{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:BJ5FONI7QXA4B3Q7TNPJSVHZF3","short_pith_number":"pith:BJ5FONI7","canonical_record":{"source":{"id":"hep-th/0501037","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-01-06T17:04:55Z","cross_cats_sorted":[],"title_canon_sha256":"72a164af89e8b345df0b729800edc8b63b2c3ca42e5c99597ff8ae3456b599fb","abstract_canon_sha256":"e2104cec9ecd7504f9db31b6469ec9b6592aa03abc0cada51c015b7b38ef5ab6"},"schema_version":"1.0"},"canonical_sha256":"0a7a57351f85c1c0ee1f9b5e9954f92ec421b696329d29a5976682a37152da8f","source":{"kind":"arxiv","id":"hep-th/0501037","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0501037","created_at":"2026-05-18T04:35:22Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0501037v1","created_at":"2026-05-18T04:35:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0501037","created_at":"2026-05-18T04:35:22Z"},{"alias_kind":"pith_short_12","alias_value":"BJ5FONI7QXA4","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"BJ5FONI7QXA4B3Q7","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"BJ5FONI7","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:BJ5FONI7QXA4B3Q7TNPJSVHZF3","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0501037","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-01-06T17:04:55Z","cross_cats_sorted":[],"title_canon_sha256":"72a164af89e8b345df0b729800edc8b63b2c3ca42e5c99597ff8ae3456b599fb","abstract_canon_sha256":"e2104cec9ecd7504f9db31b6469ec9b6592aa03abc0cada51c015b7b38ef5ab6"},"schema_version":"1.0"},"canonical_sha256":"0a7a57351f85c1c0ee1f9b5e9954f92ec421b696329d29a5976682a37152da8f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:22.945791Z","signature_b64":"HoaB4BuEgR6MBP1goS97SieRVCr4Cxk2CWBaK9EIoyL6MbespHXmwRRXfzAlVWXjDh+Pk1Oh834GnOzA+eXUBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a7a57351f85c1c0ee1f9b5e9954f92ec421b696329d29a5976682a37152da8f","last_reissued_at":"2026-05-18T04:35:22.945402Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:22.945402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0501037","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":"2026-05-18T04:35:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rvi9+MtAIuzSbHqorBs5fMD8WGaIQLrKrn+1D3F7ce+bTATs8mJO5cqUpYjyEEg6bNUYAh+MmWiv8Skzg89PDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T06:13:10.957591Z"},"content_sha256":"920deb5494ecbc9897c88b0af899bc571ea34314d1681115cce165e51eaa36d4","schema_version":"1.0","event_id":"sha256:920deb5494ecbc9897c88b0af899bc571ea34314d1681115cce165e51eaa36d4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:BJ5FONI7QXA4B3Q7TNPJSVHZF3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The three-dimensional Dirac-Oscillator in the presence of Aharonov-Bohm and magnetic monopole potentials","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. D. Alhaidari","submitted_at":"2005-01-06T17:04:55Z","abstract_excerpt":"We study the Dirac equation in 3+1 dimensions with non-minimal coupling to isotropic radial three-vector potential and in the presence of static electromagnetic potential. The space component of the electromagnetic potential has angular (non-central) dependence such that the Dirac equation is completely separable in spherical coordinates. We obtain exact solutions for the case where the three-vector potential is linear in the radial coordinate (Dirac-Oscillator) and the time component of the electromagnetic potential vanishes. The relativistic energy spectrum and spinor eigenfunctions are obta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0501037","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":"2026-05-18T04:35:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XCIV5++SyV46u/3fZ+6AVU3TWedUBWGFzLXNq6oR2wislJ02YjPHsPN+OoiZI1IQ2kchnjtbH825n6gYddD8AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T06:13:10.958330Z"},"content_sha256":"d3dd11ae73a04075b7751bf4c5b1369875dffb86a6f082b88270efd8a05d5f9d","schema_version":"1.0","event_id":"sha256:d3dd11ae73a04075b7751bf4c5b1369875dffb86a6f082b88270efd8a05d5f9d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BJ5FONI7QXA4B3Q7TNPJSVHZF3/bundle.json","state_url":"https://pith.science/pith