{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NBP6LGNDOYFWFJC7QQCCBZNTKX","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":"6e45234e3b301a9856e49ff41d53cdf0e873139c4b8882a059735d7d2b15d83c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-03-06T15:37:02Z","title_canon_sha256":"9e9bf8cc6a7fd3460be52a1b7ac8f168984efbb9333327c5361bd8061e0613d5"},"schema_version":"1.0","source":{"id":"1403.1466","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1466","created_at":"2026-05-18T01:44:18Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1466v1","created_at":"2026-05-18T01:44:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1466","created_at":"2026-05-18T01:44:18Z"},{"alias_kind":"pith_short_12","alias_value":"NBP6LGNDOYFW","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NBP6LGNDOYFWFJC7","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NBP6LGND","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:3c320d8a2b464bac7f4c4a43b99f1a5f1e5c1b55d5b791fe990eee05c079db09","target":"graph","created_at":"2026-05-18T01:44:18Z","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 derive a closed form expression for the quantum corrections to the kinetic energy density (KED) in the Thomas-Fermi (TF) limit of a linear potential model system in three dimensions (the Airy gas). The universality of the expression is tested numerically in a number of three dimensional model systems: (i) jellium surfaces, (ii) hydrogen-like potentials, (iii) systems confined by an harmonic potential in one and (iv) all three dimensions, and (v) a system with a cosine potential (the Mathieu gas). Our results confirm that the usual gradient expansion of extended Thomas-Fermi theory (ETF) doe","authors_text":"A. E. Mattsson, A. Lindmaa, R. Armiento","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-03-06T15:37:02Z","title":"Quantum oscillations in the kinetic energy density: Gradient corrections from the Airy gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1466","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":"sha256:83ff9a7f5355f1c0bdf29e5e080816d273438166f2bf190a7f51dd2baa32b8a1","target":"record","created_at":"2026-05-18T01:44:18Z","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":"6e45234e3b301a9856e49ff41d53cdf0e873139c4b8882a059735d7d2b15d83c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-03-06T15:37:02Z","title_canon_sha256":"9e9bf8cc6a7fd3460be52a1b7ac8f168984efbb9333327c5361bd8061e0613d5"},"schema_version":"1.0","source":{"id":"1403.1466","kind":"arxiv","version":1}},"canonical_sha256":"685fe599a3760b62a45f840420e5b355c805a5a0183bc2aaea81ddd85e25419f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"685fe599a3760b62a45f840420e5b355c805a5a0183bc2aaea81ddd85e25419f","first_computed_at":"2026-05-18T01:44:18.924938Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:18.924938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5832DmOuq1hYW1LRtf4f+eqxpdMC4U4RU3hF0TVDlAnJvgj77E39xJIG2Ti4abGnwc/2Qgfcx+GMA3d4HbSfBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:18.925682Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.1466","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83ff9a7f5355f1c0bdf29e5e080816d273438166f2bf190a7f51dd2baa32b8a1","sha256:3c320d8a2b464bac7f4c4a43b99f1a5f1e5c1b55d5b791fe990eee05c079db09"],"state_sha256":"d7dcb16dc9da6b85f852c3a66def2fb2f8ef27f4b29d666c6ab69840efa11b30"}