{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:Q5XLNHGPSZU37Z2RR55G73HNRZ","short_pith_number":"pith:Q5XLNHGP","canonical_record":{"source":{"id":"2510.09028","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-10-10T05:59:08Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"ce6e9d679043dc094ee4aab4c82c9feddb2b7feb8237f79dbff776ad4d06fb41","abstract_canon_sha256":"268cedd55b973b06383772107bbc85c098088f3e55084bfeff399d6589865f3e"},"schema_version":"1.0"},"canonical_sha256":"876eb69ccf9669bfe7518f7a6feced8e7f9a73f42a4c53e8dc8fe7e5364f37ae","source":{"kind":"arxiv","id":"2510.09028","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.09028","created_at":"2026-05-20T01:04:59Z"},{"alias_kind":"arxiv_version","alias_value":"2510.09028v2","created_at":"2026-05-20T01:04:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.09028","created_at":"2026-05-20T01:04:59Z"},{"alias_kind":"pith_short_12","alias_value":"Q5XLNHGPSZU3","created_at":"2026-05-20T01:04:59Z"},{"alias_kind":"pith_short_16","alias_value":"Q5XLNHGPSZU37Z2R","created_at":"2026-05-20T01:04:59Z"},{"alias_kind":"pith_short_8","alias_value":"Q5XLNHGP","created_at":"2026-05-20T01:04:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:Q5XLNHGPSZU37Z2RR55G73HNRZ","target":"record","payload":{"canonical_record":{"source":{"id":"2510.09028","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-10-10T05:59:08Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"ce6e9d679043dc094ee4aab4c82c9feddb2b7feb8237f79dbff776ad4d06fb41","abstract_canon_sha256":"268cedd55b973b06383772107bbc85c098088f3e55084bfeff399d6589865f3e"},"schema_version":"1.0"},"canonical_sha256":"876eb69ccf9669bfe7518f7a6feced8e7f9a73f42a4c53e8dc8fe7e5364f37ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T01:04:59.797976Z","signature_b64":"6t0qIKZuLqpzsgh8pWJjRp270CepnQRn3gOrjrY0v3OXNuy9UhI+ySYzGlBmpDrZPcQ9cous1AjS7MYsQesxBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"876eb69ccf9669bfe7518f7a6feced8e7f9a73f42a4c53e8dc8fe7e5364f37ae","last_reissued_at":"2026-05-20T01:04:59.796999Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T01:04:59.796999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2510.09028","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":"2026-05-20T01:04:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NZTgtPN3pfrc9b5Cag5QbivZ2AQMck6KYzMAIPEsAKidH6/4I/QEwxLxLcdaqJNDSb02LW/xLYu4oCz5lAp7AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T20:43:05.155178Z"},"content_sha256":"93b36f716194159449043f38e2dd0754999da98b65060f5889f5af3fafdd89f3","schema_version":"1.0","event_id":"sha256:93b36f716194159449043f38e2dd0754999da98b65060f5889f5af3fafdd89f3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:Q5XLNHGPSZU37Z2RR55G73HNRZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Drift estimation for rough processes under small noise asymptotic : QMLE approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Arnaud Gloter (LaMME), nakahiro yoshida","submitted_at":"2025-10-10T05:59:08Z","abstract_excerpt":"We consider a process $X^\\ve$ solution of a stochastic Volterra equation with an unknown parameter $\\theta^\\star$ in the drift function. The Volterra kernel is singular near zero, exhibiting a behavior comparable to $K\\_0(u)=cu^{\\alpha-1} \\id{u>0}$ with $\\alpha \\in (1/2,1)$.It is assumed that the diffusion coefficient is proportional to $\\ve \\to 0$. Based on discrete observations, with a mesh size $h\\to0$, of the Volterra process, we construct a Quasi Maximum Likelihood Estimator. The main step is to assess the error arising in the reconstruction of the path of a semimartingale from the invers"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.09028","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/2510.09028/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T01:04:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+QfKJUnLGFj9a/qco6iqGgvgXWMGtrCkIfiX824Mx7yvJgvjHvikQvP1cUwjlJCcEEKcnD4/yBGd3TclP6qpCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T20:43:05.155571Z"},"content_sha256":"d3288936cefe3ad473804858a24b6f903a2a783057a31c21a0131b000970ba0d","schema_version":"1.0","event_id":"sha256:d3288936cefe3ad473804858a24b6f903a2a783057a31c21a0131b000970ba0d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q5XLNHGPSZU37Z2RR55G73HNRZ/bundle.json","state_url":"https://pith