{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:C67BNFSO3YY6MSBKTJZZIIIWVH","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":"1cbeb4362c358e344bd91a1a3c2984377c2581dbae8d6dbcb7306cc9d3421a5b","cross_cats_sorted":["math-ph","math.CV","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-03-24T05:05:39Z","title_canon_sha256":"2700a6c09c9075787537a69ce9328c46f866dfc977e42cb40c40cdbfd2dbc6e7"},"schema_version":"1.0","source":{"id":"1603.07441","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07441","created_at":"2026-05-18T00:55:52Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07441v5","created_at":"2026-05-18T00:55:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07441","created_at":"2026-05-18T00:55:52Z"},{"alias_kind":"pith_short_12","alias_value":"C67BNFSO3YY6","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"C67BNFSO3YY6MSBK","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"C67BNFSO","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:cd31291fdff637c364b903b65817181a99c56c7a20b0c77bc2f731b33a64f1f8","target":"graph","created_at":"2026-05-18T00:55:52Z","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":"This paper completes the construction of arbitrary order conformally invariant differential operators in higher spin spaces. Jan Slov\\'{a}k has classified all conformally invariant differential operators on locally conformally flat manifolds. We complete his results in higher spin theory by giving explicit expressions for arbitrary order conformally invariant differential operators, where by conformally invariant we mean equivariant with respect to the conformal group of $\\mathbb{S}^m$ acting in Euclidean space $\\mathbb{R}^m$. We name these the fermionic operators when the order is odd and bos","authors_text":"Chao Ding, John Ryan, Raymond Walter","cross_cats":["math-ph","math.CV","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-03-24T05:05:39Z","title":"Construction of Arbitrary Order Conformally Invariant Operators in Higher Spin Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07441","kind":"arxiv","version":5},"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":"sha256:852850078b7776ccfbcae93b5f46b47f2f3f78511179234e178b9918561716cd","target":"record","created_at":"2026-05-18T00:55:52Z","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":"1cbeb4362c358e344bd91a1a3c2984377c2581dbae8d6dbcb7306cc9d3421a5b","cross_cats_sorted":["math-ph","math.CV","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-03-24T05:05:39Z","title_canon_sha256":"2700a6c09c9075787537a69ce9328c46f866dfc977e42cb40c40cdbfd2dbc6e7"},"schema_version":"1.0","source":{"id":"1603.07441","kind":"arxiv","version":5}},"canonical_sha256":"17be16964ede31e6482a9a73942116a9c7c382effa5c2558721d38218618813d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17be16964ede31e6482a9a73942116a9c7c382effa5c2558721d38218618813d","first_computed_at":"2026-05-18T00:55:52.044565Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:52.044565Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qvb0kRaqITdFKAod7ZsGD5gRkBYKSgE/UWvs3J3tSEMiH1DtUrdT/G/J25S5pX5raVgQRnMYNhKuVd8M5MkxBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:52.045044Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.07441","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:852850078b7776ccfbcae93b5f46b47f2f3f78511179234e178b9918561716cd","sha256:cd31291fdff637c364b903b65817181a99c56c7a20b0c77bc2f731b33a64f1f8"],"state_sha256":"12563a045f793b160df16fbb1a358582e1e740ccbc08618cf16f1a74be6dce7d"}