{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:RPXHEWFUBXT4DLVXJDOSLI7A2C","short_pith_number":"pith:RPXHEWFU","schema_version":"1.0","canonical_sha256":"8bee7258b40de7c1aeb748dd25a3e0d098ad5753ba6dbaab4b9c8198a3ce7db4","source":{"kind":"arxiv","id":"1708.09677","version":2},"attestation_state":"computed","paper":{"title":"Tunneling behavior of Ising and Potts models in the low-temperature regime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"math.PR","authors_text":"Alessandro Zocca, Francesca R. Nardi","submitted_at":"2017-08-31T11:53:29Z","abstract_excerpt":"We consider the ferromagnetic $q$-state Potts model with zero external field in a finite volume and assume that the stochastic evolution of this system is described by a Glauber-type dynamics parametrized by the inverse temperature $\\beta$. Our analysis concerns the low-temperature regime $\\beta \\to \\infty$, in which this multi-spin system has $q$ stable equilibria, corresponding to the configurations where all spins are equal. Focusing on grid graphs with various boundary conditions, we study the tunneling phenomena of the $q$-state Potts model. More specifically, we describe the asymptotic b"},"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":"1708.09677","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-08-31T11:53:29Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"060bfc3132a22af70f72e0f6a1d1428acb462169e0354b99a72c23b79a7e4100","abstract_canon_sha256":"9a355c599d5575d6ed0ecb31caa91ea8370e9fc6a239ee2be32279a856756359"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:54.293075Z","signature_b64":"VMwak2ebFG61P/pPXnWarRlF8WBTxyZFKJnQAA/e3UZgavfN7268+9H39jgW5goFsX/+gLw6f6R3wrMKQuxvCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8bee7258b40de7c1aeb748dd25a3e0d098ad5753ba6dbaab4b9c8198a3ce7db4","last_reissued_at":"2026-05-17T23:57:54.292395Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:54.292395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tunneling behavior of Ising and Potts models in the low-temperature regime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"math.PR","authors_text":"Alessandro Zocca, Francesca R. Nardi","submitted_at":"2017-08-31T11:53:29Z","abstract_excerpt":"We consider the ferromagnetic $q$-state Potts model with zero external field in a finite volume and assume that the stochastic evolution of this system is described by a Glauber-type dynamics parametrized by the inverse temperature $\\beta$. Our analysis concerns the low-temperature regime $\\beta \\to \\infty$, in which this multi-spin system has $q$ stable equilibria, corresponding to the configurations where all spins are equal. Focusing on grid graphs with various boundary conditions, we study the tunneling phenomena of the $q$-state Potts model. More specifically, we describe the asymptotic b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.09677","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":"1708.09677","created_at":"2026-05-17T23:57:54.292506+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.09677v2","created_at":"2026-05-17T23:57:54.292506+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.09677","created_at":"2026-05-17T23:57:54.292506+00:00"},{"alias_kind":"pith_short_12","alias_value":"RPXHEWFUBXT4","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"RPXHEWFUBXT4DLVX","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"RPXHEWFU","created_at":"2026-05-18T12:31:39.905425+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/RPXHEWFUBXT4DLVXJDOSLI7A2C","json":"https://pith.science/pith/RPXHEWFUBXT4DLVXJDOSLI7A2C.json","graph_json":"https://pith.science/api/pith-number/RPXHEWFUBXT4DLVXJDOSLI7A2C/graph.json","events_json":"https://pith.science/api/pith-number/RPXHEWFUBXT4DLVXJDOSLI7A2C/events.json","paper":"https://pith.science/paper/RPXHEWFU"},"agent_actions":{"view_html":"https://pith.science/pith/RPXHEWFUBXT4DLVXJDOSLI7A2C","download_json":"https://pith.science/pith/RPXHEWFUBXT4DLVXJDOSLI7A2C.json","view_paper":"https://pith.science/paper/RPXHEWFU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.09677&json=true","fetch_graph":"https://pith.science/api/pith-number/RPXHEWFUBXT4DLVXJDOSLI7A2C/graph.json","fetch_events":"https://pith.science/api/pith-number/RPXHEWFUBXT4DLVXJDOSLI7A2C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RPXHEWFUBXT4DLVXJDOSLI7A2C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RPXHEWFUBXT4DLVXJDOSLI7A2C/action/storage_attestation","attest_author":"https://pith.science/pith/RPXHEWFUBXT4DLVXJDOSLI7A2C/action/author_attestation","sign_citation":"https://pith.science/pith/RPXHEWFUBXT4DLVXJDOSLI7A2C/action/citation_signature","submit_replication":"https://pith.science/pith/RPXHEWFUBXT4DLVXJDOSLI7A2C/action/replication_record"}},"created_at":"2026-05-17T23:57:54.292506+00:00","updated_at":"2026-05-17T23:57:54.292506+00:00"}