{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:BJWPNOPQBMTBMAOT2LWMPN2ZA6","short_pith_number":"pith:BJWPNOPQ","canonical_record":{"source":{"id":"1206.0622","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-06-04T13:52:19Z","cross_cats_sorted":[],"title_canon_sha256":"9915ecce083a51d41b5e43df7761f0f48743bed2085142c723f3021a981cad37","abstract_canon_sha256":"e005370a2ca637d9d5c2b86b18affba45cd7622747d6d25ef644c10fde222b5d"},"schema_version":"1.0"},"canonical_sha256":"0a6cf6b9f00b261601d3d2ecc7b7590783aaa566a2b1a3e30070e764f32e5066","source":{"kind":"arxiv","id":"1206.0622","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.0622","created_at":"2026-05-18T03:53:33Z"},{"alias_kind":"arxiv_version","alias_value":"1206.0622v2","created_at":"2026-05-18T03:53:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0622","created_at":"2026-05-18T03:53:33Z"},{"alias_kind":"pith_short_12","alias_value":"BJWPNOPQBMTB","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"BJWPNOPQBMTBMAOT","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"BJWPNOPQ","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:BJWPNOPQBMTBMAOT2LWMPN2ZA6","target":"record","payload":{"canonical_record":{"source":{"id":"1206.0622","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-06-04T13:52:19Z","cross_cats_sorted":[],"title_canon_sha256":"9915ecce083a51d41b5e43df7761f0f48743bed2085142c723f3021a981cad37","abstract_canon_sha256":"e005370a2ca637d9d5c2b86b18affba45cd7622747d6d25ef644c10fde222b5d"},"schema_version":"1.0"},"canonical_sha256":"0a6cf6b9f00b261601d3d2ecc7b7590783aaa566a2b1a3e30070e764f32e5066","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:33.336913Z","signature_b64":"84t3umTjT5DCwduFkPI8tAk60ZSZ81MhHZqpdIm1x7gAnt2rgjdHjFN8KDdUyqIe2rsm4JdjSEOmcOxIDIfaCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a6cf6b9f00b261601d3d2ecc7b7590783aaa566a2b1a3e30070e764f32e5066","last_reissued_at":"2026-05-18T03:53:33.336093Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:33.336093Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.0622","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":"2026-05-18T03:53:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h6V8rLLtkFk3PwUUSU9LO3IsWtYo/iiYgZIuUSLjJj4lSN7SYSk0i1ltTUGAxG//BECfRYWvP7x77iDAQqruCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:59:05.403787Z"},"content_sha256":"12e10b53a7ac0dcb928c9c742456a0e0a52f34fd8abca249e4c3a8728f9cfbad","schema_version":"1.0","event_id":"sha256:12e10b53a7ac0dcb928c9c742456a0e0a52f34fd8abca249e4c3a8728f9cfbad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:BJWPNOPQBMTBMAOT2LWMPN2ZA6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spatial Mat\\'ern fields driven by non-Gaussian noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"David Bolin","submitted_at":"2012-06-04T13:52:19Z","abstract_excerpt":"The article studies non-Gaussian extensions of a recently discovered link between certain Gaussian random fields, expressed as solutions to stochastic partial differential equations (SPDEs), and Gaussian Markov random fields. The focus is on non-Gaussian random fields with Mat\\'ern covariance functions, and in particular we show how the SPDE formulation of a Laplace moving average model can be used to obtain an efficient simulation method as well as an accurate parameter estimation technique for the model. This should be seen as a demonstration of how these techniques can be used, and generali"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0622","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":"2026-05-18T03:53:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6skr126IaDX0QPTKMuyUbrmVznBK6W1cMABsoHwNQlNjE9QyqDpBHvCivS1Hw0TigxGwuh5qp/Bo9SaC0yjdAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:59:05.404140Z"},"content_sha256":"9c1eb8bd17f4acd860e0500707453d85f51489ec7d29bf2be869918b6dd65e56","schema_version":"1.0","event_id":"sha256:9c1eb8bd17f4acd860e0500707453d85f51489ec7d29bf2be869918b6dd65e56"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BJWPNOPQBMTBMAOT2LWMPN2ZA6/bundle.json","state_url":"https://pith.science