{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:YJ5XR55SUJ4BKUOC4GW6LPXGIH","short_pith_number":"pith:YJ5XR55S","canonical_record":{"source":{"id":"1506.04430","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-06-14T19:10:22Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"90d8d33662dbaf9afef42c8a5f2502c41e672b05ccd70adf01c30142623edc5f","abstract_canon_sha256":"b73299ca888f1ee03a08ba8b7a45805c2a72242ba780c63cb04248d20fcfcbb6"},"schema_version":"1.0"},"canonical_sha256":"c27b78f7b2a2781551c2e1ade5bee641f624f0d931c4b091f36db121e36a4c15","source":{"kind":"arxiv","id":"1506.04430","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.04430","created_at":"2026-05-18T01:49:54Z"},{"alias_kind":"arxiv_version","alias_value":"1506.04430v1","created_at":"2026-05-18T01:49:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04430","created_at":"2026-05-18T01:49:54Z"},{"alias_kind":"pith_short_12","alias_value":"YJ5XR55SUJ4B","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YJ5XR55SUJ4BKUOC","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YJ5XR55S","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:YJ5XR55SUJ4BKUOC4GW6LPXGIH","target":"record","payload":{"canonical_record":{"source":{"id":"1506.04430","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-06-14T19:10:22Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"90d8d33662dbaf9afef42c8a5f2502c41e672b05ccd70adf01c30142623edc5f","abstract_canon_sha256":"b73299ca888f1ee03a08ba8b7a45805c2a72242ba780c63cb04248d20fcfcbb6"},"schema_version":"1.0"},"canonical_sha256":"c27b78f7b2a2781551c2e1ade5bee641f624f0d931c4b091f36db121e36a4c15","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:54.582043Z","signature_b64":"RVTOh4T3KAGWhaGvEVwb7e7IN4dVc0oFUgymTHfv1b4EmehF0VuGtMKtnrVIzgNs4tQBiK4kGCyT4fQShFMkBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c27b78f7b2a2781551c2e1ade5bee641f624f0d931c4b091f36db121e36a4c15","last_reissued_at":"2026-05-18T01:49:54.581568Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:54.581568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.04430","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":"2026-05-18T01:49:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fFLthwFWBH9xDeswW15chIOreV1MYHA20ah5FuRGr5BMXPD0tDjEINi9rZgxngYEh95ZSEN415oQ1sb92F6xBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:58:36.119106Z"},"content_sha256":"dc26b7e2852062856042f5fb857ea7e9089ab37da66d36737606d2968db828ec","schema_version":"1.0","event_id":"sha256:dc26b7e2852062856042f5fb857ea7e9089ab37da66d36737606d2968db828ec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:YJ5XR55SUJ4BKUOC4GW6LPXGIH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact simulation of max-stable processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ME","authors_text":"Cl\\'ement Dombry, Marco Oesting, Sebastian Engelke","submitted_at":"2015-06-14T19:10:22Z","abstract_excerpt":"Max-stable processes play an important role as models for spatial extreme events. Their complex structure as the pointwise maximum over an infinite number of random functions makes simulation highly nontrivial. Algorithms based on finite approximations that are used in practice are often not exact and computationally inefficient. We will present two algorithms for exact simulation of a max-stable process at a finite number of locations. The first algorithm generalizes the approach by \\citet{DM-2014} for Brown--Resnick processes and it is based on simulation from the spectral measure. The secon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04430","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":"2026-05-18T01:49:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2RtXgoDOQtVTlsKrqw4srMc4hi4CzPY1X7oheN59z0a3283QDEHBNPgZzSSO8RdmaGT+NfcZaO2xMVdhnptfAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:58:36.119798Z"},"content_sha256":"ec8ee5c0e4cf581360021921bc4e05197374ba57f2d8cafd8ed784aee11432cf","schema_version":"1.0","event_id":"sha256:ec8ee5c0e4cf581360021921bc4e05197374ba57f2d8cafd8ed784aee11432cf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YJ5XR55SUJ4BKUOC4GW6LPXGIH/bundle.json","state_url":"https