{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:DDRDNZ3UXDEFF26JRSDHD3AZWE","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":"44af257e574425aa790543e64db465f7fbba8a13992c604de349b49666ac3af0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-07-10T15:57:20Z","title_canon_sha256":"48670a5190f458aeb127f9a15bab83beded7faf14f18590ecda91ff14a70cd2a"},"schema_version":"1.0","source":{"id":"2407.07782","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.07782","created_at":"2026-07-05T10:41:13Z"},{"alias_kind":"arxiv_version","alias_value":"2407.07782v1","created_at":"2026-07-05T10:41:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.07782","created_at":"2026-07-05T10:41:13Z"},{"alias_kind":"pith_short_12","alias_value":"DDRDNZ3UXDEF","created_at":"2026-07-05T10:41:13Z"},{"alias_kind":"pith_short_16","alias_value":"DDRDNZ3UXDEFF26J","created_at":"2026-07-05T10:41:13Z"},{"alias_kind":"pith_short_8","alias_value":"DDRDNZ3U","created_at":"2026-07-05T10:41:13Z"}],"graph_snapshots":[{"event_id":"sha256:00d15fbe659a710cd9e4801f0485e7e82c17504303c200a56768128e69ef5e4c","target":"graph","created_at":"2026-07-05T10:41:13Z","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/2407.07782/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The view that the probability density function (PDF) of a key statistical variable, anomalously scaled by size or time, could furnish a hallmark of universal behavior contrasts with the circumstance that such density sensibly depends on non-universal features. We solve this apparent contradiction by demonstrating that both non-universal amplitudes and universal exponents of leading critical singularities in large deviation functions are determined by the PDF tails, whose form is argued on extensivity. This unexplored scenario implies a universal form of central limit theorem at criticality and","authors_text":"Attilio L. Stella, Gianluca Teza","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-07-10T15:57:20Z","title":"Universal and non-universal signatures in the scaling functions of critical variables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.07782","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":"sha256:526c97fe94d4288cc8714bd919b94dad80a4cb792294d875f6a637edcfeac0a0","target":"record","created_at":"2026-07-05T10:41:13Z","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":"44af257e574425aa790543e64db465f7fbba8a13992c604de349b49666ac3af0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-07-10T15:57:20Z","title_canon_sha256":"48670a5190f458aeb127f9a15bab83beded7faf14f18590ecda91ff14a70cd2a"},"schema_version":"1.0","source":{"id":"2407.07782","kind":"arxiv","version":1}},"canonical_sha256":"18e236e774b8c852ebc98c8671ec19b111bf8c436dbdf2759786ae996cb6aded","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18e236e774b8c852ebc98c8671ec19b111bf8c436dbdf2759786ae996cb6aded","first_computed_at":"2026-07-05T10:41:13.747089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:41:13.747089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hfUqfre4BKb0kl3Tl+j3WeqnmFlwvjyldfUkL8kfcKWMi50xtM08ax/f9T0DTcXSJcEqIMgsmMlTgCwNAKveCw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:41:13.747577Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.07782","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:526c97fe94d4288cc8714bd919b94dad80a4cb792294d875f6a637edcfeac0a0","sha256:00d15fbe659a710cd9e4801f0485e7e82c17504303c200a56768128e69ef5e4c"],"state_sha256":"d104c0723a1829c6f0eeb77c80d166d5ccb4688da1a10ff7335761f6662cad43"}