{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:UKQJ7OVJQ6CPWILNPR7SBZBZFX","short_pith_number":"pith:UKQJ7OVJ","schema_version":"1.0","canonical_sha256":"a2a09fbaa98784fb216d7c7f20e4392dc7f7efe221887e00ab896917d35e518c","source":{"kind":"arxiv","id":"1707.07781","version":2},"attestation_state":"computed","paper":{"title":"SU(N) Fermions in a One-Dimensional Harmonic Trap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"E. K. Laird, J. Levinsen, M. M. Parish, Z.-Y. Shi","submitted_at":"2017-07-25T01:11:23Z","abstract_excerpt":"We conduct a theoretical study of SU(N) fermions confined by a one-dimensional harmonic potential. Firstly, we introduce a new numerical approach for solving the trapped interacting few-body problem, by which one may obtain accurate energy spectra across the full range of interaction strengths. In the strong-coupling limit, we map the SU(N) Hamiltonian to a spin-chain model. We then show that an existing, extremely accurate ansatz - derived for a Heisenberg SU(2) spin chain - is extendable to these N-component systems. Lastly, we consider balanced SU(N) Fermi gases that have an equal number of"},"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":"1707.07781","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-07-25T01:11:23Z","cross_cats_sorted":[],"title_canon_sha256":"d719cf432b7797604e8110b1fc29e2315f549c9b14e77db9a5515e1daf60db60","abstract_canon_sha256":"4d64bc7f1abf2eae4e893d0822a48aadb00db725eb3017760d591e1cf0f7eb2a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:13.381661Z","signature_b64":"05SonTpzT2TuLdcnxr0X/orb9ZTueAa89IrR2MCw+kxP6qmQt3yFgkBJg6M0uNxPce5D+vzaHLv9Ct5xf3weBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2a09fbaa98784fb216d7c7f20e4392dc7f7efe221887e00ab896917d35e518c","last_reissued_at":"2026-05-18T00:17:13.381073Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:13.381073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"SU(N) Fermions in a One-Dimensional Harmonic Trap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"E. K. Laird, J. Levinsen, M. M. Parish, Z.-Y. Shi","submitted_at":"2017-07-25T01:11:23Z","abstract_excerpt":"We conduct a theoretical study of SU(N) fermions confined by a one-dimensional harmonic potential. Firstly, we introduce a new numerical approach for solving the trapped interacting few-body problem, by which one may obtain accurate energy spectra across the full range of interaction strengths. In the strong-coupling limit, we map the SU(N) Hamiltonian to a spin-chain model. We then show that an existing, extremely accurate ansatz - derived for a Heisenberg SU(2) spin chain - is extendable to these N-component systems. Lastly, we consider balanced SU(N) Fermi gases that have an equal number of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07781","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":"1707.07781","created_at":"2026-05-18T00:17:13.381142+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.07781v2","created_at":"2026-05-18T00:17:13.381142+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07781","created_at":"2026-05-18T00:17:13.381142+00:00"},{"alias_kind":"pith_short_12","alias_value":"UKQJ7OVJQ6CP","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_16","alias_value":"UKQJ7OVJQ6CPWILN","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_8","alias_value":"UKQJ7OVJ","created_at":"2026-05-18T12:31:46.661854+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/UKQJ7OVJQ6CPWILNPR7SBZBZFX","json":"https://pith.science/pith/UKQJ7OVJQ6CPWILNPR7SBZBZFX.json","graph_json":"https://pith.science/api/pith-number/UKQJ7OVJQ6CPWILNPR7SBZBZFX/graph.json","events_json":"https://pith.science/api/pith-number/UKQJ7OVJQ6CPWILNPR7SBZBZFX/events.json","paper":"https://pith.science/paper/UKQJ7OVJ"},"agent_actions":{"view_html":"https://pith.science/pith/UKQJ7OVJQ6CPWILNPR7SBZBZFX","download_json":"https://pith.science/pith/UKQJ7OVJQ6CPWILNPR7SBZBZFX.json","view_paper":"https://pith.science/paper/UKQJ7OVJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.07781&json=true","fetch_graph":"https://pith.science/api/pith-number/UKQJ7OVJQ6CPWILNPR7SBZBZFX/graph.json","fetch_events":"https://pith.science/api/pith-number/UKQJ7OVJQ6CPWILNPR7SBZBZFX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UKQJ7OVJQ6CPWILNPR7SBZBZFX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UKQJ7OVJQ6CPWILNPR7SBZBZFX/action/storage_attestation","attest_author":"https://pith.science/pith/UKQJ7OVJQ6CPWILNPR7SBZBZFX/action/author_attestation","sign_citation":"https://pith.science/pith/UKQJ7OVJQ6CPWILNPR7SBZBZFX/action/citation_signature","submit_replication":"https://pith.science/pith/UKQJ7OVJQ6CPWILNPR7SBZBZFX/action/replication_record"}},"created_at":"2026-05-18T00:17:13.381142+00:00","updated_at":"2026-05-18T00:17:13.381142+00:00"}