{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:WXVBQ7CGRAWJXPORF77CUOZ6PS","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":"a5ff1341558c711a2fd812bd6f2680fdb8d9eb8968e3d9b9aef5077fbcf4c8c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-11-06T17:27:29Z","title_canon_sha256":"4234d33f778d68fcf918b5592a54c648ecaaa73e36862db7504d8f5c09c68018"},"schema_version":"1.0","source":{"id":"1411.1666","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.1666","created_at":"2026-05-18T01:30:49Z"},{"alias_kind":"arxiv_version","alias_value":"1411.1666v1","created_at":"2026-05-18T01:30:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.1666","created_at":"2026-05-18T01:30:49Z"},{"alias_kind":"pith_short_12","alias_value":"WXVBQ7CGRAWJ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WXVBQ7CGRAWJXPOR","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WXVBQ7CG","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:7b9bf00299bb4a21809b5a385e0fb8f48a3929d491035d1c0018a664433a999e","target":"graph","created_at":"2026-05-18T01:30:49Z","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":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Using liquid integral equation theory, we calculate the pair correlations of particles that interact via a smooth repulsive pair potential in d = 4 spatial dimensions. We discuss the performance of different closures for the Ornstein-Zernike equation, by comparing the results to computer simulation data. Our results are of relevance to understand crystal and glass formation in high-dimensional systems.","authors_text":"H. L\\\"owen, J. Horbach, M. Heinen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-11-06T17:27:29Z","title":"Liquid pair correlations in four spatial dimensions: Theory versus simulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.1666","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:cbbc8eb7879618f7bca4d6c85ed196aa50989af55d86735d91110420d5ee3142","target":"record","created_at":"2026-05-18T01:30:49Z","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":"a5ff1341558c711a2fd812bd6f2680fdb8d9eb8968e3d9b9aef5077fbcf4c8c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-11-06T17:27:29Z","title_canon_sha256":"4234d33f778d68fcf918b5592a54c648ecaaa73e36862db7504d8f5c09c68018"},"schema_version":"1.0","source":{"id":"1411.1666","kind":"arxiv","version":1}},"canonical_sha256":"b5ea187c46882c9bbdd12ffe2a3b3e7c961d363fd34c0f7ea8d83b9671453272","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5ea187c46882c9bbdd12ffe2a3b3e7c961d363fd34c0f7ea8d83b9671453272","first_computed_at":"2026-05-18T01:30:49.158591Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:49.158591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wE0ahCr+dy7arOJTdVo18ZFHq0sfz049kQJgE4at7xrJ28aDZNFg2UI25XvrZCmvJyjUErdble6Impry0rsbBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:49.159180Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.1666","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cbbc8eb7879618f7bca4d6c85ed196aa50989af55d86735d91110420d5ee3142","sha256:7b9bf00299bb4a21809b5a385e0fb8f48a3929d491035d1c0018a664433a999e"],"state_sha256":"888df64a9f4ff9333b27f89874ac22d9d5cf044bc43df9e60d087d8f2eafa076"}