{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:XGOYYBIFSOBYSMZHMYUJ7NZHII","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":"c70c2a8313a12bb25110a5ed259aacf0cb7417f4470babce6cf628dc5fd73268","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-06-24T21:10:22Z","title_canon_sha256":"a9c80b6805556586735544074c85eb3c21d6ef62359b642b7ec250d66ccd0ba1"},"schema_version":"1.0","source":{"id":"1206.5539","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.5539","created_at":"2026-05-18T03:32:07Z"},{"alias_kind":"arxiv_version","alias_value":"1206.5539v2","created_at":"2026-05-18T03:32:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.5539","created_at":"2026-05-18T03:32:07Z"},{"alias_kind":"pith_short_12","alias_value":"XGOYYBIFSOBY","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XGOYYBIFSOBYSMZH","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XGOYYBIF","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:ea61c4a29a4bc09db50c752dbc5384b51755eb119cea59508bac8f26096f7bca","target":"graph","created_at":"2026-05-18T03:32:07Z","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":"We introduce a new method, based on the recently developed random tensor theory, to study the p-spin glass model with non-Gaussian, correlated disorder. Using a suitable generalization of Gurau's theorem on the universality of the large N limit of the p-unitary ensemble of random tensors, we exhibit an infinite family of such non-Gaussian distributions which leads to same low temperature phase as the Gaussian distribution. While this result is easy to show (and well known) for uncorrelated disorder, its robustness with respect to strong quenched correlations is surprising. We show in detail ho","authors_text":"Matteo Smerlak, Razvan Gurau, Valentin Bonzom","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-06-24T21:10:22Z","title":"Universality in p-spin glasses with correlated disorder"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.5539","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":"sha256:8bf88c1135a332b0f9bd3190b961abfedf805ff17e1536d95934069225860320","target":"record","created_at":"2026-05-18T03:32:07Z","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":"c70c2a8313a12bb25110a5ed259aacf0cb7417f4470babce6cf628dc5fd73268","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-06-24T21:10:22Z","title_canon_sha256":"a9c80b6805556586735544074c85eb3c21d6ef62359b642b7ec250d66ccd0ba1"},"schema_version":"1.0","source":{"id":"1206.5539","kind":"arxiv","version":2}},"canonical_sha256":"b99d8c0505938389332766289fb7274218b6efa26ea0e7de9f3a9665c943bd46","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b99d8c0505938389332766289fb7274218b6efa26ea0e7de9f3a9665c943bd46","first_computed_at":"2026-05-18T03:32:07.878010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:07.878010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0bJnZcNpaQOXNs4uBNPv+IRtS/5uZ/4/wq2c1dlVYrSZN0BTBur4U9vnHiy2UzWXb0bwziDIF9hexN7DVNmEBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:07.878500Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.5539","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bf88c1135a332b0f9bd3190b961abfedf805ff17e1536d95934069225860320","sha256:ea61c4a29a4bc09db50c752dbc5384b51755eb119cea59508bac8f26096f7bca"],"state_sha256":"279bc791686ab2e5a5711f220f459ecbc220c83b84ca06a7b7e74275a74179cd"}