{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:U3IZGURQ2IB6Y66EMURDLF3FKX","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":"71c72fb3c2ba235ce5260443a8bcf1eb98c64e1236852cb28f921592881303ba","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-12-13T17:14:03Z","title_canon_sha256":"01bcc201510b468b037c88babc62f39e2c8ff29e805d73f4650d81735b627d1f"},"schema_version":"1.0","source":{"id":"1112.2965","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.2965","created_at":"2026-05-18T03:57:53Z"},{"alias_kind":"arxiv_version","alias_value":"1112.2965v2","created_at":"2026-05-18T03:57:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2965","created_at":"2026-05-18T03:57:53Z"},{"alias_kind":"pith_short_12","alias_value":"U3IZGURQ2IB6","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"U3IZGURQ2IB6Y66E","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"U3IZGURQ","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:a94e1d6f3f542e5e44300c32a3c24bfe65851753139fde286b64fbbc1b2d7a55","target":"graph","created_at":"2026-05-18T03:57:53Z","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":"Using a renormalization approach, we study the asymptotic limit distribution of the maximum value in a set of independent and identically distributed random variables raised to a power q(n) that varies monotonically with the sample size n. Under these conditions, a non-standard class of max-stable limit distributions, which mirror the classical ones, emerges. Furthermore a transition mechanism between the classical and the non-standard limit distributions is brought to light. If q(n) grows slower than a characteristic function q*(n), the standard limit distributions are recovered, while if q(n","authors_text":"Eric Bertin, Florian Angeletti, Patrice Abry","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-12-13T17:14:03Z","title":"Renormalization flow for extreme value statistics of random variables raised to a varying power"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2965","kind":"arxiv","version":2},"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:fdfafb9c8ab9062d84bd626f8de475520263f68bb2c7abcddd0d6d701a1a0e1f","target":"record","created_at":"2026-05-18T03:57:53Z","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":"71c72fb3c2ba235ce5260443a8bcf1eb98c64e1236852cb28f921592881303ba","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-12-13T17:14:03Z","title_canon_sha256":"01bcc201510b468b037c88babc62f39e2c8ff29e805d73f4650d81735b627d1f"},"schema_version":"1.0","source":{"id":"1112.2965","kind":"arxiv","version":2}},"canonical_sha256":"a6d1935230d203ec7bc4652235976555e17d6bce2bc1afb493b04efae930a8fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6d1935230d203ec7bc4652235976555e17d6bce2bc1afb493b04efae930a8fd","first_computed_at":"2026-05-18T03:57:53.031116Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:53.031116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oRC+47NiaeScLk0FNh+tEA5KlUNjw/zyxalJcVfUTxz21k8u1hDrlt3Z9jGxBPVrAK8xaJAzFLsBDaT5KbozBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:53.031949Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.2965","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fdfafb9c8ab9062d84bd626f8de475520263f68bb2c7abcddd0d6d701a1a0e1f","sha256:a94e1d6f3f542e5e44300c32a3c24bfe65851753139fde286b64fbbc1b2d7a55"],"state_sha256":"fc9d9ecea2b5c73c1e6ff6b9261aad60fd303aa75ef54465e51f3eb35b7510eb"}