{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:77OSTMMCQIQV6FFTL7OIXCSNJD","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":"621745acd1c63dafc21dd8945401c2a7309c1efe4c8e64562623c2e044d9177d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-10-22T16:24:12Z","title_canon_sha256":"d95ed2f4fcdcbf7449be7de4ab016154f072eb9a7cd6ea20e70a5274db35d935"},"schema_version":"1.0","source":{"id":"1210.5952","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.5952","created_at":"2026-05-18T01:53:44Z"},{"alias_kind":"arxiv_version","alias_value":"1210.5952v2","created_at":"2026-05-18T01:53:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.5952","created_at":"2026-05-18T01:53:44Z"},{"alias_kind":"pith_short_12","alias_value":"77OSTMMCQIQV","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"77OSTMMCQIQV6FFT","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"77OSTMMC","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:6ba9f12220d51ad2233050bac23e60d43607c88053cfe1bd7f6b50a232103604","target":"graph","created_at":"2026-05-18T01:53:44Z","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":"Facilitated spin models on random graphs provide an ideal microscopic realization of the mode-coupling theory of supercooled liquids: they undergo a purely dynamic glass transition with no thermodynamic singularity. In this paper we study the fluctuations of dynamical heterogeneity and their finite-size scaling properties in the beta relaxation regime of such microscopic spin models. We compare the critical fluctuations behavior for two distinct measures of correlations with the results of a recently proposed field theoretical description based on quasi-equilibrium ideas. We find that the theo","authors_text":"Mauro Sellitto, Silvio Franz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-10-22T16:24:12Z","title":"Finite-size critical fluctuations in microscopic models of mode-coupling theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.5952","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":"sha256:46bcbab3eec23a1bbeae8d233edff92fa832c97139610c9c81aa2fafc3089d16","target":"record","created_at":"2026-05-18T01:53:44Z","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":"621745acd1c63dafc21dd8945401c2a7309c1efe4c8e64562623c2e044d9177d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-10-22T16:24:12Z","title_canon_sha256":"d95ed2f4fcdcbf7449be7de4ab016154f072eb9a7cd6ea20e70a5274db35d935"},"schema_version":"1.0","source":{"id":"1210.5952","kind":"arxiv","version":2}},"canonical_sha256":"ffdd29b18282215f14b35fdc8b8a4d48e1cd8cf24ce951c1ae78a3d821acbc94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ffdd29b18282215f14b35fdc8b8a4d48e1cd8cf24ce951c1ae78a3d821acbc94","first_computed_at":"2026-05-18T01:53:44.881433Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:53:44.881433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bMI91KB5BYNKT5HnGt7u5yLoMTQvBsmD8m+ZgodW/WY/0xwKRSPo+DLmoo4wmbXeBXuB1haTD0WIpDyvNbQKAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:53:44.882054Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.5952","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46bcbab3eec23a1bbeae8d233edff92fa832c97139610c9c81aa2fafc3089d16","sha256:6ba9f12220d51ad2233050bac23e60d43607c88053cfe1bd7f6b50a232103604"],"state_sha256":"77284aa020e82e74303edf15ca7e32b8d8f6ec8473a6b50e691deb75efe56686"}