{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:T6VYHRNOWAPK7FLDQHYWI6XYNF","short_pith_number":"pith:T6VYHRNO","schema_version":"1.0","canonical_sha256":"9fab83c5aeb01eaf956381f1647af8694faef31436e3b9311351c1f102b60fce","source":{"kind":"arxiv","id":"1305.4257","version":1},"attestation_state":"computed","paper":{"title":"Dimensional cross-over of hard parallel cylinders confined on cylindrical surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Enrique Velasco, Yuri Martinez-Raton","submitted_at":"2013-05-18T12:47:28Z","abstract_excerpt":"We derive, from the dimensional cross-over criterion, a fundamental-measure density functional for parallel hard curved rectangles moving on a cylindrical surface. We derive it from the density functional of circular arcs of length $\\sigma$ with centers of mass located on an external circumference of radius $R_0$. The latter functional in turns is obtained from the corresponding 2D functional for a fluid of hard discs of radius $R$ on a flat surface with centers of mass confined onto a circumference of radius $R_0$. Thus the curved length of closest approach between two centers of mass of hard"},"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":"1305.4257","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-05-18T12:47:28Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"ba949ab8e6479a18f9fc783ba8cd63e2949e3419a17bca981a1a3aa6c37e2ab9","abstract_canon_sha256":"844273a30ac31dcb7bf2b21f7b35621ab44210da8378f3826c4d3fb9942eaf27"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:49.069197Z","signature_b64":"xpIb+vCQaztB5XVRTWGxrBRJsKBWZ7vXvNYsHLvDn46pDmoNNRWiAMvICyn91yqaPL88a5akAzPDux3idzhJBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9fab83c5aeb01eaf956381f1647af8694faef31436e3b9311351c1f102b60fce","last_reissued_at":"2026-05-18T01:49:49.068743Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:49.068743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dimensional cross-over of hard parallel cylinders confined on cylindrical surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Enrique Velasco, Yuri Martinez-Raton","submitted_at":"2013-05-18T12:47:28Z","abstract_excerpt":"We derive, from the dimensional cross-over criterion, a fundamental-measure density functional for parallel hard curved rectangles moving on a cylindrical surface. We derive it from the density functional of circular arcs of length $\\sigma$ with centers of mass located on an external circumference of radius $R_0$. The latter functional in turns is obtained from the corresponding 2D functional for a fluid of hard discs of radius $R$ on a flat surface with centers of mass confined onto a circumference of radius $R_0$. Thus the curved length of closest approach between two centers of mass of hard"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4257","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":"1305.4257","created_at":"2026-05-18T01:49:49.068815+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.4257v1","created_at":"2026-05-18T01:49:49.068815+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4257","created_at":"2026-05-18T01:49:49.068815+00:00"},{"alias_kind":"pith_short_12","alias_value":"T6VYHRNOWAPK","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_16","alias_value":"T6VYHRNOWAPK7FLD","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_8","alias_value":"T6VYHRNO","created_at":"2026-05-18T12:27:59.945178+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/T6VYHRNOWAPK7FLDQHYWI6XYNF","json":"https://pith.science/pith/T6VYHRNOWAPK7FLDQHYWI6XYNF.json","graph_json":"https://pith.science/api/pith-number/T6VYHRNOWAPK7FLDQHYWI6XYNF/graph.json","events_json":"https://pith.science/api/pith-number/T6VYHRNOWAPK7FLDQHYWI6XYNF/events.json","paper":"https://pith.science/paper/T6VYHRNO"},"agent_actions":{"view_html":"https://pith.science/pith/T6VYHRNOWAPK7FLDQHYWI6XYNF","download_json":"https://pith.science/pith/T6VYHRNOWAPK7FLDQHYWI6XYNF.json","view_paper":"https://pith.science/paper/T6VYHRNO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.4257&json=true","fetch_graph":"https://pith.science/api/pith-number/T6VYHRNOWAPK7FLDQHYWI6XYNF/graph.json","fetch_events":"https://pith.science/api/pith-number/T6VYHRNOWAPK7FLDQHYWI6XYNF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T6VYHRNOWAPK7FLDQHYWI6XYNF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T6VYHRNOWAPK7FLDQHYWI6XYNF/action/storage_attestation","attest_author":"https://pith.science/pith/T6VYHRNOWAPK7FLDQHYWI6XYNF/action/author_attestation","sign_citation":"https://pith.science/pith/T6VYHRNOWAPK7FLDQHYWI6XYNF/action/citation_signature","submit_replication":"https://pith.science/pith/T6VYHRNOWAPK7FLDQHYWI6XYNF/action/replication_record"}},"created_at":"2026-05-18T01:49:49.068815+00:00","updated_at":"2026-05-18T01:49:49.068815+00:00"}