{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:OS4RAC4TEUUYLET7DFN2ONQJGQ","short_pith_number":"pith:OS4RAC4T","canonical_record":{"source":{"id":"1808.00424","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-08-01T17:09:10Z","cross_cats_sorted":[],"title_canon_sha256":"4236926ad3516fb4d4efd187376977b94cf56f9e0f6620b52909538f21bdea4c","abstract_canon_sha256":"b901777962099542981df082ef7fbebd3dd88acfca38707b4aa6bfaad7befd1a"},"schema_version":"1.0"},"canonical_sha256":"74b9100b93252985927f195ba736093438004d3767453eda6d1954cb131a2fad","source":{"kind":"arxiv","id":"1808.00424","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.00424","created_at":"2026-05-18T00:09:06Z"},{"alias_kind":"arxiv_version","alias_value":"1808.00424v1","created_at":"2026-05-18T00:09:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.00424","created_at":"2026-05-18T00:09:06Z"},{"alias_kind":"pith_short_12","alias_value":"OS4RAC4TEUUY","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OS4RAC4TEUUYLET7","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OS4RAC4T","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:OS4RAC4TEUUYLET7DFN2ONQJGQ","target":"record","payload":{"canonical_record":{"source":{"id":"1808.00424","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-08-01T17:09:10Z","cross_cats_sorted":[],"title_canon_sha256":"4236926ad3516fb4d4efd187376977b94cf56f9e0f6620b52909538f21bdea4c","abstract_canon_sha256":"b901777962099542981df082ef7fbebd3dd88acfca38707b4aa6bfaad7befd1a"},"schema_version":"1.0"},"canonical_sha256":"74b9100b93252985927f195ba736093438004d3767453eda6d1954cb131a2fad","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:06.150947Z","signature_b64":"1JOL6hkbSIYV1vx6C98UwKQYtbE6mCAuTimEoVAFw1AAWtvLTvqMKiY97CwdUD2PghROiMKxhb9iGHf4zqbLDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74b9100b93252985927f195ba736093438004d3767453eda6d1954cb131a2fad","last_reissued_at":"2026-05-18T00:09:06.150384Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:06.150384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.00424","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":"2026-05-18T00:09:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IAIuxo8x8L0hSCV2u3S+mGuqhaQEhAdeqhOUj2bHw7aIMCk99LtO05GQ9q6JXHdBiDHFKyBHw3KnQQiNJLNFDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T02:56:47.450954Z"},"content_sha256":"4140cf18b0598871efa572ebd5fe7383c4875656d38e32a2d52eafcc1a7f982f","schema_version":"1.0","event_id":"sha256:4140cf18b0598871efa572ebd5fe7383c4875656d38e32a2d52eafcc1a7f982f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:OS4RAC4TEUUYLET7DFN2ONQJGQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exploration and inference in spatial extremes using empirical basis functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Brian J. Reich, Emeric Thibaud, Samuel A. Morris","submitted_at":"2018-08-01T17:09:10Z","abstract_excerpt":"Statistical methods for inference on spatial extremes of large datasets are yet to be developed. Motivated by standard dimension reduction techniques used in spatial statistics, we propose an approach based on empirical basis functions to explore and model spatial extremal dependence. Based on a low-rank max-stable model we propose a data-driven approach to estimate meaningful basis functions using empirical pairwise extremal coefficients. These spatial empirical basis functions can be used to visualize the main trends in extremal dependence. In addition to exploratory analysis, we describe ho"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00424","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":"2026-05-18T00:09:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FyGfiW+gLb7lTZX1fhhgK7AUd3pTeic/CoPKxluZEduigbvDIWUsBuZ/VkwyIEj+1wn5WJwEHzldZehCtLuSBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T02:56:47.451616Z"},"content_sha256":"5f43f7d9051bd2ce40667cb1ba3540491b3e7b4bb66adc696d857a87d8c9c546","schema_version":"1.0","event_id":"sha256:5f43f7d9051bd2ce40667cb1ba3540491b3e7b4bb66adc696d857a87d8c9c546"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OS4RAC4TEUUYLET7DFN2ONQJGQ/bundle.json","state_url":"https://pith.science