{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:AXTTOCHBB7NQLZZJHCDB4GHAX6","short_pith_number":"pith:AXTTOCHB","schema_version":"1.0","canonical_sha256":"05e73708e10fdb05e72938861e18e0bf8cd01c0dac0a76858eda6550e4206408","source":{"kind":"arxiv","id":"1005.0954","version":2},"attestation_state":"computed","paper":{"title":"Low-temperature dynamics of the Curie-Weiss Model: Periodic orbits, multiple histories, and loss of Gibbsianness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Christof Kuelske, Victor Ermolaev","submitted_at":"2010-05-06T09:50:42Z","abstract_excerpt":"We consider the Curie-Weiss model at a given initial temperature in vanishing external field evolving under a Glauber spin-flip dynamics corresponding to a possibly different temperature. We study the limiting conditional probabilities and their continuity properties and discuss their set of points of discontinuity (bad points). We provide a complete analysis of the transition between Gibbsian and non-Gibbsian behavior as a function of time, extending earlier work for the case of independent spin-flip dynamics. For initial temperature bigger than one we prove that the time-evolved measure stay"},"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":"1005.0954","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-05-06T09:50:42Z","cross_cats_sorted":["math.MP","math.PR"],"title_canon_sha256":"735574082c737d915201ef5b14105b558dfe2ce25140529bc930c2220da3db83","abstract_canon_sha256":"1f7c300afce091c278ad34b1d95f2b9a1d80be0897902e32e4434c78c7617f7f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:07:42.212810Z","signature_b64":"1FhGdLZWLRkYqYwuUBZ6eRyR7yIEUnVKbRI2d05dZelBUigMgA3Fb6vIQH+DE7RzHdIpqloZdk82lm6/9ImmBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"05e73708e10fdb05e72938861e18e0bf8cd01c0dac0a76858eda6550e4206408","last_reissued_at":"2026-05-18T02:07:42.212015Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:07:42.212015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Low-temperature dynamics of the Curie-Weiss Model: Periodic orbits, multiple histories, and loss of Gibbsianness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Christof Kuelske, Victor Ermolaev","submitted_at":"2010-05-06T09:50:42Z","abstract_excerpt":"We consider the Curie-Weiss model at a given initial temperature in vanishing external field evolving under a Glauber spin-flip dynamics corresponding to a possibly different temperature. We study the limiting conditional probabilities and their continuity properties and discuss their set of points of discontinuity (bad points). We provide a complete analysis of the transition between Gibbsian and non-Gibbsian behavior as a function of time, extending earlier work for the case of independent spin-flip dynamics. For initial temperature bigger than one we prove that the time-evolved measure stay"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.0954","kind":"arxiv","version":2},"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":"1005.0954","created_at":"2026-05-18T02:07:42.212143+00:00"},{"alias_kind":"arxiv_version","alias_value":"1005.0954v2","created_at":"2026-05-18T02:07:42.212143+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.0954","created_at":"2026-05-18T02:07:42.212143+00:00"},{"alias_kind":"pith_short_12","alias_value":"AXTTOCHBB7NQ","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_16","alias_value":"AXTTOCHBB7NQLZZJ","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_8","alias_value":"AXTTOCHB","created_at":"2026-05-18T12:26:05.355336+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/AXTTOCHBB7NQLZZJHCDB4GHAX6","json":"https://pith.science/pith/AXTTOCHBB7NQLZZJHCDB4GHAX6.json","graph_json":"https://pith.science/api/pith-number/AXTTOCHBB7NQLZZJHCDB4GHAX6/graph.json","events_json":"https://pith.science/api/pith-number/AXTTOCHBB7NQLZZJHCDB4GHAX6/events.json","paper":"https://pith.science/paper/AXTTOCHB"},"agent_actions":{"view_html":"https://pith.science/pith/AXTTOCHBB7NQLZZJHCDB4GHAX6","download_json":"https://pith.science/pith/AXTTOCHBB7NQLZZJHCDB4GHAX6.json","view_paper":"https://pith.science/paper/AXTTOCHB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1005.0954&json=true","fetch_graph":"https://pith.science/api/pith-number/AXTTOCHBB7NQLZZJHCDB4GHAX6/graph.json","fetch_events":"https://pith.science/api/pith-number/AXTTOCHBB7NQLZZJHCDB4GHAX6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AXTTOCHBB7NQLZZJHCDB4GHAX6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AXTTOCHBB7NQLZZJHCDB4GHAX6/action/storage_attestation","attest_author":"https://pith.science/pith/AXTTOCHBB7NQLZZJHCDB4GHAX6/action/author_attestation","sign_citation":"https://pith.science/pith/AXTTOCHBB7NQLZZJHCDB4GHAX6/action/citation_signature","submit_replication":"https://pith.science/pith/AXTTOCHBB7NQLZZJHCDB4GHAX6/action/replication_record"}},"created_at":"2026-05-18T02:07:42.212143+00:00","updated_at":"2026-05-18T02:07:42.212143+00:00"}