{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:EC723PZPUX5H76JRUA2GJCV4TH","short_pith_number":"pith:EC723PZP","canonical_record":{"source":{"id":"1106.2236","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-06-11T13:36:02Z","cross_cats_sorted":["gr-qc","quant-ph"],"title_canon_sha256":"3b81920b1d846ecbae4cbdb4262c9391c46e7c25e2e0cd0384052c955a6a2b46","abstract_canon_sha256":"0ff99898c0d333cfc0b05ae8686d5e216559c0a9885c4b1980f3435d9562c189"},"schema_version":"1.0"},"canonical_sha256":"20bfadbf2fa5fa7ff931a034648abc99d58c279bdda08032bc516795aaaf1027","source":{"kind":"arxiv","id":"1106.2236","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.2236","created_at":"2026-05-18T01:29:38Z"},{"alias_kind":"arxiv_version","alias_value":"1106.2236v4","created_at":"2026-05-18T01:29:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.2236","created_at":"2026-05-18T01:29:38Z"},{"alias_kind":"pith_short_12","alias_value":"EC723PZPUX5H","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"EC723PZPUX5H76JR","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"EC723PZP","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:EC723PZPUX5H76JRUA2GJCV4TH","target":"record","payload":{"canonical_record":{"source":{"id":"1106.2236","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-06-11T13:36:02Z","cross_cats_sorted":["gr-qc","quant-ph"],"title_canon_sha256":"3b81920b1d846ecbae4cbdb4262c9391c46e7c25e2e0cd0384052c955a6a2b46","abstract_canon_sha256":"0ff99898c0d333cfc0b05ae8686d5e216559c0a9885c4b1980f3435d9562c189"},"schema_version":"1.0"},"canonical_sha256":"20bfadbf2fa5fa7ff931a034648abc99d58c279bdda08032bc516795aaaf1027","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:38.696121Z","signature_b64":"kr7nz1jAuovEZOb/aiDRfcHW9GTossnZ12X0b8V71o5Z4zjZHhvI8LLUvO9qVRrOsWliyneC7V0peUup8yS7CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20bfadbf2fa5fa7ff931a034648abc99d58c279bdda08032bc516795aaaf1027","last_reissued_at":"2026-05-18T01:29:38.695560Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:38.695560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.2236","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:29:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ue8wHF7XhS3AIPWgUnKqPLcBiTY9oivZ+MUzGon3MMj0/mJFYYzRXudmhqPpfoRXgVC56PWRkaRCYHoVCfMsAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T05:14:46.906019Z"},"content_sha256":"d0492f58dc5ef9beee47847d8216839a6778796e4faa3f097cf81e4d52e929de","schema_version":"1.0","event_id":"sha256:d0492f58dc5ef9beee47847d8216839a6778796e4faa3f097cf81e4d52e929de"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:EC723PZPUX5H76JRUA2GJCV4TH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Compatibility of symmetric quantization with general covariance in the Dirac equation and spin connections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"A. D. Alhaidari, A. Jellal","submitted_at":"2011-06-11T13:36:02Z","abstract_excerpt":"By requiring unambiguous symmetric quantization leading to the Dirac equation in a curved space, we obtain a special representation of the spin connections in terms of the Dirac gamma matrices and their space-time derivatives. We also require that squaring the equation give the Klein-Gordon equation in a curved space in its canonical from (without spinor components coupling and with no first order derivatives). These requirements result in matrix operator algebra for the Dirac gamma matrices that involves a universal curvature constant. We obtain exact solutions of the Dirac and Klein-Gordon e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.2236","kind":"arxiv","version":4},"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":"2026-05-18T01:29:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RvMzRZhsM9IrOrL4uEc063X5DDGj39aM0YiWYPrzp3xKp4evzZSY92W+pAUJ/4UdXqxqihLcnR4fQODCcbXMAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T05:14:46.906373Z"},"content_sha256":"1cecceb3c481e2d1b5a451756ea36c7caa5965333e8b6a516d294ec19c73d4d9","schema_version":"1.0","event_id":"sha256:1cecceb3c481e2d1b5a451756ea36c7caa5965333e8b6a516d294ec19c73d4d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EC723PZPUX5H76JRUA2GJCV4TH/bundle.json","state_url":"https://pith.science