{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:XIAYZJL2774OBI7JADK3TSCRAK","short_pith_number":"pith:XIAYZJL2","canonical_record":{"source":{"id":"1803.09479","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-03-26T09:34:30Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"c6c56e4e08c1eb10e60a1ba619399cc73cabe12388ece7a44d952944953dc0a4","abstract_canon_sha256":"8cb80a9dac463fa042344e9c8f6e5f6530e3ded54e726668829e2c5d98a967ea"},"schema_version":"1.0"},"canonical_sha256":"ba018ca57afff8e0a3e900d5b9c851029e67955f244ecdf6dc9dff5d7961cf56","source":{"kind":"arxiv","id":"1803.09479","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.09479","created_at":"2026-05-18T00:20:11Z"},{"alias_kind":"arxiv_version","alias_value":"1803.09479v1","created_at":"2026-05-18T00:20:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.09479","created_at":"2026-05-18T00:20:11Z"},{"alias_kind":"pith_short_12","alias_value":"XIAYZJL2774O","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XIAYZJL2774OBI7J","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XIAYZJL2","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:XIAYZJL2774OBI7JADK3TSCRAK","target":"record","payload":{"canonical_record":{"source":{"id":"1803.09479","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-03-26T09:34:30Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"c6c56e4e08c1eb10e60a1ba619399cc73cabe12388ece7a44d952944953dc0a4","abstract_canon_sha256":"8cb80a9dac463fa042344e9c8f6e5f6530e3ded54e726668829e2c5d98a967ea"},"schema_version":"1.0"},"canonical_sha256":"ba018ca57afff8e0a3e900d5b9c851029e67955f244ecdf6dc9dff5d7961cf56","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:11.430148Z","signature_b64":"BsAL0WlJugGmVqCSkusaWtnxQW2cFqQ/Vece7lphh6EavwNLdSxOxZuaRuTSdoS67Oa8nN0BJtQKM2tmA3xaAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba018ca57afff8e0a3e900d5b9c851029e67955f244ecdf6dc9dff5d7961cf56","last_reissued_at":"2026-05-18T00:20:11.429360Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:11.429360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.09479","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":"2026-05-18T00:20:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hke9VIi9F8Zl+5UERtxakY5Y36iJ0gvROlqUTJ+RaRCE/c7sDK8Wpdb4MSj867Qhu1sWy0ez8YnCKYWSV8dnBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T09:52:21.444572Z"},"content_sha256":"4f90a72ab68d277163ca76bf67b2a0e94ca6760d2b62186968eeed32871eabdd","schema_version":"1.0","event_id":"sha256:4f90a72ab68d277163ca76bf67b2a0e94ca6760d2b62186968eeed32871eabdd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:XIAYZJL2774OBI7JADK3TSCRAK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Interpolation error of misspecified Gaussian process regression","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"A. Zaytsev, D. Ermilov, E. Romanenkova","submitted_at":"2018-03-26T09:34:30Z","abstract_excerpt":"An interpolation error is an integral of the squared error of a regression model over a domain of interest. We consider the interpolation error for the case of misspecified Gaussian process regression: used covariance function differs from the true one. We derive the interpolation error for an infinite grid design of experiments. In particular, we show that for Matern 1/2 covariance function poor estimation of parameters only slightly affects the quality of interpolation. Then we proceed to numerical experiments that consider the misspecification for the most common covariance functions includ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.09479","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":"2026-05-18T00:20:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0nKHICvduSPVHZyzyDGOgFzP/6YxZj7at3Gm1Bi2pluuVeTeLqosJ3afpvSQHUAc9ihkJA83lu6LEpib9K5JDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T09:52:21.444910Z"},"content_sha256":"e2114ebb84e7dd743546985a8ed0dc126ad3fdc61d1fae95e1128d411088aef4","schema_version":"1.0","event_id":"sha256:e2114ebb84e7dd743546985a8ed0dc126ad3fdc61d1fae95e1128d411088aef4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XIAYZJL2774OBI7JADK3TSCRAK/bundle.json","state_url":"https://pith.science