{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TRC32LS4JPTX4RD6L736C66SUD","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":"92658549ca18bb34c2867580641ba9c4fdf8cdb65133effe210040b6c2bbb885","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-07-22T09:29:57Z","title_canon_sha256":"a999d0a1f04a0e06c2dd4d751cf28697d0305c4f263cb6de0debc2a001f07c11"},"schema_version":"1.0","source":{"id":"1107.4464","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4464","created_at":"2026-05-18T04:17:03Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4464v1","created_at":"2026-05-18T04:17:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4464","created_at":"2026-05-18T04:17:03Z"},{"alias_kind":"pith_short_12","alias_value":"TRC32LS4JPTX","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TRC32LS4JPTX4RD6","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TRC32LS4","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:21a02ad9aff9a80aa2a35d3935660025090d2b1c64e852cdc9ae7ee17852a3b6","target":"graph","created_at":"2026-05-18T04:17:03Z","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 have proved to be useful for the statistical modelling of spatial extremes. Several representations of max-stable random fields have been proposed in the literature. For statistical inference it is often assumed that there is no temporal dependence, i.e., the observations at spatial locations are independent in time. We use two representations of stationary max-stable spatial random fields and extend the concepts to the space-time domain. In a first approach, we extend the idea of constructing max-stable random fields as limits of normalized and rescaled pointwise maxima o","authors_text":"Christina Steinkohl, Claudia Kl\\\"uppelberg, Richard A. Davis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-07-22T09:29:57Z","title":"Max-stable processes for modelling extremes observed in space and time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4464","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:f7b6ec415ff5623dfa748d7bb1f763e04a6762b673f5d43cadefb019848a9065","target":"record","created_at":"2026-05-18T04:17:03Z","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":"92658549ca18bb34c2867580641ba9c4fdf8cdb65133effe210040b6c2bbb885","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-07-22T09:29:57Z","title_canon_sha256":"a999d0a1f04a0e06c2dd4d751cf28697d0305c4f263cb6de0debc2a001f07c11"},"schema_version":"1.0","source":{"id":"1107.4464","kind":"arxiv","version":1}},"canonical_sha256":"9c45bd2e5c4be77e447e5ff7e17bd2a0e490fec48cdcf0d66a12400c99535e1f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c45bd2e5c4be77e447e5ff7e17bd2a0e490fec48cdcf0d66a12400c99535e1f","first_computed_at":"2026-05-18T04:17:03.987063Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:17:03.987063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xg5VYUjZk3HXM3PSEUtLvk7Xp+YI/dkRsdFZMC9ogNw8mKxdJKGQIAULDv5aVKo9bZqN1/3SHTuOCg4c4GOJBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:17:03.987775Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.4464","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7b6ec415ff5623dfa748d7bb1f763e04a6762b673f5d43cadefb019848a9065","sha256:21a02ad9aff9a80aa2a35d3935660025090d2b1c64e852cdc9ae7ee17852a3b6"],"state_sha256":"eb71b6eb421e7e85360e72b8ad71eb356fd451e9298ce2757ef2c565655ea57d"}