{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:HKXSWFSVW3TDESXY66TNUGMD7N","short_pith_number":"pith:HKXSWFSV","schema_version":"1.0","canonical_sha256":"3aaf2b1655b6e6324af8f7a6da1983fb4610d8d10391642f903d3379ccbcfac3","source":{"kind":"arxiv","id":"1106.1943","version":2},"attestation_state":"computed","paper":{"title":"Rarita-Schwinger Type Operators on Spheres and Real Projective Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Carmen J. Vanegas, John Ryan, Junxia Li","submitted_at":"2011-06-10T02:55:45Z","abstract_excerpt":"In this paper we deal with Rarita-Schwinger type operators on spheres and real projective space. First we define the spherical Rarita-Schwinger type operators and construct their fundamental solutions. Then we establish that the projection operators appearing in the spherical Rarita-Schwinger type operators and the spherical Rarita-Schwinger type equations are conformally invariant under the Cayley transformation. Further, we obtain some basic integral formulas related to the spherical Rarita-Schwinger type operators. Second, we define the Rarita-Schwinger type operators on the real projective"},"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":"1106.1943","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-06-10T02:55:45Z","cross_cats_sorted":[],"title_canon_sha256":"440faee7b767452c81606d036e2b18a7dd798581a6e7eb2a30263752dec51efb","abstract_canon_sha256":"7f9d544694f1f8a5850961d66c498dafa9f93f23187853a9da6a4a5cd3104c88"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:56.616774Z","signature_b64":"0Tzz4OjFzaaZ0qmL6a3ladISCgWfcREeIMpi/HkMhrC+1RWdE3TCyDroEKSZ9kqCU+3l7ZKkwiddCXaFdn1EDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3aaf2b1655b6e6324af8f7a6da1983fb4610d8d10391642f903d3379ccbcfac3","last_reissued_at":"2026-05-18T03:41:56.615983Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:56.615983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rarita-Schwinger Type Operators on Spheres and Real Projective Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Carmen J. Vanegas, John Ryan, Junxia Li","submitted_at":"2011-06-10T02:55:45Z","abstract_excerpt":"In this paper we deal with Rarita-Schwinger type operators on spheres and real projective space. First we define the spherical Rarita-Schwinger type operators and construct their fundamental solutions. Then we establish that the projection operators appearing in the spherical Rarita-Schwinger type operators and the spherical Rarita-Schwinger type equations are conformally invariant under the Cayley transformation. Further, we obtain some basic integral formulas related to the spherical Rarita-Schwinger type operators. Second, we define the Rarita-Schwinger type operators on the real projective"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.1943","kind":"arxiv","version":2},"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":"1106.1943","created_at":"2026-05-18T03:41:56.616115+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.1943v2","created_at":"2026-05-18T03:41:56.616115+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.1943","created_at":"2026-05-18T03:41:56.616115+00:00"},{"alias_kind":"pith_short_12","alias_value":"HKXSWFSVW3TD","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_16","alias_value":"HKXSWFSVW3TDESXY","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_8","alias_value":"HKXSWFSV","created_at":"2026-05-18T12:26:30.835961+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/HKXSWFSVW3TDESXY66TNUGMD7N","json":"https://pith.science/pith/HKXSWFSVW3TDESXY66TNUGMD7N.json","graph_json":"https://pith.science/api/pith-number/HKXSWFSVW3TDESXY66TNUGMD7N/graph.json","events_json":"https://pith.science/api/pith-number/HKXSWFSVW3TDESXY66TNUGMD7N/events.json","paper":"https://pith.science/paper/HKXSWFSV"},"agent_actions":{"view_html":"https://pith.science/pith/HKXSWFSVW3TDESXY66TNUGMD7N","download_json":"https://pith.science/pith/HKXSWFSVW3TDESXY66TNUGMD7N.json","view_paper":"https://pith.science/paper/HKXSWFSV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.1943&json=true","fetch_graph":"https://pith.science/api/pith-number/HKXSWFSVW3TDESXY66TNUGMD7N/graph.json","fetch_events":"https://pith.science/api/pith-number/HKXSWFSVW3TDESXY66TNUGMD7N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HKXSWFSVW3TDESXY66TNUGMD7N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HKXSWFSVW3TDESXY66TNUGMD7N/action/storage_attestation","attest_author":"https://pith.science/pith/HKXSWFSVW3TDESXY66TNUGMD7N/action/author_attestation","sign_citation":"https://pith.science/pith/HKXSWFSVW3TDESXY66TNUGMD7N/action/citation_signature","submit_replication":"https://pith.science/pith/HKXSWFSVW3TDESXY66TNUGMD7N/action/replication_record"}},"created_at":"2026-05-18T03:41:56.616115+00:00","updated_at":"2026-05-18T03:41:56.616115+00:00"}