/BJ5FONI7QXA4B3Q7TNPJSVHZF3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BJ5FONI7QXA4B3Q7TNPJSVHZF3/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":"2026-06-07T06:13:10Z","links":{"resolver":"https://pith.science/pith/BJ5FONI7QXA4B3Q7TNPJSVHZF3","bundle":"https://pith.science/pith/BJ5FONI7QXA4B3Q7TNPJSVHZF3/bundle.json","state":"https://pith.science/pith/BJ5FONI7QXA4B3Q7TNPJSVHZF3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BJ5FONI7QXA4B3Q7TNPJSVHZF3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:BJ5FONI7QXA4B3Q7TNPJSVHZF3","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":"e2104cec9ecd7504f9db31b6469ec9b6592aa03abc0cada51c015b7b38ef5ab6","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-01-06T17:04:55Z","title_canon_sha256":"72a164af89e8b345df0b729800edc8b63b2c3ca42e5c99597ff8ae3456b599fb"},"schema_version":"1.0","source":{"id":"hep-th/0501037","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0501037","created_at":"2026-05-18T04:35:22Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0501037v1","created_at":"2026-05-18T04:35:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0501037","created_at":"2026-05-18T04:35:22Z"},{"alias_kind":"pith_short_12","alias_value":"BJ5FONI7QXA4","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"BJ5FONI7QXA4B3Q7","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"BJ5FONI7","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:d3dd11ae73a04075b7751bf4c5b1369875dffb86a6f082b88270efd8a05d5f9d","target":"graph","created_at":"2026-05-18T04:35:22Z","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 study the Dirac equation in 3+1 dimensions with non-minimal coupling to isotropic radial three-vector potential and in the presence of static electromagnetic potential. The space component of the electromagnetic potential has angular (non-central) dependence such that the Dirac equation is completely separable in spherical coordinates. We obtain exact solutions for the case where the three-vector potential is linear in the radial coordinate (Dirac-Oscillator) and the time component of the electromagnetic potential vanishes. The relativistic energy spectrum and spinor eigenfunctions are obta","authors_text":"A. D. Alhaidari","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-01-06T17:04:55Z","title":"The three-dimensional Dirac-Oscillator in the presence of Aharonov-Bohm and magnetic monopole potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0501037","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":"sha256:920deb5494ecbc9897c88b0af899bc571ea34314d1681115cce165e51eaa36d4","target":"record","created_at":"2026-05-18T04:35:22Z","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":"e2104cec9ecd7504f9db31b6469ec9b6592aa03abc0cada51c015b7b38ef5ab6","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-01-06T17:04:55Z","title_canon_sha256":"72a164af89e8b345df0b729800edc8b63b2c3ca42e5c99597ff8ae3456b599fb"},"schema_version":"1.0","source":{"id":"hep-th/0501037","kind":"arxiv","version":1}},"canonical_sha256":"0a7a57351f85c1c0ee1f9b5e9954f92ec421b696329d29a5976682a37152da8f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a7a57351f85c1c0ee1f9b5e9954f92ec421b696329d29a5976682a37152da8f","first_computed_at":"2026-05-18T04:35:22.945402Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:22.945402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HoaB4BuEgR6MBP1goS97SieRVCr4Cxk2CWBaK9EIoyL6MbespHXmwRRXfzAlVWXjDh+Pk1Oh834GnOzA+eXUBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:22.945791Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0501037","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:920deb5494ecbc9897c88b0af899bc571ea34314d1681115cce165e51eaa36d4","sha256:d3dd11ae73a04075b7751bf4c5b1369875dffb86a6f082b88270efd8a05d5f9d"],"state_sha256":"58906e08bfa49327ac877dcd81ad3e32753549953d66fa9fd8fe5905fbb7d0c7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"08MyA6l+dXBTAhKzcvT0GxxujGNiU7rMgM1aF5V/T8S8kMeVdANMli+8aqIHoS5RHKVmNuTLpoipOM1VM6fWCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T06:13:10.961905Z","bundle_sha256":"312aad0c31934160814793dd8084312eac47a66c4c53d2c4d9b64a52a5fe94c9"}}