{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:TYU3LCHGG55URI6T6N6K65ADXP","short_pith_number":"pith:TYU3LCHG","schema_version":"1.0","canonical_sha256":"9e29b588e6377b48a3d3f37caf7403bbc5f4a84f5983ff874bfbe5d480fe1825","source":{"kind":"arxiv","id":"1207.0681","version":1},"attestation_state":"computed","paper":{"title":"Spinless particles with unequal Scalar-Vector Yukawa interactions","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Majid Hamzavi, Sameer M. Ikhdair","submitted_at":"2012-07-03T13:56:07Z","abstract_excerpt":"We present analytical solutions of the spin-zero Klein-Gordon (KG) bosons in the field of unequal mixture of scalar and vector Yukawa potential within the framework of the approximation to the centrifugal potential term for any arbitrary -state. The explicit forms of the energy bound states including energy spectra and unnormalized wave functions are obtained using a simple shortcut of the Nikiforov-Uvarov (NU) method. Our numerical tests using energy calculations demonstrate the existence of inter dimensional degeneracy amongst energy states of the present quantum system consisting of the KG-"},"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":"1207.0681","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"quant-ph","submitted_at":"2012-07-03T13:56:07Z","cross_cats_sorted":[],"title_canon_sha256":"b2083e0e2dcb118b40c8dc090004fef22ef21255d37058ae80e807ab2baaeefa","abstract_canon_sha256":"65ba0057555a8b68e2115a25883d5de04b4e94af53afcfbdd225328da2c2708c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:51:57.502798Z","signature_b64":"F8TVKlxTGeXRYz+LoBY5BsBqjgfKdQVUGm0b8UYCtG8bVmREcVAI/vCiDMRI3okPP+u4RdKXOylfbnyT7H37DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e29b588e6377b48a3d3f37caf7403bbc5f4a84f5983ff874bfbe5d480fe1825","last_reissued_at":"2026-05-18T03:51:57.502236Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:51:57.502236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spinless particles with unequal Scalar-Vector Yukawa interactions","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Majid Hamzavi, Sameer M. Ikhdair","submitted_at":"2012-07-03T13:56:07Z","abstract_excerpt":"We present analytical solutions of the spin-zero Klein-Gordon (KG) bosons in the field of unequal mixture of scalar and vector Yukawa potential within the framework of the approximation to the centrifugal potential term for any arbitrary -state. The explicit forms of the energy bound states including energy spectra and unnormalized wave functions are obtained using a simple shortcut of the Nikiforov-Uvarov (NU) method. Our numerical tests using energy calculations demonstrate the existence of inter dimensional degeneracy amongst energy states of the present quantum system consisting of the KG-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0681","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1207.0681","created_at":"2026-05-18T03:51:57.502324+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.0681v1","created_at":"2026-05-18T03:51:57.502324+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0681","created_at":"2026-05-18T03:51:57.502324+00:00"},{"alias_kind":"pith_short_12","alias_value":"TYU3LCHGG55U","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_16","alias_value":"TYU3LCHGG55URI6T","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_8","alias_value":"TYU3LCHG","created_at":"2026-05-18T12:27:23.164592+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/TYU3LCHGG55URI6T6N6K65ADXP","json":"https://pith.science/pith/TYU3LCHGG55URI6T6N6K65ADXP.json","graph_json":"https://pith.science/api/pith-number/TYU3LCHGG55URI6T6N6K65ADXP/graph.json","events_json":"https://pith.science/api/pith-number/TYU3LCHGG55URI6T6N6K65ADXP/events.json","paper":"https://pith.science/paper/TYU3LCHG"},"agent_actions":{"view_html":"https://pith.science/pith/TYU3LCHGG55URI6T6N6K65ADXP","download_json":"https://pith.science/pith/TYU3LCHGG55URI6T6N6K65ADXP.json","view_paper":"https://pith.science/paper/TYU3LCHG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.0681&json=true","fetch_graph":"https://pith.science/api/pith-number/TYU3LCHGG55URI6T6N6K65ADXP/graph.json","fetch_events":"https://pith.science/api/pith-number/TYU3LCHGG55URI6T6N6K65ADXP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TYU3LCHGG55URI6T6N6K65ADXP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TYU3LCHGG55URI6T6N6K65ADXP/action/storage_attestation","attest_author":"https://pith.science/pith/TYU3LCHGG55URI6T6N6K65ADXP/action/author_attestation","sign_citation":"https://pith.science/pith/TYU3LCHGG55URI6T6N6K65ADXP/action/citation_signature","submit_replication":"https://pith.science/pith/TYU3LCHGG55URI6T6N6K65ADXP/action/replication_record"}},"created_at":"2026-05-18T03:51:57.502324+00:00","updated_at":"2026-05-18T03:51:57.502324+00:00"}