{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:YR6HDLC4XX3FQ7BP7P2IEJWMGQ","short_pith_number":"pith:YR6HDLC4","canonical_record":{"source":{"id":"2409.15410","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-09-23T18:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"ce770430529935e583260e9485fc404eb8e00633e085050d7c37e84e0f96a483","abstract_canon_sha256":"2032d5acca57eb45789ace32b897e6edc2808a6236cee47b97379423d1fb2391"},"schema_version":"1.0"},"canonical_sha256":"c47c71ac5cbdf6587c2ffbf48226cc34249cf0683d26bda815a4cac29672117b","source":{"kind":"arxiv","id":"2409.15410","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.15410","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"arxiv_version","alias_value":"2409.15410v3","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.15410","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"pith_short_12","alias_value":"YR6HDLC4XX3F","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"pith_short_16","alias_value":"YR6HDLC4XX3FQ7BP","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"pith_short_8","alias_value":"YR6HDLC4","created_at":"2026-07-05T09:59:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:YR6HDLC4XX3FQ7BP7P2IEJWMGQ","target":"record","payload":{"canonical_record":{"source":{"id":"2409.15410","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-09-23T18:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"ce770430529935e583260e9485fc404eb8e00633e085050d7c37e84e0f96a483","abstract_canon_sha256":"2032d5acca57eb45789ace32b897e6edc2808a6236cee47b97379423d1fb2391"},"schema_version":"1.0"},"canonical_sha256":"c47c71ac5cbdf6587c2ffbf48226cc34249cf0683d26bda815a4cac29672117b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:59:00.024085Z","signature_b64":"ToClrbg3xmhb88JsxC2R5Ex6yc7H4Q9+0CaHPn3Mjei6PPezirIUgNI2W1q7TRAtFfocX+TC7y/21kseGhCOBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c47c71ac5cbdf6587c2ffbf48226cc34249cf0683d26bda815a4cac29672117b","last_reissued_at":"2026-07-05T09:59:00.023622Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:59:00.023622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.15410","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:59:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ibIsw3NehSNMq2fJSZxrVir2y7j2k6F9fY7J1tXvo9qN5gVm2zSlw0EdsGCG0b/32tTlmIMxNgOWo44YYOOZBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T01:41:04.993235Z"},"content_sha256":"892533bac27c7e287d269f2cf907835a685c4a3083ef760c8ff9e40d54fa8b78","schema_version":"1.0","event_id":"sha256:892533bac27c7e287d269f2cf907835a685c4a3083ef760c8ff9e40d54fa8b78"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:YR6HDLC4XX3FQ7BP7P2IEJWMGQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Revisiting Extremal Couplings in AdS/CFT","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alejandra Castro, Pedro J. Martinez","submitted_at":"2024-09-23T18:00:00Z","abstract_excerpt":"We consider an effective theory of massive scalar fields on a fixed AdS$_{d+1}$ background with a cubic extremal interaction among them. A bulk coupling is called extremal whenever the corresponding conformal dimension of any of the dual CFT$_d$ operators matches the sum of all the others. For cubic bulk couplings, this is $\\Delta_i+\\Delta_j=\\Delta_k$. These bulk interactions are often disregarded in the literature since they do not appear in traditional models of AdS/CFT. Turning them on yields a divergent vertex in the dual CFT, and here we show that these divergences can be regulated. Once "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.15410","kind":"arxiv","version":3},"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/2409.15410/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":"2026-07-05T09:59:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/ojlxjtOK8YU9fgk72cDYriPqaXQlZND3Y0xxyHdfs/wFl2Am8socKZFPZlrKKheFxPxeQ8DmqFcQT9xtxJGAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T01:41:04.993820Z"},"content_sha256":"6957de237783175ab67f8681862b622c61a6adcb93669fe6281bf23287c950e7","schema_version":"1.0","event_id":"sha256:6957de237783175ab67f8681862b622c61a6adcb93669fe6281bf23287c950e7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YR6HDLC4XX3FQ7BP7P2IEJWMGQ/bundle.json","state_url":"https