{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:NEWHYZI55FH3IAEZWYYETKHC5F","short_pith_number":"pith:NEWHYZI5","schema_version":"1.0","canonical_sha256":"692c7c651de94fb40099b63049a8e2e96b174d94fa352de883706a6b8e189a06","source":{"kind":"arxiv","id":"1207.2391","version":1},"attestation_state":"computed","paper":{"title":"Large-N approximation for single- and two-component dilute Bose gases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Chih-Chun Chien, Eddy Timmermans, Fred Cooper","submitted_at":"2012-07-10T15:41:52Z","abstract_excerpt":"We discuss the mean-field theories obtained from the leading order in a large-$N$ approximation for one- and two- component dilute Bose gases. For a one-component Bose gas this approximation has the following properties: the Bose-Einstein condensation (BEC) phase transition is second order but the critical temperature $T_c$ is not shifted from the non-interacting gas value $T_0$. The spectrum of excitations in the BEC phase resembles the Bogoliubov dispersion with the usual coupling constant replaced by the running coupling constant which depends on both temperature and momentum. We then study"},"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":"1207.2391","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-07-10T15:41:52Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"a5093c8bc90e17c61ed8dd14af971d8a0a9559a292ab96a1cfcfc2530abdb7ac","abstract_canon_sha256":"7b1dc8f312bd627b3eb368aa546b7d8bb0aef4226eab324517b6384d671dcdc5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:46:18.242232Z","signature_b64":"eQBSClhLHfbbIE0LhYvTrPcuatAe4NrouryzQ73llnF8BmS8H1HKN6IOCn5OAyjqwSgbsjUiyqxoTxGJgT1YDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"692c7c651de94fb40099b63049a8e2e96b174d94fa352de883706a6b8e189a06","last_reissued_at":"2026-05-18T03:46:18.241503Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:46:18.241503Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large-N approximation for single- and two-component dilute Bose gases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Chih-Chun Chien, Eddy Timmermans, Fred Cooper","submitted_at":"2012-07-10T15:41:52Z","abstract_excerpt":"We discuss the mean-field theories obtained from the leading order in a large-$N$ approximation for one- and two- component dilute Bose gases. For a one-component Bose gas this approximation has the following properties: the Bose-Einstein condensation (BEC) phase transition is second order but the critical temperature $T_c$ is not shifted from the non-interacting gas value $T_0$. The spectrum of excitations in the BEC phase resembles the Bogoliubov dispersion with the usual coupling constant replaced by the running coupling constant which depends on both temperature and momentum. We then study"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.2391","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":"1207.2391","created_at":"2026-05-18T03:46:18.241642+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.2391v1","created_at":"2026-05-18T03:46:18.241642+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.2391","created_at":"2026-05-18T03:46:18.241642+00:00"},{"alias_kind":"pith_short_12","alias_value":"NEWHYZI55FH3","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_16","alias_value":"NEWHYZI55FH3IAEZ","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_8","alias_value":"NEWHYZI5","created_at":"2026-05-18T12:27:16.716162+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/NEWHYZI55FH3IAEZWYYETKHC5F","json":"https://pith.science/pith/NEWHYZI55FH3IAEZWYYETKHC5F.json","graph_json":"https://pith.science/api/pith-number/NEWHYZI55FH3IAEZWYYETKHC5F/graph.json","events_json":"https://pith.science/api/pith-number/NEWHYZI55FH3IAEZWYYETKHC5F/events.json","paper":"https://pith.science/paper/NEWHYZI5"},"agent_actions":{"view_html":"https://pith.science/pith/NEWHYZI55FH3IAEZWYYETKHC5F","download_json":"https://pith.science/pith/NEWHYZI55FH3IAEZWYYETKHC5F.json","view_paper":"https://pith.science/paper/NEWHYZI5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.2391&json=true","fetch_graph":"https://pith.science/api/pith-number/NEWHYZI55FH3IAEZWYYETKHC5F/graph.json","fetch_events":"https://pith.science/api/pith-number/NEWHYZI55FH3IAEZWYYETKHC5F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NEWHYZI55FH3IAEZWYYETKHC5F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NEWHYZI55FH3IAEZWYYETKHC5F/action/storage_attestation","attest_author":"https://pith.science/pith/NEWHYZI55FH3IAEZWYYETKHC5F/action/author_attestation","sign_citation":"https://pith.science/pith/NEWHYZI55FH3IAEZWYYETKHC5F/action/citation_signature","submit_replication":"https://pith.science/pith/NEWHYZI55FH3IAEZWYYETKHC5F/action/replication_record"}},"created_at":"2026-05-18T03:46:18.241642+00:00","updated_at":"2026-05-18T03:46:18.241642+00:00"}