{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2SAA46CAPTHDRP57BBK3EUI6VH","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":"216f747d1504e3bd5dab803b3db41588794f52791375b781df6f15be927b4070","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-07-21T01:30:39Z","title_canon_sha256":"a82b3a96443f8f4279be3b16c4211f258f1bb833aab6588e2c660db966783eab"},"schema_version":"1.0","source":{"id":"1007.3548","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.3548","created_at":"2026-05-18T02:06:12Z"},{"alias_kind":"arxiv_version","alias_value":"1007.3548v2","created_at":"2026-05-18T02:06:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.3548","created_at":"2026-05-18T02:06:12Z"},{"alias_kind":"pith_short_12","alias_value":"2SAA46CAPTHD","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2SAA46CAPTHDRP57","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2SAA46CA","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:1b9bb9292c2fc2b727242f3a4252d31840e126dd806e41b1fb02a17f52235534","target":"graph","created_at":"2026-05-18T02:06:12Z","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 have calculated the low-lying elementary excitations of three-dimensional few-vortex arrays in trapped Bose-Einstein condensates. The number of different Kelvin-Tkachenko vortex wave branches matches the number of vortices in the condensate. The lowest odd-parity modes exhibit superfluid gyroscopic vortex motion. Experimentally, these modes could be excited and observed individually or in connection with the formation and decay of quantum turbulence.","authors_text":"K. Machida, T.P. Simula","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-07-21T01:30:39Z","title":"Kelvin-Tkachenko waves of few-vortex arrays in trapped Bose-Einstein condensates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.3548","kind":"arxiv","version":2},"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:d986c3a8426bc3e336ce2fc3c18a602a1a66a71ea45460879ccc334642bc4efd","target":"record","created_at":"2026-05-18T02:06:12Z","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":"216f747d1504e3bd5dab803b3db41588794f52791375b781df6f15be927b4070","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-07-21T01:30:39Z","title_canon_sha256":"a82b3a96443f8f4279be3b16c4211f258f1bb833aab6588e2c660db966783eab"},"schema_version":"1.0","source":{"id":"1007.3548","kind":"arxiv","version":2}},"canonical_sha256":"d4800e78407cce38bfbf0855b2511ea9eb4afd9efbeca0102656738963a7d502","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4800e78407cce38bfbf0855b2511ea9eb4afd9efbeca0102656738963a7d502","first_computed_at":"2026-05-18T02:06:12.163510Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:06:12.163510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rDkK0l24yRo48cw4olKDudNIheckQXM2aHwX4Y497RwQ3xsRheFvWFjUf/PBDvTHQHIdeiEvMPL/KjpUDtJ+CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:06:12.164172Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.3548","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d986c3a8426bc3e336ce2fc3c18a602a1a66a71ea45460879ccc334642bc4efd","sha256:1b9bb9292c2fc2b727242f3a4252d31840e126dd806e41b1fb02a17f52235534"],"state_sha256":"16b5c24e9d14c4b2f6bf853d12005122ed8e5be46772ef6780d72ab273ed8b66"}