://pith.science/pith/YR6HDLC4XX3FQ7BP7P2IEJWMGQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YR6HDLC4XX3FQ7BP7P2IEJWMGQ/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":"2026-08-09T01:41:04Z","links":{"resolver":"https://pith.science/pith/YR6HDLC4XX3FQ7BP7P2IEJWMGQ","bundle":"https://pith.science/pith/YR6HDLC4XX3FQ7BP7P2IEJWMGQ/bundle.json","state":"https://pith.science/pith/YR6HDLC4XX3FQ7BP7P2IEJWMGQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YR6HDLC4XX3FQ7BP7P2IEJWMGQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:YR6HDLC4XX3FQ7BP7P2IEJWMGQ","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":"2032d5acca57eb45789ace32b897e6edc2808a6236cee47b97379423d1fb2391","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-09-23T18:00:00Z","title_canon_sha256":"ce770430529935e583260e9485fc404eb8e00633e085050d7c37e84e0f96a483"},"schema_version":"1.0","source":{"id":"2409.15410","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.15410","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"arxiv_version","alias_value":"2409.15410v3","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.15410","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"pith_short_12","alias_value":"YR6HDLC4XX3F","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"pith_short_16","alias_value":"YR6HDLC4XX3FQ7BP","created_at":"2026-07-05T09:59:00Z"},{"alias_kind":"pith_short_8","alias_value":"YR6HDLC4","created_at":"2026-07-05T09:59:00Z"}],"graph_snapshots":[{"event_id":"sha256:6957de237783175ab67f8681862b622c61a6adcb93669fe6281bf23287c950e7","target":"graph","created_at":"2026-07-05T09:59:00Z","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/2409.15410/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider an effective theory of massive scalar fields on a fixed AdS$_{d+1}$ background with a cubic extremal interaction among them. A bulk coupling is called extremal whenever the corresponding conformal dimension of any of the dual CFT$_d$ operators matches the sum of all the others. For cubic bulk couplings, this is $\\Delta_i+\\Delta_j=\\Delta_k$. These bulk interactions are often disregarded in the literature since they do not appear in traditional models of AdS/CFT. Turning them on yields a divergent vertex in the dual CFT, and here we show that these divergences can be regulated. Once ","authors_text":"Alejandra Castro, Pedro J. Martinez","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-09-23T18:00:00Z","title":"Revisiting Extremal Couplings in AdS/CFT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.15410","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":"sha256:892533bac27c7e287d269f2cf907835a685c4a3083ef760c8ff9e40d54fa8b78","target":"record","created_at":"2026-07-05T09:59:00Z","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":"2032d5acca57eb45789ace32b897e6edc2808a6236cee47b97379423d1fb2391","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-09-23T18:00:00Z","title_canon_sha256":"ce770430529935e583260e9485fc404eb8e00633e085050d7c37e84e0f96a483"},"schema_version":"1.0","source":{"id":"2409.15410","kind":"arxiv","version":3}},"canonical_sha256":"c47c71ac5cbdf6587c2ffbf48226cc34249cf0683d26bda815a4cac29672117b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c47c71ac5cbdf6587c2ffbf48226cc34249cf0683d26bda815a4cac29672117b","first_computed_at":"2026-07-05T09:59:00.023622Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:59:00.023622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ToClrbg3xmhb88JsxC2R5Ex6yc7H4Q9+0CaHPn3Mjei6PPezirIUgNI2W1q7TRAtFfocX+TC7y/21kseGhCOBw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:59:00.024085Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.15410","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:892533bac27c7e287d269f2cf907835a685c4a3083ef760c8ff9e40d54fa8b78","sha256:6957de237783175ab67f8681862b622c61a6adcb93669fe6281bf23287c950e7"],"state_sha256":"713c4d4e2b51ed42ec1bca643b88848f321b9dcbd17fa67f1a399e6f1ecdbd0b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f9Ha+QRULl+U+cU8biGIpC7YQH6Ga4QcsKEGlOmf22Pjg6+TO6qhXjqYI7AzuLZPL1Oj5jx38uO3ON1Xj7fvCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T01:41:04.998876Z","bundle_sha256":"f0dc64b0d9de91844f8120f7e9687f265ac0c9e7e8c22324cce48a640591b700"}}