{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:2LZLE6657KN7UGIIZVQ6AFILVC","short_pith_number":"pith:2LZLE665","schema_version":"1.0","canonical_sha256":"d2f2b27bddfa9bfa1908cd61e0150ba8a9babe4b0f4ab67bb2da6f32c7cefaef","source":{"kind":"arxiv","id":"1512.08446","version":1},"attestation_state":"computed","paper":{"title":"Critical temperature of trapped interacting bosons from large-N based theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Chih-Chun Chien, Tom Kim","submitted_at":"2015-12-28T16:28:17Z","abstract_excerpt":"Ultracold atoms provide clues to an important many-body problem regarding the dependence of Bose-Einstein condensation (BEC) transition temperature $T_c$ on interactions. However, cold atoms are trapped in harmonic potentials and theoretical evaluations of the $T_c$ shift of trapped interacting Bose gases are challenging. While previous predictions of the leading-order shift have been confirmed, more recent experiments exhibit higher-order corrections beyond available mean-field theories. By implementing two large-N based theories with the local density approximation (LDA), we extract next-ord"},"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":"1512.08446","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-12-28T16:28:17Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"1a7053fb15ece42cfe7053f572693be5b5a0a523dccc2900f90109521a22f0d0","abstract_canon_sha256":"ece941027d8c6809835c3f77c028a825f8edf10b096bc5bd9a682c4ca12d524a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:08.561918Z","signature_b64":"b+rwW8beLJ+aNM1zhkT89ePc33Aq0atOOFR08MZ2jwcvex7RI+kN7Kom+Re0T4UrTEUwBIdISfksMMpPtOXkAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2f2b27bddfa9bfa1908cd61e0150ba8a9babe4b0f4ab67bb2da6f32c7cefaef","last_reissued_at":"2026-05-18T01:18:08.561438Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:08.561438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Critical temperature of trapped interacting bosons from large-N based theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Chih-Chun Chien, Tom Kim","submitted_at":"2015-12-28T16:28:17Z","abstract_excerpt":"Ultracold atoms provide clues to an important many-body problem regarding the dependence of Bose-Einstein condensation (BEC) transition temperature $T_c$ on interactions. However, cold atoms are trapped in harmonic potentials and theoretical evaluations of the $T_c$ shift of trapped interacting Bose gases are challenging. While previous predictions of the leading-order shift have been confirmed, more recent experiments exhibit higher-order corrections beyond available mean-field theories. By implementing two large-N based theories with the local density approximation (LDA), we extract next-ord"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08446","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":"1512.08446","created_at":"2026-05-18T01:18:08.561515+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.08446v1","created_at":"2026-05-18T01:18:08.561515+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.08446","created_at":"2026-05-18T01:18:08.561515+00:00"},{"alias_kind":"pith_short_12","alias_value":"2LZLE6657KN7","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"2LZLE6657KN7UGII","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"2LZLE665","created_at":"2026-05-18T12:29:02.477457+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/2LZLE6657KN7UGIIZVQ6AFILVC","json":"https://pith.science/pith/2LZLE6657KN7UGIIZVQ6AFILVC.json","graph_json":"https://pith.science/api/pith-number/2LZLE6657KN7UGIIZVQ6AFILVC/graph.json","events_json":"https://pith.science/api/pith-number/2LZLE6657KN7UGIIZVQ6AFILVC/events.json","paper":"https://pith.science/paper/2LZLE665"},"agent_actions":{"view_html":"https://pith.science/pith/2LZLE6657KN7UGIIZVQ6AFILVC","download_json":"https://pith.science/pith/2LZLE6657KN7UGIIZVQ6AFILVC.json","view_paper":"https://pith.science/paper/2LZLE665","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.08446&json=true","fetch_graph":"https://pith.science/api/pith-number/2LZLE6657KN7UGIIZVQ6AFILVC/graph.json","fetch_events":"https://pith.science/api/pith-number/2LZLE6657KN7UGIIZVQ6AFILVC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2LZLE6657KN7UGIIZVQ6AFILVC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2LZLE6657KN7UGIIZVQ6AFILVC/action/storage_attestation","attest_author":"https://pith.science/pith/2LZLE6657KN7UGIIZVQ6AFILVC/action/author_attestation","sign_citation":"https://pith.science/pith/2LZLE6657KN7UGIIZVQ6AFILVC/action/citation_signature","submit_replication":"https://pith.science/pith/2LZLE6657KN7UGIIZVQ6AFILVC/action/replication_record"}},"created_at":"2026-05-18T01:18:08.561515+00:00","updated_at":"2026-05-18T01:18:08.561515+00:00"}