{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:46RGY5KKXXKMOBXI7OFMKKC6F3","short_pith_number":"pith:46RGY5KK","canonical_record":{"source":{"id":"2605.14281","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-14T02:29:50Z","cross_cats_sorted":[],"title_canon_sha256":"622151b0a0c406a9517c6fe27e9b297ff51420f2c95bfdb3bb17a7b57b70ef77","abstract_canon_sha256":"f9fe2290d49bbef3a1df561916d65302ae99043ad16c6987cae90da3dcbd83ed"},"schema_version":"1.0"},"canonical_sha256":"e7a26c754abdd4c706e8fb8ac5285e2ec658e5f0b95c0217ea5a6b38424ce29d","source":{"kind":"arxiv","id":"2605.14281","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.14281","created_at":"2026-05-17T23:39:10Z"},{"alias_kind":"arxiv_version","alias_value":"2605.14281v1","created_at":"2026-05-17T23:39:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.14281","created_at":"2026-05-17T23:39:10Z"},{"alias_kind":"pith_short_12","alias_value":"46RGY5KKXXKM","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"46RGY5KKXXKMOBXI","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"46RGY5KK","created_at":"2026-05-18T12:33:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:46RGY5KKXXKMOBXI7OFMKKC6F3","target":"record","payload":{"canonical_record":{"source":{"id":"2605.14281","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-14T02:29:50Z","cross_cats_sorted":[],"title_canon_sha256":"622151b0a0c406a9517c6fe27e9b297ff51420f2c95bfdb3bb17a7b57b70ef77","abstract_canon_sha256":"f9fe2290d49bbef3a1df561916d65302ae99043ad16c6987cae90da3dcbd83ed"},"schema_version":"1.0"},"canonical_sha256":"e7a26c754abdd4c706e8fb8ac5285e2ec658e5f0b95c0217ea5a6b38424ce29d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:10.285624Z","signature_b64":"+V7ITj+677KImwysYSoq1DHS57n48ldD0Ps/Fsxnp6GMtGNc/If0PRSAmAkKtzyJMJGmoinOBQgoZihKhA/DAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7a26c754abdd4c706e8fb8ac5285e2ec658e5f0b95c0217ea5a6b38424ce29d","last_reissued_at":"2026-05-17T23:39:10.285128Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:10.285128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.14281","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":"2026-05-17T23:39:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZkRO/XXE8rHzTayyWbxBETO9QXDBw1g2iYrG/LXyytsNeBEin/Aq7MxSySRwr3I149crwUagQvP+qk7ObQx2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T01:16:32.082836Z"},"content_sha256":"8911131e93cb4588e117052064d0c908d71f76dbd0d06cd39a354724da80aa4e","schema_version":"1.0","event_id":"sha256:8911131e93cb4588e117052064d0c908d71f76dbd0d06cd39a354724da80aa4e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:46RGY5KKXXKMOBXI7OFMKKC6F3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bootstrapping Giant Graviton Correlators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Bootstrap conditions from hidden symmetry and cusp limits fix mixed giant-graviton correlators through three loops in large-N N=4 SYM.","cross_cats":[],"primary_cat":"hep-th","authors_text":"Canxin Shi, Congkao Wen, Song He, Yichao Tang","submitted_at":"2026-05-14T02:29:50Z","abstract_excerpt":"We develop bootstrap methods for mixed heavy-light four-point correlators $\\langle GGOO\\rangle$ in $\\mathcal N=4$ super-Yang--Mills theory at large $N$, where $O\\equiv {\\cal O}_2$ is the chiral primary operator in the stress-tensor multiplet and $G$ are (dual) giant graviton operators with dimension of order $N$, including the maximal determinant case. The loop integrand is expanded in a basis of labelled $f$-graphs -- necessarily including non-planar topologies due to the dimension-$N$ nature of the giant gravitons -- and the coefficients are fixed by various bootstrap conditions including do"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Together, these inputs uniquely determine the correlator through three loops, passing further non-trivial consistency checks. For the maximal determinant operator, we reproduce the known results through two loops and obtain the full three-loop correction.