{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:3CYCDFF2IIWZKFMG7GWCXHINVG","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":"7097804696d9164a9e73f279bc8ff73a045438b0a18b38defd623357cfc9ec88","cross_cats_sorted":["stat.ME","stat.TH"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.ST","submitted_at":"2023-02-10T11:25:58Z","title_canon_sha256":"02f88e8da65d7b08dd2dc44a45abf867eab65acf0abe1c4f9e7266238cf980dd"},"schema_version":"1.0","source":{"id":"2302.05182","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.05182","created_at":"2026-07-05T05:40:36Z"},{"alias_kind":"arxiv_version","alias_value":"2302.05182v1","created_at":"2026-07-05T05:40:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.05182","created_at":"2026-07-05T05:40:36Z"},{"alias_kind":"pith_short_12","alias_value":"3CYCDFF2IIWZ","created_at":"2026-07-05T05:40:36Z"},{"alias_kind":"pith_short_16","alias_value":"3CYCDFF2IIWZKFMG","created_at":"2026-07-05T05:40:36Z"},{"alias_kind":"pith_short_8","alias_value":"3CYCDFF2","created_at":"2026-07-05T05:40:36Z"}],"graph_snapshots":[{"event_id":"sha256:317632b440d2d6490bfe3758e204b833fa979da058096f79b2bbda724c3b4d9d","target":"graph","created_at":"2026-07-05T05:40:36Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2302.05182/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop an asymptotic theory for extremes in decomposable graphical models by presenting results applicable to a range of extremal dependence types. Specifically, we investigate the weak limit of the distribution of suitably normalised random vectors, conditioning on an extreme component, where the conditional independence relationships of the random vector are described by a chordal graph. Under mild assumptions, the random vector corresponding to the distribution in the weak limit, termed the tail graphical model, inherits the graphical structure of the original chordal graph. Our theory ","authors_text":"Adrian Casey, Ioannis Papastathopoulos","cross_cats":["stat.ME","stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.ST","submitted_at":"2023-02-10T11:25:58Z","title":"Decomposable Tail Graphical Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.05182","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":"sha256:6c6ec094429446977905cb0701fce7f9c4d876cd8386f8008a6f2cd8143ff854","target":"record","created_at":"2026-07-05T05:40:36Z","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":"7097804696d9164a9e73f279bc8ff73a045438b0a18b38defd623357cfc9ec88","cross_cats_sorted":["stat.ME","stat.TH"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.ST","submitted_at":"2023-02-10T11:25:58Z","title_canon_sha256":"02f88e8da65d7b08dd2dc44a45abf867eab65acf0abe1c4f9e7266238cf980dd"},"schema_version":"1.0","source":{"id":"2302.05182","kind":"arxiv","version":1}},"canonical_sha256":"d8b02194ba422d951586f9ac2b9d0da9b2c15d48826a7ab3ce34262766ae5ea8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8b02194ba422d951586f9ac2b9d0da9b2c15d48826a7ab3ce34262766ae5ea8","first_computed_at":"2026-07-05T05:40:36.414695Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:40:36.414695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OwGraJqWA84WLH56/Mj/PxjcVix0gQEJcj23ous2sOld0pCDqXE9xUZaN0cNW2MuXIGRdRato37pDdIxrDDfDg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:40:36.415030Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.05182","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c6ec094429446977905cb0701fce7f9c4d876cd8386f8008a6f2cd8143ff854","sha256:317632b440d2d6490bfe3758e204b833fa979da058096f79b2bbda724c3b4d9d"],"state_sha256":"2f83ffd71ec8da0a58f55d845f10c154359e446ae25388f35f02b886f79edfd3"}