{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:OD2ICYBQEDP2ISZ362XJKU2X5A","short_pith_number":"pith:OD2ICYBQ","canonical_record":{"source":{"id":"hep-th/0312130","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-12-12T11:03:04Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI","quant-ph"],"title_canon_sha256":"7c933091d0faee0afb9c5cc2046b85acdeb3eae1073f84ec21e6606fbd186ce8","abstract_canon_sha256":"c9982d5fed0c5925a48fe1b54322bea3017bf500be64af78a71779f47d4f10d8"},"schema_version":"1.0"},"canonical_sha256":"70f481603020dfa44b3bf6ae955357e804f98e15e9cbe95ced634f11e80b0d21","source":{"kind":"arxiv","id":"hep-th/0312130","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0312130","created_at":"2026-05-18T01:38:46Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0312130v1","created_at":"2026-05-18T01:38:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0312130","created_at":"2026-05-18T01:38:46Z"},{"alias_kind":"pith_short_12","alias_value":"OD2ICYBQEDP2","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"OD2ICYBQEDP2ISZ3","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"OD2ICYBQ","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:OD2ICYBQEDP2ISZ362XJKU2X5A","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0312130","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-12-12T11:03:04Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI","quant-ph"],"title_canon_sha256":"7c933091d0faee0afb9c5cc2046b85acdeb3eae1073f84ec21e6606fbd186ce8","abstract_canon_sha256":"c9982d5fed0c5925a48fe1b54322bea3017bf500be64af78a71779f47d4f10d8"},"schema_version":"1.0"},"canonical_sha256":"70f481603020dfa44b3bf6ae955357e804f98e15e9cbe95ced634f11e80b0d21","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:46.448592Z","signature_b64":"wlbzgoBLRs/6S8bZUZVTTa4WX/D5vsSU451qoT3gRCAJ9Bf7QaVaMBc/ny+arQc4PPzkO46Xkmh2yJMzlhqBBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"70f481603020dfa44b3bf6ae955357e804f98e15e9cbe95ced634f11e80b0d21","last_reissued_at":"2026-05-18T01:38:46.448180Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:46.448180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0312130","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":"2026-05-18T01:38:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7B+AtPePmqEiSnxg2QKKXzfgs5yiNlzrm/mf+MAFUAxz7GuqmjIdS2Jo3JtSJuqvN5hWgGhI0reaSFh2qOzDCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:20:30.669356Z"},"content_sha256":"bdb3afc77dd06de2d8277b8d6cc307194ad25b580d727dea07dba8ae8ca6ca8b","schema_version":"1.0","event_id":"sha256:bdb3afc77dd06de2d8277b8d6cc307194ad25b580d727dea07dba8ae8ca6ca8b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:OD2ICYBQEDP2ISZ362XJKU2X5A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac oscillators","license":"","headline":"","cross_cats":["math-ph","math.MP","nlin.SI","quant-ph"],"primary_cat":"hep-th","authors_text":"Choon-Lin Ho, Pinaki Roy","submitted_at":"2003-12-12T11:03:04Z","abstract_excerpt":"We demonstrate that neutral Dirac particles in external electric fields, which are equivalent to generalized Dirac oscillators, are physical examples of quasi-exactly solvable systems. Electric field configurations permitting quasi-exact solvability of the system based on the $sl(2)$ symmetry are discussed separately in spherical, cylindrical, and Cartesian coordinates. Some exactly solvable field configurations are also exhibited."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0312130","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":"2026-05-18T01:38:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6AMsKlK5p0LFbZd8hlJ2micAUCralWn5wxn5UdKyO29yHTUa5CNukoWWmq6t0kFV1hp3NlhamiGYoMUk83OQBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:20:30.669702Z"},"content_sha256":"602d282a3b9345b63be357fc5800a9b216f3b0feb59188fd215509c0f1afb064","schema_version":"1.0","event_id":"sha256:602d282a3b9345b63be357fc5800a9b216f3b0feb59188fd215509c0f1afb064"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OD2ICYBQEDP2ISZ362XJKU2X5A/bundle.json","state_url":"https://pith.science/pith/