{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:6ASVKLAHTH7VVLV57CF6TLGIMB","short_pith_number":"pith:6ASVKLAH","schema_version":"1.0","canonical_sha256":"f025552c0799ff5aaebdf88be9acc86079ece608715c862fd69a944e420fe1d9","source":{"kind":"arxiv","id":"1611.00626","version":3},"attestation_state":"computed","paper":{"title":"Trap effects and continuum limit of the Hubbard model in the presence of a harmonic potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Davide Nigro","submitted_at":"2016-11-02T14:25:48Z","abstract_excerpt":"We give a prescription to perform the continuum limit of the $d$-dimensional Hubbard model in the presence of a harmonic trap at zero temperature. We perform the continuum limit at fixed number of particles. In $d\\geq3$ the lattice system of spin-1/2 particles is mapped into a non-interacting two-component Fermi gas in a harmonic trap. In $d=1$ and $d=2$ the particles with opposite spin interact via a Dirac delta interaction. We show that the properties of this continuum limit can be put in correspondence with those derived applying the Trap-Size scaling (TSS) formalism to the confined Hubbard"},"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":"1611.00626","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-11-02T14:25:48Z","cross_cats_sorted":[],"title_canon_sha256":"70b344a66a26d7c8808fe916ade20f2953543bd049504c7ea3f5c51eca84b5d7","abstract_canon_sha256":"aa3ca938cf3f8d6d3a8fdd92088ecd1e3921c2d3e71089602d513b37c35dd227"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:24.385081Z","signature_b64":"whZa7s/EUNv1gyVmkmVNoxSQDzswWekM0VoTdgDsHfWb3S5E6G2OMUCkdmclwehj2QrQB3jPhGnLtjH3ndEwBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f025552c0799ff5aaebdf88be9acc86079ece608715c862fd69a944e420fe1d9","last_reissued_at":"2026-05-18T00:35:24.384482Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:24.384482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Trap effects and continuum limit of the Hubbard model in the presence of a harmonic potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Davide Nigro","submitted_at":"2016-11-02T14:25:48Z","abstract_excerpt":"We give a prescription to perform the continuum limit of the $d$-dimensional Hubbard model in the presence of a harmonic trap at zero temperature. We perform the continuum limit at fixed number of particles. In $d\\geq3$ the lattice system of spin-1/2 particles is mapped into a non-interacting two-component Fermi gas in a harmonic trap. In $d=1$ and $d=2$ the particles with opposite spin interact via a Dirac delta interaction. We show that the properties of this continuum limit can be put in correspondence with those derived applying the Trap-Size scaling (TSS) formalism to the confined Hubbard"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00626","kind":"arxiv","version":3},"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":"1611.00626","created_at":"2026-05-18T00:35:24.384579+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.00626v3","created_at":"2026-05-18T00:35:24.384579+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00626","created_at":"2026-05-18T00:35:24.384579+00:00"},{"alias_kind":"pith_short_12","alias_value":"6ASVKLAHTH7V","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_16","alias_value":"6ASVKLAHTH7VVLV5","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_8","alias_value":"6ASVKLAH","created_at":"2026-05-18T12:30:01.593930+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/6ASVKLAHTH7VVLV57CF6TLGIMB","json":"https://pith.science/pith/6ASVKLAHTH7VVLV57CF6TLGIMB.json","graph_json":"https://pith.science/api/pith-number/6ASVKLAHTH7VVLV57CF6TLGIMB/graph.json","events_json":"https://pith.science/api/pith-number/6ASVKLAHTH7VVLV57CF6TLGIMB/events.json","paper":"https://pith.science/paper/6ASVKLAH"},"agent_actions":{"view_html":"https://pith.science/pith/6ASVKLAHTH7VVLV57CF6TLGIMB","download_json":"https://pith.science/pith/6ASVKLAHTH7VVLV57CF6TLGIMB.json","view_paper":"https://pith.science/paper/6ASVKLAH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.00626&json=true","fetch_graph":"https://pith.science/api/pith-number/6ASVKLAHTH7VVLV57CF6TLGIMB/graph.json","fetch_events":"https://pith.science/api/pith-number/6ASVKLAHTH7VVLV57CF6TLGIMB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6ASVKLAHTH7VVLV57CF6TLGIMB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6ASVKLAHTH7VVLV57CF6TLGIMB/action/storage_attestation","attest_author":"https://pith.science/pith/6ASVKLAHTH7VVLV57CF6TLGIMB/action/author_attestation","sign_citation":"https://pith.science/pith/6ASVKLAHTH7VVLV57CF6TLGIMB/action/citation_signature","submit_replication":"https://pith.science/pith/6ASVKLAHTH7VVLV57CF6TLGIMB/action/replication_record"}},"created_at":"2026-05-18T00:35:24.384579+00:00","updated_at":"2026-05-18T00:35:24.384579+00:00"}