{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:TGMIVFYPAIL2WOELVRAKTCL6ST","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":"526b33d6e426206ccc9a851204d08512fe6af11d1f50c2b21718bac580a4f84e","cross_cats_sorted":["physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-09-13T13:46:55Z","title_canon_sha256":"0ece5f92d47d0f9a0feff7a9bed116949b36bd1ed82cae0533b45da66ae2754d"},"schema_version":"1.0","source":{"id":"1209.2891","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.2891","created_at":"2026-05-18T01:54:29Z"},{"alias_kind":"arxiv_version","alias_value":"1209.2891v1","created_at":"2026-05-18T01:54:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.2891","created_at":"2026-05-18T01:54:29Z"},{"alias_kind":"pith_short_12","alias_value":"TGMIVFYPAIL2","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TGMIVFYPAIL2WOEL","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TGMIVFYP","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:0f674ae462753e19f927a46dfd560d978dddfd69a75ca12b5c675f0938e50915","target":"graph","created_at":"2026-05-18T01:54:29Z","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 explore a few-fermion mixture consisting of two components which are repulsively interacting and confined in a one-dimensional harmonic trap. Different scenarios of population imbalance ranging from the completely imbalanced case where the physics of a single impurity in the Fermi-sea is discussed to the partially imbalanced and equal population configurations are investigated. For the numerical calculations the multi-configurational time-dependent Hartree (MCTDH) method is employed, extending its application to few-fermion systems. Apart from numerical calculations we generalize our Ansatz","authors_text":"Ioannis Brouzos, Peter Schmelcher","cross_cats":["physics.atom-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-09-13T13:46:55Z","title":"Two-component few-fermion mixtures in a one-dimensional trap: numerical versus analytical approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.2891","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:c58fbeedb6bf6f37b67e3f5c6549446cf7204dc74606ef51e1d829c55be3dfbe","target":"record","created_at":"2026-05-18T01:54:29Z","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":"526b33d6e426206ccc9a851204d08512fe6af11d1f50c2b21718bac580a4f84e","cross_cats_sorted":["physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-09-13T13:46:55Z","title_canon_sha256":"0ece5f92d47d0f9a0feff7a9bed116949b36bd1ed82cae0533b45da66ae2754d"},"schema_version":"1.0","source":{"id":"1209.2891","kind":"arxiv","version":1}},"canonical_sha256":"99988a970f0217ab388bac40a9897e94ec2ab1757b0d43c20a3c0d9214b35f07","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99988a970f0217ab388bac40a9897e94ec2ab1757b0d43c20a3c0d9214b35f07","first_computed_at":"2026-05-18T01:54:29.526480Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:54:29.526480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b3x1IEhde1uUZc1U2+19J3xpv2dIL+LBf4tPoiqQ+cyvgm5c+12eT56kvqUMK5ku+Pbwd627ed5VkKBvVSw7AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:54:29.527051Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.2891","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c58fbeedb6bf6f37b67e3f5c6549446cf7204dc74606ef51e1d829c55be3dfbe","sha256:0f674ae462753e19f927a46dfd560d978dddfd69a75ca12b5c675f0938e50915"],"state_sha256":"cf716feed43b3ba2a3093b3194a55bd8cd073e5a7b5830e513267fce2f5dc930"}