{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:MTPVVSXL4BQZ2SYBY7MRQRWDCI","short_pith_number":"pith:MTPVVSXL","canonical_record":{"source":{"id":"1205.4141","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-18T11:50:37Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a431d8bf9c017a92e3699198ee5ecf314da74e86cfd190ee827b3e0476133616","abstract_canon_sha256":"8f96b3433b59fa0892e99e54f6d8e5127064b15c01a2bf330ea97de98e66fd4b"},"schema_version":"1.0"},"canonical_sha256":"64df5acaebe0619d4b01c7d91846c3120fdcb38ce6934b2ed3b6b69e5e7dc06c","source":{"kind":"arxiv","id":"1205.4141","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.4141","created_at":"2026-05-18T03:39:03Z"},{"alias_kind":"arxiv_version","alias_value":"1205.4141v1","created_at":"2026-05-18T03:39:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.4141","created_at":"2026-05-18T03:39:03Z"},{"alias_kind":"pith_short_12","alias_value":"MTPVVSXL4BQZ","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MTPVVSXL4BQZ2SYB","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MTPVVSXL","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:MTPVVSXL4BQZ2SYBY7MRQRWDCI","target":"record","payload":{"canonical_record":{"source":{"id":"1205.4141","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-18T11:50:37Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a431d8bf9c017a92e3699198ee5ecf314da74e86cfd190ee827b3e0476133616","abstract_canon_sha256":"8f96b3433b59fa0892e99e54f6d8e5127064b15c01a2bf330ea97de98e66fd4b"},"schema_version":"1.0"},"canonical_sha256":"64df5acaebe0619d4b01c7d91846c3120fdcb38ce6934b2ed3b6b69e5e7dc06c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:39:03.657515Z","signature_b64":"VlK0YVR73P+tFLWwBiW4pQOZnwHNr9a/EHMaHfY1gERPfi74cCfjbqgevRwoX3tLFAxj35vLN+7ltpAKqtqcBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64df5acaebe0619d4b01c7d91846c3120fdcb38ce6934b2ed3b6b69e5e7dc06c","last_reissued_at":"2026-05-18T03:39:03.657108Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:39:03.657108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.4141","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":"2026-05-18T03:39:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1qPtOQ0DH2symunSnG+3qwM8jkYfjs/rVLAZdpf+Jb2PM+LCGrKL8y2jX6JYv0a/OMVqsZvZ0opeC/jTOGI8BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T05:28:28.444626Z"},"content_sha256":"aa430f9b1ee4485933cb99188629895a6e067b440506499fdd9d728eb9439761","schema_version":"1.0","event_id":"sha256:aa430f9b1ee4485933cb99188629895a6e067b440506499fdd9d728eb9439761"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:MTPVVSXL4BQZ2SYBY7MRQRWDCI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effects of external fields on two-dimensional Klein-Gordon particle under pseudoharmonic oscillator interaction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Majid Hamzavi, Sameer M. Ikhdair","submitted_at":"2012-05-18T11:50:37Z","abstract_excerpt":"We study the effects of the perpendicular magnetic and Aharonov-Bohm (AB) flux fields on the energy levels of a two-dimensional (2D) Klein-Gordon (KG) particle subjects to equal scalar and vector pseudo-harmonic oscillator (PHO). We calculate the exact energy eigenvalues and normalized wave functions in terms of chemical potential parameter, magnetic field strength, AB flux field and magnetic quantum number by means of the Nikiforov-Uvarov (NU) method. The non-relativistic limit, PHO and harmonic oscillator solutions in the existence and absence of external fields are also obtained."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.4141","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":"2026-05-18T03:39:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GsCpH9BG5GsL03lMm5+eN/tEdVxnXuaLMvVnGa2agTaHJW7i/WY8gNW2PrScqcE4k8EPS44bGVonyCMJP+JVCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T05:28:28.444975Z"},"content_sha256":"6a7fec55f765ed76bdd5227e1a1c372e907ebacea73a26244e1cc9a4400319ab","schema_version":"1.0","event_id":"sha256:6a7fec55f765ed76bdd5227e1a1c372e907ebacea73a26244e1cc9a4400319ab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MTPVVSXL4BQZ2SYBY7MRQRWDCI/bundle.json","state_