{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:K475HLDDFBFZLKEAJY2BQ5OF2P","short_pith_number":"pith:K475HLDD","canonical_record":{"source":{"id":"1305.2316","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math-ph","submitted_at":"2013-05-10T11:38:06Z","cross_cats_sorted":["cond-mat.quant-gas","math.MP","quant-ph"],"title_canon_sha256":"d119becdf951d0aec70cffabc1b1f3200cc630fd83290a0ae8235fb2fc71f83a","abstract_canon_sha256":"7523f02b3dffcf7f54693cbd0567b4aea7a7987fcd9b85773a4a8b475a6451a4"},"schema_version":"1.0"},"canonical_sha256":"573fd3ac63284b95a8804e341875c5d3e012ca8746e5213ff200b8e4eb251042","source":{"kind":"arxiv","id":"1305.2316","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2316","created_at":"2026-05-18T01:50:03Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2316v1","created_at":"2026-05-18T01:50:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2316","created_at":"2026-05-18T01:50:03Z"},{"alias_kind":"pith_short_12","alias_value":"K475HLDDFBFZ","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"K475HLDDFBFZLKEA","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"K475HLDD","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:K475HLDDFBFZLKEAJY2BQ5OF2P","target":"record","payload":{"canonical_record":{"source":{"id":"1305.2316","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math-ph","submitted_at":"2013-05-10T11:38:06Z","cross_cats_sorted":["cond-mat.quant-gas","math.MP","quant-ph"],"title_canon_sha256":"d119becdf951d0aec70cffabc1b1f3200cc630fd83290a0ae8235fb2fc71f83a","abstract_canon_sha256":"7523f02b3dffcf7f54693cbd0567b4aea7a7987fcd9b85773a4a8b475a6451a4"},"schema_version":"1.0"},"canonical_sha256":"573fd3ac63284b95a8804e341875c5d3e012ca8746e5213ff200b8e4eb251042","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:03.743368Z","signature_b64":"Vca3VzTLUcb73nMXJXqqg7To9x03M16hAs/lAZzCqaRntcXG0494MYlD2e4hgyKJ1uH7AyZ1wKmdIoL0YD7oCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"573fd3ac63284b95a8804e341875c5d3e012ca8746e5213ff200b8e4eb251042","last_reissued_at":"2026-05-18T01:50:03.742825Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:03.742825Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.2316","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:50:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WQG8/CduRQy9oLDAxpLBUuiMdeE7UgVZKI43ENOF6cGXxfmiRK0ix/CQPdoCf+xBC190cjNCXR5d2Br8aejdCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:34:17.609427Z"},"content_sha256":"cc9327ee5283627fce867152acecca917e0827090758d1e42e3e1f0cec5e4ef8","schema_version":"1.0","event_id":"sha256:cc9327ee5283627fce867152acecca917e0827090758d1e42e3e1f0cec5e4ef8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:K475HLDDFBFZLKEAJY2BQ5OF2P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bound states of the spin-orbit coupled ultracold atom in a one-dimensional short-range potential","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["cond-mat.quant-gas","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Julius Ruseckas, Rytis Jursenas","submitted_at":"2013-05-10T11:38:06Z","abstract_excerpt":"We solve the bound state problem for the Hamiltonian with the spin-orbit and the Raman coupling included. The Hamiltonian is perturbed by a one-dimensional short-range potential V which describes the impurity scattering. In addition to the bound states obtained by considering weak solutions through the Fourier transform or by solving the eigenvalue equation on a suitable domain directly, it is shown that ordinary point-interaction representations of V lead to spin-orbit induced extra states."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2316","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:50:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hGl3teXTedOgXLAlABzthE+51f88V7O9I1PuCQvTGob/angUNvcHbOHXeEQxmOGqVc9zhDmzo/dpE9U+b+jeCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:34:17.609826Z"},"content_sha256":"76a23cf03c2c45b0e3427482edbb029164177ad01100747331f55bc42d106a46","schema_version":"1.0","event_id":"sha256:76a23cf03c2c45b0e3427482edbb029164177ad01100747331f55bc42d106a46"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K475HLDDFBFZLKEAJY2BQ5OF2P/bundle.json","state_url":"https://pith.science/pith/