{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:YUR5Z2X6LWMFOQDOX3N6IGVVBI","short_pith_number":"pith:YUR5Z2X6","schema_version":"1.0","canonical_sha256":"c523dceafe5d9857406ebedbe41ab50a390c1ef50a87a46017f7eeae64466146","source":{"kind":"arxiv","id":"1211.6224","version":2},"attestation_state":"computed","paper":{"title":"Critical parameters from trap-size scaling in trapped particle systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","hep-lat"],"primary_cat":"cond-mat.stat-mech","authors_text":"Christian Torrero, Ettore Vicari, Giacomo Ceccarelli","submitted_at":"2012-11-27T07:36:37Z","abstract_excerpt":"We investigate the critical behavior of trapped particle systems at the low-temperature superfluid transition. In particular, we consider the three-dimensional Bose-Hubbard model in the presence of a trapping harmonic potential coupled with the particle density, which is a realistic model of cold bosonic atoms in optical lattices. We present a numerical study based on quantum Monte Carlo simulations, analyzed in the framework of the trap-size scaling (TSS).\n  We show how the critical parameters can be derived from the trap-size dependences of appropriate observables, matching them with TSS. Th"},"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":"1211.6224","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-11-27T07:36:37Z","cross_cats_sorted":["cond-mat.quant-gas","hep-lat"],"title_canon_sha256":"c3a009e3b7c30db377f12713d525ea46e9e28f6f62332f4e58ce2d47ee9fb574","abstract_canon_sha256":"2c27b3466110b22d3006f04dd1a87a67db640776f43e609ef24167532aa0eda7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:57.030424Z","signature_b64":"A4e/ZSCh4ZAwOUA27/BN4/SL22h0lKd0nrf9XkWCBMYf6rZb+ziWQ/a99XawZ6hEbmjy8ygGdBThbL8a85AaCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c523dceafe5d9857406ebedbe41ab50a390c1ef50a87a46017f7eeae64466146","last_reissued_at":"2026-05-18T03:17:57.029694Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:57.029694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Critical parameters from trap-size scaling in trapped particle systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","hep-lat"],"primary_cat":"cond-mat.stat-mech","authors_text":"Christian Torrero, Ettore Vicari, Giacomo Ceccarelli","submitted_at":"2012-11-27T07:36:37Z","abstract_excerpt":"We investigate the critical behavior of trapped particle systems at the low-temperature superfluid transition. In particular, we consider the three-dimensional Bose-Hubbard model in the presence of a trapping harmonic potential coupled with the particle density, which is a realistic model of cold bosonic atoms in optical lattices. We present a numerical study based on quantum Monte Carlo simulations, analyzed in the framework of the trap-size scaling (TSS).\n  We show how the critical parameters can be derived from the trap-size dependences of appropriate observables, matching them with TSS. Th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6224","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":"1211.6224","created_at":"2026-05-18T03:17:57.029816+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.6224v2","created_at":"2026-05-18T03:17:57.029816+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6224","created_at":"2026-05-18T03:17:57.029816+00:00"},{"alias_kind":"pith_short_12","alias_value":"YUR5Z2X6LWMF","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_16","alias_value":"YUR5Z2X6LWMFOQDO","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_8","alias_value":"YUR5Z2X6","created_at":"2026-05-18T12:27:30.460161+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2103.02626","citing_title":"Coherent and dissipative dynamics at quantum phase transitions","ref_index":193,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YUR5Z2X6LWMFOQDOX3N6IGVVBI","json":"https://pith.science/pith/YUR5Z2X6LWMFOQDOX3N6IGVVBI.json","graph_json":"https://pith.science/api/pith-number/YUR5Z2X6LWMFOQDOX3N6IGVVBI/graph.json","events_json":"https://pith.science/api/pith-number/YUR5Z2X6LWMFOQDOX3N6IGVVBI/events.json","paper":"https://pith.science/paper/YUR5Z2X6"},"agent_actions":{"view_html":"https://pith.science/pith/YUR5Z2X6LWMFOQDOX3N6IGVVBI","download_json":"https://pith.science/pith/YUR5Z2X6LWMFOQDOX3N6IGVVBI.json","view_paper":"https://pith.science/paper/YUR5Z2X6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.6224&json=true","fetch_graph":"https://pith.science/api/pith-number/YUR5Z2X6LWMFOQDOX3N6IGVVBI/graph.json","fetch_events":"https://pith.science/api/pith-number/YUR5Z2X6LWMFOQDOX3N6IGVVBI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YUR5Z2X6LWMFOQDOX3N6IGVVBI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YUR5Z2X6LWMFOQDOX3N6IGVVBI/action/storage_attestation","attest_author":"https://pith.science/pith/YUR5Z2X6LWMFOQDOX3N6IGVVBI/action/author_attestation","sign_citation":"https://pith.science/pith/YUR5Z2X6LWMFOQDOX3N6IGVVBI/action/citation_signature","submit_replication":"https://pith.science/pith/YUR5Z2X6LWMFOQDOX3N6IGVVBI/action/replication_record"}},"created_at":"2026-05-18T03:17:57.029816+00:00","updated_at":"2026-05-18T03:17:57.029816+00:00"}