{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:LIMIENN635J75CNZ6WPX7WZ6EQ","short_pith_number":"pith:LIMIENN6","canonical_record":{"source":{"id":"1211.3946","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-11-16T16:31:27Z","cross_cats_sorted":["stat.CO"],"title_canon_sha256":"45dc4055e0d3a4f73a2d08cf2d23e70a838d4663c36c8997004e5bf7fb8f2035","abstract_canon_sha256":"35683418b8a501fad8eaaeeba2e427a0ac109ec8ed245b2805fa76bf244b612a"},"schema_version":"1.0"},"canonical_sha256":"5a188235bedf53fe89b9f59f7fdb3e2414f3363df0c5232b4642c8721b046e65","source":{"kind":"arxiv","id":"1211.3946","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.3946","created_at":"2026-05-18T03:40:37Z"},{"alias_kind":"arxiv_version","alias_value":"1211.3946v1","created_at":"2026-05-18T03:40:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3946","created_at":"2026-05-18T03:40:37Z"},{"alias_kind":"pith_short_12","alias_value":"LIMIENN635J7","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LIMIENN635J75CNZ","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LIMIENN6","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:LIMIENN635J75CNZ6WPX7WZ6EQ","target":"record","payload":{"canonical_record":{"source":{"id":"1211.3946","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-11-16T16:31:27Z","cross_cats_sorted":["stat.CO"],"title_canon_sha256":"45dc4055e0d3a4f73a2d08cf2d23e70a838d4663c36c8997004e5bf7fb8f2035","abstract_canon_sha256":"35683418b8a501fad8eaaeeba2e427a0ac109ec8ed245b2805fa76bf244b612a"},"schema_version":"1.0"},"canonical_sha256":"5a188235bedf53fe89b9f59f7fdb3e2414f3363df0c5232b4642c8721b046e65","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:40:37.500638Z","signature_b64":"yCTSi+5Zq4dnqv/3L20hyn6851BYBqks4zoPCotgaWjleiv/2STMCEgdFw4K3lRylzRR34XNCqugQWkK0KW/BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a188235bedf53fe89b9f59f7fdb3e2414f3363df0c5232b4642c8721b046e65","last_reissued_at":"2026-05-18T03:40:37.499907Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:40:37.499907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.3946","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":"2026-05-18T03:40:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jRpZ6rkVdX0nV03Gi992D5xIvqnWVxV86sQOKXq6vQpaQOQrx6ehgLNitAhEeofJzGd1R1V6XOLMGH4AXtj/Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T01:58:25.470109Z"},"content_sha256":"b4c0987af7f7eb014ace499c3b9593478feabcb254cf97fb4b9b479e68cd72c4","schema_version":"1.0","event_id":"sha256:b4c0987af7f7eb014ace499c3b9593478feabcb254cf97fb4b9b479e68cd72c4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:LIMIENN635J75CNZ6WPX7WZ6EQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Excursion and contour uncertainty regions for latent Gaussian models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.CO"],"primary_cat":"stat.ME","authors_text":"David Bolin, Finn Lindgren","submitted_at":"2012-11-16T16:31:27Z","abstract_excerpt":"An interesting statistical problem is to find regions where some studied process exceeds a certain level. Estimating such regions so that the probability for exceeding the level in the entire set is equal to some predefined value is a difficult problem that occurs in several areas of applications ranging from brain imaging to astrophysics. In this work, a method for solving this problem, as well as the related problem of finding uncertainty regions for contour curves, for latent Gaussian models is proposed. The method is based on using a parametric family for the excursion sets in combination "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3946","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":"2026-05-18T03:40:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XTvJwdIp5Sfz1deJDPIAl0gZn0miA3TI557K2eOq1qLK7EHZ58b/9aKjz7Wcyl7dqvG6RXWjbtoJFF3FZBapDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T01:58:25.470463Z"},"content_sha256":"7f2b5f8c5aa1a0c9606cc6e3a88a8ff8b9a69c42d75adfc2f2d14aed0ff6afc4","schema_version":"1.0","event_id":"sha256:7f2b5f8c5aa1a0c9606cc6e3a88a8ff8b9a69c42d75adfc2f2d14aed0ff6afc4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LIMIENN635J75CNZ6WPX7WZ6EQ/bundle.json","