{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:YJIHJ7234RVYWDE5MDIXCAD7BV","short_pith_number":"pith:YJIHJ723","canonical_record":{"source":{"id":"1203.6769","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2012-03-30T11:23:54Z","cross_cats_sorted":[],"title_canon_sha256":"b6ccb0b5e257811f4ffd604169c0f64206d058c8a8c89f61c5eef91dff8e5fdf","abstract_canon_sha256":"fa15c0a5ae16dacc7ca3f4cdfdc00e1fdc1d9caca3a7cb8c464d65c0ab91bf07"},"schema_version":"1.0"},"canonical_sha256":"c25074ff5be46b8b0c9d60d171007f0d5387f48c19520142633c61cca1a9c29a","source":{"kind":"arxiv","id":"1203.6769","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6769","created_at":"2026-05-18T03:59:00Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6769v1","created_at":"2026-05-18T03:59:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6769","created_at":"2026-05-18T03:59:00Z"},{"alias_kind":"pith_short_12","alias_value":"YJIHJ7234RVY","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YJIHJ7234RVYWDE5","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YJIHJ723","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:YJIHJ7234RVYWDE5MDIXCAD7BV","target":"record","payload":{"canonical_record":{"source":{"id":"1203.6769","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2012-03-30T11:23:54Z","cross_cats_sorted":[],"title_canon_sha256":"b6ccb0b5e257811f4ffd604169c0f64206d058c8a8c89f61c5eef91dff8e5fdf","abstract_canon_sha256":"fa15c0a5ae16dacc7ca3f4cdfdc00e1fdc1d9caca3a7cb8c464d65c0ab91bf07"},"schema_version":"1.0"},"canonical_sha256":"c25074ff5be46b8b0c9d60d171007f0d5387f48c19520142633c61cca1a9c29a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:00.676960Z","signature_b64":"Ha4EULsAgid7Fsn0SP4UzXW74X0M2AWa0sQo7hPsjQm4VcUP/g6ySsohPSY05sDxyeuwIq4CX5L4KmwF4LiOBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c25074ff5be46b8b0c9d60d171007f0d5387f48c19520142633c61cca1a9c29a","last_reissued_at":"2026-05-18T03:59:00.676484Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:00.676484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.6769","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":"2026-05-18T03:59:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RuvYrQhKKFr8P2SfrwFIfSanyxPWXd1olfhN9eUgww9FkTop4QdFIKAglxBQ/Bgh0002LCuHz8Frlpgn5PyzDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T08:28:23.759261Z"},"content_sha256":"19d6fcfbcb2858d4b0a87fb1dc359bfe89b0d3dc03d635390f53e97b9289dfd0","schema_version":"1.0","event_id":"sha256:19d6fcfbcb2858d4b0a87fb1dc359bfe89b0d3dc03d635390f53e97b9289dfd0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:YJIHJ7234RVYWDE5MDIXCAD7BV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Approximate spin and pseudospin solutions of the Dirac equation for the inversely quadratic Yukawa potential and tensor interaction","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"B. I. Ita, Majid Hamzavi, Sameer M. Ikhdair","submitted_at":"2012-03-30T11:23:54Z","abstract_excerpt":"We approximately solve the Dirac equation for the inversely quadratic Yukawa (IQY) potential including a Coulomb-like tensor potential with arbitrary spin-orbit coupling quantum number . In the framework of the spin and pseudospin (pspin) symmetry, we obtain the energy eigenvalue equation and the corresponding eigenfunctions in closed form by using the Nikiforov-Uvarov method. The numerical results show that the Coulomb-like tensor interaction removes degeneracies between spin and pspin state doublets."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6769","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":"2026-05-18T03:59:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"seN0c35Rfn7RfqH301Wjhp2k7ZeiY0dMvvUwW3VouzVX1wUfQ22upT43MyHBFkc9vdmD+vQwuqAuJvR+BzfuCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T08:28:23.759637Z"},"content_sha256":"44429bce195e02269b6f926f4a819b60b39de6a9250d4afcacf27fce7bd376e1","schema_version":"1.0","event_id":"sha256:44429bce195e02269b6f926f4a819b60b39de6a9250d4afcacf27fce7bd376e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YJIHJ7234RVYWDE5MDIXCAD7BV/bundle.json","state_url":"https://pith.science