{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:QX7PXF6GMLSYNAGUNVEUKU4T54","short_pith_number":"pith:QX7PXF6G","schema_version":"1.0","canonical_sha256":"85fefb97c662e58680d46d49455393ef0695de4d1422d1b40b18551f8f544b68","source":{"kind":"arxiv","id":"1906.01085","version":1},"attestation_state":"computed","paper":{"title":"Unavoidable disorder and entropy in multi-component systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Corey Oses, Cormac Toher, David Hicks, Stefano Curtarolo","submitted_at":"2019-06-03T21:25:03Z","abstract_excerpt":"The need for improved functionalities is driving the search for more complicated multi-component materials. Despite the factorially increasing composition space, ordered compounds with 4 or more species are rare. Here, we unveil the competition between the gain in enthalpy and entropy with increasing number of species by statistical analysis of the AFLOW data repositories. A threshold in the number of species is found where entropy gain exceeds enthalpy gain. Beyond that, enthalpy can be neglected, and disorder - complete or partial - is unavoidable."},"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":"1906.01085","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2019-06-03T21:25:03Z","cross_cats_sorted":[],"title_canon_sha256":"6ccba71b496c0e40bd2b95fac1ea488418a3512a704b90675e9b41a9b50fb574","abstract_canon_sha256":"783966fe2b76e63e911033cd4eb0e0fcabaf4078195fe96e2ca5404411ad1a0a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:17.891240Z","signature_b64":"LGY5N/teGblsvH+CYTIYKRRuAZQjd45YXZzBq+mabP59Xnbjp8Jd3bkSCR7tCoUjtJSztKUdcwSb7ycflRLTBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85fefb97c662e58680d46d49455393ef0695de4d1422d1b40b18551f8f544b68","last_reissued_at":"2026-05-17T23:44:17.890621Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:17.890621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unavoidable disorder and entropy in multi-component systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Corey Oses, Cormac Toher, David Hicks, Stefano Curtarolo","submitted_at":"2019-06-03T21:25:03Z","abstract_excerpt":"The need for improved functionalities is driving the search for more complicated multi-component materials. Despite the factorially increasing composition space, ordered compounds with 4 or more species are rare. Here, we unveil the competition between the gain in enthalpy and entropy with increasing number of species by statistical analysis of the AFLOW data repositories. A threshold in the number of species is found where entropy gain exceeds enthalpy gain. Beyond that, enthalpy can be neglected, and disorder - complete or partial - is unavoidable."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.01085","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":"1906.01085","created_at":"2026-05-17T23:44:17.890707+00:00"},{"alias_kind":"arxiv_version","alias_value":"1906.01085v1","created_at":"2026-05-17T23:44:17.890707+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.01085","created_at":"2026-05-17T23:44:17.890707+00:00"},{"alias_kind":"pith_short_12","alias_value":"QX7PXF6GMLSY","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_16","alias_value":"QX7PXF6GMLSYNAGU","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_8","alias_value":"QX7PXF6G","created_at":"2026-05-18T12:33:27.125529+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/QX7PXF6GMLSYNAGUNVEUKU4T54","json":"https://pith.science/pith/QX7PXF6GMLSYNAGUNVEUKU4T54.json","graph_json":"https://pith.science/api/pith-number/QX7PXF6GMLSYNAGUNVEUKU4T54/graph.json","events_json":"https://pith.science/api/pith-number/QX7PXF6GMLSYNAGUNVEUKU4T54/events.json","paper":"https://pith.science/paper/QX7PXF6G"},"agent_actions":{"view_html":"https://pith.science/pith/QX7PXF6GMLSYNAGUNVEUKU4T54","download_json":"https://pith.science/pith/QX7PXF6GMLSYNAGUNVEUKU4T54.json","view_paper":"https://pith.science/paper/QX7PXF6G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1906.01085&json=true","fetch_graph":"https://pith.science/api/pith-number/QX7PXF6GMLSYNAGUNVEUKU4T54/graph.json","fetch_events":"https://pith.science/api/pith-number/QX7PXF6GMLSYNAGUNVEUKU4T54/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QX7PXF6GMLSYNAGUNVEUKU4T54/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QX7PXF6GMLSYNAGUNVEUKU4T54/action/storage_attestation","attest_author":"https://pith.science/pith/QX7PXF6GMLSYNAGUNVEUKU4T54/action/author_attestation","sign_citation":"https://pith.science/pith/QX7PXF6GMLSYNAGUNVEUKU4T54/action/citation_signature","submit_replication":"https://pith.science/pith/QX7PXF6GMLSYNAGUNVEUKU4T54/action/replication_record"}},"created_at":"2026-05-17T23:44:17.890707+00:00","updated_at":"2026-05-17T23:44:17.890707+00:00"}