{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:SS4KJYYP6JRIXW4KSFN7WETICM","short_pith_number":"pith:SS4KJYYP","schema_version":"1.0","canonical_sha256":"94b8a4e30ff2628bdb8a915bfb1268132dc3588c971d5a59329741006a5a1cc1","source":{"kind":"arxiv","id":"1208.5976","version":4},"attestation_state":"computed","paper":{"title":"Modified Bethe-Peierls boundary condition for ultracold atoms with Spin-Orbit coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.atom-ph","quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Long Zhang, Peng Zhang, Youjin Deng","submitted_at":"2012-08-29T17:52:13Z","abstract_excerpt":"We show that the Bethe-Peierls (BP) boundary condition should be modified for ultracold atoms with spin-orbit (SO) coupling. Moreover, we derive a general form of the modified BP boundary condition, which is applicable to a system with arbitrary kind of SO coupling. In the modified BP condition, an anisotropic term appears and the inter-atomic scattering length is normally SO-coupling dependent. For the special system in the current experiments, however, it can be proved that the scattering length is SO-coupling independent, and takes the same value as in the case without SO coupling. Our resu"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1208.5976","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-08-29T17:52:13Z","cross_cats_sorted":["physics.atom-ph","quant-ph"],"title_canon_sha256":"08a74906702138452218d91a7059921d6ea040f931993c55abc9aa4e3a0ec233","abstract_canon_sha256":"c70b2a83d4da7b9231d6043364621940c3fa579846dd9d60904f97cbba88cc90"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:39:41.458999Z","signature_b64":"JDzFOKy+sm7NR4O3bcGcp6naQd0Mlw/gE1RE2rBhHLngc1HPj4WUIy7bQHfx0f+u77DPnaXVYyAnQQfiuxU3DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94b8a4e30ff2628bdb8a915bfb1268132dc3588c971d5a59329741006a5a1cc1","last_reissued_at":"2026-05-18T03:39:41.457993Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:39:41.457993Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modified Bethe-Peierls boundary condition for ultracold atoms with Spin-Orbit coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.atom-ph","quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Long Zhang, Peng Zhang, Youjin Deng","submitted_at":"2012-08-29T17:52:13Z","abstract_excerpt":"We show that the Bethe-Peierls (BP) boundary condition should be modified for ultracold atoms with spin-orbit (SO) coupling. Moreover, we derive a general form of the modified BP boundary condition, which is applicable to a system with arbitrary kind of SO coupling. In the modified BP condition, an anisotropic term appears and the inter-atomic scattering length is normally SO-coupling dependent. For the special system in the current experiments, however, it can be proved that the scattering length is SO-coupling independent, and takes the same value as in the case without SO coupling. Our resu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.5976","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1208.5976","created_at":"2026-05-18T03:39:41.458153+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.5976v4","created_at":"2026-05-18T03:39:41.458153+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.5976","created_at":"2026-05-18T03:39:41.458153+00:00"},{"alias_kind":"pith_short_12","alias_value":"SS4KJYYP6JRI","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"SS4KJYYP6JRIXW4K","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"SS4KJYYP","created_at":"2026-05-18T12:27:20.899486+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SS4KJYYP6JRIXW4KSFN7WETICM","json":"https://pith.science/pith/SS4KJYYP6JRIXW4KSFN7WETICM.json","graph_json":"https://pith.science/api/pith-number/SS4KJYYP6JRIXW4KSFN7WETICM/graph.json","events_json":"https://pith.science/api/pith-number/SS4KJYYP6JRIXW4KSFN7WETICM/events.json","paper":"https://pith.science/paper/SS4KJYYP"},"agent_actions":{"view_html":"https://pith.science/pith/SS4KJYYP6JRIXW4KSFN7WETICM","download_json":"https://pith.science/pith/SS4KJYYP6JRIXW4KSFN7WETICM.json","view_paper":"https://pith.science/paper/SS4KJYYP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.5976&json=true","fetch_graph":"https://pith.science/api/pith-number/SS4KJYYP6JRIXW4KSFN7WETICM/graph.json","fetch_events":"https://pith.science/api/pith-number/SS4KJYYP6JRIXW4KSFN7WETICM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SS4KJYYP6JRIXW4KSFN7WETICM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SS4KJYYP6JRIXW4KSFN7WETICM/action/storage_attestation","attest_author":"https://pith.science/pith/SS4KJYYP6JRIXW4KSFN7WETICM/action/author_attestation","sign_citation":"https://pith.science/pith/SS4KJYYP6JRIXW4KSFN7WETICM/action/citation_signature","submit_replication":"https://pith.science/pith/SS4KJYYP6JRIXW4KSFN7WETICM/action/replication_record"}},"created_at":"2026-05-18T03:39:41.458153+00:00","updated_at":"2026-05-18T03:39:41.458153+00:00"}