{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UBUVLWFS4FS4GD2CZYPRIXZP7Y","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":"bfa806a580521df683584b93721bb96f5533df759f15ccc03be7025ccc5929ac","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-11-27T07:02:29Z","title_canon_sha256":"cba4a612805f8fb5ed3a7fb564e95f5b5e6e3bba2315cfc03e121ecfbb3dcd6a"},"schema_version":"1.0","source":{"id":"1211.6221","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.6221","created_at":"2026-05-18T03:30:41Z"},{"alias_kind":"arxiv_version","alias_value":"1211.6221v2","created_at":"2026-05-18T03:30:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6221","created_at":"2026-05-18T03:30:41Z"},{"alias_kind":"pith_short_12","alias_value":"UBUVLWFS4FS4","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UBUVLWFS4FS4GD2C","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UBUVLWFS","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:f0f91af89ee8d47752c22b113bd139b26d185f312bb96bdac6366c7073114b7c","target":"graph","created_at":"2026-05-18T03:30:41Z","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 consider spin-half fermionic atoms with isotropic Rashba spin-orbit coupling in three directions. The interatomic potential is modeled by a square well potential. We derive the analytic form of the asymptotic wave-functions at short range of two fermions in the subspace of zero net momentum and zero total angular momentum. We show that the spin-orbit coupling has perturbative effects on the short range asymptotic behavior of the wave-functions away from resonances. We argue that our conclusion should hold generally.","authors_text":"Yuxiao Wu, Zhenhua Yu","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-11-27T07:02:29Z","title":"Short range asymptotic behavior of the wave-functions of interacting spin-half fermionic atoms with spin-orbit coupling: a model study"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6221","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":"sha256:9948338f75f0b5d6f83e79a950c639bc83a17e8e99388e5ef90311719f6a3147","target":"record","created_at":"2026-05-18T03:30:41Z","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":"bfa806a580521df683584b93721bb96f5533df759f15ccc03be7025ccc5929ac","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-11-27T07:02:29Z","title_canon_sha256":"cba4a612805f8fb5ed3a7fb564e95f5b5e6e3bba2315cfc03e121ecfbb3dcd6a"},"schema_version":"1.0","source":{"id":"1211.6221","kind":"arxiv","version":2}},"canonical_sha256":"a06955d8b2e165c30f42ce1f145f2ffe278398e0d0d02a90ad5c32a322ea99f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a06955d8b2e165c30f42ce1f145f2ffe278398e0d0d02a90ad5c32a322ea99f7","first_computed_at":"2026-05-18T03:30:41.351149Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:41.351149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EiVVo8diWV/+Y8XiboWqk78yza0qk7qK8gOaTkNMOQaVF1GtDIw/z5XQcp45WF6U0vLUq+L+SDBkYtZorzggCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:41.352995Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.6221","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9948338f75f0b5d6f83e79a950c639bc83a17e8e99388e5ef90311719f6a3147","sha256:f0f91af89ee8d47752c22b113bd139b26d185f312bb96bdac6366c7073114b7c"],"state_sha256":"6c5c141711109bdb5db9c14ef6890fb80f27fee4b748b3087c75c3309ea3e2f4"}