{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7MOIM67WWIEMRSTYSB7VILJMLC","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":"b9b89be8d7047a83960855dc40e69ce523060ce204ee7099d061f093df5f4292","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-12-11T12:39:56Z","title_canon_sha256":"9637073621390806c11464986ff88cf6e97b621b811d5b509d18115d4d31d7e2"},"schema_version":"1.0","source":{"id":"1212.2399","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.2399","created_at":"2026-05-18T03:14:19Z"},{"alias_kind":"arxiv_version","alias_value":"1212.2399v2","created_at":"2026-05-18T03:14:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.2399","created_at":"2026-05-18T03:14:19Z"},{"alias_kind":"pith_short_12","alias_value":"7MOIM67WWIEM","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7MOIM67WWIEMRSTY","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7MOIM67W","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:473f4a5e773bbfb81e473ac56d783709374fe0055f36d0f1e10c6efd2e83ceb1","target":"graph","created_at":"2026-05-18T03:14:19Z","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 consider the non-equilibrium dynamics of the East model, a linear chain of 0-1 spins evolving under a simple Glauber dynamics in the presence of a kinetic constraint which forbids flips of those spins whose left neighbor is 1. We focus on the glassy effects caused by the kinetic constraint as $q\\downarrow 0$, where $q$ is the equilibrium density of the 0's. In the physical literature this limit is equivalent to the zero temperature limit. We first prove that, for any given $L=O(1/q)$, the divergence as $q\\downarrow 0$ of three basic characteristic time scales of the East process of length $","authors_text":"Alessandra Faggionato, Fabio Martinelli, Paul Chleboun","cross_cats":["cond-mat.stat-mech","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-12-11T12:39:56Z","title":"Time scale separation and dynamic heterogeneity in the low temperature East model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.2399","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:e3d356972d07b3d0d1f32446e76c19294c4559829e5e73dcb3ce86d238ff4723","target":"record","created_at":"2026-05-18T03:14:19Z","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":"b9b89be8d7047a83960855dc40e69ce523060ce204ee7099d061f093df5f4292","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-12-11T12:39:56Z","title_canon_sha256":"9637073621390806c11464986ff88cf6e97b621b811d5b509d18115d4d31d7e2"},"schema_version":"1.0","source":{"id":"1212.2399","kind":"arxiv","version":2}},"canonical_sha256":"fb1c867bf6b208c8ca78907f542d2c589f425f0c5110a6c634d3bc05e48644ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb1c867bf6b208c8ca78907f542d2c589f425f0c5110a6c634d3bc05e48644ca","first_computed_at":"2026-05-18T03:14:19.902475Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:19.902475Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Kh/eOKXHlA8JX/7HP4ErNbog89xd+BejtIC8xRpbVgo+m9LPuIS/FrzSh5w+++w0MNJklXz2SvItxlkR1id1Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:19.903071Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.2399","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3d356972d07b3d0d1f32446e76c19294c4559829e5e73dcb3ce86d238ff4723","sha256:473f4a5e773bbfb81e473ac56d783709374fe0055f36d0f1e10c6efd2e83ceb1"],"state_sha256":"9c99cf11bd8aefbc57b987c34a0d9c26833d706652cc86627eaa621d90a0f06d"}