{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:TO6CWQLD3LKRZ7K4BYA2FOSA3W","short_pith_number":"pith:TO6CWQLD","schema_version":"1.0","canonical_sha256":"9bbc2b4163dad51cfd5c0e01a2ba40ddaf5bf11fa8e0d94236f71d6010d8229c","source":{"kind":"arxiv","id":"cond-mat/0202344","version":1},"attestation_state":"computed","paper":{"title":"Topology of the ground state of two interacting Bose-Einstein condensates","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Francesco Riboli, Michele Modugno","submitted_at":"2002-02-20T11:52:32Z","abstract_excerpt":"We investigate the spatial patterns of the ground state of two interacting Bose-Einstein condensates. We consider the general case of two different atomic species (with different mass and in different hyperfine states) trapped in a magnetic potential whose eigenaxes can be tilted with respect to the vertical direction, giving rise to a non trivial gravitational sag. Despite the complicated geometry, we show that within the Thomas-Fermi approximations and upon appropriate coordinate transformations, the equations for the density distributions can be put in a very simple form. Starting from this"},"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/0202344","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2002-02-20T11:52:32Z","cross_cats_sorted":[],"title_canon_sha256":"502471ff75e6f7e55eb293e67c1e8269e2f56b32a142c972f6bc3687181ae658","abstract_canon_sha256":"28b80a02879501ee9a0d742bc27ae3772b53a978d6411b34e668cd0ffb3823c9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:59.995536Z","signature_b64":"prRhSDsexCj/wU0V4hjWIUzAh1gNJ4+fHG8zinDuvescyUP9HS1m7VefjcKhSI/GIvqf465JxEqHqj/ECCw8Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bbc2b4163dad51cfd5c0e01a2ba40ddaf5bf11fa8e0d94236f71d6010d8229c","last_reissued_at":"2026-05-18T01:06:59.994838Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:59.994838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topology of the ground state of two interacting Bose-Einstein condensates","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Francesco Riboli, Michele Modugno","submitted_at":"2002-02-20T11:52:32Z","abstract_excerpt":"We investigate the spatial patterns of the ground state of two interacting Bose-Einstein condensates. We consider the general case of two different atomic species (with different mass and in different hyperfine states) trapped in a magnetic potential whose eigenaxes can be tilted with respect to the vertical direction, giving rise to a non trivial gravitational sag. Despite the complicated geometry, we show that within the Thomas-Fermi approximations and upon appropriate coordinate transformations, the equations for the density distributions can be put in a very simple form. Starting from this"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0202344","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":"cond-mat/0202344","created_at":"2026-05-18T01:06:59.994942+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0202344v1","created_at":"2026-05-18T01:06:59.994942+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0202344","created_at":"2026-05-18T01:06:59.994942+00:00"},{"alias_kind":"pith_short_12","alias_value":"TO6CWQLD3LKR","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"TO6CWQLD3LKRZ7K4","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"TO6CWQLD","created_at":"2026-05-18T12:25:51.375804+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/TO6CWQLD3LKRZ7K4BYA2FOSA3W","json":"https://pith.science/pith/TO6CWQLD3LKRZ7K4BYA2FOSA3W.json","graph_json":"https://pith.science/api/pith-number/TO6CWQLD3LKRZ7K4BYA2FOSA3W/graph.json","events_json":"https://pith.science/api/pith-number/TO6CWQLD3LKRZ7K4BYA2FOSA3W/events.json","paper":"https://pith.science/paper/TO6CWQLD"},"agent_actions":{"view_html":"https://pith.science/pith/TO6CWQLD3LKRZ7K4BYA2FOSA3W","download_json":"https://pith.science/pith/TO6CWQLD3LKRZ7K4BYA2FOSA3W.json","view_paper":"https://pith.science/paper/TO6CWQLD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0202344&json=true","fetch_graph":"https://pith.science/api/pith-number/TO6CWQLD3LKRZ7K4BYA2FOSA3W/graph.json","fetch_events":"https://pith.science/api/pith-number/TO6CWQLD3LKRZ7K4BYA2FOSA3W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TO6CWQLD3LKRZ7K4BYA2FOSA3W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TO6CWQLD3LKRZ7K4BYA2FOSA3W/action/storage_attestation","attest_author":"https://pith.science/pith/TO6CWQLD3LKRZ7K4BYA2FOSA3W/action/author_attestation","sign_citation":"https://pith.science/pith/TO6CWQLD3LKRZ7K4BYA2FOSA3W/action/citation_signature","submit_replication":"https://pith.science/pith/TO6CWQLD3LKRZ7K4BYA2FOSA3W/action/replication_record"}},"created_at":"2026-05-18T01:06:59.994942+00:00","updated_at":"2026-05-18T01:06:59.994942+00:00"}