{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:S62DCNPPTUTIGRJI6GSYZBPK6Y","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":"b23fb78ac1d30fc10fdef27b214e49d433d49cbbe247033b9167bf276236b5e3","cross_cats_sorted":["cond-mat","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2003-09-17T17:15:35Z","title_canon_sha256":"6e1c14c38b5103fccfeab32c89da0ef838b72678a7c6b2c06373ddea616b4724"},"schema_version":"1.0","source":{"id":"hep-th/0309177","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0309177","created_at":"2026-07-04T16:41:23Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0309177v2","created_at":"2026-07-04T16:41:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0309177","created_at":"2026-07-04T16:41:23Z"},{"alias_kind":"pith_short_12","alias_value":"S62DCNPPTUTI","created_at":"2026-07-04T16:41:23Z"},{"alias_kind":"pith_short_16","alias_value":"S62DCNPPTUTIGRJI","created_at":"2026-07-04T16:41:23Z"},{"alias_kind":"pith_short_8","alias_value":"S62DCNPP","created_at":"2026-07-04T16:41:23Z"}],"graph_snapshots":[{"event_id":"sha256:fca26aa5ef87e2d3f5da2acbf51695404b5d408fec5531577a509bb61c917224","target":"graph","created_at":"2026-07-04T16:41:23Z","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/0309177/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that there is a natural action of SL(2,Z) on the two-point functions of the energy momentum tensor and of higher-spin conserved currents in three-dimensional CFTs. The dynamics behind the S-operation of SL(2,Z) is that of an irrelevant current-current deformation and we point out its similarity to the dynamics of a wide class of three-dimensional CFTs. The holographic interpretation of our results raises the possibility that many three-dimensional CFTs have duals on AdS4 with SL(2,Z) duality properties at the linearized level.","authors_text":"Anastasios C. Petkou, Robert G. Leigh","cross_cats":["cond-mat","hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-09-17T17:15:35Z","title":"SL(2,Z) Action on Three-Dimensional CFTs and Holography"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0309177","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":"sha256:7a7025ac87165de84a7c0fd6b4354140c7e786e820244bc7f5a7596901259d58","target":"record","created_at":"2026-07-04T16:41:23Z","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":"b23fb78ac1d30fc10fdef27b214e49d433d49cbbe247033b9167bf276236b5e3","cross_cats_sorted":["cond-mat","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2003-09-17T17:15:35Z","title_canon_sha256":"6e1c14c38b5103fccfeab32c89da0ef838b72678a7c6b2c06373ddea616b4724"},"schema_version":"1.0","source":{"id":"hep-th/0309177","kind":"arxiv","version":2}},"canonical_sha256":"97b43135ef9d26834528f1a58c85eaf63afec5907743c5a04e37055ddb4fbbfa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97b43135ef9d26834528f1a58c85eaf63afec5907743c5a04e37055ddb4fbbfa","first_computed_at":"2026-07-04T16:41:23.759212Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:41:23.759212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tLwb0Z4NUP+W0QXXQxSSTee71rv6RtdCAu/1az7FpSPoCQIwQTxUONBuOTZVkxGbxXrxny3SUEJt9ArIJKhpAw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:41:23.759572Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0309177","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a7025ac87165de84a7c0fd6b4354140c7e786e820244bc7f5a7596901259d58","sha256:fca26aa5ef87e2d3f5da2acbf51695404b5d408fec5531577a509bb61c917224"],"state_sha256":"475aef3fbd69c6eb9c08c2e71437da4967518bbd0149c2782d9afdc477be1a69"}