{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5WYA5PHUYNWCRIRDHDC7BEGATY","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":"e45ac354d0c32a140785370919cb987a3ed2ea639ae367a81219dacd21c9f011","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-05-30T08:01:49Z","title_canon_sha256":"8b6d42a41b189df7c85ad792bc06c414fdc1fd9cbcdf23fda70c6e89192296e2"},"schema_version":"1.0","source":{"id":"1705.10497","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.10497","created_at":"2026-05-18T00:36:31Z"},{"alias_kind":"arxiv_version","alias_value":"1705.10497v2","created_at":"2026-05-18T00:36:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10497","created_at":"2026-05-18T00:36:31Z"},{"alias_kind":"pith_short_12","alias_value":"5WYA5PHUYNWC","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"5WYA5PHUYNWCRIRD","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"5WYA5PHU","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:bf1b7e4bd2b650b332a5e6363fe02f0fb670bbe11350db4e23b88f5bf2c3e826","target":"graph","created_at":"2026-05-18T00:36:31Z","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":"Bose-Einstein condensates with balanced gain and loss can support stationary states despite the exchange of particles with the environment. In the mean-field approximation this is described by the PT-symmetric Gross-Pitaevskii equation with real eigenvalues. In this work we study the role of stationary states in the appropriate many-particle description. It is shown that without particle interaction there exist two non-oscillating trajectories which can be interpreted as the many-particle equivalent of the stationary PT-symmetric mean-field states. Furthermore the system has a non-equilibrium ","authors_text":"Daniel Haag, Dennis Dast, G\\\"unter Wunner, Holger Cartarius, J\\\"org Main","cross_cats":["cond-mat.quant-gas"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-05-30T08:01:49Z","title":"Stationary states in the many-particle description of Bose-Einstein condensates with balanced gain and loss"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10497","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":"sha256:9b274d54b8bdd98d6da6ea3405ab1c8b7ce002df7ef7b3d20d931f08ed88cf7c","target":"record","created_at":"2026-05-18T00:36:31Z","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":"e45ac354d0c32a140785370919cb987a3ed2ea639ae367a81219dacd21c9f011","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-05-30T08:01:49Z","title_canon_sha256":"8b6d42a41b189df7c85ad792bc06c414fdc1fd9cbcdf23fda70c6e89192296e2"},"schema_version":"1.0","source":{"id":"1705.10497","kind":"arxiv","version":2}},"canonical_sha256":"edb00ebcf4c36c28a22338c5f090c09e2803ad7f28055ae25600ee9baedcfe92","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"edb00ebcf4c36c28a22338c5f090c09e2803ad7f28055ae25600ee9baedcfe92","first_computed_at":"2026-05-18T00:36:31.434947Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:31.434947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EyHPL8uwA+CTEI/NdF/rskPs8nw9Da7hlz7tfYyHBRpbWOGiOzpGt8a1tWWoxCyFrbGW/LdK4s/hjUWjSZyyAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:31.435467Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.10497","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b274d54b8bdd98d6da6ea3405ab1c8b7ce002df7ef7b3d20d931f08ed88cf7c","sha256:bf1b7e4bd2b650b332a5e6363fe02f0fb670bbe11350db4e23b88f5bf2c3e826"],"state_sha256":"eb2a20f36fe78ba8082c97e26e1e4342810abec000b7b1526627aec649dffe4f"}