OD2ICYBQEDP2ISZ362XJKU2X5A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OD2ICYBQEDP2ISZ362XJKU2X5A/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":"2026-06-01T05:20:30Z","links":{"resolver":"https://pith.science/pith/OD2ICYBQEDP2ISZ362XJKU2X5A","bundle":"https://pith.science/pith/OD2ICYBQEDP2ISZ362XJKU2X5A/bundle.json","state":"https://pith.science/pith/OD2ICYBQEDP2ISZ362XJKU2X5A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OD2ICYBQEDP2ISZ362XJKU2X5A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:OD2ICYBQEDP2ISZ362XJKU2X5A","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":"c9982d5fed0c5925a48fe1b54322bea3017bf500be64af78a71779f47d4f10d8","cross_cats_sorted":["math-ph","math.MP","nlin.SI","quant-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2003-12-12T11:03:04Z","title_canon_sha256":"7c933091d0faee0afb9c5cc2046b85acdeb3eae1073f84ec21e6606fbd186ce8"},"schema_version":"1.0","source":{"id":"hep-th/0312130","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0312130","created_at":"2026-05-18T01:38:46Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0312130v1","created_at":"2026-05-18T01:38:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0312130","created_at":"2026-05-18T01:38:46Z"},{"alias_kind":"pith_short_12","alias_value":"OD2ICYBQEDP2","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"OD2ICYBQEDP2ISZ3","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"OD2ICYBQ","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:602d282a3b9345b63be357fc5800a9b216f3b0feb59188fd215509c0f1afb064","target":"graph","created_at":"2026-05-18T01:38:46Z","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 demonstrate that neutral Dirac particles in external electric fields, which are equivalent to generalized Dirac oscillators, are physical examples of quasi-exactly solvable systems. Electric field configurations permitting quasi-exact solvability of the system based on the $sl(2)$ symmetry are discussed separately in spherical, cylindrical, and Cartesian coordinates. Some exactly solvable field configurations are also exhibited.","authors_text":"Choon-Lin Ho, Pinaki Roy","cross_cats":["math-ph","math.MP","nlin.SI","quant-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-12-12T11:03:04Z","title":"Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0312130","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:bdb3afc77dd06de2d8277b8d6cc307194ad25b580d727dea07dba8ae8ca6ca8b","target":"record","created_at":"2026-05-18T01:38:46Z","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":"c9982d5fed0c5925a48fe1b54322bea3017bf500be64af78a71779f47d4f10d8","cross_cats_sorted":["math-ph","math.MP","nlin.SI","quant-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2003-12-12T11:03:04Z","title_canon_sha256":"7c933091d0faee0afb9c5cc2046b85acdeb3eae1073f84ec21e6606fbd186ce8"},"schema_version":"1.0","source":{"id":"hep-th/0312130","kind":"arxiv","version":1}},"canonical_sha256":"70f481603020dfa44b3bf6ae955357e804f98e15e9cbe95ced634f11e80b0d21","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"70f481603020dfa44b3bf6ae955357e804f98e15e9cbe95ced634f11e80b0d21","first_computed_at":"2026-05-18T01:38:46.448180Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:46.448180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wlbzgoBLRs/6S8bZUZVTTa4WX/D5vsSU451qoT3gRCAJ9Bf7QaVaMBc/ny+arQc4PPzkO46Xkmh2yJMzlhqBBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:46.448592Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0312130","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bdb3afc77dd06de2d8277b8d6cc307194ad25b580d727dea07dba8ae8ca6ca8b","sha256:602d282a3b9345b63be357fc5800a9b216f3b0feb59188fd215509c0f1afb064"],"state_sha256":"3a16816661707dde8348afa2f1a2c69aac03c4a23c0d93065267fcf559d92af6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pPPY1AzRBiCO42ipaTZKT6rQ8XvzM5vodDFPp+qfpUdc1ZSp+bNmfNXczulZtOeB01/x8FalA2mnqkkeb+rEBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T05:20:30.671733Z","bundle_sha256":"8d327d40a6131fc956fcd405e74d0bafdc81f65ed4cc97b6f0d8ac8692e979e3"}}