{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:PTXNAMSQT4TJZUZDJQTLXB3AD6","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":"8d807ffe09b8b6c824af4f49430ef4123c9642ed03d0a2a9ef99a00fb1e87fe7","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"hep-th","submitted_at":"2004-10-28T15:29:16Z","title_canon_sha256":"c4f51bdd5a56aa3e11eb026cf35a78dcae5cb6cdd3eafad6861b15c011ce7b3f"},"schema_version":"1.0","source":{"id":"hep-th/0410277","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0410277","created_at":"2026-07-04T14:50:04Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0410277v2","created_at":"2026-07-04T14:50:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0410277","created_at":"2026-07-04T14:50:04Z"},{"alias_kind":"pith_short_12","alias_value":"PTXNAMSQT4TJ","created_at":"2026-07-04T14:50:04Z"},{"alias_kind":"pith_short_16","alias_value":"PTXNAMSQT4TJZUZD","created_at":"2026-07-04T14:50:04Z"},{"alias_kind":"pith_short_8","alias_value":"PTXNAMSQ","created_at":"2026-07-04T14:50:04Z"}],"graph_snapshots":[{"event_id":"sha256:f829fab1430c5640341b037d87cc1382682f02baef326fae65ec11c82bb1f541","target":"graph","created_at":"2026-07-04T14:50:04Z","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/hep-th/0410277/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study simple space-time symmetry groups G which act on a space-time manifold M=G/H which admits a G-invariant global causal structure. We classify pairs (G,M) which share the following additional properties of conformal field theory: 1) The stability subgroup H of a point in M is the identity component of a parabolic subgroup of G, implying factorization H=MAN, where M generalizes Lorentz transformations, A dilatations, and N special conformal transformations. 2) special conformal transformations in N act trivially on tangent vectors to the space-time manifold M. The allowed simple Lie grou","authors_text":"Gerhard Mack, Mathias de Riese","cross_cats":["math-ph","math.MP"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-10-28T15:29:16Z","title":"Simple Space-Time Symmetries: Generalizing Conformal Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0410277","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:fc3a0d1975fe9f061e3ed7453c6ffe697aedf8098568323af63bdde8d855a26e","target":"record","created_at":"2026-07-04T14:50:04Z","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":"8d807ffe09b8b6c824af4f49430ef4123c9642ed03d0a2a9ef99a00fb1e87fe7","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"hep-th","submitted_at":"2004-10-28T15:29:16Z","title_canon_sha256":"c4f51bdd5a56aa3e11eb026cf35a78dcae5cb6cdd3eafad6861b15c011ce7b3f"},"schema_version":"1.0","source":{"id":"hep-th/0410277","kind":"arxiv","version":2}},"canonical_sha256":"7ceed032509f269cd3234c26bb87601f97127e9a1198ca777087a5326976a4e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ceed032509f269cd3234c26bb87601f97127e9a1198ca777087a5326976a4e1","first_computed_at":"2026-07-04T14:50:04.846611Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:50:04.846611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Sv93tj9vRNjYklNSXHu7xWT4ZKtFZPdMqipAzenomjXsJ/oKk6k+yoe/36ndGRCbakYDk8XXL8R7OBtJ1UvADg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:50:04.847673Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0410277","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc3a0d1975fe9f061e3ed7453c6ffe697aedf8098568323af63bdde8d855a26e","sha256:f829fab1430c5640341b037d87cc1382682f02baef326fae65ec11c82bb1f541"],"state_sha256":"45aeb94be65ac32773d4ccfdc1fc57504617024e89b173561d3198b6f0a9f8d4"}