{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:ZCONRRNSRGFTWIARAU3PNU35TQ","short_pith_number":"pith:ZCONRRNS","schema_version":"1.0","canonical_sha256":"c89cd8c5b2898b3b20110536f6d37d9c0d3f184a0885e8a71c71c2cf7e770d86","source":{"kind":"arxiv","id":"0708.2677","version":2},"attestation_state":"computed","paper":{"title":"Structure of hard-hypersphere fluids in odd dimensions","license":"","headline":"","cross_cats":["cond-mat.soft","physics.chem-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Andres Santos, Rene D. Rohrmann","submitted_at":"2007-08-20T14:46:08Z","abstract_excerpt":"The structural properties of single component fluids of hard hyperspheres in odd space dimensionalities $d$ are studied with an analytical approximation method that generalizes the Rational Function Approximation earlier introduced in the study of hard-sphere fluids [S. B. Yuste and A. Santos, Phys. Rev. A {\\bf 43}, 5418 (1991)]. The theory makes use of the exact form of the radial distribution function to first order in density and extends it to finite density by assuming a rational form for a function defined in Laplace space, the coefficients being determined by simple physical requirements"},"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":"0708.2677","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2007-08-20T14:46:08Z","cross_cats_sorted":["cond-mat.soft","physics.chem-ph"],"title_canon_sha256":"c987cb94af545d413cf66cc3489e57da5179458465aa980f2cbebda3f8313f6c","abstract_canon_sha256":"1aa89517e1a42f6d7d9662dca39105b91d659d2e6d09cca5ac5f3f05bfdc9dd9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:14.871727Z","signature_b64":"iOiuAaUHxSe6nI1LJ6gxNdgiAcu6LCCexYaVUViKSwPzU30nPehukY8gnuRMHBE55Y0/kvRnxES8eYjN6LKsCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c89cd8c5b2898b3b20110536f6d37d9c0d3f184a0885e8a71c71c2cf7e770d86","last_reissued_at":"2026-05-18T04:09:14.871173Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:14.871173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Structure of hard-hypersphere fluids in odd dimensions","license":"","headline":"","cross_cats":["cond-mat.soft","physics.chem-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Andres Santos, Rene D. Rohrmann","submitted_at":"2007-08-20T14:46:08Z","abstract_excerpt":"The structural properties of single component fluids of hard hyperspheres in odd space dimensionalities $d$ are studied with an analytical approximation method that generalizes the Rational Function Approximation earlier introduced in the study of hard-sphere fluids [S. B. Yuste and A. Santos, Phys. Rev. A {\\bf 43}, 5418 (1991)]. The theory makes use of the exact form of the radial distribution function to first order in density and extends it to finite density by assuming a rational form for a function defined in Laplace space, the coefficients being determined by simple physical requirements"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.2677","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":"0708.2677","created_at":"2026-05-18T04:09:14.871232+00:00"},{"alias_kind":"arxiv_version","alias_value":"0708.2677v2","created_at":"2026-05-18T04:09:14.871232+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.2677","created_at":"2026-05-18T04:09:14.871232+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZCONRRNSRGFT","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZCONRRNSRGFTWIAR","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZCONRRNS","created_at":"2026-05-18T12:25:56.245647+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/ZCONRRNSRGFTWIARAU3PNU35TQ","json":"https://pith.science/pith/ZCONRRNSRGFTWIARAU3PNU35TQ.json","graph_json":"https://pith.science/api/pith-number/ZCONRRNSRGFTWIARAU3PNU35TQ/graph.json","events_json":"https://pith.science/api/pith-number/ZCONRRNSRGFTWIARAU3PNU35TQ/events.json","paper":"https://pith.science/paper/ZCONRRNS"},"agent_actions":{"view_html":"https://pith.science/pith/ZCONRRNSRGFTWIARAU3PNU35TQ","download_json":"https://pith.science/pith/ZCONRRNSRGFTWIARAU3PNU35TQ.json","view_paper":"https://pith.science/paper/ZCONRRNS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0708.2677&json=true","fetch_graph":"https://pith.science/api/pith-number/ZCONRRNSRGFTWIARAU3PNU35TQ/graph.json","fetch_events":"https://pith.science/api/pith-number/ZCONRRNSRGFTWIARAU3PNU35TQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZCONRRNSRGFTWIARAU3PNU35TQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZCONRRNSRGFTWIARAU3PNU35TQ/action/storage_attestation","attest_author":"https://pith.science/pith/ZCONRRNSRGFTWIARAU3PNU35TQ/action/author_attestation","sign_citation":"https://pith.science/pith/ZCONRRNSRGFTWIARAU3PNU35TQ/action/citation_signature","submit_replication":"https://pith.science/pith/ZCONRRNSRGFTWIARAU3PNU35TQ/action/replication_record"}},"created_at":"2026-05-18T04:09:14.871232+00:00","updated_at":"2026-05-18T04:09:14.871232+00:00"}