/pith/XIAYZJL2774OBI7JADK3TSCRAK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XIAYZJL2774OBI7JADK3TSCRAK/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":"2026-07-04T09:52:21Z","links":{"resolver":"https://pith.science/pith/XIAYZJL2774OBI7JADK3TSCRAK","bundle":"https://pith.science/pith/XIAYZJL2774OBI7JADK3TSCRAK/bundle.json","state":"https://pith.science/pith/XIAYZJL2774OBI7JADK3TSCRAK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XIAYZJL2774OBI7JADK3TSCRAK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:XIAYZJL2774OBI7JADK3TSCRAK","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":"8cb80a9dac463fa042344e9c8f6e5f6530e3ded54e726668829e2c5d98a967ea","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-03-26T09:34:30Z","title_canon_sha256":"c6c56e4e08c1eb10e60a1ba619399cc73cabe12388ece7a44d952944953dc0a4"},"schema_version":"1.0","source":{"id":"1803.09479","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.09479","created_at":"2026-05-18T00:20:11Z"},{"alias_kind":"arxiv_version","alias_value":"1803.09479v1","created_at":"2026-05-18T00:20:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.09479","created_at":"2026-05-18T00:20:11Z"},{"alias_kind":"pith_short_12","alias_value":"XIAYZJL2774O","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XIAYZJL2774OBI7J","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XIAYZJL2","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:e2114ebb84e7dd743546985a8ed0dc126ad3fdc61d1fae95e1128d411088aef4","target":"graph","created_at":"2026-05-18T00:20:11Z","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":"An interpolation error is an integral of the squared error of a regression model over a domain of interest. We consider the interpolation error for the case of misspecified Gaussian process regression: used covariance function differs from the true one. We derive the interpolation error for an infinite grid design of experiments. In particular, we show that for Matern 1/2 covariance function poor estimation of parameters only slightly affects the quality of interpolation. Then we proceed to numerical experiments that consider the misspecification for the most common covariance functions includ","authors_text":"A. Zaytsev, D. Ermilov, E. Romanenkova","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-03-26T09:34:30Z","title":"Interpolation error of misspecified Gaussian process regression"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.09479","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":"sha256:4f90a72ab68d277163ca76bf67b2a0e94ca6760d2b62186968eeed32871eabdd","target":"record","created_at":"2026-05-18T00:20:11Z","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":"8cb80a9dac463fa042344e9c8f6e5f6530e3ded54e726668829e2c5d98a967ea","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-03-26T09:34:30Z","title_canon_sha256":"c6c56e4e08c1eb10e60a1ba619399cc73cabe12388ece7a44d952944953dc0a4"},"schema_version":"1.0","source":{"id":"1803.09479","kind":"arxiv","version":1}},"canonical_sha256":"ba018ca57afff8e0a3e900d5b9c851029e67955f244ecdf6dc9dff5d7961cf56","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba018ca57afff8e0a3e900d5b9c851029e67955f244ecdf6dc9dff5d7961cf56","first_computed_at":"2026-05-18T00:20:11.429360Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:11.429360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BsAL0WlJugGmVqCSkusaWtnxQW2cFqQ/Vece7lphh6EavwNLdSxOxZuaRuTSdoS67Oa8nN0BJtQKM2tmA3xaAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:11.430148Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.09479","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f90a72ab68d277163ca76bf67b2a0e94ca6760d2b62186968eeed32871eabdd","sha256:e2114ebb84e7dd743546985a8ed0dc126ad3fdc61d1fae95e1128d411088aef4"],"state_sha256":"5454e214313154475aaee12d86954e1770df2ee583161d218976dcd060924ff0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ulBUwjRPDyhGACC2fHBu2WssrJpToOhBkH6opPAKLryge1MIeZ3QVL0GdZbgM79QoqFcnx903EfUzVcOES93Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T09:52:21.446922Z","bundle_sha256":"5e66b00a4bc2b8768dd9d34325e9bf873f0043c280f64a36be36f01df669c566"}}