{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KZDNPZOJJHNI6ZOUIANYR4JJKA","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":"dfd3f0dddca77e55efae0359a0519c8a5caad56a655f66caa682464d28cbbfc1","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-07-16T15:43:39Z","title_canon_sha256":"dcad711d92aeb6675fa2ff5cd9459eb7325d8aa2b128b0cab47069d0af7c9fe9"},"schema_version":"1.0","source":{"id":"1307.4312","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4312","created_at":"2026-05-18T02:57:06Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4312v1","created_at":"2026-05-18T02:57:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4312","created_at":"2026-05-18T02:57:06Z"},{"alias_kind":"pith_short_12","alias_value":"KZDNPZOJJHNI","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KZDNPZOJJHNI6ZOU","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KZDNPZOJ","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:c9f87c0fdf930556b9620931681c4faa19243b05f43ba8b1f50f388a26e95b84","target":"graph","created_at":"2026-05-18T02:57:06Z","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":"Stable vortex dimers are known to exist in coherently coupled two component Bose-Einstein condensates (BECs). We construct stable vortex trimers in three component BECs and find that the shape can be controlled by changing the internal coherent (Rabi) couplings. Stable vortex N-omers are also constructed in coherently coupled N-component BECs. We classify all possible N-omers in terms of the mathematical graph theory. Next, we study effects of the Rabi coupling in vortex lattices in two-component BECs. We find how the vortex lattices without the Rabi coupling known before are connected to the ","authors_text":"Mattia Cipriani, Minoru Eto, Muneto Nitta","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-07-16T15:43:39Z","title":"Vortex molecules in Bose-Einstein condensates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4312","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:b64b47d45e869e46f55b91ed22c1573789b4e1db60af179efad5e9a9351f84d9","target":"record","created_at":"2026-05-18T02:57:06Z","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":"dfd3f0dddca77e55efae0359a0519c8a5caad56a655f66caa682464d28cbbfc1","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-07-16T15:43:39Z","title_canon_sha256":"dcad711d92aeb6675fa2ff5cd9459eb7325d8aa2b128b0cab47069d0af7c9fe9"},"schema_version":"1.0","source":{"id":"1307.4312","kind":"arxiv","version":1}},"canonical_sha256":"5646d7e5c949da8f65d4401b88f129500c13baff33b63ed19240741a045f2d94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5646d7e5c949da8f65d4401b88f129500c13baff33b63ed19240741a045f2d94","first_computed_at":"2026-05-18T02:57:06.648131Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:06.648131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4Rnhw7edLuJr6+BnnWy0yWgA6tsh18NlKUb0wxuTsInwDg0ljIS2W9qUneCOeEyfCAAm/YJ30u3gcxmGtRE5AA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:06.648605Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.4312","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b64b47d45e869e46f55b91ed22c1573789b4e1db60af179efad5e9a9351f84d9","sha256:c9f87c0fdf930556b9620931681c4faa19243b05f43ba8b1f50f388a26e95b84"],"state_sha256":"b60408dd89b611deb4c208ddb17fdbc789d817d597f59de85cf2ccc173997a3b"}