{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:JBNVUGUF647DVAXFTLEZ5EY6CC","short_pith_number":"pith:JBNVUGUF","schema_version":"1.0","canonical_sha256":"485b5a1a85f73e3a82e59ac99e931e10a4f3d8a0ffe8d3583122a7239aa77ea7","source":{"kind":"arxiv","id":"2310.02706","version":5},"attestation_state":"computed","paper":{"title":"Momentum Distribution of a Fermi Gas in the Random Phase Approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","cond-mat.str-el","math.MP"],"primary_cat":"math-ph","authors_text":"Niels Benedikter, Sascha Lill","submitted_at":"2023-10-04T10:19:35Z","abstract_excerpt":"We consider a system of interacting fermions on the three-dimensional torus in a mean-field scaling limit. Our objective is computing the occupation number of the Fourier modes in a trial state obtained through the random phase approximation (in its collective bosonization formulation) for the ground state. We prove that the trial state's momentum distribution has a jump discontinuity, i.e., a well-defined Fermi surface. Moreover the Fermi momentum does not depend on the interaction potential (it is universal). Our result shows that the random phase approximation in the mean-field scaling limi"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2310.02706","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2023-10-04T10:19:35Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el","math.MP"],"title_canon_sha256":"8562561a492bf5977e02e878e6b0a9d5be39193b0db0363b0a4987d9d049f354","abstract_canon_sha256":"64f557f15569d34633893c14f1ddd10404d82ce76af653b1049dbf9b8cfcd80a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:23:17.847776Z","signature_b64":"lEDH9arwmV4INOBcx6h430HKpAcDSBZ86SgAqB/AtdCIBqg7RMQnIp3r81VF0Xbxkv7bjNipwYTNI7B6zvLfDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"485b5a1a85f73e3a82e59ac99e931e10a4f3d8a0ffe8d3583122a7239aa77ea7","last_reissued_at":"2026-07-05T10:23:17.847312Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:23:17.847312Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Momentum Distribution of a Fermi Gas in the Random Phase Approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","cond-mat.str-el","math.MP"],"primary_cat":"math-ph","authors_text":"Niels Benedikter, Sascha Lill","submitted_at":"2023-10-04T10:19:35Z","abstract_excerpt":"We consider a system of interacting fermions on the three-dimensional torus in a mean-field scaling limit. Our objective is computing the occupation number of the Fourier modes in a trial state obtained through the random phase approximation (in its collective bosonization formulation) for the ground state. We prove that the trial state's momentum distribution has a jump discontinuity, i.e., a well-defined Fermi surface. Moreover the Fermi momentum does not depend on the interaction potential (it is universal). Our result shows that the random phase approximation in the mean-field scaling limi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.02706","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2310.02706/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2310.02706","created_at":"2026-07-05T10:23:17.847381+00:00"},{"alias_kind":"arxiv_version","alias_value":"2310.02706v5","created_at":"2026-07-05T10:23:17.847381+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.02706","created_at":"2026-07-05T10:23:17.847381+00:00"},{"alias_kind":"pith_short_12","alias_value":"JBNVUGUF647D","created_at":"2026-07-05T10:23:17.847381+00:00"},{"alias_kind":"pith_short_16","alias_value":"JBNVUGUF647DVAXF","created_at":"2026-07-05T10:23:17.847381+00:00"},{"alias_kind":"pith_short_8","alias_value":"JBNVUGUF","created_at":"2026-07-05T10:23:17.847381+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JBNVUGUF647DVAXFTLEZ5EY6CC","json":"https://pith.science/pith/JBNVUGUF647DVAXFTLEZ5EY6CC.json","graph_json":"https://pith.science/api/pith-number/JBNVUGUF647DVAXFTLEZ5EY6CC/graph.json","events_json":"https://pith.science/api/pith-number/JBNVUGUF647DVAXFTLEZ5EY6CC/events.json","paper":"https://pith.science/paper/JBNVUGUF"},"agent_actions":{"view_html":"https://pith.science/pith/JBNVUGUF647DVAXFTLEZ5EY6CC","download_json":"https://pith.science/pith/JBNVUGUF647DVAXFTLEZ5EY6CC.json","view_paper":"https://pith.science/paper/JBNVUGUF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2310.02706&json=true","fetch_graph":"https://pith.science/api/pith-number/JBNVUGUF647DVAXFTLEZ5EY6CC/graph.json","fetch_events":"https://pith.science/api/pith-number/JBNVUGUF647DVAXFTLEZ5EY6CC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JBNVUGUF647DVAXFTLEZ5EY6CC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JBNVUGUF647DVAXFTLEZ5EY6CC/action/storage_attestation","attest_author":"https://pith.science/pith/JBNVUGUF647DVAXFTLEZ5EY6CC/action/author_attestation","sign_citation":"https://pith.science/pith/JBNVUGUF647DVAXFTLEZ5EY6CC/action/citation_signature","submit_replication":"https://pith.science/pith/JBNVUGUF647DVAXFTLEZ5EY6CC/action/replication_record"}},"created_at":"2026-07-05T10:23:17.847381+00:00","updated_at":"2026-07-05T10:23:17.847381+00:00"}