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The ten-dimensional hidden symmetry and the double-triangle/triangle rules in cusp and OPE limits are assumed to hold without additional corrections at three loops; if these bootstrap conditions are incomplete or receive higher-order modifications, the uniqueness claim fails.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Bootstrap methods using f-graphs, OPE limits, localization integrals, and hidden symmetry uniquely fix mixed giant graviton-light correlators through three loops in N=4 SYM.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Bootstrap conditions from hidden symmetry and cusp limits fix mixed giant-graviton correlators through three loops in large-N N=4 SYM.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"acb00cca47b8cea9d084422672d1ec66508f804c5849a93fd3088bfffda7e91e"},"source":{"id":"2605.14281","kind":"arxiv","version":1},"verdict":{"id":"d430552e-a8a9-4aa0-8f05-affe5294fc24","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T02:42:13.322799Z","strongest_claim":"Together, these inputs uniquely determine the correlator through three loops, passing further non-trivial consistency checks. For the maximal determinant operator, we reproduce the known results through two loops and obtain the full three-loop correction.","one_line_summary":"Bootstrap methods using f-graphs, OPE limits, localization integrals, and hidden symmetry uniquely fix mixed giant graviton-light correlators through three loops in N=4 SYM.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The ten-dimensional hidden symmetry and the double-triangle/triangle rules in cusp and OPE limits are assumed to hold without additional corrections at three loops; if these bootstrap conditions are incomplete or receive higher-order modifications, the uniqueness claim fails.","pith_extraction_headline":"Bootstrap conditions from hidden symmetry and cusp limits fix mixed giant-graviton correlators through three loops in large-N N=4 SYM."},"references":{"count":39,"sample":[{"doi":"","year":null,"title":"Amplitudes, strings & duality","work_id":"4366d7ce-97be-4f91-9404-fab7984c7545","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2000,"title":"Invasion of the Giant Gravitons from Anti-de Sitter Space","work_id":"79679b74-8dc6-420c-bb46-4fccaf39620c","ref_index":2,"cited_arxiv_id":"hep-th/0003075","is_internal_anchor":true},{"doi":"","year":2000,"title":"Large branes in AdS and their field theory dual","work_id":"214663e0-3450-47a8-a7dc-7cb8d0147f09","ref_index":3,"cited_arxiv_id":"hep-th/0008016","is_internal_anchor":true},{"doi":"","year":2002,"title":"Exact Correlators of Giant Gravitons from dual N=4 SYM","work_id":"f27e9bf3-f355-4d37-ba0b-194c068e79d9","ref_index":4,"cited_arxiv_id":"hep-th/0111222","is_internal_anchor":true},{"doi":"","year":2025,"title":"Gi- ant Graviton Correlators as Defect Systems,","work_id":"62128663-50ba-4d5e-a736-7a38da5d82a3","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":39,"snapshot_sha256":"b1992c9175bf6392c2ad07a4e0bca8e01a1881630332f1df944196978bf34c51","internal_anchors":12},"formal_canon":{"evidence_count":2,"snapshot_sha256":"9f019f417f8c5025156a083ca2ea6ea7dc1862a52dc4c2c0c7fe3407a3729fb1"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":"d430552e-a8a9-4aa0-8f05-affe5294fc24"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:39:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pUuNaGr4BnqSp4HYLPbo4hH0xRwPCnR9cT1BD8xp75c4oh4Badlj/tQtCQm/91xiv1i3YbD9JCkeOs88rBbNBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T01:16:32.083389Z"},"content_sha256":"ea821d016c0912141f85c560a4d42526da9288df6f75f6701809de9523e03e9a","schema_version":"1.0","event_id":"sha256:ea821d016c0912141f85c560a4d42526da9288df6f75f6701809de9523e03e9a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