url":"https://pith.science/pith/MTPVVSXL4BQZ2SYBY7MRQRWDCI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MTPVVSXL4BQZ2SYBY7MRQRWDCI/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":"2026-07-01T05:28:28Z","links":{"resolver":"https://pith.science/pith/MTPVVSXL4BQZ2SYBY7MRQRWDCI","bundle":"https://pith.science/pith/MTPVVSXL4BQZ2SYBY7MRQRWDCI/bundle.json","state":"https://pith.science/pith/MTPVVSXL4BQZ2SYBY7MRQRWDCI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MTPVVSXL4BQZ2SYBY7MRQRWDCI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:MTPVVSXL4BQZ2SYBY7MRQRWDCI","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":"8f96b3433b59fa0892e99e54f6d8e5127064b15c01a2bf330ea97de98e66fd4b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-18T11:50:37Z","title_canon_sha256":"a431d8bf9c017a92e3699198ee5ecf314da74e86cfd190ee827b3e0476133616"},"schema_version":"1.0","source":{"id":"1205.4141","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.4141","created_at":"2026-05-18T03:39:03Z"},{"alias_kind":"arxiv_version","alias_value":"1205.4141v1","created_at":"2026-05-18T03:39:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.4141","created_at":"2026-05-18T03:39:03Z"},{"alias_kind":"pith_short_12","alias_value":"MTPVVSXL4BQZ","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MTPVVSXL4BQZ2SYB","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MTPVVSXL","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:6a7fec55f765ed76bdd5227e1a1c372e907ebacea73a26244e1cc9a4400319ab","target":"graph","created_at":"2026-05-18T03:39:03Z","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 effects of the perpendicular magnetic and Aharonov-Bohm (AB) flux fields on the energy levels of a two-dimensional (2D) Klein-Gordon (KG) particle subjects to equal scalar and vector pseudo-harmonic oscillator (PHO). We calculate the exact energy eigenvalues and normalized wave functions in terms of chemical potential parameter, magnetic field strength, AB flux field and magnetic quantum number by means of the Nikiforov-Uvarov (NU) method. The non-relativistic limit, PHO and harmonic oscillator solutions in the existence and absence of external fields are also obtained.","authors_text":"Majid Hamzavi, Sameer M. Ikhdair","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-18T11:50:37Z","title":"Effects of external fields on two-dimensional Klein-Gordon particle under pseudoharmonic oscillator interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.4141","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:aa430f9b1ee4485933cb99188629895a6e067b440506499fdd9d728eb9439761","target":"record","created_at":"2026-05-18T03:39:03Z","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":"8f96b3433b59fa0892e99e54f6d8e5127064b15c01a2bf330ea97de98e66fd4b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-18T11:50:37Z","title_canon_sha256":"a431d8bf9c017a92e3699198ee5ecf314da74e86cfd190ee827b3e0476133616"},"schema_version":"1.0","source":{"id":"1205.4141","kind":"arxiv","version":1}},"canonical_sha256":"64df5acaebe0619d4b01c7d91846c3120fdcb38ce6934b2ed3b6b69e5e7dc06c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64df5acaebe0619d4b01c7d91846c3120fdcb38ce6934b2ed3b6b69e5e7dc06c","first_computed_at":"2026-05-18T03:39:03.657108Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:03.657108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VlK0YVR73P+tFLWwBiW4pQOZnwHNr9a/EHMaHfY1gERPfi74cCfjbqgevRwoX3tLFAxj35vLN+7ltpAKqtqcBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:03.657515Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.4141","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa430f9b1ee4485933cb99188629895a6e067b440506499fdd9d728eb9439761","sha256:6a7fec55f765ed76bdd5227e1a1c372e907ebacea73a26244e1cc9a4400319ab"],"state_sha256":"973e863a725c7983fc18d02482b0cb639bcb1011eba7a60d179d7349bd941d0f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/I2aoo7Gekq03IjPxJLpq2CHbj6WqycpyItYWZ6NeFv9tWRRnbWNqA2jdZ7oOdWtniusidfWptOoNH51558jDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T05:28:28.447093Z","bundle_sha256":"452f0c004e826fed765189c78dd4c60195dc8f150232bd6302840936dfe2534d"}}