{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NZ2LDBKD6YEIGUXLIKBTSU36GO","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":"030393615e508452f924700284684132c774121c7cc242b5c21a219ada4cd769","cross_cats_sorted":["cond-mat.quant-gas","math-ph","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-03-01T12:49:51Z","title_canon_sha256":"a6f4a7e2327885e6c386ce9d6f667a2083cab3133499f652e1dfc4a9c6b49ec8"},"schema_version":"1.0","source":{"id":"1103.0157","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.0157","created_at":"2026-05-18T03:45:40Z"},{"alias_kind":"arxiv_version","alias_value":"1103.0157v2","created_at":"2026-05-18T03:45:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.0157","created_at":"2026-05-18T03:45:40Z"},{"alias_kind":"pith_short_12","alias_value":"NZ2LDBKD6YEI","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NZ2LDBKD6YEIGUXL","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NZ2LDBKD","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:4db230431306fe3c8d9eb3b4257d3229e7624015020a162572a864951daeb78c","target":"graph","created_at":"2026-05-18T03:45:40Z","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 spectral stability of vortex solutions of the Gross-Pitaevskii equation, a mean-field approximation for Bose-Einstein condensates (BEC) in an effectively two-dimensional axisymmetric harmonic trap. We study eigenvalues of the linearization both rigorously and through computation of the Evans function, a sensitive and robust technique whose use we justify mathematically. The absence of unstable eigenvalues is justified a posteriori through use of the Krein signature of purely imaginary eigenvalues, which also can be used to significantly reduce computational effort. In particular","authors_text":"Richard Koll\\'ar, Robert L. Pego","cross_cats":["cond-mat.quant-gas","math-ph","math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-03-01T12:49:51Z","title":"Spectral stability of vortices in two-dimensional Bose-Einstein condensates via the Evans function and Krein signature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.0157","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:bff52aaf2d0dbbaf21f8fd37ccffa189f6746991520cd6c09b1227a9329e2760","target":"record","created_at":"2026-05-18T03:45:40Z","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":"030393615e508452f924700284684132c774121c7cc242b5c21a219ada4cd769","cross_cats_sorted":["cond-mat.quant-gas","math-ph","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-03-01T12:49:51Z","title_canon_sha256":"a6f4a7e2327885e6c386ce9d6f667a2083cab3133499f652e1dfc4a9c6b49ec8"},"schema_version":"1.0","source":{"id":"1103.0157","kind":"arxiv","version":2}},"canonical_sha256":"6e74b18543f6088352eb428339537e33bc57bd850e2e236fe5842854ad89aae7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e74b18543f6088352eb428339537e33bc57bd850e2e236fe5842854ad89aae7","first_computed_at":"2026-05-18T03:45:40.259591Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:40.259591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S/QUGxFLu4ebq75Ggc8qfb+xn/jTcK/V212q7Im4/eFioLbElf52IiwvsJi3PQtKIvnfQOPofjZHL04CKaMkBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:40.260149Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.0157","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bff52aaf2d0dbbaf21f8fd37ccffa189f6746991520cd6c09b1227a9329e2760","sha256:4db230431306fe3c8d9eb3b4257d3229e7624015020a162572a864951daeb78c"],"state_sha256":"fe55c491fa6b7c3e14a26b65651e50540e8dc180d3fa3cd5669a4121424f9575"}