/46RGY5KKXXKMOBXI7OFMKKC6F3/bundle.json","state_url":"https://pith.science/pith/46RGY5KKXXKMOBXI7OFMKKC6F3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/46RGY5KKXXKMOBXI7OFMKKC6F3/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":"2026-05-28T01:16:32Z","links":{"resolver":"https://pith.science/pith/46RGY5KKXXKMOBXI7OFMKKC6F3","bundle":"https://pith.science/pith/46RGY5KKXXKMOBXI7OFMKKC6F3/bundle.json","state":"https://pith.science/pith/46RGY5KKXXKMOBXI7OFMKKC6F3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/46RGY5KKXXKMOBXI7OFMKKC6F3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:46RGY5KKXXKMOBXI7OFMKKC6F3","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":"f9fe2290d49bbef3a1df561916d65302ae99043ad16c6987cae90da3dcbd83ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-14T02:29:50Z","title_canon_sha256":"622151b0a0c406a9517c6fe27e9b297ff51420f2c95bfdb3bb17a7b57b70ef77"},"schema_version":"1.0","source":{"id":"2605.14281","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.14281","created_at":"2026-05-17T23:39:10Z"},{"alias_kind":"arxiv_version","alias_value":"2605.14281v1","created_at":"2026-05-17T23:39:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.14281","created_at":"2026-05-17T23:39:10Z"},{"alias_kind":"pith_short_12","alias_value":"46RGY5KKXXKM","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"46RGY5KKXXKMOBXI","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"46RGY5KK","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:ea821d016c0912141f85c560a4d42526da9288df6f75f6701809de9523e03e9a","target":"graph","created_at":"2026-05-17T23:39:10Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"Together, these inputs uniquely determine the correlator through three loops, passing further non-trivial consistency checks. For the maximal determinant operator, we reproduce the known results through two loops and obtain the full three-loop correction."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The ten-dimensional hidden symmetry and the double-triangle/triangle rules in cusp and OPE limits are assumed to hold without additional corrections at three loops; if these bootstrap conditions are incomplete or receive higher-order modifications, the uniqueness claim fails."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Bootstrap methods using f-graphs, OPE limits, localization integrals, and hidden symmetry uniquely fix mixed giant graviton-light correlators through three loops in N=4 SYM."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Bootstrap conditions from hidden symmetry and cusp limits fix mixed giant-graviton correlators through three loops in large-N N=4 SYM."}],"snapshot_sha256":"acb00cca47b8cea9d084422672d1ec66508f804c5849a93fd3088bfffda7e91e"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"9f019f417f8c5025156a083ca2ea6ea7dc1862a52dc4c2c0c7fe3407a3729fb1"},"paper":{"abstract_excerpt":"We develop bootstrap methods for mixed heavy-light four-point correlators $\\langle GGOO\\rangle$ in $\\mathcal N=4$ super-Yang--Mills theory at large $N$, where $O\\equiv {\\cal O}_2$ is the chiral primary operator in the stress-tensor multiplet and $G$ are (dual) giant graviton operators with dimension of order $N$, including the maximal determinant case. The loop integrand is expanded in a basis of labelled $f$-graphs -- necessarily including non-planar topologies due to the dimension-$N$ nature of the giant gravitons -- and the coefficients are fixed by various bootstrap conditions including do","authors_text":"Canxin Shi, Congkao Wen, Song He, Yichao Tang","cross_cats":[],"headline":"Bootstrap conditions from hidden symmetry and cusp limits fix mixed giant-graviton correlators through three loops in large-N N=4 SYM.