{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:UEEB42NXMZ7FD5F7OBGPZ7SPES","short_pith_number":"pith:UEEB42NX","canonical_record":{"source":{"id":"1112.1060","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-05T20:56:53Z","cross_cats_sorted":[],"title_canon_sha256":"58eb1c38c37eacb2e7f7cdff71dc5649e55fedfdfb1d0d0ef06ec0794eedc08a","abstract_canon_sha256":"12090845157e5f3544762d8d71b4e46999a620c1e71a34884356ba74b329c315"},"schema_version":"1.0"},"canonical_sha256":"a1081e69b7667e51f4bf704cfcfe4f24832186c0ab1d841cd4c3a8ada776a111","source":{"kind":"arxiv","id":"1112.1060","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1060","created_at":"2026-05-18T00:37:37Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1060v2","created_at":"2026-05-18T00:37:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1060","created_at":"2026-05-18T00:37:37Z"},{"alias_kind":"pith_short_12","alias_value":"UEEB42NXMZ7F","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UEEB42NXMZ7FD5F7","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UEEB42NX","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:UEEB42NXMZ7FD5F7OBGPZ7SPES","target":"record","payload":{"canonical_record":{"source":{"id":"1112.1060","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-05T20:56:53Z","cross_cats_sorted":[],"title_canon_sha256":"58eb1c38c37eacb2e7f7cdff71dc5649e55fedfdfb1d0d0ef06ec0794eedc08a","abstract_canon_sha256":"12090845157e5f3544762d8d71b4e46999a620c1e71a34884356ba74b329c315"},"schema_version":"1.0"},"canonical_sha256":"a1081e69b7667e51f4bf704cfcfe4f24832186c0ab1d841cd4c3a8ada776a111","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:37.922971Z","signature_b64":"kIJASYahjNdqp/SAjevQxfaxWG/ITsWI7PJZHRIZXb+ADsLUji1YVLkPHs1BXyi626eJBfaO/wN4eK44ibkgAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1081e69b7667e51f4bf704cfcfe4f24832186c0ab1d841cd4c3a8ada776a111","last_reissued_at":"2026-05-18T00:37:37.922374Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:37.922374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.1060","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:37:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uYpv6MQp7ohlAjOBcodij8myo1Oq6ums9qhZ2NfCtgZiiicC05dy7yS0WqCThPh3qdGIQLeixXrwGnmwH/wnCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:26:22.696968Z"},"content_sha256":"03c1670fee6ab48798068e85da8b3f3a8c43fbcd5e0652797c291c3d8a4c526e","schema_version":"1.0","event_id":"sha256:03c1670fee6ab48798068e85da8b3f3a8c43fbcd5e0652797c291c3d8a4c526e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:UEEB42NXMZ7FD5F7OBGPZ7SPES","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Jumpstarting the all-loop S-matrix of planar N=4 super Yang-Mills","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Simon Caron-Huot, Song He","submitted_at":"2011-12-05T20:56:53Z","abstract_excerpt":"We derive a set of first-order differential equations obeyed by the S-matrix of planar maximally supersymmetric Yang-Mills theory. The equations, based on the Yangian symmetry of the theory, involve only finite and regulator-independent quantities and uniquely determine the all-loop S-matrix. When expanded in powers of the coupling they give derivatives of amplitudes as single integrals over lower-loop, higher-point amplitudes/Wilson loops. We outline a derivation for the equations using the Operator Product Expansion for Wilson loops. We apply them on a few examples at two- and three-loops, r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1060","kind":"arxiv","version":2},"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":"2026-05-18T00:37:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lA/KivuC/gJFwEBT+oG9FWZXPye8u8nMakoOFzcY5kw3TzhllxAR7PMvC9GVtPqw7V1Gq0HIzC3TWZzbz5ofDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:26:22.697306Z"},"content_sha256":"868d7f565fe02778609ec7dab711763258acdfc4585855f24d12124d89a51ca4","schema_version":"1.0","event_id":"sha256:868d7f565fe02778609ec7dab711763258acdfc4585855f24d12124d89a51ca4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UEEB42NXMZ7FD5F7OBGPZ7SPES/bundle.json","state_url":"https://pith.science/pith/UEEB42