{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:ARRHFRCOGPYHND7BBM6C72SO2H","short_pith_number":"pith:ARRHFRCO","schema_version":"1.0","canonical_sha256":"046272c44e33f0768fe10b3c2fea4ed1c848a76caf0ff8b4de9fd68c0092e65f","source":{"kind":"arxiv","id":"cond-mat/0304141","version":2},"attestation_state":"computed","paper":{"title":"Three-dimensional quasi-Tonks gas in a harmonic trap","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"L. Santos, P. Pedri","submitted_at":"2003-04-07T09:04:44Z","abstract_excerpt":"We analyze the macroscopic dynamics of a Bose gas in a harmonic trap with a superimposed two-dimensional optical lattice, assuming a weak coupling between different lattice sites. We consider the situation in which the local chemical potential at each lattice site can be considered as that provided by the Lieb-Liniger solution. Due to the weak coupling between sites and the form of the chemical potential, the three-dimensional ground-state density profile and the excitation spectrum acquire remarkable properties different from both 1D and 3D gases. We call this system a quasi-Tonks gas. We dis"},"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":"cond-mat/0304141","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2003-04-07T09:04:44Z","cross_cats_sorted":[],"title_canon_sha256":"d3fc2dbda05261f2dab96c47a1255a7868b64a6ac3db4d9d31aa93f0c3a1a8cd","abstract_canon_sha256":"3382a62fb9c0d9a686bcea32e6b79ac27146fd4e2cd195a943c453dc0146355f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:38:36.313501Z","signature_b64":"kEC4YtEmHAMuHIARZib55kP/7n1zujpxV+o4oTB1SKXXvPd3v8IwF/7+2geAyBH8DNZsXkeannm+X4zx3ubcDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"046272c44e33f0768fe10b3c2fea4ed1c848a76caf0ff8b4de9fd68c0092e65f","last_reissued_at":"2026-07-04T16:38:36.313058Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:38:36.313058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Three-dimensional quasi-Tonks gas in a harmonic trap","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"L. Santos, P. Pedri","submitted_at":"2003-04-07T09:04:44Z","abstract_excerpt":"We analyze the macroscopic dynamics of a Bose gas in a harmonic trap with a superimposed two-dimensional optical lattice, assuming a weak coupling between different lattice sites. We consider the situation in which the local chemical potential at each lattice site can be considered as that provided by the Lieb-Liniger solution. Due to the weak coupling between sites and the form of the chemical potential, the three-dimensional ground-state density profile and the excitation spectrum acquire remarkable properties different from both 1D and 3D gases. We call this system a quasi-Tonks gas. We dis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0304141","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0304141/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"cond-mat/0304141","created_at":"2026-07-04T16:38:36.313132+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0304141v2","created_at":"2026-07-04T16:38:36.313132+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0304141","created_at":"2026-07-04T16:38:36.313132+00:00"},{"alias_kind":"pith_short_12","alias_value":"ARRHFRCOGPYH","created_at":"2026-07-04T16:38:36.313132+00:00"},{"alias_kind":"pith_short_16","alias_value":"ARRHFRCOGPYHND7B","created_at":"2026-07-04T16:38:36.313132+00:00"},{"alias_kind":"pith_short_8","alias_value":"ARRHFRCO","created_at":"2026-07-04T16:38:36.313132+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/ARRHFRCOGPYHND7BBM6C72SO2H","json":"https://pith.science/pith/ARRHFRCOGPYHND7BBM6C72SO2H.json","graph_json":"https://pith.science/api/pith-number/ARRHFRCOGPYHND7BBM6C72SO2H/graph.json","events_json":"https://pith.science/api/pith-number/ARRHFRCOGPYHND7BBM6C72SO2H/events.json","paper":"https://pith.science/paper/ARRHFRCO"},"agent_actions":{"view_html":"https://pith.science/pith/ARRHFRCOGPYHND7BBM6C72SO2H","download_json":"https://pith.science/pith/ARRHFRCOGPYHND7BBM6C72SO2H.json","view_paper":"https://pith.science/paper/ARRHFRCO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0304141&json=true","fetch_graph":"https://pith.science/api/pith-number/ARRHFRCOGPYHND7BBM6C72SO2H/graph.json","fetch_events":"https://pith.science/api/pith-number/ARRHFRCOGPYHND7BBM6C72SO2H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ARRHFRCOGPYHND7BBM6C72SO2H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ARRHFRCOGPYHND7BBM6C72SO2H/action/storage_attestation","attest_author":"https://pith.science/pith/ARRHFRCOGPYHND7BBM6C72SO2H/action/author_attestation","sign_citation":"https://pith.science/pith/ARRHFRCOGPYHND7BBM6C72SO2H/action/citation_signature","submit_replication":"https://pith.science/pith/ARRHFRCOGPYHND7BBM6C72SO2H/action/replication_record"}},"created_at":"2026-07-04T16:38:36.313132+00:00","updated_at":"2026-07-04T16:38:36.313132+00:00"}