FYLAXK5I"},"agent_actions":{"view_html":"https://pith.science/pith/FYLAXK5IOFGPEY3E47ROLF2HAJ","download_json":"https://pith.science/pith/FYLAXK5IOFGPEY3E47ROLF2HAJ.json","view_paper":"https://pith.science/paper/FYLAXK5I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.5105&json=true","fetch_graph":"https://pith.science/api/pith-number/FYLAXK5IOFGPEY3E47ROLF2HAJ/graph.json","fetch_events":"https://pith.science/api/pith-number/FYLAXK5IOFGPEY3E47ROLF2HAJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FYLAXK5IOFGPEY3E47ROLF2HAJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FYLAXK5IOFGPEY3E47ROLF2HAJ/action/storage_attestation","attest_author":"https://pith.science/pith/FYLAXK5IOFGPEY3E47ROLF2HAJ/action/author_attestation","sign_citation":"https://pith.science/pith/FYLAXK5IOFGPEY3E47ROLF2HAJ/action/citation_signature","submit_replication":"https://pith.science/pith/FYLAXK5IOFGPEY3E47ROLF2HAJ/action/replication_record"}},"created_at":"2026-05-18T04:38:49.391428+00:00","updated_at":"2026-05-18T04:38:49.391428+00:00"}