{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:O64IREUK6KQMIKTKIOBKB4L3P3","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":"77e9d6f1c20806c128eccbee5de25062160fed5c3e9e8a6436f5ff5dcf0dd637","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-07T15:09:47Z","title_canon_sha256":"a046496c82e7158c92ca51291fb88a3f511cff7dad3524fd8091a006a4be4684"},"schema_version":"1.0","source":{"id":"1310.1813","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1813","created_at":"2026-05-18T03:11:10Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1813v1","created_at":"2026-05-18T03:11:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1813","created_at":"2026-05-18T03:11:10Z"},{"alias_kind":"pith_short_12","alias_value":"O64IREUK6KQM","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"O64IREUK6KQMIKTK","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"O64IREUK","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:e3c29e01d27adc8d314020597e5360bebe8e28ef06ba71adb965d04a485cc9ec","target":"graph","created_at":"2026-05-18T03:11:10Z","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 normalized spectral representation of a max-stable process on a compact set is the unique representation where all spectral functions share the same supremum. Among the class of equivalent spectral representations of a process, the normalized spectral representation plays a distinctive role as a solution of two optimization problems in the context of an efficient simulation of max-stable processes. Our approach has the potential of considerably reducing the simulation time of max-stable processes.","authors_text":"Chen Zhou, Marco Oesting, Martin Schlather","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-07T15:09:47Z","title":"On the Normalized Spectral Representation of Max-Stable Processes on a Compact Set"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1813","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:fc932ee90b7d7e86a9b4593181be85ae8c853e7308c50bd277dda0a353e0d66f","target":"record","created_at":"2026-05-18T03:11:10Z","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":"77e9d6f1c20806c128eccbee5de25062160fed5c3e9e8a6436f5ff5dcf0dd637","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-07T15:09:47Z","title_canon_sha256":"a046496c82e7158c92ca51291fb88a3f511cff7dad3524fd8091a006a4be4684"},"schema_version":"1.0","source":{"id":"1310.1813","kind":"arxiv","version":1}},"canonical_sha256":"77b888928af2a0c42a6a4382a0f17b7ec9e016ef55982be9aeef0ed5b8e2f45c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77b888928af2a0c42a6a4382a0f17b7ec9e016ef55982be9aeef0ed5b8e2f45c","first_computed_at":"2026-05-18T03:11:10.501810Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:10.501810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bt/JFmb2vnHR93plxRcBzhHZpPCpr4GrYtVlnNNyX8ptQVnTdWKJQzmRRn6p/vPK+Bp0QRPssk47Q0Uzgow3Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:10.502661Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.1813","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc932ee90b7d7e86a9b4593181be85ae8c853e7308c50bd277dda0a353e0d66f","sha256:e3c29e01d27adc8d314020597e5360bebe8e28ef06ba71adb965d04a485cc9ec"],"state_sha256":"14b997c3d353977472161a76e0d86d09b058fc668c24495fb4acbc205f6bf73d"}