{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:JTO4V2AHV4KREJZRERADULURUS","short_pith_number":"pith:JTO4V2AH","canonical_record":{"source":{"id":"1503.02663","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-09T20:00:16Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"c38a297754e5f6a5d3a4aa2623c180c51a69765ba092e596ca2f69113bcac01e","abstract_canon_sha256":"ab7bb40a8432cb73ecdca0ebd0178908a9adfda2b993aa816a441f2f5b1648c0"},"schema_version":"1.0"},"canonical_sha256":"4cddcae807af1512273124403a2e91a4938853f2e4d59d4f30e8e3597e40c30a","source":{"kind":"arxiv","id":"1503.02663","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.02663","created_at":"2026-05-18T00:57:32Z"},{"alias_kind":"arxiv_version","alias_value":"1503.02663v3","created_at":"2026-05-18T00:57:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.02663","created_at":"2026-05-18T00:57:32Z"},{"alias_kind":"pith_short_12","alias_value":"JTO4V2AHV4KR","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JTO4V2AHV4KREJZR","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JTO4V2AH","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:JTO4V2AHV4KREJZRERADULURUS","target":"record","payload":{"canonical_record":{"source":{"id":"1503.02663","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-09T20:00:16Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"c38a297754e5f6a5d3a4aa2623c180c51a69765ba092e596ca2f69113bcac01e","abstract_canon_sha256":"ab7bb40a8432cb73ecdca0ebd0178908a9adfda2b993aa816a441f2f5b1648c0"},"schema_version":"1.0"},"canonical_sha256":"4cddcae807af1512273124403a2e91a4938853f2e4d59d4f30e8e3597e40c30a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:32.108900Z","signature_b64":"1Gg6NYFHx5kP4AwLOD04WvNcqVQiLkJ06sPZPM5nELkt9binJGLwYSCqaoA9yf5SgDyc8toFgOYSF35eaZpYCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4cddcae807af1512273124403a2e91a4938853f2e4d59d4f30e8e3597e40c30a","last_reissued_at":"2026-05-18T00:57:32.108349Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:32.108349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.02663","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":"2026-05-18T00:57:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KcTKSFtcDu0/ZafbIgO+nCy/eCRFtbxSR2qV+hp6icy4qFdVftDiwi8j2SJa54v319XaG+3GvwzEm5Il1IuxCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:36:06.906266Z"},"content_sha256":"02471d85bfde3018fc8b996ef3f7209942185a0d0b957b80c1a2a042a3713e75","schema_version":"1.0","event_id":"sha256:02471d85bfde3018fc8b996ef3f7209942185a0d0b957b80c1a2a042a3713e75"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:JTO4V2AHV4KREJZRERADULURUS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"2D Kac-Moody Symmetry of 4D Yang-Mills Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Andrew Strominger, Prahar Mitra, Temple He","submitted_at":"2015-03-09T20:00:16Z","abstract_excerpt":"Scattering amplitudes of any four-dimensional theory with nonabelian gauge group $\\mathcal G$ may be recast as two-dimensional correlation functions on the asymptotic two-sphere at null infinity. The soft gluon theorem is shown, for massless theories at the semiclassical level, to be the Ward identity of a holomorphic two-dimensional $\\mathcal G$-Kac-Moody symmetry acting on these correlation functions. Holomorphic Kac-Moody current insertions are positive helicity soft gluon insertions. The Kac-Moody transformations are a $CPT$ invariant subgroup of gauge transformations which act nontriviall"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02663","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":""},"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":"2026-05-18T00:57:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hlhf/AXhp8nZDIcFHXMt7oA0aPSSnu0nTf6Blh6bFeBdFSnDRXhcmomPPrPwaTapwiUbl+Xki1HSkc7jBjZ9Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:36:06.906878Z"},"content_sha256":"93e0f4c9d1c3975d8d34f26826a950bb8f9e29560003fd24522ffb5de737afeb","schema_version":"1.0","event_id":"sha256:93e0f4c9d1c3975d8d34f26826a950bb8f9e29560003fd24522ffb5de737afeb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JTO4V2AHV4KREJZRERADULURUS/bundle.json","state_url":"https