{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:XQ5JG5633HC42IPB7ZT2OIXAQI","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":"a047ecbc5428a94bcc560ff3c20819cceb4cf6572f055f7427a57ef8468fc8e7","cross_cats_sorted":["hep-th","math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"1998-09-16T00:56:03Z","title_canon_sha256":"5f0ab333fcda8c9ba29b14651991361c718bd0d8efbb501b95186721c4c991fb"},"schema_version":"1.0","source":{"id":"math-ph/9809014","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/9809014","created_at":"2026-07-04T14:34:08Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/9809014v3","created_at":"2026-07-04T14:34:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/9809014","created_at":"2026-07-04T14:34:08Z"},{"alias_kind":"pith_short_12","alias_value":"XQ5JG5633HC4","created_at":"2026-07-04T14:34:08Z"},{"alias_kind":"pith_short_16","alias_value":"XQ5JG5633HC42IPB","created_at":"2026-07-04T14:34:08Z"},{"alias_kind":"pith_short_8","alias_value":"XQ5JG563","created_at":"2026-07-04T14:34:08Z"}],"graph_snapshots":[{"event_id":"sha256:9d103d680c17d6e0746f9101cdef00da9ea8ddf46661dcf304ac285c58bb38d7","target":"graph","created_at":"2026-07-04T14:34:08Z","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/math-ph/9809014/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study solutions of the equations $(\\triangle -\\lambda)\\phi = 0$ and $(\\triangle -\\lambda)^2\\phi = 0$ in global coordinates on the covering space $CAdS_d$ of the $d$-dimensional Anti de-Sitter space subject to various boundary conditions and their connection to the unitary irreducible representations of $\\widetilde{SO}(d-1,2)$. The ``vanishing flux'' boundary conditions at spatial infinity lead to the standard quantization scheme for $CAdS_d$ in which solutions of the second- and the fourth-order equations are equivalent. To include fields realizing the singleton unitary representation in th","authors_text":"Andrei Starinets","cross_cats":["hep-th","math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"1998-09-16T00:56:03Z","title":"Singleton field theory and Flato - Fronsdal dipole equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/9809014","kind":"arxiv","version":3},"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":"sha256:17f96c9073c6a41bc0ea84b35f31b003b036a0ae29f8fc5d360156f087e71d75","target":"record","created_at":"2026-07-04T14:34:08Z","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":"a047ecbc5428a94bcc560ff3c20819cceb4cf6572f055f7427a57ef8468fc8e7","cross_cats_sorted":["hep-th","math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"1998-09-16T00:56:03Z","title_canon_sha256":"5f0ab333fcda8c9ba29b14651991361c718bd0d8efbb501b95186721c4c991fb"},"schema_version":"1.0","source":{"id":"math-ph/9809014","kind":"arxiv","version":3}},"canonical_sha256":"bc3a9377dbd9c5cd21e1fe67a722e0820e166ff16fa75c18746f617d9095a36c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc3a9377dbd9c5cd21e1fe67a722e0820e166ff16fa75c18746f617d9095a36c","first_computed_at":"2026-07-04T14:34:08.654232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:34:08.654232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UepZEUopiIeCPIpsSb3ZwIVvLj/63pQwgZ3FAR54Nk/+jIa+BwzUIRY6A9aX0juTWuP3ol5kE7vvSoWAfR4QBA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:34:08.654615Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/9809014","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17f96c9073c6a41bc0ea84b35f31b003b036a0ae29f8fc5d360156f087e71d75","sha256:9d103d680c17d6e0746f9101cdef00da9ea8ddf46661dcf304ac285c58bb38d7"],"state_sha256":"ba0c95a1cfd8f863c0e132a8cc87d791eeec1bb850febd05a4afe6ddac884f80"}