/pith/YJIHJ7234RVYWDE5MDIXCAD7BV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YJIHJ7234RVYWDE5MDIXCAD7BV/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":"2026-07-01T08:28:23Z","links":{"resolver":"https://pith.science/pith/YJIHJ7234RVYWDE5MDIXCAD7BV","bundle":"https://pith.science/pith/YJIHJ7234RVYWDE5MDIXCAD7BV/bundle.json","state":"https://pith.science/pith/YJIHJ7234RVYWDE5MDIXCAD7BV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YJIHJ7234RVYWDE5MDIXCAD7BV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YJIHJ7234RVYWDE5MDIXCAD7BV","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":"fa15c0a5ae16dacc7ca3f4cdfdc00e1fdc1d9caca3a7cb8c464d65c0ab91bf07","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2012-03-30T11:23:54Z","title_canon_sha256":"b6ccb0b5e257811f4ffd604169c0f64206d058c8a8c89f61c5eef91dff8e5fdf"},"schema_version":"1.0","source":{"id":"1203.6769","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6769","created_at":"2026-05-18T03:59:00Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6769v1","created_at":"2026-05-18T03:59:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6769","created_at":"2026-05-18T03:59:00Z"},{"alias_kind":"pith_short_12","alias_value":"YJIHJ7234RVY","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YJIHJ7234RVYWDE5","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YJIHJ723","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:44429bce195e02269b6f926f4a819b60b39de6a9250d4afcacf27fce7bd376e1","target":"graph","created_at":"2026-05-18T03:59:00Z","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 approximately solve the Dirac equation for the inversely quadratic Yukawa (IQY) potential including a Coulomb-like tensor potential with arbitrary spin-orbit coupling quantum number . In the framework of the spin and pseudospin (pspin) symmetry, we obtain the energy eigenvalue equation and the corresponding eigenfunctions in closed form by using the Nikiforov-Uvarov method. The numerical results show that the Coulomb-like tensor interaction removes degeneracies between spin and pspin state doublets.","authors_text":"B. I. Ita, Majid Hamzavi, Sameer M. Ikhdair","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2012-03-30T11:23:54Z","title":"Approximate spin and pseudospin solutions of the Dirac equation for the inversely quadratic Yukawa potential and tensor interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6769","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":"sha256:19d6fcfbcb2858d4b0a87fb1dc359bfe89b0d3dc03d635390f53e97b9289dfd0","target":"record","created_at":"2026-05-18T03:59:00Z","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":"fa15c0a5ae16dacc7ca3f4cdfdc00e1fdc1d9caca3a7cb8c464d65c0ab91bf07","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2012-03-30T11:23:54Z","title_canon_sha256":"b6ccb0b5e257811f4ffd604169c0f64206d058c8a8c89f61c5eef91dff8e5fdf"},"schema_version":"1.0","source":{"id":"1203.6769","kind":"arxiv","version":1}},"canonical_sha256":"c25074ff5be46b8b0c9d60d171007f0d5387f48c19520142633c61cca1a9c29a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c25074ff5be46b8b0c9d60d171007f0d5387f48c19520142633c61cca1a9c29a","first_computed_at":"2026-05-18T03:59:00.676484Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:00.676484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ha4EULsAgid7Fsn0SP4UzXW74X0M2AWa0sQo7hPsjQm4VcUP/g6ySsohPSY05sDxyeuwIq4CX5L4KmwF4LiOBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:00.676960Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.6769","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19d6fcfbcb2858d4b0a87fb1dc359bfe89b0d3dc03d635390f53e97b9289dfd0","sha256:44429bce195e02269b6f926f4a819b60b39de6a9250d4afcacf27fce7bd376e1"],"state_sha256":"8b9aa5a05d9e935acb02f64d124851b77e6d9da3d59b3982d6d15c57d1971bbb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ETnFizRnNt1WEt7upkeL6PwkuPsT90nN/wMdAsbvDAgVt863JZCMcRphVIdDaJSecoSWOyJGQcN6I+P5YzWaDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T08:28:23.761723Z","bundle_sha256":"be6014ddd0d537653b9295c10f8544e3ea6796bf89b7233d491e95d9e9ce8c89"}}