{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:XPTUGUCQEPUDHFUI46A6AFR2XA","short_pith_number":"pith:XPTUGUCQ","schema_version":"1.0","canonical_sha256":"bbe743505023e8339688e781e0163ab80f37fa25e15b1fea286a1468ce19a9ed","source":{"kind":"arxiv","id":"1406.2905","version":1},"attestation_state":"computed","paper":{"title":"Emergence of limit-periodic order in tiling models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.stat-mech","authors_text":"Catherine Marcoux, Joshua E. S. Socolar, Patrick Charbonneau, Travis W. Byington, Zongjin Qian","submitted_at":"2014-06-11T13:50:58Z","abstract_excerpt":"A 2D lattice model defined on a triangular lattice with nearest- and next-nearest-neighbor interactions based on the Taylor-Socolar monotile is known to have a limit-periodic ground state. The system reaches that state during a slow quench through an infinite sequence of phase transitions. We study the model as a function of the strength of the next-nearest-neighbor interactions, and introduce closely related 3D models with only nearest-neighbor interactions that exhibit limit-periodic phases. For models with no next-nearest-neighbor interactions of the Taylor-Socolar type, there is a large de"},"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":"1406.2905","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-06-11T13:50:58Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"6dfed150d1e7a511432a23b427ae3b9a18946a79a80a0fd09f62f6f874ca4e98","abstract_canon_sha256":"fe0938bd03b5dfa161c006e8b3a8495bb99ca42ce04f564d31662deee9042320"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:23.778217Z","signature_b64":"qEGAVTZ4MCNOvZXPFyNtFVTdWlozBCkskiDFZpzpAMa/ppRMHfzJ7Z87tXfYLGh2Y4q0aqfWLpvofS7mVGEIAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbe743505023e8339688e781e0163ab80f37fa25e15b1fea286a1468ce19a9ed","last_reissued_at":"2026-05-18T02:18:23.777630Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:23.777630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Emergence of limit-periodic order in tiling models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.stat-mech","authors_text":"Catherine Marcoux, Joshua E. S. Socolar, Patrick Charbonneau, Travis W. Byington, Zongjin Qian","submitted_at":"2014-06-11T13:50:58Z","abstract_excerpt":"A 2D lattice model defined on a triangular lattice with nearest- and next-nearest-neighbor interactions based on the Taylor-Socolar monotile is known to have a limit-periodic ground state. The system reaches that state during a slow quench through an infinite sequence of phase transitions. We study the model as a function of the strength of the next-nearest-neighbor interactions, and introduce closely related 3D models with only nearest-neighbor interactions that exhibit limit-periodic phases. For models with no next-nearest-neighbor interactions of the Taylor-Socolar type, there is a large de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2905","kind":"arxiv","version":1},"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":"1406.2905","created_at":"2026-05-18T02:18:23.777739+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.2905v1","created_at":"2026-05-18T02:18:23.777739+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2905","created_at":"2026-05-18T02:18:23.777739+00:00"},{"alias_kind":"pith_short_12","alias_value":"XPTUGUCQEPUD","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"XPTUGUCQEPUDHFUI","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"XPTUGUCQ","created_at":"2026-05-18T12:28:57.508820+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/XPTUGUCQEPUDHFUI46A6AFR2XA","json":"https://pith.science/pith/XPTUGUCQEPUDHFUI46A6AFR2XA.json","graph_json":"https://pith.science/api/pith-number/XPTUGUCQEPUDHFUI46A6AFR2XA/graph.json","events_json":"https://pith.science/api/pith-number/XPTUGUCQEPUDHFUI46A6AFR2XA/events.json","paper":"https://pith.science/paper/XPTUGUCQ"},"agent_actions":{"view_html":"https://pith.science/pith/XPTUGUCQEPUDHFUI46A6AFR2XA","download_json":"https://pith.science/pith/XPTUGUCQEPUDHFUI46A6AFR2XA.json","view_paper":"https://pith.science/paper/XPTUGUCQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.2905&json=true","fetch_graph":"https://pith.science/api/pith-number/XPTUGUCQEPUDHFUI46A6AFR2XA/graph.json","fetch_events":"https://pith.science/api/pith-number/XPTUGUCQEPUDHFUI46A6AFR2XA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XPTUGUCQEPUDHFUI46A6AFR2XA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XPTUGUCQEPUDHFUI46A6AFR2XA/action/storage_attestation","attest_author":"https://pith.science/pith/XPTUGUCQEPUDHFUI46A6AFR2XA/action/author_attestation","sign_citation":"https://pith.science/pith/XPTUGUCQEPUDHFUI46A6AFR2XA/action/citation_signature","submit_replication":"https://pith.science/pith/XPTUGUCQEPUDHFUI46A6AFR2XA/action/replication_record"}},"created_at":"2026-05-18T02:18:23.777739+00:00","updated_at":"2026-05-18T02:18:23.777739+00:00"}