.science/pith/Q5XLNHGPSZU37Z2RR55G73HNRZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q5XLNHGPSZU37Z2RR55G73HNRZ/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":"2026-05-22T20:43:05Z","links":{"resolver":"https://pith.science/pith/Q5XLNHGPSZU37Z2RR55G73HNRZ","bundle":"https://pith.science/pith/Q5XLNHGPSZU37Z2RR55G73HNRZ/bundle.json","state":"https://pith.science/pith/Q5XLNHGPSZU37Z2RR55G73HNRZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q5XLNHGPSZU37Z2RR55G73HNRZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:Q5XLNHGPSZU37Z2RR55G73HNRZ","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":"268cedd55b973b06383772107bbc85c098088f3e55084bfeff399d6589865f3e","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-10-10T05:59:08Z","title_canon_sha256":"ce6e9d679043dc094ee4aab4c82c9feddb2b7feb8237f79dbff776ad4d06fb41"},"schema_version":"1.0","source":{"id":"2510.09028","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.09028","created_at":"2026-05-20T01:04:59Z"},{"alias_kind":"arxiv_version","alias_value":"2510.09028v2","created_at":"2026-05-20T01:04:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.09028","created_at":"2026-05-20T01:04:59Z"},{"alias_kind":"pith_short_12","alias_value":"Q5XLNHGPSZU3","created_at":"2026-05-20T01:04:59Z"},{"alias_kind":"pith_short_16","alias_value":"Q5XLNHGPSZU37Z2R","created_at":"2026-05-20T01:04:59Z"},{"alias_kind":"pith_short_8","alias_value":"Q5XLNHGP","created_at":"2026-05-20T01:04:59Z"}],"graph_snapshots":[{"event_id":"sha256:d3288936cefe3ad473804858a24b6f903a2a783057a31c21a0131b000970ba0d","target":"graph","created_at":"2026-05-20T01:04:59Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2510.09028/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a process $X^\\ve$ solution of a stochastic Volterra equation with an unknown parameter $\\theta^\\star$ in the drift function. The Volterra kernel is singular near zero, exhibiting a behavior comparable to $K\\_0(u)=cu^{\\alpha-1} \\id{u>0}$ with $\\alpha \\in (1/2,1)$.It is assumed that the diffusion coefficient is proportional to $\\ve \\to 0$. Based on discrete observations, with a mesh size $h\\to0$, of the Volterra process, we construct a Quasi Maximum Likelihood Estimator. The main step is to assess the error arising in the reconstruction of the path of a semimartingale from the invers","authors_text":"Arnaud Gloter (LaMME), nakahiro yoshida","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-10-10T05:59:08Z","title":"Drift estimation for rough processes under small noise asymptotic : QMLE approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.09028","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":"sha256:93b36f716194159449043f38e2dd0754999da98b65060f5889f5af3fafdd89f3","target":"record","created_at":"2026-05-20T01:04:59Z","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":"268cedd55b973b06383772107bbc85c098088f3e55084bfeff399d6589865f3e","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2025-10-10T05:59:08Z","title_canon_sha256":"ce6e9d679043dc094ee4aab4c82c9feddb2b7feb8237f79dbff776ad4d06fb41"},"schema_version":"1.0","source":{"id":"2510.09028","kind":"arxiv","version":2}},"canonical_sha256":"876eb69ccf9669bfe7518f7a6feced8e7f9a73f42a4c53e8dc8fe7e5364f37ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"876eb69ccf9669bfe7518f7a6feced8e7f9a73f42a4c53e8dc8fe7e5364f37ae","first_computed_at":"2026-05-20T01:04:59.796999Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T01:04:59.796999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6t0qIKZuLqpzsgh8pWJjRp270CepnQRn3gOrjrY0v3OXNuy9UhI+ySYzGlBmpDrZPcQ9cous1AjS7MYsQesxBA==","signature_status":"signed_v1","signed_at":"2026-05-20T01:04:59.797976Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.09028","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93b36f716194159449043f38e2dd0754999da98b65060f5889f5af3fafdd89f3","sha256:d3288936cefe3ad473804858a24b6f903a2a783057a31c21a0131b000970ba0d"],"state_sha256":"3c6c6ee39c45354865387e1e471346bf1e08ff583053ca503a21e192e3ad9814"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cmdtJdoSZNcIk4KbPqz5KjW+hCjZbtAwVRQtwR79pN5ej02cfm902MLOu5HOua6RtD6F7Y6X+/UyhOvlTTr2Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T20:43:05.157570Z","bundle_sha256":"442caf9ac4defdde9f818698ebc34c8461a4c9ce37be3a62fbbee58e36abdf10"}}