{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:M2Z7WVIKAH5EW6JJHFOUN6LF7Y","short_pith_number":"pith:M2Z7WVIK","canonical_record":{"source":{"id":"hep-th/0507146","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-07-14T18:28:00Z","cross_cats_sorted":[],"title_canon_sha256":"118c16d483359a5c07fb955f0ac2f53d888de49e53127bdf1db18b063bf8151d","abstract_canon_sha256":"c8f4cf9584a43b81e4496361839d0e67e7f6b6b8c4a1b1ba34e5d8103336d145"},"schema_version":"1.0"},"canonical_sha256":"66b3fb550a01fa4b7929395d46f965fe37bf4e9605fa86ff43d021b3dbb7f9ec","source":{"kind":"arxiv","id":"hep-th/0507146","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0507146","created_at":"2026-07-04T15:31:42Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0507146v1","created_at":"2026-07-04T15:31:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0507146","created_at":"2026-07-04T15:31:42Z"},{"alias_kind":"pith_short_12","alias_value":"M2Z7WVIKAH5E","created_at":"2026-07-04T15:31:42Z"},{"alias_kind":"pith_short_16","alias_value":"M2Z7WVIKAH5EW6JJ","created_at":"2026-07-04T15:31:42Z"},{"alias_kind":"pith_short_8","alias_value":"M2Z7WVIK","created_at":"2026-07-04T15:31:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:M2Z7WVIKAH5EW6JJHFOUN6LF7Y","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0507146","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-07-14T18:28:00Z","cross_cats_sorted":[],"title_canon_sha256":"118c16d483359a5c07fb955f0ac2f53d888de49e53127bdf1db18b063bf8151d","abstract_canon_sha256":"c8f4cf9584a43b81e4496361839d0e67e7f6b6b8c4a1b1ba34e5d8103336d145"},"schema_version":"1.0"},"canonical_sha256":"66b3fb550a01fa4b7929395d46f965fe37bf4e9605fa86ff43d021b3dbb7f9ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:31:42.499185Z","signature_b64":"0ONSpKFN4pZ3ytlrELPGokGusrwcvi970YYuxq21wqRLXXvLTnEPlunHhz4DH/GJH9IgrizoDn+tNcwAT2d1BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66b3fb550a01fa4b7929395d46f965fe37bf4e9605fa86ff43d021b3dbb7f9ec","last_reissued_at":"2026-07-04T15:31:42.498792Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:31:42.498792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0507146","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:31:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oy1K6WWT0oVoP170A89p0EXGUvvVaUrkZQ0IPOKnYRQQuZzorf+l3gKJLBjAwdTE9jbRoSOhugqWI2u5kIJhDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T00:29:25.492407Z"},"content_sha256":"7e0effb471b725c406eba5d4c00a3ca5ec108be619826a1799ab85dbd4445a0b","schema_version":"1.0","event_id":"sha256:7e0effb471b725c406eba5d4c00a3ca5ec108be619826a1799ab85dbd4445a0b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:M2Z7WVIKAH5EW6JJHFOUN6LF7Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Current Correlators and AdS/CFT Geometry","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Edwin Barnes, Elie Gorbatov, Jason Wright, Ken Intriligator","submitted_at":"2005-07-14T18:28:00Z","abstract_excerpt":"We consider current-current correlators in 4d $\\N =1$ SCFTs, and also 3d $\\N =2$ SCFTs, in connection with AdS/CFT geometry. The superconformal $U(1)_R$ symmetry of the SCFT has the distinguishing property that, among all possibilities, it minimizes the coefficient, $\\tau_{RR}$ of its two-point function. We show that the geometric Z-minimization condition of Martelli, Sparks, and Yau precisely implements $\\tau_{RR}$ minimization. This gives a physical proof that Z-minimization in geometry indeed correctly determines the superconformal R-charges of the field theory dual. We further discuss and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0507146","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0507146/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:31:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1QQjIUuMXqX1sXWkNfqqD7sQwXHGAmjoSLuR6uzrLD7/im2iPRbBDak2NRHKGsnocMa18BsDxsstlhLh7rBODQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T00:29:25.492912Z"},"content_sha256":"d9ad7600e3caa6fd7403dc6491b0bc512edd1521c45f5b1233a497b56e65d924","schema_version":"1.0","event_id":"sha256:d9ad7600e3caa6fd7403dc6491b0bc512edd1521c45f5b1233a497b56e65d924"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M2Z7WVIKAH5EW6JJHFOUN6LF7Y/bundle.json","state_url":"https://pith.science/pith/