{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:J2ID2W57CLIGN4CCBEB5JLJ6QE","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":"173acee14ba167040b9ac70fdd8ff511eccf654da08f7fd8ab50ff3420e4fbf3","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2008-09-10T15:30:14Z","title_canon_sha256":"16c9f9e23e45311a1b14d11c97f6c05590f3b59f0c42f031f8b2a8051fbe2d72"},"schema_version":"1.0","source":{"id":"0809.1820","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.1820","created_at":"2026-05-18T04:38:48Z"},{"alias_kind":"arxiv_version","alias_value":"0809.1820v3","created_at":"2026-05-18T04:38:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.1820","created_at":"2026-05-18T04:38:48Z"},{"alias_kind":"pith_short_12","alias_value":"J2ID2W57CLIG","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"J2ID2W57CLIGN4CC","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"J2ID2W57","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:9cf9de2e9a6a30c5d7bcf00bda92e2b2bef08b5295522957dcc6cbcc7ac2b237","target":"graph","created_at":"2026-05-18T04:38:48Z","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 determine the energy density $\\xi (3/5) n \\epsilon_F$ and the gradient correction $\\lambda \\hbar^2(\\nabla n)^2/(8m n)$ of the extended Thomas-Fermi (ETF) density functional, where $n$ is number density and $\\epsilon_F$ is Fermi energy, for a trapped two-components Fermi gas with infinite scattering length (unitary Fermi gas) on the basis of recent diffusion Monte Carlo (DMC) calculations [Phys. Rev. Lett. {\\bf 99}, 233201 (2007)]. In particular we find that $\\xi=0.455$ and $\\lambda=0.13$ give the best fit of the DMC data with an even number $N$ of particles. We also study the odd-even split","authors_text":"Flavio Toigo, Luca Salasnich","cross_cats":["cond-mat.quant-gas","cond-mat.supr-con"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2008-09-10T15:30:14Z","title":"Extended Thomas-Fermi Density Functional for the Unitary Fermi Gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.1820","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:bf8d32ebc305f583963ed28493e3f9e989b77738ebebb422793c64793eff4fa8","target":"record","created_at":"2026-05-18T04:38:48Z","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":"173acee14ba167040b9ac70fdd8ff511eccf654da08f7fd8ab50ff3420e4fbf3","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2008-09-10T15:30:14Z","title_canon_sha256":"16c9f9e23e45311a1b14d11c97f6c05590f3b59f0c42f031f8b2a8051fbe2d72"},"schema_version":"1.0","source":{"id":"0809.1820","kind":"arxiv","version":3}},"canonical_sha256":"4e903d5bbf12d066f0420903d4ad3e813cc2f2dccf6a36347f7d5072856ef8b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e903d5bbf12d066f0420903d4ad3e813cc2f2dccf6a36347f7d5072856ef8b2","first_computed_at":"2026-05-18T04:38:48.717461Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:48.717461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+WIT/tl15DZ2UnIagAsxbJDu9vBmibS6kCiOF2gIYZJVqXqvCVz86x9L9c3Jc5p5/y9rT83OPNpck3odbIMlAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:48.717884Z","signed_message":"canonical_sha256_bytes"},"source_id":"0809.1820","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf8d32ebc305f583963ed28493e3f9e989b77738ebebb422793c64793eff4fa8","sha256:9cf9de2e9a6a30c5d7bcf00bda92e2b2bef08b5295522957dcc6cbcc7ac2b237"],"state_sha256":"d5563be13369cf8738fff0ea79ae414e517f13680ba3d4214acbe0e969f6d2ea"}