{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:STZ5NZSUQPVHBJT436EO67DUG6","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":"19ca460bb490cfc4b14849f12c991b47683f22d4398cf95d5b1905720791faba","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-03-06T21:17:42Z","title_canon_sha256":"cdeea8c324f0afbad42ebb96d91092dc4aa680000b9b12a05388ad659694c8c1"},"schema_version":"1.0","source":{"id":"1703.02112","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.02112","created_at":"2026-05-18T00:30:05Z"},{"alias_kind":"arxiv_version","alias_value":"1703.02112v2","created_at":"2026-05-18T00:30:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.02112","created_at":"2026-05-18T00:30:05Z"},{"alias_kind":"pith_short_12","alias_value":"STZ5NZSUQPVH","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"STZ5NZSUQPVHBJT4","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"STZ5NZSU","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:7b814c5137065c76b90bf520269b0866b41de45c650dc8defa40e9f5fe5c2a59","target":"graph","created_at":"2026-05-18T00:30:05Z","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":"Gaussian processes are a fundamental statistical tool used in a wide range of applications. In the spatio-temporal setting, several families of covariance functions exist to accommodate a wide variety of dependence structures arising in different applications. These parametric families can be restrictive and are insufficient in some situations. In contrast, process convolutions represent a flexible, interpretable approach to defining the covariance of a Gaussian process and have modest requirements to ensure validity. We introduce a generalization of the process convolution approach that emplo","authors_text":"Devin S. Johnson, Henry R. Scharf, John W. Durban, Mevin B. Hooten","cross_cats":["stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-03-06T21:17:42Z","title":"Process convolution approaches for modeling interacting trajectories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.02112","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:bb361b86d4a85bcfc2dc3c4384a4d01654124ed9a72a90e82aad6e1ce42d9ea2","target":"record","created_at":"2026-05-18T00:30:05Z","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":"19ca460bb490cfc4b14849f12c991b47683f22d4398cf95d5b1905720791faba","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-03-06T21:17:42Z","title_canon_sha256":"cdeea8c324f0afbad42ebb96d91092dc4aa680000b9b12a05388ad659694c8c1"},"schema_version":"1.0","source":{"id":"1703.02112","kind":"arxiv","version":2}},"canonical_sha256":"94f3d6e65483ea70a67cdf88ef7c7437a431f3bbee0b9b47a7170969d692cf99","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94f3d6e65483ea70a67cdf88ef7c7437a431f3bbee0b9b47a7170969d692cf99","first_computed_at":"2026-05-18T00:30:05.438277Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:05.438277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zmVDwkOA1x/8g3TruosbuOd+LKSxNaZJL2zsQeQzxOZSjYKZYZ/y+LkUaRGDg6gm8TJ/SlKimvYBg4hpguzCCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:05.438723Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.02112","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb361b86d4a85bcfc2dc3c4384a4d01654124ed9a72a90e82aad6e1ce42d9ea2","sha256:7b814c5137065c76b90bf520269b0866b41de45c650dc8defa40e9f5fe5c2a59"],"state_sha256":"5474ebac0ec70aac9777929a59de2a1760a88814cb767b7128363205781d8c10"}