{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:564WDWEKIVE2SJY7XYBM5KA5ZG","short_pith_number":"pith:564WDWEK","canonical_record":{"source":{"id":"1607.06921","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-07-23T11:45:38Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"5b59cf2828f0290dab0ed69f8c181f9875b205017ad99918507ee6d2ed42ebdb","abstract_canon_sha256":"1dfaba765288679e421fbafd268a4a46107c50f0736a33b6c24d29eb18ffd39c"},"schema_version":"1.0"},"canonical_sha256":"efb961d88a4549a9271fbe02cea81dc99a63f063b1b2dafcce0979840308a7a1","source":{"kind":"arxiv","id":"1607.06921","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06921","created_at":"2026-05-18T00:30:28Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06921v4","created_at":"2026-05-18T00:30:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06921","created_at":"2026-05-18T00:30:28Z"},{"alias_kind":"pith_short_12","alias_value":"564WDWEKIVE2","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"564WDWEKIVE2SJY7","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"564WDWEK","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:564WDWEKIVE2SJY7XYBM5KA5ZG","target":"record","payload":{"canonical_record":{"source":{"id":"1607.06921","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-07-23T11:45:38Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"5b59cf2828f0290dab0ed69f8c181f9875b205017ad99918507ee6d2ed42ebdb","abstract_canon_sha256":"1dfaba765288679e421fbafd268a4a46107c50f0736a33b6c24d29eb18ffd39c"},"schema_version":"1.0"},"canonical_sha256":"efb961d88a4549a9271fbe02cea81dc99a63f063b1b2dafcce0979840308a7a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:28.763999Z","signature_b64":"YBNX/HUtxoSbTI6FBD8FSj1WB6nE8wPMmip6AQ8IltMZsNtLE2UuJWfEZMYWiixMMVZgbfBVb1tkEFrw2KwJBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"efb961d88a4549a9271fbe02cea81dc99a63f063b1b2dafcce0979840308a7a1","last_reissued_at":"2026-05-18T00:30:28.763347Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:28.763347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.06921","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:30:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yKO2ipwMejjr/z35LZvkHSmOby8Ug7O3SMs2WMkzZUs3v9nMqTny/J9CsQeid7M99P/SsBEH9yqYrRGf4BOeBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T15:35:13.926447Z"},"content_sha256":"22ac201d2e5f56f8dcb2c5b7eec1637b222405e8c3345a6a45ab06bd043552bd","schema_version":"1.0","event_id":"sha256:22ac201d2e5f56f8dcb2c5b7eec1637b222405e8c3345a6a45ab06bd043552bd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:564WDWEKIVE2SJY7XYBM5KA5ZG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Estimation and Prediction using generalized Wendland Covariance Functions under fixed domain asymptotics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"E. Porcu, M. Bevilacqua, R. Furrer, T. Faouzi","submitted_at":"2016-07-23T11:45:38Z","abstract_excerpt":"We study estimation and prediction of Gaussian random fields with covariance models belonging to the generalized Wendland (GW) class, under fixed domain asymptotics. As the Mat\\'ern case, this class allows a continuous parameterization of smoothness of the underlying Gaussian random field, being additionally compactly supported. The paper is divided into two parts: First, we characterize the equivalence of two Gaussian measures with GW covariance function, and we provide sufficient conditions for the equivalence of two Gaussian measures with Mat\\'ern and GW covariance functions. We elucidate t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06921","kind":"arxiv","version":4},"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":"2026-05-18T00:30:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ig7TXYdhHlHd+vuOPdDVy/T35gJZ/yRWwnCyEvbYtSDNSCx3jDNJ8+/8ykBOanBzhIhfZnEXZPR1LhmIojQcCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T15:35:13.927067Z"},"content_sha256":"14c0c247a210d57a96303565fbe1187d379a4eca7783c7d32f9c531dc45e36cc","schema_version":"1.0","event_id":"sha256:14c0c247a210d57a96303565fbe1187d379a4eca7783c7d32f9c531dc45e36cc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/564WDWEKIVE2SJY7XYBM5KA5ZG/bundle.json","state_url":"https://pith.science/pith