{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:TO6CWQLD3LKRZ7K4BYA2FOSA3W","short_pith_number":"pith:TO6CWQLD","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"},"canonical_sha256":"9bbc2b4163dad51cfd5c0e01a2ba40ddaf5bf11fa8e0d94236f71d6010d8229c","source":{"kind":"arxiv","id":"cond-mat/0202344","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0202344","created_at":"2026-05-18T01:06:59Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0202344v1","created_at":"2026-05-18T01:06:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0202344","created_at":"2026-05-18T01:06:59Z"},{"alias_kind":"pith_short_12","alias_value":"TO6CWQLD3LKR","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"TO6CWQLD3LKRZ7K4","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"TO6CWQLD","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:TO6CWQLD3LKRZ7K4BYA2FOSA3W","target":"record","payload":{"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"},"canonical_sha256":"9bbc2b4163dad51cfd5c0e01a2ba40ddaf5bf11fa8e0d94236f71d6010d8229c","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"},"source_kind":"arxiv","source_id":"cond-mat/0202344","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:06:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gBk25wEXPIcUsgejxVzQaZ3nzAN1DBcggBGZkw/RaO+VtWr+oTJHU9ITSVXVtqsaIzSFN3yIs6zTrFznHaFCDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:21:14.169265Z"},"content_sha256":"c2555820521d3a183743e9c6e5b4d0ca0d58f6e7212a6f3fd8e13d3f5cc8c182","schema_version":"1.0","event_id":"sha256:c2555820521d3a183743e9c6e5b4d0ca0d58f6e7212a6f3fd8e13d3f5cc8c182"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:TO6CWQLD3LKRZ7K4BYA2FOSA3W","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:06:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4ZTQ2zLVc1Iz/YEim3qq6RcownJSYouBsaZgTc0z5UqSApGyrdXIxmx66S52q22GFOQsPxDrWso3AhAhIeuwBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:21:14.169685Z"},"content_sha256":"55aa264addfa171f19be65c013e1a0a48a630b59d14f2b34f6aaf999b24c02f6","schema_version":"1.0","event_id":"sha256:55aa264addfa171f19be65c013e1a0a48a630b59d14f2b34f6aaf999b24c02f6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TO6CWQLD3LKRZ7K4BYA2FOSA3W/bundle.json","state_url":"https://pith.science/pith/TO6CWQLD3LKRZ7K4BYA2FOSA3W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TO6CWQLD3LKRZ7K4BYA2FOSA3W/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T18:21:14Z","links":{"resolver":"https://pith.science/pith/TO6CWQLD3LKRZ7K4BYA2FOSA3W","bundle":"https://pith.science/pith/TO6CWQLD3LKRZ7K4BYA2FOSA3W/bundle.json","state":"https://pith.science/pith/TO6CWQLD3LKRZ7K4BYA2FOSA3W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TO6CWQLD3LKRZ7K4BYA2FOSA3W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:TO6CWQLD3LKRZ7K4BYA2FOSA3W","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"28b80a02879501ee9a0d742bc27ae3772b53a978d6411b34e668cd0ffb3823c9","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"2002-02-20T11:52:32Z","title_canon_sha256":"502471ff75e6f7e55eb293e67c1e8269e2f56b32a142c972f6bc3687181ae658"},"schema_version":"1.0","source":{"id":"cond-mat/0202344","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0202344","created_at":"2026-05-18T01:06:59Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0202344v1","created_at":"2026-05-18T01:06:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0202344","created_at":"2026-05-18T01:06:59Z"},{"alias_kind":"pith_short_12","alias_value":"TO6CWQLD3LKR","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"TO6CWQLD3LKRZ7K4","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"TO6CWQLD","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:55aa264addfa171f19be65c013e1a0a48a630b59d14f2b34f6aaf999b24c02f6","target":"graph","created_at":"2026-05-18T01:06:59Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Francesco Riboli, Michele Modugno","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"2002-02-20T11:52:32Z","title":"Topology of the ground state of two interacting Bose-Einstein condensates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0202344","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c2555820521d3a183743e9c6e5b4d0ca0d58f6e7212a6f3fd8e13d3f5cc8c182","target":"record","created_at":"2026-05-18T01:06:59Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"28b80a02879501ee9a0d742bc27ae3772b53a978d6411b34e668cd0ffb3823c9","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"2002-02-20T11:52:32Z","title_canon_sha256":"502471ff75e6f7e55eb293e67c1e8269e2f56b32a142c972f6bc3687181ae658"},"schema_version":"1.0","source":{"id":"cond-mat/0202344","kind":"arxiv","version":1}},"canonical_sha256":"9bbc2b4163dad51cfd5c0e01a2ba40ddaf5bf11fa8e0d94236f71d6010d8229c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9bbc2b4163dad51cfd5c0e01a2ba40ddaf5bf11fa8e0d94236f71d6010d8229c","first_computed_at":"2026-05-18T01:06:59.994838Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:59.994838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"prRhSDsexCj/wU0V4hjWIUzAh1gNJ4+fHG8zinDuvescyUP9HS1m7VefjcKhSI/GIvqf465JxEqHqj/ECCw8Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:59.995536Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0202344","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c2555820521d3a183743e9c6e5b4d0ca0d58f6e7212a6f3fd8e13d3f5cc8c182","sha256:55aa264addfa171f19be65c013e1a0a48a630b59d14f2b34f6aaf999b24c02f6"],"state_sha256":"c975ac0644f0ff2a7a1ed15e104f5ea437d87e56138294aa69d0d82bc1c4063b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A2fa6AEyMYGy8lycl3hE+uB0jBmCw6Ei3b3Iou1TtVwtc8Lm2V3MtmMrLA3JpPA+u7BQDGX06vkHAH7VnDchCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T18:21:14.171903Z","bundle_sha256":"87176b3d1b1b19070877e4d2ee4c1328a1546a302a385d04a51bcf6bba38a712"}}