state_url":"https://pith.science/pith/LIMIENN635J75CNZ6WPX7WZ6EQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LIMIENN635J75CNZ6WPX7WZ6EQ/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":"2026-06-03T01:58:25Z","links":{"resolver":"https://pith.science/pith/LIMIENN635J75CNZ6WPX7WZ6EQ","bundle":"https://pith.science/pith/LIMIENN635J75CNZ6WPX7WZ6EQ/bundle.json","state":"https://pith.science/pith/LIMIENN635J75CNZ6WPX7WZ6EQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LIMIENN635J75CNZ6WPX7WZ6EQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LIMIENN635J75CNZ6WPX7WZ6EQ","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":"35683418b8a501fad8eaaeeba2e427a0ac109ec8ed245b2805fa76bf244b612a","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-11-16T16:31:27Z","title_canon_sha256":"45dc4055e0d3a4f73a2d08cf2d23e70a838d4663c36c8997004e5bf7fb8f2035"},"schema_version":"1.0","source":{"id":"1211.3946","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.3946","created_at":"2026-05-18T03:40:37Z"},{"alias_kind":"arxiv_version","alias_value":"1211.3946v1","created_at":"2026-05-18T03:40:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3946","created_at":"2026-05-18T03:40:37Z"},{"alias_kind":"pith_short_12","alias_value":"LIMIENN635J7","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LIMIENN635J75CNZ","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LIMIENN6","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:7f2b5f8c5aa1a0c9606cc6e3a88a8ff8b9a69c42d75adfc2f2d14aed0ff6afc4","target":"graph","created_at":"2026-05-18T03:40:37Z","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 interesting statistical problem is to find regions where some studied process exceeds a certain level. Estimating such regions so that the probability for exceeding the level in the entire set is equal to some predefined value is a difficult problem that occurs in several areas of applications ranging from brain imaging to astrophysics. In this work, a method for solving this problem, as well as the related problem of finding uncertainty regions for contour curves, for latent Gaussian models is proposed. The method is based on using a parametric family for the excursion sets in combination ","authors_text":"David Bolin, Finn Lindgren","cross_cats":["stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-11-16T16:31:27Z","title":"Excursion and contour uncertainty regions for latent Gaussian models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3946","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:b4c0987af7f7eb014ace499c3b9593478feabcb254cf97fb4b9b479e68cd72c4","target":"record","created_at":"2026-05-18T03:40:37Z","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":"35683418b8a501fad8eaaeeba2e427a0ac109ec8ed245b2805fa76bf244b612a","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-11-16T16:31:27Z","title_canon_sha256":"45dc4055e0d3a4f73a2d08cf2d23e70a838d4663c36c8997004e5bf7fb8f2035"},"schema_version":"1.0","source":{"id":"1211.3946","kind":"arxiv","version":1}},"canonical_sha256":"5a188235bedf53fe89b9f59f7fdb3e2414f3363df0c5232b4642c8721b046e65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a188235bedf53fe89b9f59f7fdb3e2414f3363df0c5232b4642c8721b046e65","first_computed_at":"2026-05-18T03:40:37.499907Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:37.499907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yCTSi+5Zq4dnqv/3L20hyn6851BYBqks4zoPCotgaWjleiv/2STMCEgdFw4K3lRylzRR34XNCqugQWkK0KW/BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:37.500638Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.3946","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4c0987af7f7eb014ace499c3b9593478feabcb254cf97fb4b9b479e68cd72c4","sha256:7f2b5f8c5aa1a0c9606cc6e3a88a8ff8b9a69c42d75adfc2f2d14aed0ff6afc4"],"state_sha256":"5c4ed1dd3f33440672b3fc7472d2a7312126f8c03fb7e7c2403da263ea5c6730"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0lxENUFUChX6sKT2JfmEdIMTXRbcsQwDubfiGztY0k3Z9oUq3Ev4NZ+BCwINHjJmdxe/npFRhYmstJ5aPH84AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T01:58:25.472821Z","bundle_sha256":"b245895c879d4b460ddd62e20b3fa000ba036f420fad671091ecd4e1f5e80e2a"}}