{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:NWJLF2OXF5NOFJJAVOYXORU7LX","short_pith_number":"pith:NWJLF2OX","canonical_record":{"source":{"id":"1109.3009","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-14T07:36:22Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"7dd8fb1f0bd9d23e2e07fce3df5ae1f3d2baf084c48501580a57a08fade1cd23","abstract_canon_sha256":"2274cb84a229a0c944c0a71b9688e298b79d1f14265262f47e9fe190474206e0"},"schema_version":"1.0"},"canonical_sha256":"6d92b2e9d72f5ae2a520abb177469f5dfb991481bbef1987260699c198c1f87f","source":{"kind":"arxiv","id":"1109.3009","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3009","created_at":"2026-05-18T04:13:06Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3009v1","created_at":"2026-05-18T04:13:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3009","created_at":"2026-05-18T04:13:06Z"},{"alias_kind":"pith_short_12","alias_value":"NWJLF2OXF5NO","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NWJLF2OXF5NOFJJA","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NWJLF2OX","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:NWJLF2OXF5NOFJJAVOYXORU7LX","target":"record","payload":{"canonical_record":{"source":{"id":"1109.3009","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-14T07:36:22Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"7dd8fb1f0bd9d23e2e07fce3df5ae1f3d2baf084c48501580a57a08fade1cd23","abstract_canon_sha256":"2274cb84a229a0c944c0a71b9688e298b79d1f14265262f47e9fe190474206e0"},"schema_version":"1.0"},"canonical_sha256":"6d92b2e9d72f5ae2a520abb177469f5dfb991481bbef1987260699c198c1f87f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:06.488987Z","signature_b64":"075C1SyMqvFDEmHKf5by3tAmuRbZM2x1R7VxeunRJBpIgqlwadTYMEgyqzmnwda3kBzGwplBd+11SU6nVExiDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d92b2e9d72f5ae2a520abb177469f5dfb991481bbef1987260699c198c1f87f","last_reissued_at":"2026-05-18T04:13:06.488597Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:06.488597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.3009","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":"2026-05-18T04:13:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hK4ANwOQrVOTANYsYrflTs/dB8ufud0S0gvCZj4iOYX5Gr4VlBVS4F7xXPw1j03wwJMqB5TTLOYN2OnozerGDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:25:10.216502Z"},"content_sha256":"171c3ec06fc700d5f6a08b268710268871bf1fbdf8c96a25ad4da32066dda508","schema_version":"1.0","event_id":"sha256:171c3ec06fc700d5f6a08b268710268871bf1fbdf8c96a25ad4da32066dda508"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:NWJLF2OXF5NOFJJAVOYXORU7LX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin 1/2 particle in the field of the Dirac string on the background of de Sitter space-time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"E.M. Ovsiyuk, O.V. Veko, V.M. Red'kov","submitted_at":"2011-09-14T07:36:22Z","abstract_excerpt":"The Dirac monopole string is specified for de Sitter cosmological model. Dirac equation for spin 1/2 particle in presence of this monopole has been examined on the background of de Sitter space-time in static coordinates. Instead of spinor monopole harmonics, the technique of Wigner D-functions is used. After separation of the variables, detailed analysis of the radial equations is performed; four types of solutions, singular, regular, in- and out- running waves, are constructed in terms of hypergeometric functions. The complete set of spinor wave solutions \\Psi_{\\epsilon, j,m, \\lambda}(t,r, \\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3009","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":"2026-05-18T04:13:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XSdD2CtXZNX/o7Nr0MKONZ9inXDml9VeqCWBhiUogWPTsC2tBM8NZvX1PRDD1Z3N1l85FoWsoNPDhwc81mmfDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:25:10.216856Z"},"content_sha256":"fdf03391b24a33a127b17ee8607f8b5bdcf95904b8cea9202e397dbe29ebbede","schema_version":"1.0","event_id":"sha256:fdf03391b24a33a127b17ee8607f8b5bdcf95904b8cea9202e397dbe29ebbede"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NWJLF2OXF5NOFJJAVOYXORU7LX/bundle.json","state_url":"https://pith.science