{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:Y5S3QO76PIYUJHIULO4XJJOBIQ","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":"67c5e7e8e9a527ce4e29fd0071983101496a6f2bcd470a95c46b31c4b4d96c8b","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-11-02T02:11:32Z","title_canon_sha256":"4f67bf673e4ceb9c1bcc75c2c3bf69f68cad72614403dc37202eae2b4ad53166"},"schema_version":"1.0","source":{"id":"1111.5337","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.5337","created_at":"2026-05-18T04:07:52Z"},{"alias_kind":"arxiv_version","alias_value":"1111.5337v1","created_at":"2026-05-18T04:07:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.5337","created_at":"2026-05-18T04:07:52Z"},{"alias_kind":"pith_short_12","alias_value":"Y5S3QO76PIYU","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Y5S3QO76PIYUJHIU","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Y5S3QO76","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:3af5efc2ee1c4adcdd9eb76f1efefe7d57a249b71b415c1ccd9af897127cde0a","target":"graph","created_at":"2026-05-18T04:07:52Z","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 review in detail the derivation of the dielectric response function of a noninteracting system of spin-1/2 fermions in the random-phase approximation. Results for the response function of a Fermi gas in one, two and three dimensions can be obtained in closed form, and represent the baseline for developing a pedagogical understanding of the effect of correlations on the response functions in interacting systems of fermions.","authors_text":"Bogdan Mihaila","cross_cats":["cond-mat.str-el","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-11-02T02:11:32Z","title":"Lindhard function of a d-dimensional Fermi gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.5337","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:d8296dd6f4bdfed3d3508568738d3d7859845167e825274a5b08d4c8dea15655","target":"record","created_at":"2026-05-18T04:07:52Z","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":"67c5e7e8e9a527ce4e29fd0071983101496a6f2bcd470a95c46b31c4b4d96c8b","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-11-02T02:11:32Z","title_canon_sha256":"4f67bf673e4ceb9c1bcc75c2c3bf69f68cad72614403dc37202eae2b4ad53166"},"schema_version":"1.0","source":{"id":"1111.5337","kind":"arxiv","version":1}},"canonical_sha256":"c765b83bfe7a31449d145bb974a5c1443173d2dfbceaf97a1b5261539d7fda04","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c765b83bfe7a31449d145bb974a5c1443173d2dfbceaf97a1b5261539d7fda04","first_computed_at":"2026-05-18T04:07:52.243974Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:52.243974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rTD84BHkcujXiJ1lpK+Zkj5t24yXF2JDIT17W3I58YOpLZfTymTyNk43RnvwpeN7xlUcQs0PfR0w/xPK7jbBBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:52.244385Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.5337","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d8296dd6f4bdfed3d3508568738d3d7859845167e825274a5b08d4c8dea15655","sha256:3af5efc2ee1c4adcdd9eb76f1efefe7d57a249b71b415c1ccd9af897127cde0a"],"state_sha256":"3a370557360b51668c651b2931c8d4de980acdbb67aae9f84f8928beac2f3e59"}