{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:4GRIZHAPKNMB4TBGNSBPDFYWVS","short_pith_number":"pith:4GRIZHAP","schema_version":"1.0","canonical_sha256":"e1a28c9c0f53581e4c266c82f19716ac8d14719ac4661123870fe85e75a02149","source":{"kind":"arxiv","id":"cond-mat/0104400","version":1},"attestation_state":"computed","paper":{"title":"Theory of the phase transition from a disordered cubic crystal to a glass","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"D.C. Mattis, J. M. Yanez, M. I. Molina","submitted_at":"2001-04-20T20:04:34Z","abstract_excerpt":"We calculate thermodynamic properties of a disordered model insulator, starting from the ideal simple-cubic lattice ($g = 0$) and increasing the disorder parameter $g$ to $\\gg 1/2$. As in the earlier Einstein- and Debye- approximations, the ground state energy is discontinuous at $g_{c} = 1/2$. For $g<g_{c}$ the low-T heat-capacity $C \\sim T^{3}$ whereas for $g>g_{c}$, $C \\sim T$. The van Hove singularities disappear at {\\em any} finite magnitude $g$ of the disorder. For $g>1/2$ we discover novel {\\em fixed points} in the self-energy and spectral density of this model glass."},"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":"cond-mat/0104400","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-04-20T20:04:34Z","cross_cats_sorted":[],"title_canon_sha256":"867d3d980d2112624f1e84d0d9f2e96174af3c13aca94d9740d5be2e26c92388","abstract_canon_sha256":"904f080ec00ac5c53774afa5cfb21810cf87a47a2178a1a5794deb9a30a8b707"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:03.041206Z","signature_b64":"r/pMNwrulFLqcMiVc1LRintcRBlKdfBquIsxhgLLdejvW3fz9JYOtMsujL5yJWRwH3VXetnaQ0SaBg16r6TPDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1a28c9c0f53581e4c266c82f19716ac8d14719ac4661123870fe85e75a02149","last_reissued_at":"2026-05-18T01:07:03.040583Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:03.040583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Theory of the phase transition from a disordered cubic crystal to a glass","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"D.C. Mattis, J. M. Yanez, M. I. Molina","submitted_at":"2001-04-20T20:04:34Z","abstract_excerpt":"We calculate thermodynamic properties of a disordered model insulator, starting from the ideal simple-cubic lattice ($g = 0$) and increasing the disorder parameter $g$ to $\\gg 1/2$. As in the earlier Einstein- and Debye- approximations, the ground state energy is discontinuous at $g_{c} = 1/2$. For $g<g_{c}$ the low-T heat-capacity $C \\sim T^{3}$ whereas for $g>g_{c}$, $C \\sim T$. The van Hove singularities disappear at {\\em any} finite magnitude $g$ of the disorder. For $g>1/2$ we discover novel {\\em fixed points} in the self-energy and spectral density of this model glass."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0104400","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":"cond-mat/0104400","created_at":"2026-05-18T01:07:03.040670+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0104400v1","created_at":"2026-05-18T01:07:03.040670+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0104400","created_at":"2026-05-18T01:07:03.040670+00:00"},{"alias_kind":"pith_short_12","alias_value":"4GRIZHAPKNMB","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_16","alias_value":"4GRIZHAPKNMB4TBG","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_8","alias_value":"4GRIZHAP","created_at":"2026-05-18T12:25:50.254431+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/4GRIZHAPKNMB4TBGNSBPDFYWVS","json":"https://pith.science/pith/4GRIZHAPKNMB4TBGNSBPDFYWVS.json","graph_json":"https://pith.science/api/pith-number/4GRIZHAPKNMB4TBGNSBPDFYWVS/graph.json","events_json":"https://pith.science/api/pith-number/4GRIZHAPKNMB4TBGNSBPDFYWVS/events.json","paper":"https://pith.science/paper/4GRIZHAP"},"agent_actions":{"view_html":"https://pith.science/pith/4GRIZHAPKNMB4TBGNSBPDFYWVS","download_json":"https://pith.science/pith/4GRIZHAPKNMB4TBGNSBPDFYWVS.json","view_paper":"https://pith.science/paper/4GRIZHAP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0104400&json=true","fetch_graph":"https://pith.science/api/pith-number/4GRIZHAPKNMB4TBGNSBPDFYWVS/graph.json","fetch_events":"https://pith.science/api/pith-number/4GRIZHAPKNMB4TBGNSBPDFYWVS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4GRIZHAPKNMB4TBGNSBPDFYWVS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4GRIZHAPKNMB4TBGNSBPDFYWVS/action/storage_attestation","attest_author":"https://pith.science/pith/4GRIZHAPKNMB4TBGNSBPDFYWVS/action/author_attestation","sign_citation":"https://pith.science/pith/4GRIZHAPKNMB4TBGNSBPDFYWVS/action/citation_signature","submit_replication":"https://pith.science/pith/4GRIZHAPKNMB4TBGNSBPDFYWVS/action/replication_record"}},"created_at":"2026-05-18T01:07:03.040670+00:00","updated_at":"2026-05-18T01:07:03.040670+00:00"}