{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:NYJJO2LQ6LWBIGSQLKKAUYL6SJ","short_pith_number":"pith:NYJJO2LQ","canonical_record":{"source":{"id":"2206.06703","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-06-14T09:09:00Z","cross_cats_sorted":[],"title_canon_sha256":"1f536415491124b60bbd0de38f88954988260088dca50d61382c45ce54d249f6","abstract_canon_sha256":"2795f78c15585e124e4a38c8e266ae1ad2ad2bd314ba7412e29ff79c37bc89fc"},"schema_version":"1.0"},"canonical_sha256":"6e12976970f2ec141a505a940a617e9259677f6bac723433b183fc009c2f9aa2","source":{"kind":"arxiv","id":"2206.06703","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.06703","created_at":"2026-07-05T05:01:24Z"},{"alias_kind":"arxiv_version","alias_value":"2206.06703v1","created_at":"2026-07-05T05:01:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.06703","created_at":"2026-07-05T05:01:24Z"},{"alias_kind":"pith_short_12","alias_value":"NYJJO2LQ6LWB","created_at":"2026-07-05T05:01:24Z"},{"alias_kind":"pith_short_16","alias_value":"NYJJO2LQ6LWBIGSQ","created_at":"2026-07-05T05:01:24Z"},{"alias_kind":"pith_short_8","alias_value":"NYJJO2LQ","created_at":"2026-07-05T05:01:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:NYJJO2LQ6LWBIGSQLKKAUYL6SJ","target":"record","payload":{"canonical_record":{"source":{"id":"2206.06703","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-06-14T09:09:00Z","cross_cats_sorted":[],"title_canon_sha256":"1f536415491124b60bbd0de38f88954988260088dca50d61382c45ce54d249f6","abstract_canon_sha256":"2795f78c15585e124e4a38c8e266ae1ad2ad2bd314ba7412e29ff79c37bc89fc"},"schema_version":"1.0"},"canonical_sha256":"6e12976970f2ec141a505a940a617e9259677f6bac723433b183fc009c2f9aa2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:01:24.975745Z","signature_b64":"SM9Ffqe3kqShb6TTjW8LimXsWmbx72tDkaIK0fVTaRfmA9mbh4zWT9iHsfRpfBU/l/dUmP+Q5k6TJQXWKfwQBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e12976970f2ec141a505a940a617e9259677f6bac723433b183fc009c2f9aa2","last_reissued_at":"2026-07-05T05:01:24.975166Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:01:24.975166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2206.06703","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":"2026-07-05T05:01:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NTfEDpxPCnqX8T2JIu+A6QdkMRRfcIOSqPJcZ5Z/AYrgwAOm3UtODQI+SDYtBbJnJH1Wg0fiUxQr3ZvC+376Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T10:39:21.633038Z"},"content_sha256":"2c30b0e95cd92915847255cf0bf39b0876a50273fb999da0102dc7ec3398766c","schema_version":"1.0","event_id":"sha256:2c30b0e95cd92915847255cf0bf39b0876a50273fb999da0102dc7ec3398766c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:NYJJO2LQ6LWBIGSQLKKAUYL6SJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Convexity of Charged Operators in CFTs with Multiple Abelian Symmetries","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Adar Sharon, Eran Palti","submitted_at":"2022-06-14T09:09:00Z","abstract_excerpt":"Motivated by the Weak Gravity Conjecture in the context of holography in AdS, it has been proposed that operators charged under global symmetries in CFTs, in three dimensions or higher, should satisfy certain convexity properties on their spectrum. A key element of this proposal is the charge at which convexity must appear, which was proposed to never be parametrically large. In this paper, we develop this constraint in the context of multiple Abelian global symmetries. We propose the statement that the convex directions in the multi-dimensional charge space should generate a sub-lattice of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.06703","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/2206.06703/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":"2026-07-05T05:01:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mNxpcfaw1Ct/X63cTkTNCzAaX4gRLwk/XtmiJzptzaXxcZBLdphtrwiN6f1iMj12dNmYx6KGR3CONUdYPpDiDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T10:39:21.633804Z"},"content_sha256":"038cc1a93cf56b5db26e1fe0843c5dc07a0691f9dbbc19508df82306a19e03af","schema_version":"1.0","event_id":"sha256:038cc1a93cf56b5db26e1fe0843c5dc07a0691f9dbbc19508df82306a19e03af"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NYJJO2LQ6LWBIGSQLKKAUYL6SJ/bundle.json","state_url":"https://pith.science