/pith/NWJLF2OXF5NOFJJAVOYXORU7LX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NWJLF2OXF5NOFJJAVOYXORU7LX/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":"2026-06-02T05:25:10Z","links":{"resolver":"https://pith.science/pith/NWJLF2OXF5NOFJJAVOYXORU7LX","bundle":"https://pith.science/pith/NWJLF2OXF5NOFJJAVOYXORU7LX/bundle.json","state":"https://pith.science/pith/NWJLF2OXF5NOFJJAVOYXORU7LX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NWJLF2OXF5NOFJJAVOYXORU7LX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NWJLF2OXF5NOFJJAVOYXORU7LX","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":"2274cb84a229a0c944c0a71b9688e298b79d1f14265262f47e9fe190474206e0","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-14T07:36:22Z","title_canon_sha256":"7dd8fb1f0bd9d23e2e07fce3df5ae1f3d2baf084c48501580a57a08fade1cd23"},"schema_version":"1.0","source":{"id":"1109.3009","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3009","created_at":"2026-05-18T04:13:06Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3009v1","created_at":"2026-05-18T04:13:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3009","created_at":"2026-05-18T04:13:06Z"},{"alias_kind":"pith_short_12","alias_value":"NWJLF2OXF5NO","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NWJLF2OXF5NOFJJA","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NWJLF2OX","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:fdf03391b24a33a127b17ee8607f8b5bdcf95904b8cea9202e397dbe29ebbede","target":"graph","created_at":"2026-05-18T04:13:06Z","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 Dirac monopole string is specified for de Sitter cosmological model. Dirac equation for spin 1/2 particle in presence of this monopole has been examined on the background of de Sitter space-time in static coordinates. Instead of spinor monopole harmonics, the technique of Wigner D-functions is used. After separation of the variables, detailed analysis of the radial equations is performed; four types of solutions, singular, regular, in- and out- running waves, are constructed in terms of hypergeometric functions. The complete set of spinor wave solutions \\Psi_{\\epsilon, j,m, \\lambda}(t,r, \\","authors_text":"E.M. Ovsiyuk, O.V. Veko, V.M. Red'kov","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-14T07:36:22Z","title":"Spin 1/2 particle in the field of the Dirac string on the background of de Sitter space-time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3009","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":"sha256:171c3ec06fc700d5f6a08b268710268871bf1fbdf8c96a25ad4da32066dda508","target":"record","created_at":"2026-05-18T04:13:06Z","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":"2274cb84a229a0c944c0a71b9688e298b79d1f14265262f47e9fe190474206e0","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-14T07:36:22Z","title_canon_sha256":"7dd8fb1f0bd9d23e2e07fce3df5ae1f3d2baf084c48501580a57a08fade1cd23"},"schema_version":"1.0","source":{"id":"1109.3009","kind":"arxiv","version":1}},"canonical_sha256":"6d92b2e9d72f5ae2a520abb177469f5dfb991481bbef1987260699c198c1f87f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d92b2e9d72f5ae2a520abb177469f5dfb991481bbef1987260699c198c1f87f","first_computed_at":"2026-05-18T04:13:06.488597Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:06.488597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"075C1SyMqvFDEmHKf5by3tAmuRbZM2x1R7VxeunRJBpIgqlwadTYMEgyqzmnwda3kBzGwplBd+11SU6nVExiDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:06.488987Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.3009","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:171c3ec06fc700d5f6a08b268710268871bf1fbdf8c96a25ad4da32066dda508","sha256:fdf03391b24a33a127b17ee8607f8b5bdcf95904b8cea9202e397dbe29ebbede"],"state_sha256":"dc60fed1691f5ed97d41fe1d4319176a1451d05855ace2d57bcafde024a48cd5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mIJpWlk8afs2mg5jxG5fUYzCTCutt0d3ZP/qozZ7I0rV3SddVZhTusHAWI5fw1R9UpPbGbj9BoA+2+M8yx0/Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T05:25:10.218845Z","bundle_sha256":"a2b1c77bc4169a9230527a8c7e0b6e52970873b83fde610c4d7a7912f4639458"}}