{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:KH74EPE7QWN4A3ZCNMR4IDOD7Y","short_pith_number":"pith:KH74EPE7","canonical_record":{"source":{"id":"1204.5898","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2012-04-26T12:31:34Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"83976e2f1eaf69f9437e7e8c1a712bf9ca707d6f77997ea9dcc5ea190f0dcaaf","abstract_canon_sha256":"dc592b8632fb4c6ca547932b7d9ef9a378b58e10653574752998138ed50fb398"},"schema_version":"1.0"},"canonical_sha256":"51ffc23c9f859bc06f226b23c40dc3fe1ddd61ae03e724fc20e7fc4d60e924e6","source":{"kind":"arxiv","id":"1204.5898","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.5898","created_at":"2026-05-18T03:56:59Z"},{"alias_kind":"arxiv_version","alias_value":"1204.5898v1","created_at":"2026-05-18T03:56:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5898","created_at":"2026-05-18T03:56:59Z"},{"alias_kind":"pith_short_12","alias_value":"KH74EPE7QWN4","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KH74EPE7QWN4A3ZC","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KH74EPE7","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:KH74EPE7QWN4A3ZCNMR4IDOD7Y","target":"record","payload":{"canonical_record":{"source":{"id":"1204.5898","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2012-04-26T12:31:34Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"83976e2f1eaf69f9437e7e8c1a712bf9ca707d6f77997ea9dcc5ea190f0dcaaf","abstract_canon_sha256":"dc592b8632fb4c6ca547932b7d9ef9a378b58e10653574752998138ed50fb398"},"schema_version":"1.0"},"canonical_sha256":"51ffc23c9f859bc06f226b23c40dc3fe1ddd61ae03e724fc20e7fc4d60e924e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:59.144361Z","signature_b64":"YViaAdm0mtLZpafqZlpzlMq8JQM06hrBSDsDV+0qHTsTQwAGStIRlEQ2FNBE6bxD2CVnLEjxfx7I30O/wVNlBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51ffc23c9f859bc06f226b23c40dc3fe1ddd61ae03e724fc20e7fc4d60e924e6","last_reissued_at":"2026-05-18T03:56:59.143551Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:59.143551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.5898","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":"2026-05-18T03:56:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i/4X0Dm5FwzsB6X9C9XC1KgFeBCGFn+9gsYrcPoyMn6PTro1tIa8UVMRcmeQ28BizE3zsgGCNoomupN2KgV6Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T05:20:45.579618Z"},"content_sha256":"ba374923e46f977f1d778f31a8920bac163fe98a62665aeeef11ab7c3c5dc1d5","schema_version":"1.0","event_id":"sha256:ba374923e46f977f1d778f31a8920bac163fe98a62665aeeef11ab7c3c5dc1d5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:KH74EPE7QWN4A3ZCNMR4IDOD7Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Approximate Spin and Pseudospin Solutions of the Dirac equation with Rosen-Morse Potential including a Coulomb Tensor Interaction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"nucl-th","authors_text":"K. J. Oyewumi","submitted_at":"2012-04-26T12:31:34Z","abstract_excerpt":"By applying the Pekeris-type approximation to deal with the (pseudo or) centrifugal term, the spin and pseudospin symmetry solutions of the Dirac equation for the Rosen-Morse potential including a Coulomb-like tensor potential with arbitrary spin-orbit coupling quantum number $\\kappa$ are obtained by standard method. It has been shown from the numerical results that the degeneracies between spin and pseudospin state doublets are removed by the tensor interaction. Special case of this potential, that is, the spin and pseudospin solutions of the Dirac equation with the modified P\\\"{o}schl-Teller"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5898","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":"2026-05-18T03:56:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5XrTxTVZDr3WWSI6aEWTUWQYXjKVnozEF4xPN5TKNCXTJQpYyPAzwVJzECa/t9oZ5TNZ+mG3CK/ass41YGNsDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T05:20:45.579964Z"},"content_sha256":"d035b587a531bd3fdc68c98d8f54a68c984066191bc964b4067a00e9f8f3c4f5","schema_version":"1.0","event_id":"sha256:d035b587a531bd3fdc68c98d8f54a68c984066191bc964b4067a00e9f8f3c4f5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KH74EPE7QWN4A3ZCNMR4IDOD7Y/bundle.json","state_url":