{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:QRTM7MVYTZNWS2I2FICVZTOP52","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":"61894759c32e30dfd3ec6cf29dac47e427ad43dc2e50acaa30ba7e7afc2fbf24","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-06-09T15:52:28Z","title_canon_sha256":"a57f424dfbfd1e2eae3702ab9df16e527596d7d337902024641c8f7e4f027024"},"schema_version":"1.0","source":{"id":"hep-th/9806072","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9806072","created_at":"2026-07-04T14:33:13Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9806072v1","created_at":"2026-07-04T14:33:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9806072","created_at":"2026-07-04T14:33:13Z"},{"alias_kind":"pith_short_12","alias_value":"QRTM7MVYTZNW","created_at":"2026-07-04T14:33:13Z"},{"alias_kind":"pith_short_16","alias_value":"QRTM7MVYTZNWS2I2","created_at":"2026-07-04T14:33:13Z"},{"alias_kind":"pith_short_8","alias_value":"QRTM7MVY","created_at":"2026-07-04T14:33:13Z"}],"graph_snapshots":[{"event_id":"sha256:d8e09f825066a1bf80244acbf043f190804790bf7ae1aa372661f9bb69438cb6","target":"graph","created_at":"2026-07-04T14:33:13Z","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/9806072/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that $p$-forms on $AdS_{2p+1}$ describe both singletons and massless particles. On the $2p$-dimensional boundary the singleton $p$-form Lagrangian reduces to the conformally invariant functional $\\int F^2$. All the representations, singletons as well as massless, are zero center modules and involve a vacuum mode. Two- and three-form singleton fields are required by supersymmetry in AdS$_5$ and AdS$_7$ supergravity respectively.","authors_text":"C. Fronsdal, S. Ferrara","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1998-06-09T15:52:28Z","title":"Gauge Fields and Singletons of $AdS_{2p+1}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9806072","kind":"arxiv","version":1},"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:d809d104f8bc4bd95e2d0d8f4d33b7da22d4f186a0797040e73232acac437fb2","target":"record","created_at":"2026-07-04T14:33:13Z","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":"61894759c32e30dfd3ec6cf29dac47e427ad43dc2e50acaa30ba7e7afc2fbf24","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-06-09T15:52:28Z","title_canon_sha256":"a57f424dfbfd1e2eae3702ab9df16e527596d7d337902024641c8f7e4f027024"},"schema_version":"1.0","source":{"id":"hep-th/9806072","kind":"arxiv","version":1}},"canonical_sha256":"8466cfb2b89e5b69691a2a055ccdcfeeb09b7e62de84db6b69bf2e5bc5f957d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8466cfb2b89e5b69691a2a055ccdcfeeb09b7e62de84db6b69bf2e5bc5f957d4","first_computed_at":"2026-07-04T14:33:13.243281Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:33:13.243281Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IfngVmVW++Dvf65dSsmwEtNAdwucFORxodouz7BVQW4Sz/7FDGRQDU8OVikz7yMBx+rjhXEDH7cRqlBtRIBcAw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:33:13.243623Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9806072","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d809d104f8bc4bd95e2d0d8f4d33b7da22d4f186a0797040e73232acac437fb2","sha256:d8e09f825066a1bf80244acbf043f190804790bf7ae1aa372661f9bb69438cb6"],"state_sha256":"1f206e8b2f018e5dcad8a17835d6cc5a469805500c65951c52346f3f52bcb11e"}