{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VAKWG34HTLUJOPRB7CVBZD7O2B","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":"20ffd9e21d232c5f7a52f5cfa435e843e723859087397d37d52cc54641e55aa8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-13T09:25:15Z","title_canon_sha256":"14f3d90fa602ffca02edd181849393ce1ef3e8fc0676f5085f6262029901d6c3"},"schema_version":"1.0","source":{"id":"2605.13238","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.13238","created_at":"2026-05-18T02:44:49Z"},{"alias_kind":"arxiv_version","alias_value":"2605.13238v1","created_at":"2026-05-18T02:44:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.13238","created_at":"2026-05-18T02:44:49Z"},{"alias_kind":"pith_short_12","alias_value":"VAKWG34HTLUJ","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"VAKWG34HTLUJOPRB","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"VAKWG34H","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:4d8f8a6315da65216fb7bbd4511f7748893dc9d491f401a2589323498b6c1b45","target":"graph","created_at":"2026-05-18T02:44:49Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"Our results provide strong evidence for continuously varying critical exponents at finite dilution and reveal a crossover to first-order behavior. Along the line of continuous transitions, the central charge remains close to c=1, while the scaling dimensions systematically deviate from the spin-1/2 limit as the crystal field increases, eventually giving way to a first-order regime at strong fields."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"That the numerical methods employed (transfer-matrix and Monte Carlo) sufficiently suppress finite-size effects and sampling biases to reliably detect the continuous variation of exponents and the crossover point."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Numerical simulations reveal continuously varying critical exponents in the dilute Baxter-Wu model that cross over to first-order behavior at strong crystal fields, with central charge near 1."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"The dilute spin-1 Baxter-Wu model features continuously varying critical exponents along a line of continuous transitions before crossing over to first-order behavior."}],"snapshot_sha256":"775b4f50830f4590db9ff552eb1445c9add245597ac7906e49deec1ee8eae43f"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The critical behavior of the Baxter-Wu model belongs to the universality class of the four-state Potts model. While the introduction of annealed vacancies does not alter the criticality of the four-state Potts model, the dilute Baxter-Wu model has remained the subject of several competing scenarios. Here we investigate the phase diagram of the spin-$1$ Baxter-Wu model in the presence of a crystal field using transfer-matrix calculations and large-scale Monte Carlo simulations. Our results provide strong evidence for continuously varying critical exponents at finite dilution and reveal a crosso","authors_text":"Alexandros Vasilopoulos, Dimitrios Mataragkas, Dong-Hee Kim, Nikolaos G. Fytas","cross_cats":[],"headline":"The dilute spin-1 Baxter-Wu model features continuously varying critical exponents along a line of continuous transitions before crossing over to first-order behavior.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-13T09:25:15Z","title":"Crossover and universality breaking in the dilute Baxter-Wu model"},"references":{"count":38,"internal_anchors":0,"resolved_work":38,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":", wherek B de- notes the Boltzmann constant","work_id":"f34f55c3-fcae-4731-b297-ec24649c4f22","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"Sparse-matrix factorization We construct the transfer matrixTin the two-layer geometry of the triangular lattice following the sparse- matrix factorization introduced in Ref. [17]. We adopt the same c","work_id":"999cc7cb-f100-4113-86d0-c02c80d9c521","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"Assuming a second-order tran- sition for fixed∆≤1, we locate the crossing point TM,M+3 of the scaled correlation length,ξ M /M≡ [Mln(λ 0/λ1)]−1, between strips of widthsMandM+ 3","work_id":"69a4bf9b-9a6d-41ed-9068-c53703512f2a","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"D. W. Wood and H. P. Griffiths, A self dual relation for an Ising model with triplet interactions, J. Phys. C: Solid State Phys.5, L253 (1972)","work_id":"cad0e0aa-c94a-4977-b1d6-71150d94a230","year":1972},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"R. J. Baxter and F. Y. Wu, Exact solution of an Ising model with three-spin interactions on a triangular lattice, Phys. Rev. Lett.31, 1294 (1973)","work_id":"1be522cf-3689-429b-811e-ae0c6f952a7d","year":1973}],"snapshot_sha256":"434970868cabcf62db1aff9fd5f211afedab7d89429bde023c4648df25114ff4"},"source":{"id":"2605.13238","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-14T17:48:54.650703Z","id":"74483bb5-a78d-49c7-8164-f41a46da99e2","model_set":{"reader":"grok-4.3"},"one_line_summary":"Numerical simulations reveal continuously varying critical exponents in the dilute Baxter-Wu model that cross over to first-order behavior at strong crystal fields, with central charge near 1.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"The dilute spin-1 Baxter-Wu model features continuously varying critical exponents along a line of continuous transitions before crossing over to first-order behavior.","strongest_claim":"Our results provide strong evidence for continuously varying critical exponents at finite dilution and reveal a crossover to first-order behavior. Along the line of continuous transitions, the central charge remains close to c=1, while the scaling dimensions systematically deviate from the spin-1/2 limit as the crystal field increases, eventually giving way to a first-order regime at strong fields.","weakest_assumption":"That the numerical methods employed (transfer-matrix and Monte Carlo) sufficiently suppress finite-size effects and sampling biases to reliably detect the continuous variation of exponents and the crossover point."}},"verdict_id":"74483bb5-a78d-49c7-8164-f41a46da99e2"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:132bb807bed52ee4be9acda63526bf1bd7edcc1c29c1997b0c9255e794a7596f","target":"record","created_at":"2026-05-18T02:44:49Z","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":"20ffd9e21d232c5f7a52f5cfa435e843e723859087397d37d52cc54641e55aa8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-13T09:25:15Z","title_canon_sha256":"14f3d90fa602ffca02edd181849393ce1ef3e8fc0676f5085f6262029901d6c3"},"schema_version":"1.0","source":{"id":"2605.13238","kind":"arxiv","version":1}},"canonical_sha256":"a815636f879ae8973e21f8aa1c8feed071cd3dfcde2e5f521741ea4d3b3a656e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a815636f879ae8973e21f8aa1c8feed071cd3dfcde2e5f521741ea4d3b3a656e","first_computed_at":"2026-05-18T02:44:49.528870Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:49.528870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hm4uo+Azs0lUo/CnzLzeLBwGTgO/AEsP1xm/agmhoMnAPzYhNeblml1y0ocup9WvNDYCvcbJSdDVC2cnLn+jAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:49.529347Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.13238","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:132bb807bed52ee4be9acda63526bf1bd7edcc1c29c1997b0c9255e794a7596f","sha256:4d8f8a6315da65216fb7bbd4511f7748893dc9d491f401a2589323498b6c1b45"],"state_sha256":"4150115f56307523dc28f0c71f6dc7033f6860c8aaa6f170d38d3c972ae68175"}