/pith/EC723PZPUX5H76JRUA2GJCV4TH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EC723PZPUX5H76JRUA2GJCV4TH/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":"2026-06-07T05:14:46Z","links":{"resolver":"https://pith.science/pith/EC723PZPUX5H76JRUA2GJCV4TH","bundle":"https://pith.science/pith/EC723PZPUX5H76JRUA2GJCV4TH/bundle.json","state":"https://pith.science/pith/EC723PZPUX5H76JRUA2GJCV4TH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EC723PZPUX5H76JRUA2GJCV4TH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:EC723PZPUX5H76JRUA2GJCV4TH","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":"0ff99898c0d333cfc0b05ae8686d5e216559c0a9885c4b1980f3435d9562c189","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-06-11T13:36:02Z","title_canon_sha256":"3b81920b1d846ecbae4cbdb4262c9391c46e7c25e2e0cd0384052c955a6a2b46"},"schema_version":"1.0","source":{"id":"1106.2236","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.2236","created_at":"2026-05-18T01:29:38Z"},{"alias_kind":"arxiv_version","alias_value":"1106.2236v4","created_at":"2026-05-18T01:29:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.2236","created_at":"2026-05-18T01:29:38Z"},{"alias_kind":"pith_short_12","alias_value":"EC723PZPUX5H","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"EC723PZPUX5H76JR","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"EC723PZP","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:1cecceb3c481e2d1b5a451756ea36c7caa5965333e8b6a516d294ec19c73d4d9","target":"graph","created_at":"2026-05-18T01:29:38Z","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 requiring unambiguous symmetric quantization leading to the Dirac equation in a curved space, we obtain a special representation of the spin connections in terms of the Dirac gamma matrices and their space-time derivatives. We also require that squaring the equation give the Klein-Gordon equation in a curved space in its canonical from (without spinor components coupling and with no first order derivatives). These requirements result in matrix operator algebra for the Dirac gamma matrices that involves a universal curvature constant. We obtain exact solutions of the Dirac and Klein-Gordon e","authors_text":"A. D. Alhaidari, A. Jellal","cross_cats":["gr-qc","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-06-11T13:36:02Z","title":"Compatibility of symmetric quantization with general covariance in the Dirac equation and spin connections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.2236","kind":"arxiv","version":4},"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:d0492f58dc5ef9beee47847d8216839a6778796e4faa3f097cf81e4d52e929de","target":"record","created_at":"2026-05-18T01:29:38Z","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":"0ff99898c0d333cfc0b05ae8686d5e216559c0a9885c4b1980f3435d9562c189","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-06-11T13:36:02Z","title_canon_sha256":"3b81920b1d846ecbae4cbdb4262c9391c46e7c25e2e0cd0384052c955a6a2b46"},"schema_version":"1.0","source":{"id":"1106.2236","kind":"arxiv","version":4}},"canonical_sha256":"20bfadbf2fa5fa7ff931a034648abc99d58c279bdda08032bc516795aaaf1027","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20bfadbf2fa5fa7ff931a034648abc99d58c279bdda08032bc516795aaaf1027","first_computed_at":"2026-05-18T01:29:38.695560Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:38.695560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kr7nz1jAuovEZOb/aiDRfcHW9GTossnZ12X0b8V71o5Z4zjZHhvI8LLUvO9qVRrOsWliyneC7V0peUup8yS7CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:38.696121Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.2236","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0492f58dc5ef9beee47847d8216839a6778796e4faa3f097cf81e4d52e929de","sha256:1cecceb3c481e2d1b5a451756ea36c7caa5965333e8b6a516d294ec19c73d4d9"],"state_sha256":"68e041070be18a867309ecc77a7d5cf26d72eeab18f1dd055b807dde3f9a5b97"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pJoUgRXRxHEK3ZAsKPTpe4jk/bdj+f72DmbjMSJj2zCGATTcg3BMw/3/V6HjKrZJbWyJdOY+2x7Kjv/pEH/zCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T05:14:46.908336Z","bundle_sha256":"242e3ba3543e903ae8c6a0648d3cb39c55223db4ae1b6ca55969cf1009495067"}}