{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:L3CUUOEMJFWOXONKQJQOIOR7XO","short_pith_number":"pith:L3CUUOEM","schema_version":"1.0","canonical_sha256":"5ec54a388c496cebb9aa8260e43a3fbba82af54e7722c3f02a4e70da39da57d0","source":{"kind":"arxiv","id":"1007.1041","version":1},"attestation_state":"computed","paper":{"title":"Three attractively interacting fermions in a harmonic trap: Exact solution, ferromagnetism, and high-temperature thermodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Hui Hu, Peter D. Drummond, Xia-Ji Liu","submitted_at":"2010-07-07T03:32:42Z","abstract_excerpt":"Three fermions with strongly repulsive interactions in a spherical harmonic trap, constitute the simplest nontrivial system that can exhibit the onset of itinerant ferromagnetism. Here, we present exact solutions for three trapped, attractively interacting fermions near a Feshbach resonance. We analyze energy levels on the upper branch of the resonance where the atomic interaction is effectively repulsive. When the s-wave scattering length a is sufficiently positive, three fully polarized fermions are energetically stable against a single spin-flip, indicating the possibility of itinerant ferr"},"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":"1007.1041","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-07-07T03:32:42Z","cross_cats_sorted":[],"title_canon_sha256":"cbffc1e2f87130955e4f61ce8179cf41f5900e8942c599f2665ed877cd9a6d4f","abstract_canon_sha256":"2c096bbd27ff2b1f20cec04d8b4dbb08583451e8aee24bf259d8c7307997fa7c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:27.208109Z","signature_b64":"870FgFdeJtpzZrIyLmgxisNlD0eq0hyd3SIRyXIU77+gfU4pupvJOYo1Zq9KR8m91J+Vp2Wwvdtnw4tUB4LDAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ec54a388c496cebb9aa8260e43a3fbba82af54e7722c3f02a4e70da39da57d0","last_reissued_at":"2026-05-18T04:41:27.207478Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:27.207478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Three attractively interacting fermions in a harmonic trap: Exact solution, ferromagnetism, and high-temperature thermodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Hui Hu, Peter D. Drummond, Xia-Ji Liu","submitted_at":"2010-07-07T03:32:42Z","abstract_excerpt":"Three fermions with strongly repulsive interactions in a spherical harmonic trap, constitute the simplest nontrivial system that can exhibit the onset of itinerant ferromagnetism. Here, we present exact solutions for three trapped, attractively interacting fermions near a Feshbach resonance. We analyze energy levels on the upper branch of the resonance where the atomic interaction is effectively repulsive. When the s-wave scattering length a is sufficiently positive, three fully polarized fermions are energetically stable against a single spin-flip, indicating the possibility of itinerant ferr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.1041","kind":"arxiv","version":1},"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":"1007.1041","created_at":"2026-05-18T04:41:27.207611+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.1041v1","created_at":"2026-05-18T04:41:27.207611+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.1041","created_at":"2026-05-18T04:41:27.207611+00:00"},{"alias_kind":"pith_short_12","alias_value":"L3CUUOEMJFWO","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"L3CUUOEMJFWOXONK","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"L3CUUOEM","created_at":"2026-05-18T12:26:09.077623+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/L3CUUOEMJFWOXONKQJQOIOR7XO","json":"https://pith.science/pith/L3CUUOEMJFWOXONKQJQOIOR7XO.json","graph_json":"https://pith.science/api/pith-number/L3CUUOEMJFWOXONKQJQOIOR7XO/graph.json","events_json":"https://pith.science/api/pith-number/L3CUUOEMJFWOXONKQJQOIOR7XO/events.json","paper":"https://pith.science/paper/L3CUUOEM"},"agent_actions":{"view_html":"https://pith.science/pith/L3CUUOEMJFWOXONKQJQOIOR7XO","download_json":"https://pith.science/pith/L3CUUOEMJFWOXONKQJQOIOR7XO.json","view_paper":"https://pith.science/paper/L3CUUOEM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.1041&json=true","fetch_graph":"https://pith.science/api/pith-number/L3CUUOEMJFWOXONKQJQOIOR7XO/graph.json","fetch_events":"https://pith.science/api/pith-number/L3CUUOEMJFWOXONKQJQOIOR7XO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L3CUUOEMJFWOXONKQJQOIOR7XO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L3CUUOEMJFWOXONKQJQOIOR7XO/action/storage_attestation","attest_author":"https://pith.science/pith/L3CUUOEMJFWOXONKQJQOIOR7XO/action/author_attestation","sign_citation":"https://pith.science/pith/L3CUUOEMJFWOXONKQJQOIOR7XO/action/citation_signature","submit_replication":"https://pith.science/pith/L3CUUOEMJFWOXONKQJQOIOR7XO/action/replication_record"}},"created_at":"2026-05-18T04:41:27.207611+00:00","updated_at":"2026-05-18T04:41:27.207611+00:00"}