/pith/OS4RAC4TEUUYLET7DFN2ONQJGQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OS4RAC4TEUUYLET7DFN2ONQJGQ/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":"2026-05-31T02:56:47Z","links":{"resolver":"https://pith.science/pith/OS4RAC4TEUUYLET7DFN2ONQJGQ","bundle":"https://pith.science/pith/OS4RAC4TEUUYLET7DFN2ONQJGQ/bundle.json","state":"https://pith.science/pith/OS4RAC4TEUUYLET7DFN2ONQJGQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OS4RAC4TEUUYLET7DFN2ONQJGQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OS4RAC4TEUUYLET7DFN2ONQJGQ","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":"b901777962099542981df082ef7fbebd3dd88acfca38707b4aa6bfaad7befd1a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-08-01T17:09:10Z","title_canon_sha256":"4236926ad3516fb4d4efd187376977b94cf56f9e0f6620b52909538f21bdea4c"},"schema_version":"1.0","source":{"id":"1808.00424","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.00424","created_at":"2026-05-18T00:09:06Z"},{"alias_kind":"arxiv_version","alias_value":"1808.00424v1","created_at":"2026-05-18T00:09:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.00424","created_at":"2026-05-18T00:09:06Z"},{"alias_kind":"pith_short_12","alias_value":"OS4RAC4TEUUY","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OS4RAC4TEUUYLET7","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OS4RAC4T","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:5f43f7d9051bd2ce40667cb1ba3540491b3e7b4bb66adc696d857a87d8c9c546","target":"graph","created_at":"2026-05-18T00:09:06Z","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":"Statistical methods for inference on spatial extremes of large datasets are yet to be developed. Motivated by standard dimension reduction techniques used in spatial statistics, we propose an approach based on empirical basis functions to explore and model spatial extremal dependence. Based on a low-rank max-stable model we propose a data-driven approach to estimate meaningful basis functions using empirical pairwise extremal coefficients. These spatial empirical basis functions can be used to visualize the main trends in extremal dependence. In addition to exploratory analysis, we describe ho","authors_text":"Brian J. Reich, Emeric Thibaud, Samuel A. Morris","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-08-01T17:09:10Z","title":"Exploration and inference in spatial extremes using empirical basis functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00424","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":"sha256:4140cf18b0598871efa572ebd5fe7383c4875656d38e32a2d52eafcc1a7f982f","target":"record","created_at":"2026-05-18T00:09:06Z","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":"b901777962099542981df082ef7fbebd3dd88acfca38707b4aa6bfaad7befd1a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-08-01T17:09:10Z","title_canon_sha256":"4236926ad3516fb4d4efd187376977b94cf56f9e0f6620b52909538f21bdea4c"},"schema_version":"1.0","source":{"id":"1808.00424","kind":"arxiv","version":1}},"canonical_sha256":"74b9100b93252985927f195ba736093438004d3767453eda6d1954cb131a2fad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74b9100b93252985927f195ba736093438004d3767453eda6d1954cb131a2fad","first_computed_at":"2026-05-18T00:09:06.150384Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:06.150384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1JOL6hkbSIYV1vx6C98UwKQYtbE6mCAuTimEoVAFw1AAWtvLTvqMKiY97CwdUD2PghROiMKxhb9iGHf4zqbLDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:06.150947Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.00424","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4140cf18b0598871efa572ebd5fe7383c4875656d38e32a2d52eafcc1a7f982f","sha256:5f43f7d9051bd2ce40667cb1ba3540491b3e7b4bb66adc696d857a87d8c9c546"],"state_sha256":"023a38652daefd31b107cb5540debdd9e73dc5cf8c59aaa88d2056467c199a24"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GllyDQnWTJEo3b5XNcyryH5kUkVZ/eXrPlkI1yVOgi3kW5uo6mZb7WcX6I7Y1Wkgo1moD89tJOCUI5oP6SAUAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T02:56:47.454804Z","bundle_sha256":"521bc3a8125b19e9df0f131f3f40329bf5c53dbb38c9583244ba4056805ece39"}}