{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:J7GSKAINIMYE2H2PCDSKHD26JO","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":"c1668780500e8fe2c5aeaceb881ee60296bbcdd856465df38e6aa31ad6142c4e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-01-31T05:49:10Z","title_canon_sha256":"a882a0da88c76f06edb6b37c8a109b970c2ae5fb2298ccce0685642a0cf32083"},"schema_version":"1.0","source":{"id":"2502.00073","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.00073","created_at":"2026-07-05T10:08:02Z"},{"alias_kind":"arxiv_version","alias_value":"2502.00073v1","created_at":"2026-07-05T10:08:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.00073","created_at":"2026-07-05T10:08:02Z"},{"alias_kind":"pith_short_12","alias_value":"J7GSKAINIMYE","created_at":"2026-07-05T10:08:02Z"},{"alias_kind":"pith_short_16","alias_value":"J7GSKAINIMYE2H2P","created_at":"2026-07-05T10:08:02Z"},{"alias_kind":"pith_short_8","alias_value":"J7GSKAIN","created_at":"2026-07-05T10:08:02Z"}],"graph_snapshots":[{"event_id":"sha256:65ab6ac7fc963469678250df4441a727bd807c289c6ed90c80076d8edb3b3665","target":"graph","created_at":"2026-07-05T10:08:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2502.00073/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article, we review the metastable hierarchy in low-temperature lattice models. In the first part, we state that for any abstract lattice system governed by a Hamiltonian potential and evolving according to a Metropolis-type dynamics, there exists a hierarchical decomposition of the collection of stable plateaux in the system into multiple $\\mathfrak{m}$ levels, such that at each level there exist tunneling metastable transitions between the stable plateaux, which can be characterized by convergence to a simple Markov chain as the inverse temperature $\\beta$ tends to infinity. In the se","authors_text":"Seonwoo Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-01-31T05:49:10Z","title":"Metastable Hierarchy in Abstract Low-Temperature Lattice Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.00073","kind":"arxiv","version":1},"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:ec910b7e3be8c0a1b5dcf074591f06bcb839ec74c46ec6f73171b94506fc1059","target":"record","created_at":"2026-07-05T10:08:02Z","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":"c1668780500e8fe2c5aeaceb881ee60296bbcdd856465df38e6aa31ad6142c4e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-01-31T05:49:10Z","title_canon_sha256":"a882a0da88c76f06edb6b37c8a109b970c2ae5fb2298ccce0685642a0cf32083"},"schema_version":"1.0","source":{"id":"2502.00073","kind":"arxiv","version":1}},"canonical_sha256":"4fcd25010d43304d1f4f10e4a38f5e4ba74930e91feb49f73fe7346ca79c25f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fcd25010d43304d1f4f10e4a38f5e4ba74930e91feb49f73fe7346ca79c25f4","first_computed_at":"2026-07-05T10:08:02.680286Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:08:02.680286Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ghfw8StrBfxbq0ZmpfR+ew4BR6S5iB4TTmaHdIfyEryNnw0xN5MIjbzGiCEPQxCgLFY/sApUbReoY5mXsH1MAw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:08:02.680751Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.00073","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec910b7e3be8c0a1b5dcf074591f06bcb839ec74c46ec6f73171b94506fc1059","sha256:65ab6ac7fc963469678250df4441a727bd807c289c6ed90c80076d8edb3b3665"],"state_sha256":"b2197229438785ffa1045b6fc36a2285846de8e70f0b76e1fdc220c8b39180e6"}