{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:R2OVIMU3QLTKWDQA6K44HPRSL5","short_pith_number":"pith:R2OVIMU3","canonical_record":{"source":{"id":"hep-th/0602077","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-02-08T10:19:40Z","cross_cats_sorted":[],"title_canon_sha256":"be8537a38468dd6077d33202fd8f247b6fd419e291c03f932beedb80df9846ed","abstract_canon_sha256":"b635a8929477cab8a6b25cba2de0eb8aaae3105a912dc03c504c79f859484412"},"schema_version":"1.0"},"canonical_sha256":"8e9d54329b82e6ab0e00f2b9c3be325f594c63cad335b3c15017edc2915614b5","source":{"kind":"arxiv","id":"hep-th/0602077","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0602077","created_at":"2026-05-18T04:36:19Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0602077v1","created_at":"2026-05-18T04:36:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0602077","created_at":"2026-05-18T04:36:19Z"},{"alias_kind":"pith_short_12","alias_value":"R2OVIMU3QLTK","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"R2OVIMU3QLTKWDQA","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"R2OVIMU3","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:R2OVIMU3QLTKWDQA6K44HPRSL5","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0602077","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-02-08T10:19:40Z","cross_cats_sorted":[],"title_canon_sha256":"be8537a38468dd6077d33202fd8f247b6fd419e291c03f932beedb80df9846ed","abstract_canon_sha256":"b635a8929477cab8a6b25cba2de0eb8aaae3105a912dc03c504c79f859484412"},"schema_version":"1.0"},"canonical_sha256":"8e9d54329b82e6ab0e00f2b9c3be325f594c63cad335b3c15017edc2915614b5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:36:19.847073Z","signature_b64":"SPIeLVxpy8evSwOU7AAWaoY8Yg7I4O71KFIKVTOCPyhZL5S7uTVJCLyFERRz32OhHkFEyxiXUGC7AhnPNd5qBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e9d54329b82e6ab0e00f2b9c3be325f594c63cad335b3c15017edc2915614b5","last_reissued_at":"2026-05-18T04:36:19.846389Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:36:19.846389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0602077","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":"2026-05-18T04:36:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/bfiQWpYanXWkCHqTF9zBOsDCAQV0BVt+H/hAnDWFaGNsldcMgD7cXgSMDrEs6cq7Rbpa9xbi4QLuU+ubZiiBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T08:45:37.673003Z"},"content_sha256":"4b3520a048dc70e4f87c75d517c06491c1353068f93b6eae9bafcc930a8c4724","schema_version":"1.0","event_id":"sha256:4b3520a048dc70e4f87c75d517c06491c1353068f93b6eae9bafcc930a8c4724"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:R2OVIMU3QLTKWDQA6K44HPRSL5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Remarks on the spherical waves of the Dirac field on de Sitter spacetime","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cosmin Crucean, Ion I. Cot\\u{a}escu, Radu Racoceanu","submitted_at":"2006-02-08T10:19:40Z","abstract_excerpt":"The Shishkin's solutions of the Dirac equation in spherical moving frames of the de Sitter spacetime are investigated pointing out the set of commuting operators whose eigenvalues determine the integration constants. It is shown that these depend on the usual angular quantum numbers and, in addition, on the value of the scalar momentum. With these elements a new result is obtained finding the system of solutions normalized (in generalized sense) in the scale of scalar momentum."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0602077","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":"2026-05-18T04:36:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nwMt5dJRGUQWY7JaKjo/Im4Qv1b4jX3E2hLXAJnu/Z3+IxFDoT57jEaIUNb7UQVZbm1YjCHEYTr8nVN3zGcFBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T08:45:37.673351Z"},"content_sha256":"93f983fe4670b9626f166ac17ff11940cd3d1fe9c0e679fb08ec249bd2195d7a","schema_version":"1.0","event_id":"sha256:93f983fe4670b9626f166ac17ff11940cd3d1fe9c0e679fb08ec249bd2195d7a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R2OVIMU3QLTKWDQA6K44HPRSL5/bundle.json","state_url":"https://pith.science/pith/R