{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:5M7YBF6IK5UHGESNDQG7DNMWUH","short_pith_number":"pith:5M7YBF6I","canonical_record":{"source":{"id":"1104.0554","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-04-04T12:57:27Z","cross_cats_sorted":["math.PR","math.SP","stat.TH"],"title_canon_sha256":"066725ec6531674f12dd06a2f12eff64492de52f345cce3e28baf0fb62a06d2a","abstract_canon_sha256":"0796932267b97e9c11e87ea134c199cad3607b25c43d9ee7788e8c4fdca28a7b"},"schema_version":"1.0"},"canonical_sha256":"eb3f8097c8576873124d1c0df1b596a1f3108ab5499481f21c1712d97880b124","source":{"kind":"arxiv","id":"1104.0554","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.0554","created_at":"2026-05-18T03:36:05Z"},{"alias_kind":"arxiv_version","alias_value":"1104.0554v1","created_at":"2026-05-18T03:36:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0554","created_at":"2026-05-18T03:36:05Z"},{"alias_kind":"pith_short_12","alias_value":"5M7YBF6IK5UH","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5M7YBF6IK5UHGESN","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5M7YBF6I","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:5M7YBF6IK5UHGESNDQG7DNMWUH","target":"record","payload":{"canonical_record":{"source":{"id":"1104.0554","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-04-04T12:57:27Z","cross_cats_sorted":["math.PR","math.SP","stat.TH"],"title_canon_sha256":"066725ec6531674f12dd06a2f12eff64492de52f345cce3e28baf0fb62a06d2a","abstract_canon_sha256":"0796932267b97e9c11e87ea134c199cad3607b25c43d9ee7788e8c4fdca28a7b"},"schema_version":"1.0"},"canonical_sha256":"eb3f8097c8576873124d1c0df1b596a1f3108ab5499481f21c1712d97880b124","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:05.006566Z","signature_b64":"l++wpH0enxRHkkpb+RFDuPIFnyk2dQ354boC17/1DcghpjZpyi+VFf/xzjp5eJheIhgN1LgyHmPYFf7K4na/Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb3f8097c8576873124d1c0df1b596a1f3108ab5499481f21c1712d97880b124","last_reissued_at":"2026-05-18T03:36:05.005562Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:05.005562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.0554","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:36:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YFesUzOM/ekJCfOiHRMJUiQhhhQs1ECanjz8mDU165AdYY8Vc1HxJjsCBHj8m3Y3huwEGYeoncHBc8F4apE6Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T14:07:02.358979Z"},"content_sha256":"20bd60c550af045029bf8fad8b88b44bd09da37ceee244bb9505e9c06602893d","schema_version":"1.0","event_id":"sha256:20bd60c550af045029bf8fad8b88b44bd09da37ceee244bb9505e9c06602893d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:5M7YBF6IK5UHGESNDQG7DNMWUH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"High frequency sampling of a continuous-time ARMA process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","math.SP","stat.TH"],"primary_cat":"math.ST","authors_text":"Claudia Kl\\\"uppelberg, Peter J. Brockwell, Vincenzo Ferrazzano","submitted_at":"2011-04-04T12:57:27Z","abstract_excerpt":"Continuous-time autoregressive moving average (CARMA) processes have recently been used widely in the modeling of non-uniformly spaced data and as a tool for dealing with high-frequency data of the form $Y_{n\\Delta}, n=0,1,2,...$, where $\\Delta$ is small and positive. Such data occur in many fields of application, particularly in finance and the study of turbulence. This paper is concerned with the characteristics of the process $(Y_{n\\Delta})_{n\\in\\bbz}$, when $\\Delta$ is small and the underlying continuous-time process $(Y_t)_{t\\in\\bbr}$ is a specified CARMA process."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0554","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:36:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aBWJNKedJXEcKkPNoacqs0WTWtktyiTJKwzxKTsxpuipAWKD60z2BXyC1/5Kp+Th0FpuQOeW8naHSQAcICn2Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T14:07:02.359682Z"},"content_sha256":"46da90f7111e442929cfabd81d686c62d1426876472c145351b74ce97258a69b","schema_version":"1.0","event_id":"sha256:46da90f7111e442929cfabd81d686c62d1426876472c145351b74ce97258a69b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5M7YBF6IK5UHGESNDQG7DNMWUH/bundle.json","state_url":"https://pith.science/pith/5M7YBF6IK5UHGESNDQG7DNMWUH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5M7YBF6IK5UHGESNDQG7DNMWUH/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":"2026-05-31T14:07:02Z","links":{"resolver":"https://pith.science/pith/5M7YBF6IK5UHGESNDQG7DNMWUH","bundle":"https://pith.science/pith/5M7YBF6IK5UHGESNDQG7DNMWUH/bundle.json","state":"https://pith.science/pith/5M7YBF6IK5UHGESNDQG7DNMWUH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5M7YBF6IK5UHGESNDQG7DNMWUH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5M7YBF6IK5UHGESNDQG7DNMWUH","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":"0796932267b97e9c11e87ea134c199cad3607b25c43d9ee7788e8c4fdca28a7b","cross_cats_sorted":["math.PR","math.SP","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-04-04T12:57:27Z","title_canon_sha256":"066725ec6531674f12dd06a2f12eff64492de52f345cce3e28baf0fb62a06d2a"},"schema_version":"1.0","source":{"id":"1104.0554","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.0554","created_at":"2026-05-18T03:36:05Z"},{"alias_kind":"arxiv_version","alias_value":"1104.0554v1","created_at":"2026-05-18T03:36:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0554","created_at":"2026-05-18T03:36:05Z"},{"alias_kind":"pith_short_12","alias_value":"5M7YBF6IK5UH","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5M7YBF6IK5UHGESN","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5M7YBF6I","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:46da90f7111e442929cfabd81d686c62d1426876472c145351b74ce97258a69b","target":"graph","created_at":"2026-05-18T03:36:05Z","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":"Continuous-time autoregressive moving average (CARMA) processes have recently been used widely in the modeling of non-uniformly spaced data and as a tool for dealing with high-frequency data of the form $Y_{n\\Delta}, n=0,1,2,...$, where $\\Delta$ is small and positive. Such data occur in many fields of application, particularly in finance and the study of turbulence. This paper is concerned with the characteristics of the process $(Y_{n\\Delta})_{n\\in\\bbz}$, when $\\Delta$ is small and the underlying continuous-time process $(Y_t)_{t\\in\\bbr}$ is a specified CARMA process.","authors_text":"Claudia Kl\\\"uppelberg, Peter J. Brockwell, Vincenzo Ferrazzano","cross_cats":["math.PR","math.SP","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-04-04T12:57:27Z","title":"High frequency sampling of a continuous-time ARMA process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0554","kind":"arxiv","version":1},"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":"sha256:20bd60c550af045029bf8fad8b88b44bd09da37ceee244bb9505e9c06602893d","target":"record","created_at":"2026-05-18T03:36:05Z","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":"0796932267b97e9c11e87ea134c199cad3607b25c43d9ee7788e8c4fdca28a7b","cross_cats_sorted":["math.PR","math.SP","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-04-04T12:57:27Z","title_canon_sha256":"066725ec6531674f12dd06a2f12eff64492de52f345cce3e28baf0fb62a06d2a"},"schema_version":"1.0","source":{"id":"1104.0554","kind":"arxiv","version":1}},"canonical_sha256":"eb3f8097c8576873124d1c0df1b596a1f3108ab5499481f21c1712d97880b124","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb3f8097c8576873124d1c0df1b596a1f3108ab5499481f21c1712d97880b124","first_computed_at":"2026-05-18T03:36:05.005562Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:05.005562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l++wpH0enxRHkkpb+RFDuPIFnyk2dQ354boC17/1DcghpjZpyi+VFf/xzjp5eJheIhgN1LgyHmPYFf7K4na/Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:05.006566Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.0554","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20bd60c550af045029bf8fad8b88b44bd09da37ceee244bb9505e9c06602893d","sha256:46da90f7111e442929cfabd81d686c62d1426876472c145351b74ce97258a69b"],"state_sha256":"50db897cb9d0b5b31369a40fc46f167256147c9b8f1e45597e44626715c09942"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rRVVIUEfjLz5l+yQl2pI5TehqQnlEoa0bwZQUp/UOg4U7MoYmFwz02+BuKiV7rKwSdshdY83bMbk92hz1fnbDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T14:07:02.363592Z","bundle_sha256":"2b7976ccfe86cde9ab0767f6e3bbb53e483bcdcb1069e9e38f3190e2c26f2b3e"}}