{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:3ENUFDFOTNUGNUKZXMK53DX5N6","short_pith_number":"pith:3ENUFDFO","canonical_record":{"source":{"id":"1703.05189","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-03-15T14:47:02Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"d78b27be3a6f3aa6477c4c71f60f31abdfceef315786ab21baa573f132fba837","abstract_canon_sha256":"3a922b56e253714fd53f2a38abec805af7469df753d2de943036b58de1a25c01"},"schema_version":"1.0"},"canonical_sha256":"d91b428cae9b6866d159bb15dd8efd6fa89d21ada2a5ab515b93af185115821c","source":{"kind":"arxiv","id":"1703.05189","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.05189","created_at":"2026-05-18T00:48:34Z"},{"alias_kind":"arxiv_version","alias_value":"1703.05189v2","created_at":"2026-05-18T00:48:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.05189","created_at":"2026-05-18T00:48:34Z"},{"alias_kind":"pith_short_12","alias_value":"3ENUFDFOTNUG","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3ENUFDFOTNUGNUKZ","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3ENUFDFO","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:3ENUFDFOTNUGNUKZXMK53DX5N6","target":"record","payload":{"canonical_record":{"source":{"id":"1703.05189","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-03-15T14:47:02Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"d78b27be3a6f3aa6477c4c71f60f31abdfceef315786ab21baa573f132fba837","abstract_canon_sha256":"3a922b56e253714fd53f2a38abec805af7469df753d2de943036b58de1a25c01"},"schema_version":"1.0"},"canonical_sha256":"d91b428cae9b6866d159bb15dd8efd6fa89d21ada2a5ab515b93af185115821c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:34.694000Z","signature_b64":"9oP/vT6c+c0ppbdzqXfuqMwHyiTcB2AC6WUnbqz48VrlZ0scYhbT8KIRrq+wqE90URtmZXtEPEne3dPQw/1YDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d91b428cae9b6866d159bb15dd8efd6fa89d21ada2a5ab515b93af185115821c","last_reissued_at":"2026-05-18T00:48:34.693531Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:34.693531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.05189","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":"2026-05-18T00:48:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zDrVn75cy9/5Q4Ug/t5MiC+f6jqFWEwq0ku1TgjV/xeCtP6AUYxOvAACetCa2SfOmfs4sA74lzyxnUUEoLpEBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T05:18:24.646424Z"},"content_sha256":"1220cebb8aa8ace6714a84e7d674b12e71a257c524280d11f8ced53010114c35","schema_version":"1.0","event_id":"sha256:1220cebb8aa8ace6714a84e7d674b12e71a257c524280d11f8ced53010114c35"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:3ENUFDFOTNUGNUKZXMK53DX5N6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Student-t Process Quadratures for Filtering of Non-Linear Systems with Heavy-Tailed Noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"stat.ME","authors_text":"Filip Tronarp, Jakub Pr\\\"uher, Ond\\v{r}ej Straka, Simo S\\\"arkk\\\"a, Toni Karvonen","submitted_at":"2017-03-15T14:47:02Z","abstract_excerpt":"The aim of this article is to design a moment transformation for Student- t distributed random variables, which is able to account for the error in the numerically computed mean. We employ Student-t process quadrature, an instance of Bayesian quadrature, which allows us to treat the integral itself as a random variable whose variance provides information about the incurred integration error. Advantage of the Student- t process quadrature over the traditional Gaussian process quadrature, is that the integral variance depends also on the function values, allowing for a more robust modelling of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.05189","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":"2026-05-18T00:48:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qtc3RpbT6cHBHn2sNud0f26R2WoNkVVrz16Q+xyoTlp9ruhq1xzT08bFhjEFxq/Mzrm2sYybhMAwrwwwImG1Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T05:18:24.647152Z"},"content_sha256":"a199ead629ebd40b20fb51a04c619c27a8117217a2dd33e926a1a9089d03409c","schema_version":"1.0","event_id":"sha256:a199ead629ebd40b20fb51a04c619c27a8117217a2dd33e926a1a9089d03409c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3ENUFDFOTNUGNUKZXMK53DX5N6/bundle.json","state_url":"https