{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:WKDPFPXEXD6IEKDDQTEV5LHATC","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":"89cfc033dca49b71112d59274800032c665a5bb9acaa8af248ce9764158867ec","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-08-29T16:23:09Z","title_canon_sha256":"cb7d4eae7161f9e1ad08b32350141e7b44c2633ff67a384b0a18cff485b5162c"},"schema_version":"1.0","source":{"id":"cond-mat/0308628","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0308628","created_at":"2026-05-18T01:37:47Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0308628v3","created_at":"2026-05-18T01:37:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0308628","created_at":"2026-05-18T01:37:47Z"},{"alias_kind":"pith_short_12","alias_value":"WKDPFPXEXD6I","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"WKDPFPXEXD6IEKDD","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"WKDPFPXE","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:31677733c3dcb6e2f8edc0b02b409d3f669158e9a15935619a44299300f028a7","target":"graph","created_at":"2026-05-18T01:37:47Z","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":"We consider a fluid of $d$-dimensional spherical particles interacting via a pair potential $\\phi(r)$ which takes a finite value $\\epsilon$ if the two spheres are overlapped ($r<\\sigma$) and 0 otherwise. This penetrable-sphere model has been proposed to describe the effective interaction of micelles in a solvent. We derive the structural and thermodynamic functions in the limit where the reduced temperature $k_BT/\\epsilon$ and density $\\rho\\sigma^d$ tend to infinity, their ratio being kept finite. The fluid exhibits a spinodal instability at a certain maximum scaled density where the correlati","authors_text":"A. Santos, L. Acedo","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-08-29T16:23:09Z","title":"The penetrable-sphere fluid in the high-temperature, high-density limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0308628","kind":"arxiv","version":3},"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:d832cd71baaaeb8f523bb956b4766c8c97f4c6d9d7cf5b138b4fb94c1180cd99","target":"record","created_at":"2026-05-18T01:37:47Z","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":"89cfc033dca49b71112d59274800032c665a5bb9acaa8af248ce9764158867ec","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-08-29T16:23:09Z","title_canon_sha256":"cb7d4eae7161f9e1ad08b32350141e7b44c2633ff67a384b0a18cff485b5162c"},"schema_version":"1.0","source":{"id":"cond-mat/0308628","kind":"arxiv","version":3}},"canonical_sha256":"b286f2bee4b8fc82286384c95eace098ad7f9097074225c50adc192c2df6592d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b286f2bee4b8fc82286384c95eace098ad7f9097074225c50adc192c2df6592d","first_computed_at":"2026-05-18T01:37:47.838306Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:47.838306Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xSGolcXuPKOxqyeH0ZK6vo8zKQw4mjhQvSWcr46aG4mpNhRsu/kw1pH6M+6INVkUergKdhuIIPCS1jt8sWzPDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:47.838950Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0308628","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d832cd71baaaeb8f523bb956b4766c8c97f4c6d9d7cf5b138b4fb94c1180cd99","sha256:31677733c3dcb6e2f8edc0b02b409d3f669158e9a15935619a44299300f028a7"],"state_sha256":"e9d83f0d4f77c874ac513d5269b5640aba39494f23237846db9c910f37421dfa"}