{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1993:QS5KNXPP2LUR25CFOH5PIOD4JV","short_pith_number":"pith:QS5KNXPP","schema_version":"1.0","canonical_sha256":"84baa6ddefd2e91d744571faf4387c4d5a448c6b9b8e19d1aafca5e0aa7e8f92","source":{"kind":"arxiv","id":"cond-mat/9301017","version":2},"attestation_state":"computed","paper":{"title":"Stable quasicrystalline ground states","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Jacek Miekisz","submitted_at":"1993-01-14T09:13:39Z","abstract_excerpt":"We give a strong evidence that noncrystalline materials such as quasicrystals or incommensurate solids are not exceptions but rather are generic in some regions of a phase space. We show this by constructing classical lattice-gas models with translation-invariant, finite-range interactions and with a unique quasiperiodic ground state which is stable against small perturbations of two-body potentials. More generally, we provide a criterion for stability of nonperiodic ground states."},"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/9301017","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1993-01-14T09:13:39Z","cross_cats_sorted":[],"title_canon_sha256":"efcd60e9205299e1666c1ec7793dd7b26170b855978319d3d5689217853b9746","abstract_canon_sha256":"a373e44f65534fb1d84f458e056c0f6337b9f53fe825c57cc4235b0dfb9377aa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:37.665029Z","signature_b64":"gQgFv66/owM6mALS0EHTxQLUfQmgTh47ov1H5V/gbGTIEbnsXL7D8QuSI05XPptuC7mJnSwG5iIy9UwFhaFNDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84baa6ddefd2e91d744571faf4387c4d5a448c6b9b8e19d1aafca5e0aa7e8f92","last_reissued_at":"2026-05-18T01:39:37.664381Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:37.664381Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stable quasicrystalline ground states","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Jacek Miekisz","submitted_at":"1993-01-14T09:13:39Z","abstract_excerpt":"We give a strong evidence that noncrystalline materials such as quasicrystals or incommensurate solids are not exceptions but rather are generic in some regions of a phase space. We show this by constructing classical lattice-gas models with translation-invariant, finite-range interactions and with a unique quasiperiodic ground state which is stable against small perturbations of two-body potentials. More generally, we provide a criterion for stability of nonperiodic ground states."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9301017","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":"cond-mat/9301017","created_at":"2026-05-18T01:39:37.664483+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9301017v2","created_at":"2026-05-18T01:39:37.664483+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9301017","created_at":"2026-05-18T01:39:37.664483+00:00"},{"alias_kind":"pith_short_12","alias_value":"QS5KNXPP2LUR","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_16","alias_value":"QS5KNXPP2LUR25CF","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_8","alias_value":"QS5KNXPP","created_at":"2026-05-18T12:25:47.102015+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/QS5KNXPP2LUR25CFOH5PIOD4JV","json":"https://pith.science/pith/QS5KNXPP2LUR25CFOH5PIOD4JV.json","graph_json":"https://pith.science/api/pith-number/QS5KNXPP2LUR25CFOH5PIOD4JV/graph.json","events_json":"https://pith.science/api/pith-number/QS5KNXPP2LUR25CFOH5PIOD4JV/events.json","paper":"https://pith.science/paper/QS5KNXPP"},"agent_actions":{"view_html":"https://pith.science/pith/QS5KNXPP2LUR25CFOH5PIOD4JV","download_json":"https://pith.science/pith/QS5KNXPP2LUR25CFOH5PIOD4JV.json","view_paper":"https://pith.science/paper/QS5KNXPP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/9301017&json=true","fetch_graph":"https://pith.science/api/pith-number/QS5KNXPP2LUR25CFOH5PIOD4JV/graph.json","fetch_events":"https://pith.science/api/pith-number/QS5KNXPP2LUR25CFOH5PIOD4JV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QS5KNXPP2LUR25CFOH5PIOD4JV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QS5KNXPP2LUR25CFOH5PIOD4JV/action/storage_attestation","attest_author":"https://pith.science/pith/QS5KNXPP2LUR25CFOH5PIOD4JV/action/author_attestation","sign_citation":"https://pith.science/pith/QS5KNXPP2LUR25CFOH5PIOD4JV/action/citation_signature","submit_replication":"https://pith.science/pith/QS5KNXPP2LUR25CFOH5PIOD4JV/action/replication_record"}},"created_at":"2026-05-18T01:39:37.664483+00:00","updated_at":"2026-05-18T01:39:37.664483+00:00"}