{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:WV3OJQCMNEXQLLF67NHFVLVLXR","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":"493d70d3811b798f479bd9a2db85acfd6d666b605814e4c35776ac520fd36510","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-09-26T11:37:10Z","title_canon_sha256":"0cbdf3b06d6dcacbfd4b013dc68f949b8e4c8abf79fb51147f6f3414a55574f9"},"schema_version":"1.0","source":{"id":"1009.5083","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.5083","created_at":"2026-05-18T02:05:17Z"},{"alias_kind":"arxiv_version","alias_value":"1009.5083v1","created_at":"2026-05-18T02:05:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.5083","created_at":"2026-05-18T02:05:17Z"},{"alias_kind":"pith_short_12","alias_value":"WV3OJQCMNEXQ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"WV3OJQCMNEXQLLF6","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"WV3OJQCM","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:ca28d5a77e924367857e0a7582daab65653725490faeb07a573a73ca24a43358","target":"graph","created_at":"2026-05-18T02:05:17Z","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":"The approximated energy eigenvalues and the corresponding eigenfunctions of the spherical Woods-Saxon effective potential in $D$ dimensions are obtained within the new improved quantization rule for all $l$-states. The Pekeris approximation is used to deal with the centrifugal term in the effective Woods-Saxon potential. The inter-dimensional degeneracies for various orbital quantum number $l$ and dimensional space $D$ are studied. The solutions for the Hulth\\'{e}n potential, the three-dimensional (D=3), the $% s$-wave ($l=0$) and the cases are briefly discussed.","authors_text":"Ramazan Sever, Sameer M/ Ikhdair","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-09-26T11:37:10Z","title":"Any l-state solutions of the Woods-Saxon potential in arbitrary dimensions within the new improved quantization rule"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5083","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":"sha256:0a76a96ab3c2226e6dae24c0d73ec620affe2e87e585125318ea6cfcce1a08e9","target":"record","created_at":"2026-05-18T02:05:17Z","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":"493d70d3811b798f479bd9a2db85acfd6d666b605814e4c35776ac520fd36510","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-09-26T11:37:10Z","title_canon_sha256":"0cbdf3b06d6dcacbfd4b013dc68f949b8e4c8abf79fb51147f6f3414a55574f9"},"schema_version":"1.0","source":{"id":"1009.5083","kind":"arxiv","version":1}},"canonical_sha256":"b576e4c04c692f05acbefb4e5aaeabbc4a0b7a5c0c5a36ffb1f4f72116405c06","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b576e4c04c692f05acbefb4e5aaeabbc4a0b7a5c0c5a36ffb1f4f72116405c06","first_computed_at":"2026-05-18T02:05:17.193896Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:17.193896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P+aC0X8UFZmCYZM4XeIoRk8Z3jeye8It6Z/YCezf3avfpLSgUdfGoxi+qyd7MLIaCHUTJGF35WrG4sh1qLuRAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:17.194520Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.5083","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a76a96ab3c2226e6dae24c0d73ec620affe2e87e585125318ea6cfcce1a08e9","sha256:ca28d5a77e924367857e0a7582daab65653725490faeb07a573a73ca24a43358"],"state_sha256":"688ff0149994545e76abbe6597ea7e24739a1df278b7546785068561e9f4164d"}