{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:LOV4NILOKNVVUIADUVMZBSJSWR","short_pith_number":"pith:LOV4NILO","canonical_record":{"source":{"id":"math/0611781","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.ST","submitted_at":"2006-11-25T12:45:48Z","cross_cats_sorted":["math.PR","stat.TH"],"title_canon_sha256":"40e301c082da2d3e717f79e9b56a2552bc499c83bf6c4859589289b81e3f43ee","abstract_canon_sha256":"5f3bcdee41497104636f52a9ee2ff4f2c55ec546a05d8a80e47b61f32ac32dcb"},"schema_version":"1.0"},"canonical_sha256":"5babc6a16e536b5a2003a55990c932b46446971232b7517e0f60b621fc7f0499","source":{"kind":"arxiv","id":"math/0611781","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0611781","created_at":"2026-05-18T04:08:53Z"},{"alias_kind":"arxiv_version","alias_value":"math/0611781v2","created_at":"2026-05-18T04:08:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0611781","created_at":"2026-05-18T04:08:53Z"},{"alias_kind":"pith_short_12","alias_value":"LOV4NILOKNVV","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"LOV4NILOKNVVUIAD","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"LOV4NILO","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:LOV4NILOKNVVUIADUVMZBSJSWR","target":"record","payload":{"canonical_record":{"source":{"id":"math/0611781","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.ST","submitted_at":"2006-11-25T12:45:48Z","cross_cats_sorted":["math.PR","stat.TH"],"title_canon_sha256":"40e301c082da2d3e717f79e9b56a2552bc499c83bf6c4859589289b81e3f43ee","abstract_canon_sha256":"5f3bcdee41497104636f52a9ee2ff4f2c55ec546a05d8a80e47b61f32ac32dcb"},"schema_version":"1.0"},"canonical_sha256":"5babc6a16e536b5a2003a55990c932b46446971232b7517e0f60b621fc7f0499","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:53.123024Z","signature_b64":"WdfoT7ycLmKnR6i/peN2+8PMoyK1PB6wa9vlDHNGPsNVIP5V4p/tEKTClHMimcvN5awgNGTmDNESAQiaqgCfAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5babc6a16e536b5a2003a55990c932b46446971232b7517e0f60b621fc7f0499","last_reissued_at":"2026-05-18T04:08:53.122597Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:53.122597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0611781","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:08:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fgQAb7P959JHGaUGEYP5o+UPkVkV2Sukw+hDXxLfMmpTg23g6BsLvvG6wLc0q5zehZjY8L6VA9m+9koS0Ta4Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:53:39.933910Z"},"content_sha256":"fcbf8f5e0d062362d2456ee4cc080445618f586cfa7949187946125ecb741712","schema_version":"1.0","event_id":"sha256:fcbf8f5e0d062362d2456ee4cc080445618f586cfa7949187946125ecb741712"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:LOV4NILOKNVVUIADUVMZBSJSWR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Parametric estimation for partially hidden diffusion processes sampled at discrete times","license":"","headline":"","cross_cats":["math.PR","stat.TH"],"primary_cat":"math.ST","authors_text":"Masayuki Uchida, nakahiro yoshida, Stefano Iacus","submitted_at":"2006-11-25T12:45:48Z","abstract_excerpt":"For a one dimensional diffusion process $X=\\{X(t) ; 0\\leq t \\leq T \\}$, we suppose that $X(t)$ is hidden if it is below some fixed and known threshold $\\tau$, but otherwise it is visible. This means a partially hidden diffusion process. The problem treated in this paper is to estimate finite dimensional parameter in both drift and diffusion coefficients under a partially hidden diffusion process obtained by a discrete sampling scheme. It is assumed that the sampling occurs at regularly spaced time intervals of length $h_n$ such that $n h_n=T$. The asymptotic is when $h_n\\to0$, $T\\to\\infty$ and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0611781","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:08:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oeSC5T6H2O5mJHaPr0jU1p7D8mdTWgq2a9NKkrumaEdbca03fRnHeahdbCQ+tnzfWorb5gHyaHqpls/EpNyQCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:53:39.934268Z"},"content_sha256":"76fba7d9d8f87ed6aed437b9b74191effdf6c8951b664ed90ad86ad1fa7af6cc","schema_version":"1.0","event_id":"sha256:76fba7d9d8f87ed6aed437b9b74191effdf6c8951b664ed90ad86ad1fa7af6cc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LOV4NILOKNVVUIADUVMZBSJSWR/bundle.json","state_url":"https://pith.science/pith/LOV4NILOKNVVUIADUVMZBSJSWR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LOV4NILOKNVVUIADUVMZBSJSWR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T19:53:39Z","links":{"resolver":"https://pith.science/pith/LOV4NILOKNVVUIADUVMZBSJSWR","bundle":"https://pith.science/pith/LOV4NILOKNVVUIADUVMZBSJSWR/bundle.json","state":"https://pith.science/pith/LOV4NILOKNVVUIADUVMZBSJSWR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LOV4NILOKNVVUIADUVMZBSJSWR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:LOV4NILOKNVVUIADUVMZBSJSWR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"5f3bcdee41497104636f52a9ee2ff4f2c55ec546a05d8a80e47b61f32ac32dcb","cross_cats_sorted":["math.PR","stat.TH"],"license":"","primary_cat":"math.ST","submitted_at":"2006-11-25T12:45:48Z","title_canon_sha256":"40e301c082da2d3e717f79e9b56a2552bc499c83bf6c4859589289b81e3f43ee"},"schema_version":"1.0","source":{"id":"math/0611781","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0611781","created_at":"2026-05-18T04:08:53Z"},{"alias_kind":"arxiv_version","alias_value":"math/0611781v2","created_at":"2026-05-18T04:08:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0611781","created_at":"2026-05-18T04:08:53Z"},{"alias_kind":"pith_short_12","alias_value":"LOV4NILOKNVV","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"LOV4NILOKNVVUIAD","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"LOV4NILO","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:76fba7d9d8f87ed6aed437b9b74191effdf6c8951b664ed90ad86ad1fa7af6cc","target":"graph","created_at":"2026-05-18T04:08:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"For a one dimensional diffusion process $X=\\{X(t) ; 0\\leq t \\leq T \\}$, we suppose that $X(t)$ is hidden if it is below some fixed and known threshold $\\tau$, but otherwise it is visible. This means a partially hidden diffusion process. The problem treated in this paper is to estimate finite dimensional parameter in both drift and diffusion coefficients under a partially hidden diffusion process obtained by a discrete sampling scheme. It is assumed that the sampling occurs at regularly spaced time intervals of length $h_n$ such that $n h_n=T$. The asymptotic is when $h_n\\to0$, $T\\to\\infty$ and","authors_text":"Masayuki Uchida, nakahiro yoshida, Stefano Iacus","cross_cats":["math.PR","stat.TH"],"headline":"","license":"","primary_cat":"math.ST","submitted_at":"2006-11-25T12:45:48Z","title":"Parametric estimation for partially hidden diffusion processes sampled at discrete times"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0611781","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:fcbf8f5e0d062362d2456ee4cc080445618f586cfa7949187946125ecb741712","target":"record","created_at":"2026-05-18T04:08:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"5f3bcdee41497104636f52a9ee2ff4f2c55ec546a05d8a80e47b61f32ac32dcb","cross_cats_sorted":["math.PR","stat.TH"],"license":"","primary_cat":"math.ST","submitted_at":"2006-11-25T12:45:48Z","title_canon_sha256":"40e301c082da2d3e717f79e9b56a2552bc499c83bf6c4859589289b81e3f43ee"},"schema_version":"1.0","source":{"id":"math/0611781","kind":"arxiv","version":2}},"canonical_sha256":"5babc6a16e536b5a2003a55990c932b46446971232b7517e0f60b621fc7f0499","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5babc6a16e536b5a2003a55990c932b46446971232b7517e0f60b621fc7f0499","first_computed_at":"2026-05-18T04:08:53.122597Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:53.122597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WdfoT7ycLmKnR6i/peN2+8PMoyK1PB6wa9vlDHNGPsNVIP5V4p/tEKTClHMimcvN5awgNGTmDNESAQiaqgCfAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:53.123024Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0611781","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcbf8f5e0d062362d2456ee4cc080445618f586cfa7949187946125ecb741712","sha256:76fba7d9d8f87ed6aed437b9b74191effdf6c8951b664ed90ad86ad1fa7af6cc"],"state_sha256":"9d1efaf1a83bd2fe1696f1cde2c32d8e6c7d4fd94c120c3cd3c501ab22be46f4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Aye/FPuvmnOJOzVeCNPyFNRrjbh3DZfA0T7Sjguu+H/d7LsYC9eoZi6RrXFFGmvVG37FbHfmBzkqNSbveNkfBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T19:53:39.936383Z","bundle_sha256":"46fe3eef061294b6879e054caf16d49506d5e5d3b04c2e0b4bc1824a167a26c4"}}