{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:R22M5RXGSRFBSCL7VYAD35JC56","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":"c0b8d2dad2bc99f95d283376147841f9c6080d4b60805dbc6d809cb5cac87d15","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-06-27T19:16:00Z","title_canon_sha256":"237a5938ad0c2d735f6bfce5f4afa37e76029662511e4884d9bf52fdb069a8e3"},"schema_version":"1.0","source":{"id":"1206.6368","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6368","created_at":"2026-05-18T03:48:13Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6368v2","created_at":"2026-05-18T03:48:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6368","created_at":"2026-05-18T03:48:13Z"},{"alias_kind":"pith_short_12","alias_value":"R22M5RXGSRFB","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"R22M5RXGSRFBSCL7","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"R22M5RXG","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:56ece151dbd8eb5fea42694c853420fcb5d5597ea232d8f8e488348dd9d1ebc9","target":"graph","created_at":"2026-05-18T03:48:13Z","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":"We provide extended evidence that mode-coupling theory (MCT) of supercooled liquids for the ${\\mathsf F}_{12}$ schematic model admits a microscopic realization based on facilitated spin models with tunable facilitation. Depending on the facilitation strength, one observes two distinct dynamic glass transition lines--continuous and discontinuous--merging at a dynamical tricritical-like point with critical decay exponents consistently related by MCT predictions. The mechanisms of dynamical arrest can be naturally interpreted in geometrical terms: the discontinuous and continuous transitions corr","authors_text":"Jeferson J. Arenzon, Mauro Sellitto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-06-27T19:16:00Z","title":"Microscopic models of mode-coupling theory: the $F_{12}$ scenario"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6368","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":"sha256:916505d9fe84fc7d3e1cf9920e7410417c190d10e638233fe81ae95aedc4819d","target":"record","created_at":"2026-05-18T03:48:13Z","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":"c0b8d2dad2bc99f95d283376147841f9c6080d4b60805dbc6d809cb5cac87d15","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-06-27T19:16:00Z","title_canon_sha256":"237a5938ad0c2d735f6bfce5f4afa37e76029662511e4884d9bf52fdb069a8e3"},"schema_version":"1.0","source":{"id":"1206.6368","kind":"arxiv","version":2}},"canonical_sha256":"8eb4cec6e6944a19097fae003df522ef841aa80bd28474464c62054e24f05fde","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8eb4cec6e6944a19097fae003df522ef841aa80bd28474464c62054e24f05fde","first_computed_at":"2026-05-18T03:48:13.175219Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:13.175219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EwWSq/vskzP1rNxfNki8UdtegZ8rSm1VeU+5LEXMSpyd294NGG10McqcTWFjlmBgj7r7yS6Af2jyiAukv/KeCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:13.176152Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.6368","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:916505d9fe84fc7d3e1cf9920e7410417c190d10e638233fe81ae95aedc4819d","sha256:56ece151dbd8eb5fea42694c853420fcb5d5597ea232d8f8e488348dd9d1ebc9"],"state_sha256":"8eeff41054926813fc67f034fc60b2dac653b1f05f4b508ec51bca2734af5cf8"}