2OVIMU3QLTKWDQA6K44HPRSL5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R2OVIMU3QLTKWDQA6K44HPRSL5/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":"2026-06-28T08:45:37Z","links":{"resolver":"https://pith.science/pith/R2OVIMU3QLTKWDQA6K44HPRSL5","bundle":"https://pith.science/pith/R2OVIMU3QLTKWDQA6K44HPRSL5/bundle.json","state":"https://pith.science/pith/R2OVIMU3QLTKWDQA6K44HPRSL5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R2OVIMU3QLTKWDQA6K44HPRSL5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:R2OVIMU3QLTKWDQA6K44HPRSL5","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":"b635a8929477cab8a6b25cba2de0eb8aaae3105a912dc03c504c79f859484412","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2006-02-08T10:19:40Z","title_canon_sha256":"be8537a38468dd6077d33202fd8f247b6fd419e291c03f932beedb80df9846ed"},"schema_version":"1.0","source":{"id":"hep-th/0602077","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0602077","created_at":"2026-05-18T04:36:19Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0602077v1","created_at":"2026-05-18T04:36:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0602077","created_at":"2026-05-18T04:36:19Z"},{"alias_kind":"pith_short_12","alias_value":"R2OVIMU3QLTK","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"R2OVIMU3QLTKWDQA","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"R2OVIMU3","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:93f983fe4670b9626f166ac17ff11940cd3d1fe9c0e679fb08ec249bd2195d7a","target":"graph","created_at":"2026-05-18T04:36:19Z","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":"The Shishkin's solutions of the Dirac equation in spherical moving frames of the de Sitter spacetime are investigated pointing out the set of commuting operators whose eigenvalues determine the integration constants. It is shown that these depend on the usual angular quantum numbers and, in addition, on the value of the scalar momentum. With these elements a new result is obtained finding the system of solutions normalized (in generalized sense) in the scale of scalar momentum.","authors_text":"Cosmin Crucean, Ion I. Cot\\u{a}escu, Radu Racoceanu","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-02-08T10:19:40Z","title":"Remarks on the spherical waves of the Dirac field on de Sitter spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0602077","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":"sha256:4b3520a048dc70e4f87c75d517c06491c1353068f93b6eae9bafcc930a8c4724","target":"record","created_at":"2026-05-18T04:36:19Z","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":"b635a8929477cab8a6b25cba2de0eb8aaae3105a912dc03c504c79f859484412","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2006-02-08T10:19:40Z","title_canon_sha256":"be8537a38468dd6077d33202fd8f247b6fd419e291c03f932beedb80df9846ed"},"schema_version":"1.0","source":{"id":"hep-th/0602077","kind":"arxiv","version":1}},"canonical_sha256":"8e9d54329b82e6ab0e00f2b9c3be325f594c63cad335b3c15017edc2915614b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e9d54329b82e6ab0e00f2b9c3be325f594c63cad335b3c15017edc2915614b5","first_computed_at":"2026-05-18T04:36:19.846389Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:36:19.846389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SPIeLVxpy8evSwOU7AAWaoY8Yg7I4O71KFIKVTOCPyhZL5S7uTVJCLyFERRz32OhHkFEyxiXUGC7AhnPNd5qBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:36:19.847073Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0602077","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b3520a048dc70e4f87c75d517c06491c1353068f93b6eae9bafcc930a8c4724","sha256:93f983fe4670b9626f166ac17ff11940cd3d1fe9c0e679fb08ec249bd2195d7a"],"state_sha256":"49ea64a00693aa073da22156b2561ccffeadfa4dcb556fa314e2b66aa718d2be"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"isl6Pu+elfrVSeltMA+RwuHf35yb9p1hceH8nwGmkUh68n8SMPQ7tCh/K8sal0YoraSZSDn4Mn8mkKVbDj11DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T08:45:37.675356Z","bundle_sha256":"4bfbe1800890f3e220c28e4e30af11d906d052acc2421b9f15b10aea0e51cad3"}}