{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:S6ZHHRHADWCVDZLYLHAEHRDJHP","short_pith_number":"pith:S6ZHHRHA","schema_version":"1.0","canonical_sha256":"97b273c4e01d8551e57859c043c4693bf237405ac802b94c7859d410fd5a2cb1","source":{"kind":"arxiv","id":"1502.05685","version":6},"attestation_state":"computed","paper":{"title":"A Clifford Bundle Approach to the Wave Equation of a Spin 1/2 Fermion in the de Sitter Manifold","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"E. A. Notte-Cuello, I. Kondrashuk, M. Rivera-Tapia, S. A. Wainer, W. A. Rodrigues Jr.","submitted_at":"2015-02-19T20:02:12Z","abstract_excerpt":"In this paper we give a Clifford bundle motivated approach to the wave equation of a free spin $1/2$ fermion in the de Sitter manifold, a brane with topology $M=\\mathrm{S0}(4,1)/\\mathrm{S0}(3,1)$ living in the bulk spacetime $\\mathbb{R}^{4,1}=(\\mathring{M}=\\mathbb{R}^{5},\\boldsymbol{\\mathring{g}})$ and equipped with a metric field $\\boldsymbol{g:=-i}^{\\ast}\\boldsymbol{\\mathring{g}%}$ with $\\boldsymbol{i}:M\\rightarrow\\mathring{M}$ being the inclusion map. To obtain the analog of Dirac equation in Minkowski spacetime in the structure $\\mathring{M}$ we appropriately factorize the two Casimir inva"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1502.05685","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-02-19T20:02:12Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"7587cb8834914369a6b16335468d8c2090d92fe613d9657a3113dc8b47bfd774","abstract_canon_sha256":"aeefe8cc05cf4198f03632a84fe4db30cdf871f2ff81a736ec0708b31071a0ef"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:10.668225Z","signature_b64":"kpes8AV9W+8gjgW+cJeNDHpzagbaNqLpLl0JN5wmNMqFbrYya0G2qlnTBCQSkUPa2Wdg6KmKPuMTZoTnNNW2AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97b273c4e01d8551e57859c043c4693bf237405ac802b94c7859d410fd5a2cb1","last_reissued_at":"2026-05-18T00:56:10.667751Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:10.667751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Clifford Bundle Approach to the Wave Equation of a Spin 1/2 Fermion in the de Sitter Manifold","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"E. A. Notte-Cuello, I. Kondrashuk, M. Rivera-Tapia, S. A. Wainer, W. A. Rodrigues Jr.","submitted_at":"2015-02-19T20:02:12Z","abstract_excerpt":"In this paper we give a Clifford bundle motivated approach to the wave equation of a free spin $1/2$ fermion in the de Sitter manifold, a brane with topology $M=\\mathrm{S0}(4,1)/\\mathrm{S0}(3,1)$ living in the bulk spacetime $\\mathbb{R}^{4,1}=(\\mathring{M}=\\mathbb{R}^{5},\\boldsymbol{\\mathring{g}})$ and equipped with a metric field $\\boldsymbol{g:=-i}^{\\ast}\\boldsymbol{\\mathring{g}%}$ with $\\boldsymbol{i}:M\\rightarrow\\mathring{M}$ being the inclusion map. To obtain the analog of Dirac equation in Minkowski spacetime in the structure $\\mathring{M}$ we appropriately factorize the two Casimir inva"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05685","kind":"arxiv","version":6},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1502.05685","created_at":"2026-05-18T00:56:10.667829+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.05685v6","created_at":"2026-05-18T00:56:10.667829+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05685","created_at":"2026-05-18T00:56:10.667829+00:00"},{"alias_kind":"pith_short_12","alias_value":"S6ZHHRHADWCV","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"S6ZHHRHADWCVDZLY","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"S6ZHHRHA","created_at":"2026-05-18T12:29:39.896362+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/S6ZHHRHADWCVDZLYLHAEHRDJHP","json":"https://pith.science/pith/S6ZHHRHADWCVDZLYLHAEHRDJHP.json","graph_json":"https://pith.science/api/pith-number/S6ZHHRHADWCVDZLYLHAEHRDJHP/graph.json","events_json":"https://pith.science/api/pith-number/S6ZHHRHADWCVDZLYLHAEHRDJHP/events.json","paper":"https://pith.science/paper/S6ZHHRHA"},"agent_actions":{"view_html":"https://pith.science/pith/S6ZHHRHADWCVDZLYLHAEHRDJHP","download_json":"https://pith.science/pith/S6ZHHRHADWCVDZLYLHAEHRDJHP.json","view_paper":"https://pith.science/paper/S6ZHHRHA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.05685&json=true","fetch_graph":"https://pith.science/api/pith-number/S6ZHHRHADWCVDZLYLHAEHRDJHP/graph.json","fetch_events":"https://pith.science/api/pith-number/S6ZHHRHADWCVDZLYLHAEHRDJHP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S6ZHHRHADWCVDZLYLHAEHRDJHP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S6ZHHRHADWCVDZLYLHAEHRDJHP/action/storage_attestation","attest_author":"https://pith.science/pith/S6ZHHRHADWCVDZLYLHAEHRDJHP/action/author_attestation","sign_citation":"https://pith.science/pith/S6ZHHRHADWCVDZLYLHAEHRDJHP/action/citation_signature","submit_replication":"https://pith.science/pith/S6ZHHRHADWCVDZLYLHAEHRDJHP/action/replication_record"}},"created_at":"2026-05-18T00:56:10.667829+00:00","updated_at":"2026-05-18T00:56:10.667829+00:00"}