/pith/NYJJO2LQ6LWBIGSQLKKAUYL6SJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NYJJO2LQ6LWBIGSQLKKAUYL6SJ/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":"2026-08-23T10:39:21Z","links":{"resolver":"https://pith.science/pith/NYJJO2LQ6LWBIGSQLKKAUYL6SJ","bundle":"https://pith.science/pith/NYJJO2LQ6LWBIGSQLKKAUYL6SJ/bundle.json","state":"https://pith.science/pith/NYJJO2LQ6LWBIGSQLKKAUYL6SJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NYJJO2LQ6LWBIGSQLKKAUYL6SJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:NYJJO2LQ6LWBIGSQLKKAUYL6SJ","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":"2795f78c15585e124e4a38c8e266ae1ad2ad2bd314ba7412e29ff79c37bc89fc","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-06-14T09:09:00Z","title_canon_sha256":"1f536415491124b60bbd0de38f88954988260088dca50d61382c45ce54d249f6"},"schema_version":"1.0","source":{"id":"2206.06703","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.06703","created_at":"2026-07-05T05:01:24Z"},{"alias_kind":"arxiv_version","alias_value":"2206.06703v1","created_at":"2026-07-05T05:01:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.06703","created_at":"2026-07-05T05:01:24Z"},{"alias_kind":"pith_short_12","alias_value":"NYJJO2LQ6LWB","created_at":"2026-07-05T05:01:24Z"},{"alias_kind":"pith_short_16","alias_value":"NYJJO2LQ6LWBIGSQ","created_at":"2026-07-05T05:01:24Z"},{"alias_kind":"pith_short_8","alias_value":"NYJJO2LQ","created_at":"2026-07-05T05:01:24Z"}],"graph_snapshots":[{"event_id":"sha256:038cc1a93cf56b5db26e1fe0843c5dc07a0691f9dbbc19508df82306a19e03af","target":"graph","created_at":"2026-07-05T05:01:24Z","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/2206.06703/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Motivated by the Weak Gravity Conjecture in the context of holography in AdS, it has been proposed that operators charged under global symmetries in CFTs, in three dimensions or higher, should satisfy certain convexity properties on their spectrum. A key element of this proposal is the charge at which convexity must appear, which was proposed to never be parametrically large. In this paper, we develop this constraint in the context of multiple Abelian global symmetries. We propose the statement that the convex directions in the multi-dimensional charge space should generate a sub-lattice of th","authors_text":"Adar Sharon, Eran Palti","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-06-14T09:09:00Z","title":"Convexity of Charged Operators in CFTs with Multiple Abelian Symmetries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.06703","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":"sha256:2c30b0e95cd92915847255cf0bf39b0876a50273fb999da0102dc7ec3398766c","target":"record","created_at":"2026-07-05T05:01:24Z","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":"2795f78c15585e124e4a38c8e266ae1ad2ad2bd314ba7412e29ff79c37bc89fc","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-06-14T09:09:00Z","title_canon_sha256":"1f536415491124b60bbd0de38f88954988260088dca50d61382c45ce54d249f6"},"schema_version":"1.0","source":{"id":"2206.06703","kind":"arxiv","version":1}},"canonical_sha256":"6e12976970f2ec141a505a940a617e9259677f6bac723433b183fc009c2f9aa2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e12976970f2ec141a505a940a617e9259677f6bac723433b183fc009c2f9aa2","first_computed_at":"2026-07-05T05:01:24.975166Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:01:24.975166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SM9Ffqe3kqShb6TTjW8LimXsWmbx72tDkaIK0fVTaRfmA9mbh4zWT9iHsfRpfBU/l/dUmP+Q5k6TJQXWKfwQBg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:01:24.975745Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.06703","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c30b0e95cd92915847255cf0bf39b0876a50273fb999da0102dc7ec3398766c","sha256:038cc1a93cf56b5db26e1fe0843c5dc07a0691f9dbbc19508df82306a19e03af"],"state_sha256":"7be8f3418067bce66e2f5d98b9ff1e398da27a7cec5d47bda48713371008bcf5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ArkJh/oKvrW1+MnHfpwoK2UkVPUV6e/uE3PQWw1dFbrXSENNzMIU1WfO6/u4ZP2jmHNwul44SrkaAQ4o9OT+Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T10:39:21.639188Z","bundle_sha256":"6191c80181f9d48a457c85231043abb2371259d69bb44d72368c06e5ab6d140b"}}