NXMZ7FD5F7OBGPZ7SPES/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UEEB42NXMZ7FD5F7OBGPZ7SPES/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":"2026-05-31T10:26:22Z","links":{"resolver":"https://pith.science/pith/UEEB42NXMZ7FD5F7OBGPZ7SPES","bundle":"https://pith.science/pith/UEEB42NXMZ7FD5F7OBGPZ7SPES/bundle.json","state":"https://pith.science/pith/UEEB42NXMZ7FD5F7OBGPZ7SPES/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UEEB42NXMZ7FD5F7OBGPZ7SPES/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:UEEB42NXMZ7FD5F7OBGPZ7SPES","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":"12090845157e5f3544762d8d71b4e46999a620c1e71a34884356ba74b329c315","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-05T20:56:53Z","title_canon_sha256":"58eb1c38c37eacb2e7f7cdff71dc5649e55fedfdfb1d0d0ef06ec0794eedc08a"},"schema_version":"1.0","source":{"id":"1112.1060","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1060","created_at":"2026-05-18T00:37:37Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1060v2","created_at":"2026-05-18T00:37:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1060","created_at":"2026-05-18T00:37:37Z"},{"alias_kind":"pith_short_12","alias_value":"UEEB42NXMZ7F","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UEEB42NXMZ7FD5F7","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UEEB42NX","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:868d7f565fe02778609ec7dab711763258acdfc4585855f24d12124d89a51ca4","target":"graph","created_at":"2026-05-18T00:37:37Z","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":"We derive a set of first-order differential equations obeyed by the S-matrix of planar maximally supersymmetric Yang-Mills theory. The equations, based on the Yangian symmetry of the theory, involve only finite and regulator-independent quantities and uniquely determine the all-loop S-matrix. When expanded in powers of the coupling they give derivatives of amplitudes as single integrals over lower-loop, higher-point amplitudes/Wilson loops. We outline a derivation for the equations using the Operator Product Expansion for Wilson loops. We apply them on a few examples at two- and three-loops, r","authors_text":"Simon Caron-Huot, Song He","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-05T20:56:53Z","title":"Jumpstarting the all-loop S-matrix of planar N=4 super Yang-Mills"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1060","kind":"arxiv","version":2},"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":"sha256:03c1670fee6ab48798068e85da8b3f3a8c43fbcd5e0652797c291c3d8a4c526e","target":"record","created_at":"2026-05-18T00:37:37Z","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":"12090845157e5f3544762d8d71b4e46999a620c1e71a34884356ba74b329c315","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-05T20:56:53Z","title_canon_sha256":"58eb1c38c37eacb2e7f7cdff71dc5649e55fedfdfb1d0d0ef06ec0794eedc08a"},"schema_version":"1.0","source":{"id":"1112.1060","kind":"arxiv","version":2}},"canonical_sha256":"a1081e69b7667e51f4bf704cfcfe4f24832186c0ab1d841cd4c3a8ada776a111","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1081e69b7667e51f4bf704cfcfe4f24832186c0ab1d841cd4c3a8ada776a111","first_computed_at":"2026-05-18T00:37:37.922374Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:37.922374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kIJASYahjNdqp/SAjevQxfaxWG/ITsWI7PJZHRIZXb+ADsLUji1YVLkPHs1BXyi626eJBfaO/wN4eK44ibkgAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:37.922971Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.1060","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:03c1670fee6ab48798068e85da8b3f3a8c43fbcd5e0652797c291c3d8a4c526e","sha256:868d7f565fe02778609ec7dab711763258acdfc4585855f24d12124d89a51ca4"],"state_sha256":"b653df7ab8b9c044b80f10637ebdc3daccfc7bc5dd03ddbc6d5ddf7a066c33e2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2bIOhXtY2Q8lOLhvQgPOswXN/tJ+7V5MOJDPo2dAfcfw0MF812fj5f/IzQPd3bsQ+upO1B8KCYFStWyJ7CO6Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T10:26:22.699300Z","bundle_sha256":"317ff8326af0ce49467a712e6f4c77ec9c1305fcef07979184fed3e43d29551e"}}