{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:22DWBZ6I46C2VURPVBXFI34PM6","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":"404d9dabcef7d4829548a7483a954c7e0dd5e3f52330b736269f88efb5f938d5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-11-08T15:56:36Z","title_canon_sha256":"61bd5ee4ab1c7a47d3d4a6a4af133d951a56287f9deb84450c09756f9f3532db"},"schema_version":"1.0","source":{"id":"2111.04591","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.04591","created_at":"2026-07-05T09:48:10Z"},{"alias_kind":"arxiv_version","alias_value":"2111.04591v2","created_at":"2026-07-05T09:48:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.04591","created_at":"2026-07-05T09:48:10Z"},{"alias_kind":"pith_short_12","alias_value":"22DWBZ6I46C2","created_at":"2026-07-05T09:48:10Z"},{"alias_kind":"pith_short_16","alias_value":"22DWBZ6I46C2VURP","created_at":"2026-07-05T09:48:10Z"},{"alias_kind":"pith_short_8","alias_value":"22DWBZ6I","created_at":"2026-07-05T09:48:10Z"}],"graph_snapshots":[{"event_id":"sha256:54007f3e9dd582f26edcdc1a2137f29aa9a620b18030b9742a9cf6eb1b449771","target":"graph","created_at":"2026-07-05T09:48:10Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2111.04591/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"$\\text{SO}(1, d+1)$ is the isometry group of $(d+1)$-dimensional de Sitter spacetime $\\text{dS}_{d+1}$ and the conformal group of $\\mathbb{R}^{d}$. This note gives a pedagogical introduction to the representation theory of $\\text{SO}(1, d+1)$, from the perspective of de Sitter quantum field theory and using tools from conformal field theory. Topics include (1) the construction and classification of all unitary irreducible representations (UIRs) of $\\text{SO}(1,2)$ and $\\text{SL}(2,\\mathbb R)$, (2) the construction and classification of all UIRs of $\\text{SO}(1,d+1)$ that describe integer-spin ","authors_text":"Zimo Sun","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-11-08T15:56:36Z","title":"A note on the representations of $\\text{SO}(1,d+1)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.04591","kind":"arxiv","version":2},"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:c03cf3d678b730ebfb3ac1b8cadd1747a5545821b22b6587efe7a03669331cf2","target":"record","created_at":"2026-07-05T09:48:10Z","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":"404d9dabcef7d4829548a7483a954c7e0dd5e3f52330b736269f88efb5f938d5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-11-08T15:56:36Z","title_canon_sha256":"61bd5ee4ab1c7a47d3d4a6a4af133d951a56287f9deb84450c09756f9f3532db"},"schema_version":"1.0","source":{"id":"2111.04591","kind":"arxiv","version":2}},"canonical_sha256":"d68760e7c8e785aad22fa86e546f8f678d07b012e5caa1eec4306848675969f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d68760e7c8e785aad22fa86e546f8f678d07b012e5caa1eec4306848675969f4","first_computed_at":"2026-07-05T09:48:10.290527Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:48:10.290527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d9LUPZl/BexefZE7qfy24/MK2YzqkhOM4uXWKxw8ei7DkRDcBkmWloBsaW+xHLvOBkJEfb7DfDP62VZQQcjeCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:48:10.290884Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.04591","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c03cf3d678b730ebfb3ac1b8cadd1747a5545821b22b6587efe7a03669331cf2","sha256:54007f3e9dd582f26edcdc1a2137f29aa9a620b18030b9742a9cf6eb1b449771"],"state_sha256":"dea288b371ab6904bd302e10c757df376f299e5c11e9a6fe1485f68be770c737"}