{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GG7YXUQ2PEXLYM5N7FSXEJ3EJK","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":"c98680a8cf26a0c4aa713c28c7a229d0bc73d263d273c0e6d3dd3e2e8fc2b1cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-26T13:29:48Z","title_canon_sha256":"557d8893b946ad78f36b0833e72869d36b32fd8ebfcac86eb3ba6b0a16af3418"},"schema_version":"1.0","source":{"id":"1109.5555","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.5555","created_at":"2026-05-18T01:20:47Z"},{"alias_kind":"arxiv_version","alias_value":"1109.5555v4","created_at":"2026-05-18T01:20:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.5555","created_at":"2026-05-18T01:20:47Z"},{"alias_kind":"pith_short_12","alias_value":"GG7YXUQ2PEXL","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"GG7YXUQ2PEXLYM5N","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"GG7YXUQ2","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:578c0183f8ca43801b751755387902b62ec4fdef4016a0ca0ec33d10b6157638","target":"graph","created_at":"2026-05-18T01:20:47Z","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":"Recently, it has been proposed that the S-matrix elements on the world volume of an abelian D$_3$-brane are consistent with the Ward identity associated with the S-duality. In this paper we extend this study to the case of multiple D$_3$-branes. We speculate that the S-matrix elements are consistent with the S-dual Ward identity irrespective of the ordering of the external states. Imposing this symmetry on the particular case of the S-matrix element of one Kalb-Ramond, one transverse scalar and two nonabelian gauge bosons, we will find the linear S-duality transformation of the commutator of t","authors_text":"Mohammad R. Garousi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-26T13:29:48Z","title":"S-duality of color-ordered amplitudes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.5555","kind":"arxiv","version":4},"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:f0c5c3c74e54ce1325e68d76b0e177757bea6a4e9b82f1e484063b34cc41431e","target":"record","created_at":"2026-05-18T01:20:47Z","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":"c98680a8cf26a0c4aa713c28c7a229d0bc73d263d273c0e6d3dd3e2e8fc2b1cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-26T13:29:48Z","title_canon_sha256":"557d8893b946ad78f36b0833e72869d36b32fd8ebfcac86eb3ba6b0a16af3418"},"schema_version":"1.0","source":{"id":"1109.5555","kind":"arxiv","version":4}},"canonical_sha256":"31bf8bd21a792ebc33adf9657227644ab264c0ba3aca3652e5fb6f0606311010","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31bf8bd21a792ebc33adf9657227644ab264c0ba3aca3652e5fb6f0606311010","first_computed_at":"2026-05-18T01:20:47.695940Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:47.695940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IZ357i2v2GVENjV6AChs1675+YNHo2JfzUr2hruuERxMsgGATmU7fKp7JNKq/NEzZ1/d9f95JOoCGAzIbwZGCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:47.696546Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.5555","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0c5c3c74e54ce1325e68d76b0e177757bea6a4e9b82f1e484063b34cc41431e","sha256:578c0183f8ca43801b751755387902b62ec4fdef4016a0ca0ec33d10b6157638"],"state_sha256":"9a017137f3806c40f3124cff8bbaec3fea0bc77d2a803dc8be23d9ad8e744bfa"}