/pith/BJWPNOPQBMTBMAOT2LWMPN2ZA6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BJWPNOPQBMTBMAOT2LWMPN2ZA6/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":"2026-06-02T17:59:05Z","links":{"resolver":"https://pith.science/pith/BJWPNOPQBMTBMAOT2LWMPN2ZA6","bundle":"https://pith.science/pith/BJWPNOPQBMTBMAOT2LWMPN2ZA6/bundle.json","state":"https://pith.science/pith/BJWPNOPQBMTBMAOT2LWMPN2ZA6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BJWPNOPQBMTBMAOT2LWMPN2ZA6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:BJWPNOPQBMTBMAOT2LWMPN2ZA6","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":"e005370a2ca637d9d5c2b86b18affba45cd7622747d6d25ef644c10fde222b5d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-06-04T13:52:19Z","title_canon_sha256":"9915ecce083a51d41b5e43df7761f0f48743bed2085142c723f3021a981cad37"},"schema_version":"1.0","source":{"id":"1206.0622","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.0622","created_at":"2026-05-18T03:53:33Z"},{"alias_kind":"arxiv_version","alias_value":"1206.0622v2","created_at":"2026-05-18T03:53:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0622","created_at":"2026-05-18T03:53:33Z"},{"alias_kind":"pith_short_12","alias_value":"BJWPNOPQBMTB","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"BJWPNOPQBMTBMAOT","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"BJWPNOPQ","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:9c1eb8bd17f4acd860e0500707453d85f51489ec7d29bf2be869918b6dd65e56","target":"graph","created_at":"2026-05-18T03:53:33Z","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 article studies non-Gaussian extensions of a recently discovered link between certain Gaussian random fields, expressed as solutions to stochastic partial differential equations (SPDEs), and Gaussian Markov random fields. The focus is on non-Gaussian random fields with Mat\\'ern covariance functions, and in particular we show how the SPDE formulation of a Laplace moving average model can be used to obtain an efficient simulation method as well as an accurate parameter estimation technique for the model. This should be seen as a demonstration of how these techniques can be used, and generali","authors_text":"David Bolin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-06-04T13:52:19Z","title":"Spatial Mat\\'ern fields driven by non-Gaussian noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0622","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":"sha256:12e10b53a7ac0dcb928c9c742456a0e0a52f34fd8abca249e4c3a8728f9cfbad","target":"record","created_at":"2026-05-18T03:53:33Z","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":"e005370a2ca637d9d5c2b86b18affba45cd7622747d6d25ef644c10fde222b5d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-06-04T13:52:19Z","title_canon_sha256":"9915ecce083a51d41b5e43df7761f0f48743bed2085142c723f3021a981cad37"},"schema_version":"1.0","source":{"id":"1206.0622","kind":"arxiv","version":2}},"canonical_sha256":"0a6cf6b9f00b261601d3d2ecc7b7590783aaa566a2b1a3e30070e764f32e5066","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a6cf6b9f00b261601d3d2ecc7b7590783aaa566a2b1a3e30070e764f32e5066","first_computed_at":"2026-05-18T03:53:33.336093Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:33.336093Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"84t3umTjT5DCwduFkPI8tAk60ZSZ81MhHZqpdIm1x7gAnt2rgjdHjFN8KDdUyqIe2rsm4JdjSEOmcOxIDIfaCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:33.336913Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.0622","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12e10b53a7ac0dcb928c9c742456a0e0a52f34fd8abca249e4c3a8728f9cfbad","sha256:9c1eb8bd17f4acd860e0500707453d85f51489ec7d29bf2be869918b6dd65e56"],"state_sha256":"2b30d68b34774d436252520f98538007654e8624f2f9fba6bfd6cac186fd5ea5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k7hce16sZA36ZVgaaDTWa7bpGS0KW5j2p75IBedE5UP4rkQ5jin7oNZMIZbnwJI8seyR9KdIfAFtAwbXurZlDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T17:59:05.406084Z","bundle_sha256":"bc7d84adec36bd52af9b2d81ebccc9559e9f4627b594b97faae28949ac50dbd4"}}