://pith.science/pith/3ENUFDFOTNUGNUKZXMK53DX5N6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3ENUFDFOTNUGNUKZXMK53DX5N6/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":"2026-06-08T05:18:24Z","links":{"resolver":"https://pith.science/pith/3ENUFDFOTNUGNUKZXMK53DX5N6","bundle":"https://pith.science/pith/3ENUFDFOTNUGNUKZXMK53DX5N6/bundle.json","state":"https://pith.science/pith/3ENUFDFOTNUGNUKZXMK53DX5N6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3ENUFDFOTNUGNUKZXMK53DX5N6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3ENUFDFOTNUGNUKZXMK53DX5N6","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":"3a922b56e253714fd53f2a38abec805af7469df753d2de943036b58de1a25c01","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-03-15T14:47:02Z","title_canon_sha256":"d78b27be3a6f3aa6477c4c71f60f31abdfceef315786ab21baa573f132fba837"},"schema_version":"1.0","source":{"id":"1703.05189","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.05189","created_at":"2026-05-18T00:48:34Z"},{"alias_kind":"arxiv_version","alias_value":"1703.05189v2","created_at":"2026-05-18T00:48:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.05189","created_at":"2026-05-18T00:48:34Z"},{"alias_kind":"pith_short_12","alias_value":"3ENUFDFOTNUG","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3ENUFDFOTNUGNUKZ","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3ENUFDFO","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:a199ead629ebd40b20fb51a04c619c27a8117217a2dd33e926a1a9089d03409c","target":"graph","created_at":"2026-05-18T00:48:34Z","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":"The aim of this article is to design a moment transformation for Student- t distributed random variables, which is able to account for the error in the numerically computed mean. We employ Student-t process quadrature, an instance of Bayesian quadrature, which allows us to treat the integral itself as a random variable whose variance provides information about the incurred integration error. Advantage of the Student- t process quadrature over the traditional Gaussian process quadrature, is that the integral variance depends also on the function values, allowing for a more robust modelling of t","authors_text":"Filip Tronarp, Jakub Pr\\\"uher, Ond\\v{r}ej Straka, Simo S\\\"arkk\\\"a, Toni Karvonen","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-03-15T14:47:02Z","title":"Student-t Process Quadratures for Filtering of Non-Linear Systems with Heavy-Tailed Noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.05189","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":"sha256:1220cebb8aa8ace6714a84e7d674b12e71a257c524280d11f8ced53010114c35","target":"record","created_at":"2026-05-18T00:48:34Z","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":"3a922b56e253714fd53f2a38abec805af7469df753d2de943036b58de1a25c01","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-03-15T14:47:02Z","title_canon_sha256":"d78b27be3a6f3aa6477c4c71f60f31abdfceef315786ab21baa573f132fba837"},"schema_version":"1.0","source":{"id":"1703.05189","kind":"arxiv","version":2}},"canonical_sha256":"d91b428cae9b6866d159bb15dd8efd6fa89d21ada2a5ab515b93af185115821c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d91b428cae9b6866d159bb15dd8efd6fa89d21ada2a5ab515b93af185115821c","first_computed_at":"2026-05-18T00:48:34.693531Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:34.693531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9oP/vT6c+c0ppbdzqXfuqMwHyiTcB2AC6WUnbqz48VrlZ0scYhbT8KIRrq+wqE90URtmZXtEPEne3dPQw/1YDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:34.694000Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.05189","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1220cebb8aa8ace6714a84e7d674b12e71a257c524280d11f8ced53010114c35","sha256:a199ead629ebd40b20fb51a04c619c27a8117217a2dd33e926a1a9089d03409c"],"state_sha256":"c1eeb7643ba2236acd5174ce9e04bd5d83de94514bf48d24f9c18dab51804688"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WY2xKwftLiNtSZDPsqHau8Yk7OKm7dRDm3ND1A6AB9MXyc/BwQjJtH0pb4IJtdDEfVQVHN7NUopjnhqzjEr3Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T05:18:24.650032Z","bundle_sha256":"abd577982376880f1a60fa807e177441237fe5aeb28674189846eba7847d64bc"}}