{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XL5QQK52NASFO3U6GQBMNM6AHB","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":"ff713611899745a94e7b07636759a30f7ade2097bb59e993a47eb671dc21ff13","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-08-29T22:22:58Z","title_canon_sha256":"1f58b880b379c27a7291e7f52b2afbdfd813e9232424c2cfa4b7f113dbaa3b64"},"schema_version":"1.0","source":{"id":"1108.5770","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.5770","created_at":"2026-05-18T04:07:07Z"},{"alias_kind":"arxiv_version","alias_value":"1108.5770v2","created_at":"2026-05-18T04:07:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5770","created_at":"2026-05-18T04:07:07Z"},{"alias_kind":"pith_short_12","alias_value":"XL5QQK52NASF","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XL5QQK52NASFO3U6","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XL5QQK52","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:4f16a73d9799ca58db89292a14f29601071af247f4aa9decee5c9d753fe531e0","target":"graph","created_at":"2026-05-18T04:07:07Z","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 compare and contrast the mean-field and many-body properties of a Bose-Einstein condensate trapped in a double well potential with a single impurity atom. The mean-field solutions display a rich structure of bifurcations as parameters such as the boson-impurity interaction strength and the tilt between the two wells are varied. In particular, we study a pitchfork bifurcation in the lowest mean-field stationary solution which occurs when the boson-impurity interaction exceeds a critical magnitude. This bifurcation, which is present for both repulsive and attractive boson-impurity interaction","authors_text":"D.H.J. O'Dell, F. Mulansky, J. Mumford","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-08-29T22:22:58Z","title":"Impurity in a Bose-Einstein condensate in a double well"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5770","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:fb8902f37ded1b9ffcc56ef4d5955aa58851395a709218264338a134d55c57b2","target":"record","created_at":"2026-05-18T04:07:07Z","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":"ff713611899745a94e7b07636759a30f7ade2097bb59e993a47eb671dc21ff13","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-08-29T22:22:58Z","title_canon_sha256":"1f58b880b379c27a7291e7f52b2afbdfd813e9232424c2cfa4b7f113dbaa3b64"},"schema_version":"1.0","source":{"id":"1108.5770","kind":"arxiv","version":2}},"canonical_sha256":"bafb082bba6824576e9e3402c6b3c0384c0400b855440e25af4fb066c898e6a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bafb082bba6824576e9e3402c6b3c0384c0400b855440e25af4fb066c898e6a9","first_computed_at":"2026-05-18T04:07:07.711546Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:07.711546Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o34zYolfokqMJJvY8o5FxMBO7r9IaxT4A96W5qc+cADQq6fAhvN7V0ZggJph2h6FJyo7AnhZTn6uGieeQ5VvBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:07.712040Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.5770","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb8902f37ded1b9ffcc56ef4d5955aa58851395a709218264338a134d55c57b2","sha256:4f16a73d9799ca58db89292a14f29601071af247f4aa9decee5c9d753fe531e0"],"state_sha256":"c499acbdcc4d73c0e084daddc1f942a091d7ac9680391b407137926421202fd1"}