://pith.science/pith/YJ5XR55SUJ4BKUOC4GW6LPXGIH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YJ5XR55SUJ4BKUOC4GW6LPXGIH/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":"2026-06-05T01:58:36Z","links":{"resolver":"https://pith.science/pith/YJ5XR55SUJ4BKUOC4GW6LPXGIH","bundle":"https://pith.science/pith/YJ5XR55SUJ4BKUOC4GW6LPXGIH/bundle.json","state":"https://pith.science/pith/YJ5XR55SUJ4BKUOC4GW6LPXGIH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YJ5XR55SUJ4BKUOC4GW6LPXGIH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YJ5XR55SUJ4BKUOC4GW6LPXGIH","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":"b73299ca888f1ee03a08ba8b7a45805c2a72242ba780c63cb04248d20fcfcbb6","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-06-14T19:10:22Z","title_canon_sha256":"90d8d33662dbaf9afef42c8a5f2502c41e672b05ccd70adf01c30142623edc5f"},"schema_version":"1.0","source":{"id":"1506.04430","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.04430","created_at":"2026-05-18T01:49:54Z"},{"alias_kind":"arxiv_version","alias_value":"1506.04430v1","created_at":"2026-05-18T01:49:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04430","created_at":"2026-05-18T01:49:54Z"},{"alias_kind":"pith_short_12","alias_value":"YJ5XR55SUJ4B","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YJ5XR55SUJ4BKUOC","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YJ5XR55S","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:ec8ee5c0e4cf581360021921bc4e05197374ba57f2d8cafd8ed784aee11432cf","target":"graph","created_at":"2026-05-18T01:49:54Z","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":"Max-stable processes play an important role as models for spatial extreme events. Their complex structure as the pointwise maximum over an infinite number of random functions makes simulation highly nontrivial. Algorithms based on finite approximations that are used in practice are often not exact and computationally inefficient. We will present two algorithms for exact simulation of a max-stable process at a finite number of locations. The first algorithm generalizes the approach by \\citet{DM-2014} for Brown--Resnick processes and it is based on simulation from the spectral measure. The secon","authors_text":"Cl\\'ement Dombry, Marco Oesting, Sebastian Engelke","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-06-14T19:10:22Z","title":"Exact simulation of max-stable processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04430","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:dc26b7e2852062856042f5fb857ea7e9089ab37da66d36737606d2968db828ec","target":"record","created_at":"2026-05-18T01:49:54Z","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":"b73299ca888f1ee03a08ba8b7a45805c2a72242ba780c63cb04248d20fcfcbb6","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-06-14T19:10:22Z","title_canon_sha256":"90d8d33662dbaf9afef42c8a5f2502c41e672b05ccd70adf01c30142623edc5f"},"schema_version":"1.0","source":{"id":"1506.04430","kind":"arxiv","version":1}},"canonical_sha256":"c27b78f7b2a2781551c2e1ade5bee641f624f0d931c4b091f36db121e36a4c15","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c27b78f7b2a2781551c2e1ade5bee641f624f0d931c4b091f36db121e36a4c15","first_computed_at":"2026-05-18T01:49:54.581568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:54.581568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RVTOh4T3KAGWhaGvEVwb7e7IN4dVc0oFUgymTHfv1b4EmehF0VuGtMKtnrVIzgNs4tQBiK4kGCyT4fQShFMkBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:54.582043Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.04430","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc26b7e2852062856042f5fb857ea7e9089ab37da66d36737606d2968db828ec","sha256:ec8ee5c0e4cf581360021921bc4e05197374ba57f2d8cafd8ed784aee11432cf"],"state_sha256":"4081cca8c33bfc51a120f19ec9ac5651676bedeece40f3bc88d5b2b4ea2b2dcf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sv+thnyafLhse2eoaWz6sntv7ujilnfMkHwZU+RLyRY1nztYs6uOPpSs5RYq48bVqvmj2xiIyIhFotEEMU62AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T01:58:36.123280Z","bundle_sha256":"2c13a15d9af89f952b533fe1408bc0b0a025f7ce01bf6877de382a02ae7860e9"}}