/564WDWEKIVE2SJY7XYBM5KA5ZG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/564WDWEKIVE2SJY7XYBM5KA5ZG/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":"2026-06-11T15:35:13Z","links":{"resolver":"https://pith.science/pith/564WDWEKIVE2SJY7XYBM5KA5ZG","bundle":"https://pith.science/pith/564WDWEKIVE2SJY7XYBM5KA5ZG/bundle.json","state":"https://pith.science/pith/564WDWEKIVE2SJY7XYBM5KA5ZG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/564WDWEKIVE2SJY7XYBM5KA5ZG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:564WDWEKIVE2SJY7XYBM5KA5ZG","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":"1dfaba765288679e421fbafd268a4a46107c50f0736a33b6c24d29eb18ffd39c","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-07-23T11:45:38Z","title_canon_sha256":"5b59cf2828f0290dab0ed69f8c181f9875b205017ad99918507ee6d2ed42ebdb"},"schema_version":"1.0","source":{"id":"1607.06921","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06921","created_at":"2026-05-18T00:30:28Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06921v4","created_at":"2026-05-18T00:30:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06921","created_at":"2026-05-18T00:30:28Z"},{"alias_kind":"pith_short_12","alias_value":"564WDWEKIVE2","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"564WDWEKIVE2SJY7","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"564WDWEK","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:14c0c247a210d57a96303565fbe1187d379a4eca7783c7d32f9c531dc45e36cc","target":"graph","created_at":"2026-05-18T00:30:28Z","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":"We study estimation and prediction of Gaussian random fields with covariance models belonging to the generalized Wendland (GW) class, under fixed domain asymptotics. As the Mat\\'ern case, this class allows a continuous parameterization of smoothness of the underlying Gaussian random field, being additionally compactly supported. The paper is divided into two parts: First, we characterize the equivalence of two Gaussian measures with GW covariance function, and we provide sufficient conditions for the equivalence of two Gaussian measures with Mat\\'ern and GW covariance functions. We elucidate t","authors_text":"E. Porcu, M. Bevilacqua, R. Furrer, T. Faouzi","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-07-23T11:45:38Z","title":"Estimation and Prediction using generalized Wendland Covariance Functions under fixed domain asymptotics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06921","kind":"arxiv","version":4},"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":"sha256:22ac201d2e5f56f8dcb2c5b7eec1637b222405e8c3345a6a45ab06bd043552bd","target":"record","created_at":"2026-05-18T00:30:28Z","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":"1dfaba765288679e421fbafd268a4a46107c50f0736a33b6c24d29eb18ffd39c","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-07-23T11:45:38Z","title_canon_sha256":"5b59cf2828f0290dab0ed69f8c181f9875b205017ad99918507ee6d2ed42ebdb"},"schema_version":"1.0","source":{"id":"1607.06921","kind":"arxiv","version":4}},"canonical_sha256":"efb961d88a4549a9271fbe02cea81dc99a63f063b1b2dafcce0979840308a7a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"efb961d88a4549a9271fbe02cea81dc99a63f063b1b2dafcce0979840308a7a1","first_computed_at":"2026-05-18T00:30:28.763347Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:28.763347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YBNX/HUtxoSbTI6FBD8FSj1WB6nE8wPMmip6AQ8IltMZsNtLE2UuJWfEZMYWiixMMVZgbfBVb1tkEFrw2KwJBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:28.763999Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.06921","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22ac201d2e5f56f8dcb2c5b7eec1637b222405e8c3345a6a45ab06bd043552bd","sha256:14c0c247a210d57a96303565fbe1187d379a4eca7783c7d32f9c531dc45e36cc"],"state_sha256":"03d996d6cdbc72f44d8064c9c2fdf43cdf3034d4c42b1e6f7155d010a8733ec0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iIBToQbQiqEuqjgzDK7x6apgpVfQJARAx2dRXnWi36C3LIqxlvKvlPEZBI/t+r5ZKUObUyr2J5q1BP3tqzcXCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T15:35:13.930984Z","bundle_sha256":"2ea320057c19b49e12716f27cc243f69faf5e6ba3bada217535473f7589571dc"}}