{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:3P7VQWBF2FKPHSTDILEI3VBJIA","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":"d2be90ecd3971646ddea7f079f35d6af1ca56bbc110530c12ee9efff4d008f94","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.other","submitted_at":"2006-05-15T09:49:58Z","title_canon_sha256":"72b435bfa2019dee47db596665f5e02b8a3646d6436a7c2970cb882310f8b646"},"schema_version":"1.0","source":{"id":"cond-mat/0605374","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0605374","created_at":"2026-05-18T01:08:55Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0605374v1","created_at":"2026-05-18T01:08:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0605374","created_at":"2026-05-18T01:08:55Z"},{"alias_kind":"pith_short_12","alias_value":"3P7VQWBF2FKP","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"3P7VQWBF2FKPHSTD","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"3P7VQWBF","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:dcaca2b5bada1d746095c941d57584cf34df4735dd1e7d8a2da7c27855a42431","target":"graph","created_at":"2026-05-18T01:08:55Z","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":"In this paper we treat the behavior of Bose Einstein condensates in double square well potentials, both of equal and different depths. For even depth, symmetry preserving solutions to the relevant nonlinear Schr\\\"{o}dinger equation is known, just as in the linear limit. When the nonlinearity is strong enough, symmetry breaking solutions also exist, side by side with the symmetric one. Interestingly, solutions almost entirely localized in one of the wells are known as an extreme case. Here we outline a method for obtaining all these solutions for repulsive interactions. The bifurcation point at","authors_text":"E. Infeld, J. Goca{\\l}ek, M. Trippenbach, P. Zi\\'n","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.other","submitted_at":"2006-05-15T09:49:58Z","title":"Statics and dynamics of BEC's in double square well potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0605374","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":"sha256:1f5260f56f19761115577510ed64471c7157a31673f3cd5c8abb3f7ea6598f6e","target":"record","created_at":"2026-05-18T01:08:55Z","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":"d2be90ecd3971646ddea7f079f35d6af1ca56bbc110530c12ee9efff4d008f94","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.other","submitted_at":"2006-05-15T09:49:58Z","title_canon_sha256":"72b435bfa2019dee47db596665f5e02b8a3646d6436a7c2970cb882310f8b646"},"schema_version":"1.0","source":{"id":"cond-mat/0605374","kind":"arxiv","version":1}},"canonical_sha256":"dbff585825d154f3ca6342c88dd429403b773ca2ba25840c44730bd2b2b5b299","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbff585825d154f3ca6342c88dd429403b773ca2ba25840c44730bd2b2b5b299","first_computed_at":"2026-05-18T01:08:55.855901Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:55.855901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8CQbl6G8PuDcA/EH6bHdVNnv1CI/sAgPIiAi1vxW9NogMshvSwx0Yjc8zHHqWMoiy1sKfYsdrp9tM9OjcawDBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:55.856544Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0605374","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f5260f56f19761115577510ed64471c7157a31673f3cd5c8abb3f7ea6598f6e","sha256:dcaca2b5bada1d746095c941d57584cf34df4735dd1e7d8a2da7c27855a42431"],"state_sha256":"8021c25dd91b96509e1124becc25927a0e81c7cccc1a6a7fc96ea18f3027e13a"}