K475HLDDFBFZLKEAJY2BQ5OF2P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K475HLDDFBFZLKEAJY2BQ5OF2P/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T11:34:17Z","links":{"resolver":"https://pith.science/pith/K475HLDDFBFZLKEAJY2BQ5OF2P","bundle":"https://pith.science/pith/K475HLDDFBFZLKEAJY2BQ5OF2P/bundle.json","state":"https://pith.science/pith/K475HLDDFBFZLKEAJY2BQ5OF2P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K475HLDDFBFZLKEAJY2BQ5OF2P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:K475HLDDFBFZLKEAJY2BQ5OF2P","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":"7523f02b3dffcf7f54693cbd0567b4aea7a7987fcd9b85773a4a8b475a6451a4","cross_cats_sorted":["cond-mat.quant-gas","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math-ph","submitted_at":"2013-05-10T11:38:06Z","title_canon_sha256":"d119becdf951d0aec70cffabc1b1f3200cc630fd83290a0ae8235fb2fc71f83a"},"schema_version":"1.0","source":{"id":"1305.2316","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2316","created_at":"2026-05-18T01:50:03Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2316v1","created_at":"2026-05-18T01:50:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2316","created_at":"2026-05-18T01:50:03Z"},{"alias_kind":"pith_short_12","alias_value":"K475HLDDFBFZ","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"K475HLDDFBFZLKEA","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"K475HLDD","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:76a23cf03c2c45b0e3427482edbb029164177ad01100747331f55bc42d106a46","target":"graph","created_at":"2026-05-18T01:50:03Z","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 solve the bound state problem for the Hamiltonian with the spin-orbit and the Raman coupling included. The Hamiltonian is perturbed by a one-dimensional short-range potential V which describes the impurity scattering. In addition to the bound states obtained by considering weak solutions through the Fourier transform or by solving the eigenvalue equation on a suitable domain directly, it is shown that ordinary point-interaction representations of V lead to spin-orbit induced extra states.","authors_text":"Julius Ruseckas, Rytis Jursenas","cross_cats":["cond-mat.quant-gas","math.MP","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math-ph","submitted_at":"2013-05-10T11:38:06Z","title":"Bound states of the spin-orbit coupled ultracold atom in a one-dimensional short-range potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2316","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:cc9327ee5283627fce867152acecca917e0827090758d1e42e3e1f0cec5e4ef8","target":"record","created_at":"2026-05-18T01:50:03Z","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":"7523f02b3dffcf7f54693cbd0567b4aea7a7987fcd9b85773a4a8b475a6451a4","cross_cats_sorted":["cond-mat.quant-gas","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math-ph","submitted_at":"2013-05-10T11:38:06Z","title_canon_sha256":"d119becdf951d0aec70cffabc1b1f3200cc630fd83290a0ae8235fb2fc71f83a"},"schema_version":"1.0","source":{"id":"1305.2316","kind":"arxiv","version":1}},"canonical_sha256":"573fd3ac63284b95a8804e341875c5d3e012ca8746e5213ff200b8e4eb251042","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"573fd3ac63284b95a8804e341875c5d3e012ca8746e5213ff200b8e4eb251042","first_computed_at":"2026-05-18T01:50:03.742825Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:50:03.742825Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vca3VzTLUcb73nMXJXqqg7To9x03M16hAs/lAZzCqaRntcXG0494MYlD2e4hgyKJ1uH7AyZ1wKmdIoL0YD7oCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:50:03.743368Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.2316","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc9327ee5283627fce867152acecca917e0827090758d1e42e3e1f0cec5e4ef8","sha256:76a23cf03c2c45b0e3427482edbb029164177ad01100747331f55bc42d106a46"],"state_sha256":"e0fa6a537fe97889ca2aae7e9b8ff30d90af9797f0b193081ef77e5231c5aaaf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wf+wJtmH3UBxXGlffg00mPQHLxNcM61vXzATuTtW81JmgGmO+3fk/hUAGzBete18TDhcCH1zAsq1BBM2S7RCCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T11:34:17.611931Z","bundle_sha256":"e92b74351826ae88e9ceaf806c99e17c51d91ed26e88890fd272af25c6975759"}}