{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:BJHN3RZE44UPZUURY3V52IFHS5","short_pith_number":"pith:BJHN3RZE","schema_version":"1.0","canonical_sha256":"0a4eddc724e728fcd291c6ebdd20a7975b91bd10da98b563cb59e01d6f8d265a","source":{"kind":"arxiv","id":"1604.02440","version":2},"attestation_state":"computed","paper":{"title":"On the ground state energy of the delta-function Fermi gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Craig A. Tracy, Harold Widom","submitted_at":"2016-04-08T19:37:01Z","abstract_excerpt":"The weak coupling asymptotics to order $\\gamma$ of the ground state energy of the delta-function Fermi gas, derived heuristically in the literature, is here made rigorous. Further asymptotics are in principle computable. The analysis applies to the Gaudin integral equation a method previously used by one of the authors for the asymptotics of large Toeplitz matrices."},"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":"1604.02440","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-04-08T19:37:01Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"723ccd895419bb55ba09255e7c8d57fc560fc7df973123a500df8de544d4a760","abstract_canon_sha256":"298baec2fa9ec0d45152316220304ed1c61dcb1ef2becc17f00cf6f00854bf2f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:17.566498Z","signature_b64":"MgtO9+aaltJkolmCcRXIoZ1LmJaUSbFSsWAUcZbMv3fxB9Wp/xhoINSScecFWTfFMilt4l437px6Ldn8K3p1AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a4eddc724e728fcd291c6ebdd20a7975b91bd10da98b563cb59e01d6f8d265a","last_reissued_at":"2026-05-18T00:53:17.565816Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:17.565816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the ground state energy of the delta-function Fermi gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Craig A. Tracy, Harold Widom","submitted_at":"2016-04-08T19:37:01Z","abstract_excerpt":"The weak coupling asymptotics to order $\\gamma$ of the ground state energy of the delta-function Fermi gas, derived heuristically in the literature, is here made rigorous. Further asymptotics are in principle computable. The analysis applies to the Gaudin integral equation a method previously used by one of the authors for the asymptotics of large Toeplitz matrices."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02440","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1604.02440","created_at":"2026-05-18T00:53:17.565913+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.02440v2","created_at":"2026-05-18T00:53:17.565913+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02440","created_at":"2026-05-18T00:53:17.565913+00:00"},{"alias_kind":"pith_short_12","alias_value":"BJHN3RZE44UP","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"BJHN3RZE44UPZUUR","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"BJHN3RZE","created_at":"2026-05-18T12:30:07.202191+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/BJHN3RZE44UPZUURY3V52IFHS5","json":"https://pith.science/pith/BJHN3RZE44UPZUURY3V52IFHS5.json","graph_json":"https://pith.science/api/pith-number/BJHN3RZE44UPZUURY3V52IFHS5/graph.json","events_json":"https://pith.science/api/pith-number/BJHN3RZE44UPZUURY3V52IFHS5/events.json","paper":"https://pith.science/paper/BJHN3RZE"},"agent_actions":{"view_html":"https://pith.science/pith/BJHN3RZE44UPZUURY3V52IFHS5","download_json":"https://pith.science/pith/BJHN3RZE44UPZUURY3V52IFHS5.json","view_paper":"https://pith.science/paper/BJHN3RZE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.02440&json=true","fetch_graph":"https://pith.science/api/pith-number/BJHN3RZE44UPZUURY3V52IFHS5/graph.json","fetch_events":"https://pith.science/api/pith-number/BJHN3RZE44UPZUURY3V52IFHS5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BJHN3RZE44UPZUURY3V52IFHS5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BJHN3RZE44UPZUURY3V52IFHS5/action/storage_attestation","attest_author":"https://pith.science/pith/BJHN3RZE44UPZUURY3V52IFHS5/action/author_attestation","sign_citation":"https://pith.science/pith/BJHN3RZE44UPZUURY3V52IFHS5/action/citation_signature","submit_replication":"https://pith.science/pith/BJHN3RZE44UPZUURY3V52IFHS5/action/replication_record"}},"created_at":"2026-05-18T00:53:17.565913+00:00","updated_at":"2026-05-18T00:53:17.565913+00:00"}