{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:VVSAZS3HD6NTCD37DP3WH3PLN5","short_pith_number":"pith:VVSAZS3H","schema_version":"1.0","canonical_sha256":"ad640ccb671f9b310f7f1bf763edeb6f7ef6d0c9df543b7246bbfef96494d7cd","source":{"kind":"arxiv","id":"1604.02464","version":2},"attestation_state":"computed","paper":{"title":"Geometrical mutual information at the tricritical point of the two-dimensional Blume-Capel model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Ipsita Mandal, Roger G. Melko, Stephen Inglis","submitted_at":"2016-04-08T20:01:07Z","abstract_excerpt":"The spin-1 classical Blume-Capel model on a square lattice is known to exhibit a finite-temperature phase transition described by the tricritical Ising CFT in 1+1 space-time dimensions. This phase transition can be accessed with classical Monte Carlo simulations, which, via a replica-trick calculation, can be used to study the shape-dependence of the classical R\\'enyi entropies for a torus divided into two cylinders. From the second R\\'enyi entropy, we calculate the Geometrical Mutual Information (GMI) introduced by St\\'ephan et. al. [Phys. Rev. Lett. 112, 127204 (2014)] and use it to extract "},"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":"1604.02464","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-04-08T20:01:07Z","cross_cats_sorted":["cond-mat.str-el","hep-th","quant-ph"],"title_canon_sha256":"d58da91cd11d33385d5f8f0c0e2b85d88e00c26a42e452aff71bc7e26fe9249c","abstract_canon_sha256":"30bbee5c33c92b69428a34a0100a96bca7ef07201b60405bf36b152ffeb8df2a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:42.680969Z","signature_b64":"CZtqMtmJQd+BZlqDgP0R8xp0lKA6WzOsa9brQ7V42qRdJSrYhAQ994W0YECqTyO64N1cw/8dwp7FrQDT6dtHCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad640ccb671f9b310f7f1bf763edeb6f7ef6d0c9df543b7246bbfef96494d7cd","last_reissued_at":"2026-05-18T01:10:42.680482Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:42.680482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometrical mutual information at the tricritical point of the two-dimensional Blume-Capel model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Ipsita Mandal, Roger G. Melko, Stephen Inglis","submitted_at":"2016-04-08T20:01:07Z","abstract_excerpt":"The spin-1 classical Blume-Capel model on a square lattice is known to exhibit a finite-temperature phase transition described by the tricritical Ising CFT in 1+1 space-time dimensions. This phase transition can be accessed with classical Monte Carlo simulations, which, via a replica-trick calculation, can be used to study the shape-dependence of the classical R\\'enyi entropies for a torus divided into two cylinders. From the second R\\'enyi entropy, we calculate the Geometrical Mutual Information (GMI) introduced by St\\'ephan et. al. [Phys. Rev. Lett. 112, 127204 (2014)] and use it to extract "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02464","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":"1604.02464","created_at":"2026-05-18T01:10:42.680578+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.02464v2","created_at":"2026-05-18T01:10:42.680578+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02464","created_at":"2026-05-18T01:10:42.680578+00:00"},{"alias_kind":"pith_short_12","alias_value":"VVSAZS3HD6NT","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_16","alias_value":"VVSAZS3HD6NTCD37","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_8","alias_value":"VVSAZS3H","created_at":"2026-05-18T12:30:48.956258+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/VVSAZS3HD6NTCD37DP3WH3PLN5","json":"https://pith.science/pith/VVSAZS3HD6NTCD37DP3WH3PLN5.json","graph_json":"https://pith.science/api/pith-number/VVSAZS3HD6NTCD37DP3WH3PLN5/graph.json","events_json":"https://pith.science/api/pith-number/VVSAZS3HD6NTCD37DP3WH3PLN5/events.json","paper":"https://pith.science/paper/VVSAZS3H"},"agent_actions":{"view_html":"https://pith.science/pith/VVSAZS3HD6NTCD37DP3WH3PLN5","download_json":"https://pith.science/pith/VVSAZS3HD6NTCD37DP3WH3PLN5.json","view_paper":"https://pith.science/paper/VVSAZS3H","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.02464&json=true","fetch_graph":"https://pith.science/api/pith-number/VVSAZS3HD6NTCD37DP3WH3PLN5/graph.json","fetch_events":"https://pith.science/api/pith-number/VVSAZS3HD6NTCD37DP3WH3PLN5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VVSAZS3HD6NTCD37DP3WH3PLN5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VVSAZS3HD6NTCD37DP3WH3PLN5/action/storage_attestation","attest_author":"https://pith.science/pith/VVSAZS3HD6NTCD37DP3WH3PLN5/action/author_attestation","sign_citation":"https://pith.science/pith/VVSAZS3HD6NTCD37DP3WH3PLN5/action/citation_signature","submit_replication":"https://pith.science/pith/VVSAZS3HD6NTCD37DP3WH3PLN5/action/replication_record"}},"created_at":"2026-05-18T01:10:42.680578+00:00","updated_at":"2026-05-18T01:10:42.680578+00:00"}