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-14T02:29:50Z","title":"Bootstrapping Giant Graviton Correlators"},"references":{"count":39,"internal_anchors":12,"resolved_work":39,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"Amplitudes, strings & duality","work_id":"4366d7ce-97be-4f91-9404-fab7984c7545","year":null},{"cited_arxiv_id":"hep-th/0003075","doi":"","is_internal_anchor":true,"ref_index":2,"title":"Invasion of the Giant Gravitons from Anti-de Sitter Space","work_id":"79679b74-8dc6-420c-bb46-4fccaf39620c","year":2000},{"cited_arxiv_id":"hep-th/0008016","doi":"","is_internal_anchor":true,"ref_index":3,"title":"Large branes in AdS and their field theory dual","work_id":"214663e0-3450-47a8-a7dc-7cb8d0147f09","year":2000},{"cited_arxiv_id":"hep-th/0111222","doi":"","is_internal_anchor":true,"ref_index":4,"title":"Exact Correlators of Giant Gravitons from dual N=4 SYM","work_id":"f27e9bf3-f355-4d37-ba0b-194c068e79d9","year":2002},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"Gi- ant Graviton Correlators as Defect Systems,","work_id":"62128663-50ba-4d5e-a736-7a38da5d82a3","year":2025}],"snapshot_sha256":"b1992c9175bf6392c2ad07a4e0bca8e01a1881630332f1df944196978bf34c51"},"source":{"id":"2605.14281","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-15T02:42:13.322799Z","id":"d430552e-a8a9-4aa0-8f05-affe5294fc24","model_set":{"reader":"grok-4.3"},"one_line_summary":"Bootstrap methods using f-graphs, OPE limits, localization integrals, and hidden symmetry uniquely fix mixed giant graviton-light correlators through three loops in N=4 SYM.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Bootstrap conditions from hidden symmetry and cusp limits fix mixed giant-graviton correlators through three loops in large-N N=4 SYM.","strongest_claim":"Together, these inputs uniquely determine the correlator through three loops, passing further non-trivial consistency checks. For the maximal determinant operator, we reproduce the known results through two loops and obtain the full three-loop correction.","weakest_assumption":"The ten-dimensional hidden symmetry and the double-triangle/triangle rules in cusp and OPE limits are assumed to hold without additional corrections at three loops; if these bootstrap conditions are incomplete or receive higher-order modifications, the uniqueness claim fails."}},"verdict_id":"d430552e-a8a9-4aa0-8f05-affe5294fc24"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8911131e93cb4588e117052064d0c908d71f76dbd0d06cd39a354724da80aa4e","target":"record","created_at":"2026-05-17T23:39:10Z","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":"f9fe2290d49bbef3a1df561916d65302ae99043ad16c6987cae90da3dcbd83ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-14T02:29:50Z","title_canon_sha256":"622151b0a0c406a9517c6fe27e9b297ff51420f2c95bfdb3bb17a7b57b70ef77"},"schema_version":"1.0","source":{"id":"2605.14281","kind":"arxiv","version":1}},"canonical_sha256":"e7a26c754abdd4c706e8fb8ac5285e2ec658e5f0b95c0217ea5a6b38424ce29d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7a26c754abdd4c706e8fb8ac5285e2ec658e5f0b95c0217ea5a6b38424ce29d","first_computed_at":"2026-05-17T23:39:10.285128Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:10.285128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+V7ITj+677KImwysYSoq1DHS57n48ldD0Ps/Fsxnp6GMtGNc/If0PRSAmAkKtzyJMJGmoinOBQgoZihKhA/DAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:10.285624Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.14281","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8911131e93cb4588e117052064d0c908d71f76dbd0d06cd39a354724da80aa4e","sha256:ea821d016c0912141f85c560a4d42526da9288df6f75f6701809de9523e03e9a"],"state_sha256":"f9d18c69d3ff21183301f5f76a73ec19b6485e44f4591a5486100a86e6f68d3d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yybvEIVr8yKVlPUl4I2irbtQeCV5+GhT4+ezy1XPYDrpTVTGQquabWOSwX3y2jK4XWS+No18YGkPzWOqTZegAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T01:16:32.085924Z","bundle_sha256":"7a2d0fe956e1adf0996125480d5fa3f7e01aa0931fab4d3abcb57f60bf246fb8"}}