{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:PC6ZZJT6AOMEA45CU3C3JVIYNS","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":"6a337ed6142e313e6572d5685eac9f635d093a31070050071e80ea536d35690c","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-05-26T08:39:16Z","title_canon_sha256":"3fe0f5171f423c1d6b4022681910a1a8aac9f1e55d6c6ffcff91d6495d63d8a6"},"schema_version":"1.0","source":{"id":"1105.5230","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.5230","created_at":"2026-05-18T04:21:13Z"},{"alias_kind":"arxiv_version","alias_value":"1105.5230v1","created_at":"2026-05-18T04:21:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.5230","created_at":"2026-05-18T04:21:13Z"},{"alias_kind":"pith_short_12","alias_value":"PC6ZZJT6AOME","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PC6ZZJT6AOMEA45C","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PC6ZZJT6","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:1b9270e9a2dbbe0a6a472d3afaf3f5b40fd183d517b9f8133d43df845998986f","target":"graph","created_at":"2026-05-18T04:21:13Z","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"},"paper":{"abstract_excerpt":"The critical behaviour of the dynamical transition of glassy system is controlled by a Replica Symmetric action with n=1 replicas. The most divergent diagrams in the loop expansion correspond at all orders to the solutions of a stochastic equation leading to perturbative dimensional reduction. The theory describe accurately numerical simulations of mean-field models.","authors_text":"Federico Ricci-Tersenghi, Giorgio Parisi, Silvio Franz, Tommaso Rizzo","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-05-26T08:39:16Z","title":"Replica Field Theory of the Dynamical Transition in Glassy Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.5230","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":"sha256:16756b8b9a27689d4127dbed4470221b682ff43b1fa98cd334926c3cff362572","target":"record","created_at":"2026-05-18T04:21:13Z","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":"6a337ed6142e313e6572d5685eac9f635d093a31070050071e80ea536d35690c","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-05-26T08:39:16Z","title_canon_sha256":"3fe0f5171f423c1d6b4022681910a1a8aac9f1e55d6c6ffcff91d6495d63d8a6"},"schema_version":"1.0","source":{"id":"1105.5230","kind":"arxiv","version":1}},"canonical_sha256":"78bd9ca67e03984073a2a6c5b4d5186c9a2f1cac76f3b1ce1197005b255e4ebf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"78bd9ca67e03984073a2a6c5b4d5186c9a2f1cac76f3b1ce1197005b255e4ebf","first_computed_at":"2026-05-18T04:21:13.021498Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:21:13.021498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hNtdrjyDKU9CqTxFbUNiS9jT9r6yYYL++E1YPtRo53xJKdlac7p99CFkymXNWDPbQFwRtzCH/dUfoTRkQscMBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:21:13.022161Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.5230","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:16756b8b9a27689d4127dbed4470221b682ff43b1fa98cd334926c3cff362572","sha256:1b9270e9a2dbbe0a6a472d3afaf3f5b40fd183d517b9f8133d43df845998986f"],"state_sha256":"b1ddf460c6b3cd7e86b3fe31b456c29c920062a877430c3fe318869fca1faccb"}