{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2WW5CMSWZJ2IPOTUSAOL2U2LNL","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":"e9ae571368a0ce9185688eed8f244152ebe04563b2e6410dc198a0c03e3065b6","cross_cats_sorted":["physics.atom-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-12-13T07:36:51Z","title_canon_sha256":"649078cc8692aa95c8f47c4b79499da59aae6a8e35fb7c03628cbe494653e047"},"schema_version":"1.0","source":{"id":"1612.04048","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.04048","created_at":"2026-05-18T00:35:51Z"},{"alias_kind":"arxiv_version","alias_value":"1612.04048v2","created_at":"2026-05-18T00:35:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.04048","created_at":"2026-05-18T00:35:51Z"},{"alias_kind":"pith_short_12","alias_value":"2WW5CMSWZJ2I","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2WW5CMSWZJ2IPOTU","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2WW5CMSW","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:210814d24524760488829297a55dff7da59e5f3b873d49f27808bd24af46f66f","target":"graph","created_at":"2026-05-18T00:35:51Z","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":"Building on the discussion in PRA 93, 042510 (2016), we present a systematic derivation of gradient corrections to the kinetic-energy functional and the one-particle density, in particular for two-dimensional systems. We derive the leading gradient corrections from a semiclassical expansion based on Wigner's phase space formalism and demonstrate that the semiclassical kinetic-energy density functional at zero temperature cannot be evaluated unambiguously. In contrast, a density-potential functional description that effectively incorporates interactions provides unambiguous gradient corrections","authors_text":"Berthold-Georg Englert, Hui Khoon Ng, Martin-Isbj\\\"orn Trappe, Yink Loong Len","cross_cats":["physics.atom-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-12-13T07:36:51Z","title":"Airy-averaged gradient corrections for two-dimensional fermion gases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.04048","kind":"arxiv","version":2},"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":"sha256:48a918f18b983f0e91c93b32bc94e0df6b232ddfef06994350b9e6bbdaa30082","target":"record","created_at":"2026-05-18T00:35:51Z","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":"e9ae571368a0ce9185688eed8f244152ebe04563b2e6410dc198a0c03e3065b6","cross_cats_sorted":["physics.atom-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-12-13T07:36:51Z","title_canon_sha256":"649078cc8692aa95c8f47c4b79499da59aae6a8e35fb7c03628cbe494653e047"},"schema_version":"1.0","source":{"id":"1612.04048","kind":"arxiv","version":2}},"canonical_sha256":"d5add13256ca7487ba74901cbd534b6ad11794f69d2c202e6ebba3f0298cf828","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5add13256ca7487ba74901cbd534b6ad11794f69d2c202e6ebba3f0298cf828","first_computed_at":"2026-05-18T00:35:51.611270Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:51.611270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SOnRliN5s6NMjb5LUW1smHxzE8VYTR58yMdaotNwlIa+Xc0cZTlaNVdbj1R30KBL1SJXgu7+bZqc7NRrkqhSDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:51.611726Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.04048","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:48a918f18b983f0e91c93b32bc94e0df6b232ddfef06994350b9e6bbdaa30082","sha256:210814d24524760488829297a55dff7da59e5f3b873d49f27808bd24af46f66f"],"state_sha256":"5b52ee0ce58efc53a19b64235a884fc8bcde7d23947847583d8bf56362c6c6b5"}