"https://pith.science/pith/KH74EPE7QWN4A3ZCNMR4IDOD7Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KH74EPE7QWN4A3ZCNMR4IDOD7Y/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":"2026-06-04T05:20:45Z","links":{"resolver":"https://pith.science/pith/KH74EPE7QWN4A3ZCNMR4IDOD7Y","bundle":"https://pith.science/pith/KH74EPE7QWN4A3ZCNMR4IDOD7Y/bundle.json","state":"https://pith.science/pith/KH74EPE7QWN4A3ZCNMR4IDOD7Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KH74EPE7QWN4A3ZCNMR4IDOD7Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:KH74EPE7QWN4A3ZCNMR4IDOD7Y","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":"dc592b8632fb4c6ca547932b7d9ef9a378b58e10653574752998138ed50fb398","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2012-04-26T12:31:34Z","title_canon_sha256":"83976e2f1eaf69f9437e7e8c1a712bf9ca707d6f77997ea9dcc5ea190f0dcaaf"},"schema_version":"1.0","source":{"id":"1204.5898","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.5898","created_at":"2026-05-18T03:56:59Z"},{"alias_kind":"arxiv_version","alias_value":"1204.5898v1","created_at":"2026-05-18T03:56:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5898","created_at":"2026-05-18T03:56:59Z"},{"alias_kind":"pith_short_12","alias_value":"KH74EPE7QWN4","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KH74EPE7QWN4A3ZC","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KH74EPE7","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:d035b587a531bd3fdc68c98d8f54a68c984066191bc964b4067a00e9f8f3c4f5","target":"graph","created_at":"2026-05-18T03:56:59Z","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":"By applying the Pekeris-type approximation to deal with the (pseudo or) centrifugal term, the spin and pseudospin symmetry solutions of the Dirac equation for the Rosen-Morse potential including a Coulomb-like tensor potential with arbitrary spin-orbit coupling quantum number $\\kappa$ are obtained by standard method. It has been shown from the numerical results that the degeneracies between spin and pseudospin state doublets are removed by the tensor interaction. Special case of this potential, that is, the spin and pseudospin solutions of the Dirac equation with the modified P\\\"{o}schl-Teller","authors_text":"K. J. Oyewumi","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2012-04-26T12:31:34Z","title":"Approximate Spin and Pseudospin Solutions of the Dirac equation with Rosen-Morse Potential including a Coulomb Tensor Interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5898","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:ba374923e46f977f1d778f31a8920bac163fe98a62665aeeef11ab7c3c5dc1d5","target":"record","created_at":"2026-05-18T03:56:59Z","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":"dc592b8632fb4c6ca547932b7d9ef9a378b58e10653574752998138ed50fb398","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2012-04-26T12:31:34Z","title_canon_sha256":"83976e2f1eaf69f9437e7e8c1a712bf9ca707d6f77997ea9dcc5ea190f0dcaaf"},"schema_version":"1.0","source":{"id":"1204.5898","kind":"arxiv","version":1}},"canonical_sha256":"51ffc23c9f859bc06f226b23c40dc3fe1ddd61ae03e724fc20e7fc4d60e924e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51ffc23c9f859bc06f226b23c40dc3fe1ddd61ae03e724fc20e7fc4d60e924e6","first_computed_at":"2026-05-18T03:56:59.143551Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:59.143551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YViaAdm0mtLZpafqZlpzlMq8JQM06hrBSDsDV+0qHTsTQwAGStIRlEQ2FNBE6bxD2CVnLEjxfx7I30O/wVNlBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:59.144361Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.5898","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba374923e46f977f1d778f31a8920bac163fe98a62665aeeef11ab7c3c5dc1d5","sha256:d035b587a531bd3fdc68c98d8f54a68c984066191bc964b4067a00e9f8f3c4f5"],"state_sha256":"0c15d9cf0f1d1f60996110fe379cd20235843c54152a859120a3d9a450b51189"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sGKd+qECzWJqU1o+LJT2p6BIZXVssjGnKkLx3v3LsG0L02PuedDF2FQI3p7WdYnWHutzxcdTB4oDW9rCyREkDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T05:20:45.581952Z","bundle_sha256":"a039a34e6111b6ecaffc757c7424b3d41b4b6835cde30818004838bf09690a77"}}