{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:XSRR5MAM2KSI4SWKHFLLI3U5VJ","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":"a9f40709ac42d8f27d61f153e1d240d1836c3e7227fbcb804ad7c8855dfaffc6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-01-03T18:04:08Z","title_canon_sha256":"fda97dbd5e633e62d5d79da63d627c78beeb5660a2697fef45f5f4dbdfcd8582"},"schema_version":"1.0","source":{"id":"1201.0714","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0714","created_at":"2026-05-18T03:29:27Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0714v2","created_at":"2026-05-18T03:29:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0714","created_at":"2026-05-18T03:29:27Z"},{"alias_kind":"pith_short_12","alias_value":"XSRR5MAM2KSI","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XSRR5MAM2KSI4SWK","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XSRR5MAM","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:b92a9c7f7202107732e9cd0b3aac5b736fc37b6dac81b6d397e6590e69a40858","target":"graph","created_at":"2026-05-18T03:29:27Z","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":"Linear response of simple (i.e., condensed) Bose-Einstein condensates is known to lead to the Bogoliubov- de Gennes equations. Here, we derive linear response for fragmented Bose-Einstein condensates, i.e., for the case where the many-body wave function is not a product of one, but of several single-particle states (orbitals). Our approach is based on the number-conserving variational time-dependent mean field theory [O. E. Alon, A. I. Streltsov, and L. S. Cederbaum, Phys. Lett. A 362, 453 (2007)], which describes the time evolution of best-mean field states. Correspondingly, we call our linea","authors_text":"Alexej I. Streltsov, Julian Grond, Lorenz S. Cederbaum, Ofir E. Alon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-01-03T18:04:08Z","title":"Excitation spectra of fragmented condensates by linear response: General theory and application to a condensate in a double-well potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0714","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":"sha256:3be95f5dfbe8e4c6b498faed93e53d5bd5ad91eebd029d12c472e6eda29c8162","target":"record","created_at":"2026-05-18T03:29:27Z","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":"a9f40709ac42d8f27d61f153e1d240d1836c3e7227fbcb804ad7c8855dfaffc6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-01-03T18:04:08Z","title_canon_sha256":"fda97dbd5e633e62d5d79da63d627c78beeb5660a2697fef45f5f4dbdfcd8582"},"schema_version":"1.0","source":{"id":"1201.0714","kind":"arxiv","version":2}},"canonical_sha256":"bca31eb00cd2a48e4aca3956b46e9daa506eaa1ad48f4b975597e4846e14e11b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bca31eb00cd2a48e4aca3956b46e9daa506eaa1ad48f4b975597e4846e14e11b","first_computed_at":"2026-05-18T03:29:27.778641Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:27.778641Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VTL7XQamOOc+N3usIWE4K7keXNhxiD4LqE7G5D+Tu1xECFU4+6hQEdj/95AX2U1GKEZSymtmC9AULV0TOPtvDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:27.779439Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.0714","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3be95f5dfbe8e4c6b498faed93e53d5bd5ad91eebd029d12c472e6eda29c8162","sha256:b92a9c7f7202107732e9cd0b3aac5b736fc37b6dac81b6d397e6590e69a40858"],"state_sha256":"c87bcfa86167ecd0450d476f2ebab4510ac09797ca337c968eeec24597aa840c"}