M2Z7WVIKAH5EW6JJHFOUN6LF7Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M2Z7WVIKAH5EW6JJHFOUN6LF7Y/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-11T00:29:25Z","links":{"resolver":"https://pith.science/pith/M2Z7WVIKAH5EW6JJHFOUN6LF7Y","bundle":"https://pith.science/pith/M2Z7WVIKAH5EW6JJHFOUN6LF7Y/bundle.json","state":"https://pith.science/pith/M2Z7WVIKAH5EW6JJHFOUN6LF7Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M2Z7WVIKAH5EW6JJHFOUN6LF7Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:M2Z7WVIKAH5EW6JJHFOUN6LF7Y","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":"c8f4cf9584a43b81e4496361839d0e67e7f6b6b8c4a1b1ba34e5d8103336d145","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-07-14T18:28:00Z","title_canon_sha256":"118c16d483359a5c07fb955f0ac2f53d888de49e53127bdf1db18b063bf8151d"},"schema_version":"1.0","source":{"id":"hep-th/0507146","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0507146","created_at":"2026-07-04T15:31:42Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0507146v1","created_at":"2026-07-04T15:31:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0507146","created_at":"2026-07-04T15:31:42Z"},{"alias_kind":"pith_short_12","alias_value":"M2Z7WVIKAH5E","created_at":"2026-07-04T15:31:42Z"},{"alias_kind":"pith_short_16","alias_value":"M2Z7WVIKAH5EW6JJ","created_at":"2026-07-04T15:31:42Z"},{"alias_kind":"pith_short_8","alias_value":"M2Z7WVIK","created_at":"2026-07-04T15:31:42Z"}],"graph_snapshots":[{"event_id":"sha256:d9ad7600e3caa6fd7403dc6491b0bc512edd1521c45f5b1233a497b56e65d924","target":"graph","created_at":"2026-07-04T15:31:42Z","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/0507146/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider current-current correlators in 4d $\\N =1$ SCFTs, and also 3d $\\N =2$ SCFTs, in connection with AdS/CFT geometry. The superconformal $U(1)_R$ symmetry of the SCFT has the distinguishing property that, among all possibilities, it minimizes the coefficient, $\\tau_{RR}$ of its two-point function. We show that the geometric Z-minimization condition of Martelli, Sparks, and Yau precisely implements $\\tau_{RR}$ minimization. This gives a physical proof that Z-minimization in geometry indeed correctly determines the superconformal R-charges of the field theory dual. We further discuss and ","authors_text":"Edwin Barnes, Elie Gorbatov, Jason Wright, Ken Intriligator","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-07-14T18:28:00Z","title":"Current Correlators and AdS/CFT Geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0507146","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":"sha256:7e0effb471b725c406eba5d4c00a3ca5ec108be619826a1799ab85dbd4445a0b","target":"record","created_at":"2026-07-04T15:31:42Z","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":"c8f4cf9584a43b81e4496361839d0e67e7f6b6b8c4a1b1ba34e5d8103336d145","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-07-14T18:28:00Z","title_canon_sha256":"118c16d483359a5c07fb955f0ac2f53d888de49e53127bdf1db18b063bf8151d"},"schema_version":"1.0","source":{"id":"hep-th/0507146","kind":"arxiv","version":1}},"canonical_sha256":"66b3fb550a01fa4b7929395d46f965fe37bf4e9605fa86ff43d021b3dbb7f9ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66b3fb550a01fa4b7929395d46f965fe37bf4e9605fa86ff43d021b3dbb7f9ec","first_computed_at":"2026-07-04T15:31:42.498792Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:31:42.498792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0ONSpKFN4pZ3ytlrELPGokGusrwcvi970YYuxq21wqRLXXvLTnEPlunHhz4DH/GJH9IgrizoDn+tNcwAT2d1BA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:31:42.499185Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0507146","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e0effb471b725c406eba5d4c00a3ca5ec108be619826a1799ab85dbd4445a0b","sha256:d9ad7600e3caa6fd7403dc6491b0bc512edd1521c45f5b1233a497b56e65d924"],"state_sha256":"3b5cd9916aeb61886f121b9fbe751262987525c90ab50e7fdf0d900a1a635cf6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bihn36vr+yHjS2Ytd4wxlu1V5gzbl6IIcuQJTv6JLxUZPJAtsZyUkT0gPqMnKsnhpuzXkGFrs+GjNYgBLCk5DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T00:29:25.496812Z","bundle_sha256":"e2b3265980171435574914856d61d1e01636905074793654578dd2bd6e800045"}}