{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:KFTZU3UL6HAHMDO6ZYOJRUUAA3","short_pith_number":"pith:KFTZU3UL","schema_version":"1.0","canonical_sha256":"51679a6e8bf1c0760ddece1c98d28006f777c0e1db93d29c8db1516d16ca66b8","source":{"kind":"arxiv","id":"1407.1203","version":1},"attestation_state":"computed","paper":{"title":"The influence of dimension on the relaxation process of East-like models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alessandra Faggionato, Fabio Martinelli, Paul Chleboun","submitted_at":"2014-07-04T12:25:38Z","abstract_excerpt":"We consider the relaxation process and the out-of-equilibrium dynamics of natural generalizations to arbitrary dimensions of the well known one dimensional East process. These facilitated models are supposed to catch some of the main features of the complex dynamics of fragile glasses. We focus on the low temperature regime (small density $c \\approx e^{-\\beta}$ of the facilitating sites). In the literature the relaxation process for the above models has been assumed to be quasi-one dimensional and, in particular, their equilibration time has been computed using the relaxation time of the East "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1407.1203","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-04T12:25:38Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"080cf45825d03725f9d016b833211727f1f1e4c160845e946d2fd4fd3ce5d4f5","abstract_canon_sha256":"c8f2480d3ba385ad6a9e0467c94aab37eb19f1e605a2fd6986d427262fb27256"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:41.939212Z","signature_b64":"Y7T/t3IA0mvkgb9bZAQxQhmhsrIhXaT34SXVCped8hMHbTHXUGumvLxA9dQned1l/GHiLsCXbSVKZ5cHw+m7DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51679a6e8bf1c0760ddece1c98d28006f777c0e1db93d29c8db1516d16ca66b8","last_reissued_at":"2026-05-18T01:42:41.938778Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:41.938778Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The influence of dimension on the relaxation process of East-like models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alessandra Faggionato, Fabio Martinelli, Paul Chleboun","submitted_at":"2014-07-04T12:25:38Z","abstract_excerpt":"We consider the relaxation process and the out-of-equilibrium dynamics of natural generalizations to arbitrary dimensions of the well known one dimensional East process. These facilitated models are supposed to catch some of the main features of the complex dynamics of fragile glasses. We focus on the low temperature regime (small density $c \\approx e^{-\\beta}$ of the facilitating sites). In the literature the relaxation process for the above models has been assumed to be quasi-one dimensional and, in particular, their equilibration time has been computed using the relaxation time of the East "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1203","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1407.1203","created_at":"2026-05-18T01:42:41.938851+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.1203v1","created_at":"2026-05-18T01:42:41.938851+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1203","created_at":"2026-05-18T01:42:41.938851+00:00"},{"alias_kind":"pith_short_12","alias_value":"KFTZU3UL6HAH","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"KFTZU3UL6HAHMDO6","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"KFTZU3UL","created_at":"2026-05-18T12:28:35.611951+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KFTZU3UL6HAHMDO6ZYOJRUUAA3","json":"https://pith.science/pith/KFTZU3UL6HAHMDO6ZYOJRUUAA3.json","graph_json":"https://pith.science/api/pith-number/KFTZU3UL6HAHMDO6ZYOJRUUAA3/graph.json","events_json":"https://pith.science/api/pith-number/KFTZU3UL6HAHMDO6ZYOJRUUAA3/events.json","paper":"https://pith.science/paper/KFTZU3UL"},"agent_actions":{"view_html":"https://pith.science/pith/KFTZU3UL6HAHMDO6ZYOJRUUAA3","download_json":"https://pith.science/pith/KFTZU3UL6HAHMDO6ZYOJRUUAA3.json","view_paper":"https://pith.science/paper/KFTZU3UL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.1203&json=true","fetch_graph":"https://pith.science/api/pith-number/KFTZU3UL6HAHMDO6ZYOJRUUAA3/graph.json","fetch_events":"https://pith.science/api/pith-number/KFTZU3UL6HAHMDO6ZYOJRUUAA3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KFTZU3UL6HAHMDO6ZYOJRUUAA3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KFTZU3UL6HAHMDO6ZYOJRUUAA3/action/storage_attestation","attest_author":"https://pith.science/pith/KFTZU3UL6HAHMDO6ZYOJRUUAA3/action/author_attestation","sign_citation":"https://pith.science/pith/KFTZU3UL6HAHMDO6ZYOJRUUAA3/action/citation_signature","submit_replication":"https://pith.science/pith/KFTZU3UL6HAHMDO6ZYOJRUUAA3/action/replication_record"}},"created_at":"2026-05-18T01:42:41.938851+00:00","updated_at":"2026-05-18T01:42:41.938851+00:00"}