://pith.science/pith/JTO4V2AHV4KREJZRERADULURUS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JTO4V2AHV4KREJZRERADULURUS/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":"2026-05-31T07:36:06Z","links":{"resolver":"https://pith.science/pith/JTO4V2AHV4KREJZRERADULURUS","bundle":"https://pith.science/pith/JTO4V2AHV4KREJZRERADULURUS/bundle.json","state":"https://pith.science/pith/JTO4V2AHV4KREJZRERADULURUS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JTO4V2AHV4KREJZRERADULURUS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JTO4V2AHV4KREJZRERADULURUS","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":"ab7bb40a8432cb73ecdca0ebd0178908a9adfda2b993aa816a441f2f5b1648c0","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-09T20:00:16Z","title_canon_sha256":"c38a297754e5f6a5d3a4aa2623c180c51a69765ba092e596ca2f69113bcac01e"},"schema_version":"1.0","source":{"id":"1503.02663","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.02663","created_at":"2026-05-18T00:57:32Z"},{"alias_kind":"arxiv_version","alias_value":"1503.02663v3","created_at":"2026-05-18T00:57:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.02663","created_at":"2026-05-18T00:57:32Z"},{"alias_kind":"pith_short_12","alias_value":"JTO4V2AHV4KR","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JTO4V2AHV4KREJZR","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JTO4V2AH","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:93e0f4c9d1c3975d8d34f26826a950bb8f9e29560003fd24522ffb5de737afeb","target":"graph","created_at":"2026-05-18T00:57:32Z","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"},"paper":{"abstract_excerpt":"Scattering amplitudes of any four-dimensional theory with nonabelian gauge group $\\mathcal G$ may be recast as two-dimensional correlation functions on the asymptotic two-sphere at null infinity. The soft gluon theorem is shown, for massless theories at the semiclassical level, to be the Ward identity of a holomorphic two-dimensional $\\mathcal G$-Kac-Moody symmetry acting on these correlation functions. Holomorphic Kac-Moody current insertions are positive helicity soft gluon insertions. The Kac-Moody transformations are a $CPT$ invariant subgroup of gauge transformations which act nontriviall","authors_text":"Andrew Strominger, Prahar Mitra, Temple He","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-09T20:00:16Z","title":"2D Kac-Moody Symmetry of 4D Yang-Mills Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02663","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":"sha256:02471d85bfde3018fc8b996ef3f7209942185a0d0b957b80c1a2a042a3713e75","target":"record","created_at":"2026-05-18T00:57:32Z","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":"ab7bb40a8432cb73ecdca0ebd0178908a9adfda2b993aa816a441f2f5b1648c0","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-09T20:00:16Z","title_canon_sha256":"c38a297754e5f6a5d3a4aa2623c180c51a69765ba092e596ca2f69113bcac01e"},"schema_version":"1.0","source":{"id":"1503.02663","kind":"arxiv","version":3}},"canonical_sha256":"4cddcae807af1512273124403a2e91a4938853f2e4d59d4f30e8e3597e40c30a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4cddcae807af1512273124403a2e91a4938853f2e4d59d4f30e8e3597e40c30a","first_computed_at":"2026-05-18T00:57:32.108349Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:32.108349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1Gg6NYFHx5kP4AwLOD04WvNcqVQiLkJ06sPZPM5nELkt9binJGLwYSCqaoA9yf5SgDyc8toFgOYSF35eaZpYCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:32.108900Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.02663","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02471d85bfde3018fc8b996ef3f7209942185a0d0b957b80c1a2a042a3713e75","sha256:93e0f4c9d1c3975d8d34f26826a950bb8f9e29560003fd24522ffb5de737afeb"],"state_sha256":"621b6c3f6a679c0f93ebc430c0b63bb7e154490824e41c1cc5fcda2590d7ba6c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oeHSYK7Is/DN3GO8szjs7PMs9VXdunY7aNThyh+MFGxBOPDmMMcdjil/8L05RmoaPGUMarbZHt4DOpoJXc9FBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T07:36:06.909909Z","bundle_sha256":"a9618128a2cbf70af34e1d95223d532da00d5c6428d24015822a25ef147c4dff"}}