{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:U5LMNG3MXC5L5WARM4DDVZNO64","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":"160267628f2fe3714ea1b9f7251665d7ac7127737308fc08f231b2ef5bd856c5","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.other","submitted_at":"2006-10-20T19:49:24Z","title_canon_sha256":"d44583901e981c3281c04feef4565fd97d6a6da930841558ab79fd7200c8dc09"},"schema_version":"1.0","source":{"id":"cond-mat/0610582","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0610582","created_at":"2026-05-18T01:39:40Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0610582v1","created_at":"2026-05-18T01:39:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0610582","created_at":"2026-05-18T01:39:40Z"},{"alias_kind":"pith_short_12","alias_value":"U5LMNG3MXC5L","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"U5LMNG3MXC5L5WAR","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"U5LMNG3M","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:3f591f5fdf9021d31fc9540a1a65a1f156600200b69a6c5a7e034c203891a400","target":"graph","created_at":"2026-05-18T01:39:40Z","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 study the stability of Bose-Einstein condensates with superfluid currents in a one-dimensional periodic potential. By using the Kronig-Penney model, the condensate and Bogoliubov bands are analytically calculated and the stability of condensates in a periodic potential is discussed. The Landau and dynamical instabilities occur in a Kronig-Penney potential when the quasimomentum of the condensate exceeds certain critical values as in a sinusoidal potential. It is found that the onsets of the Landau and dynamical instabilities coincide with the point where the perfect transmission of low ener","authors_text":"Ippei Danshita, Shunji Tsuchiya","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.other","submitted_at":"2006-10-20T19:49:24Z","title":"Stability of Bose-Einstein condensates in a Kronig-Penney potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0610582","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":"sha256:90f8fe1f9fad7fc136ddc9383ca79f05b9ff4252d5e19a784a96eeb98de13156","target":"record","created_at":"2026-05-18T01:39:40Z","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":"160267628f2fe3714ea1b9f7251665d7ac7127737308fc08f231b2ef5bd856c5","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.other","submitted_at":"2006-10-20T19:49:24Z","title_canon_sha256":"d44583901e981c3281c04feef4565fd97d6a6da930841558ab79fd7200c8dc09"},"schema_version":"1.0","source":{"id":"cond-mat/0610582","kind":"arxiv","version":1}},"canonical_sha256":"a756c69b6cb8babed81167063ae5aef71cfcca36973caa4c8a9367a5a72e1a02","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a756c69b6cb8babed81167063ae5aef71cfcca36973caa4c8a9367a5a72e1a02","first_computed_at":"2026-05-18T01:39:40.617425Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:40.617425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rFBYz+vkGiqSIWTXM2s2v2uMDhhjUgvs6NdAVXG+7qd+4Fg39JINmYqMO397yrGAwkYV7bjJrIPNa8+LdQDOAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:40.618052Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0610582","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90f8fe1f9fad7fc136ddc9383ca79f05b9ff4252d5e19a784a96eeb98de13156","sha256:3f591f5fdf9021d31fc9540a1a65a1f156600200b69a6c5a7e034c203891a400"],"state_sha256":"4ed627ff6c9e9057cac042b8c6f187316a3295b7c440c18a719630ef32a43f00"}