{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:TCZGHTIXFSOT72PKH5Y3KA6MYX","short_pith_number":"pith:TCZGHTIX","canonical_record":{"source":{"id":"hep-th/0412210","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-12-20T19:39:43Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"f8205b5a5eb8b8aa77e04d51b1f949abf618bc5308646221e6a0b8eae6f783b5","abstract_canon_sha256":"f4d88be92297269f55f75c79c90752bf12fb9ed1a5d4ccec2de42f580ba8e4c1"},"schema_version":"1.0"},"canonical_sha256":"98b263cd172c9d3fe9ea3f71b503ccc5f06563d235856d6f7c77b2b45fdc69ce","source":{"kind":"arxiv","id":"hep-th/0412210","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0412210","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0412210v2","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0412210","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"pith_short_12","alias_value":"TCZGHTIXFSOT","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"pith_short_16","alias_value":"TCZGHTIXFSOT72PK","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"pith_short_8","alias_value":"TCZGHTIX","created_at":"2026-07-04T17:25:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:TCZGHTIXFSOT72PKH5Y3KA6MYX","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0412210","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-12-20T19:39:43Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"f8205b5a5eb8b8aa77e04d51b1f949abf618bc5308646221e6a0b8eae6f783b5","abstract_canon_sha256":"f4d88be92297269f55f75c79c90752bf12fb9ed1a5d4ccec2de42f580ba8e4c1"},"schema_version":"1.0"},"canonical_sha256":"98b263cd172c9d3fe9ea3f71b503ccc5f06563d235856d6f7c77b2b45fdc69ce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:25:26.185787Z","signature_b64":"VZX/B4wbhfkfJ/vIjQha2ZylnWTsEpWmn+V7j6E2Qp0xgyy3hihkmBf/LtxFwL3mIdP+xlPOdMh81HzJWD06BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98b263cd172c9d3fe9ea3f71b503ccc5f06563d235856d6f7c77b2b45fdc69ce","last_reissued_at":"2026-07-04T17:25:26.185355Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:25:26.185355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0412210","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":"2026-07-04T17:25:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wBDTtqX5dFE6HvKBh4taEgWi6WOzTHRalhfJcdqdDot7SdM+i53fqdLbG53QGxeUDrIdUWYMtxzmZguRnDJ1CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T22:41:44.771939Z"},"content_sha256":"1ebb4a788e2702353e55c4c2548cbbbd7d98a79aa28adcbdcaece42a63a198d4","schema_version":"1.0","event_id":"sha256:1ebb4a788e2702353e55c4c2548cbbbd7d98a79aa28adcbdcaece42a63a198d4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:TCZGHTIXFSOT72PKH5Y3KA6MYX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"All Next-to-Maximally-Helicity-Violating One-Loop Gluon Amplitudes in N=4 Super-Yang-Mills Theory","license":"","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"David A. Kosower, Lance J. Dixon, Zvi Bern","submitted_at":"2004-12-20T19:39:43Z","abstract_excerpt":"We compute the next-to-MHV one-loop n-gluon amplitudes in N=4 super-Yang-Mills theory. These amplitudes contain three negative-helicity gluons and an arbitrary number of positive-helicity gluons, and are the first infinite series of amplitudes beyond the simplest, MHV, amplitudes. We also discuss some aspects of their twistor-space structure."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0412210","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0412210/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":"2026-07-04T17:25:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+18VHkNwFhHd/u/hqiLp3KMGH1Bye8AV96pwcF8p+aoh5gbX85XRPTl7/1WFFKP6mivrOMoikft9ankRwS5TDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T22:41:44.772424Z"},"content_sha256":"f3e310486b703e7a882b1e8bf14786d63f352214f39662c59d25a32cde39623b","schema_version":"1.0","event_id":"sha256:f3e310486b703e7a882b1e8bf14786d63f352214f39662c59d25a32cde39623b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TCZGHTIXFSOT72PKH5Y3KA6MYX/bundle.json","state_url":"https://pith.science/pith/TCZGHTIXFSOT72PKH5Y3KA6MYX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TCZGHTIXFSOT72PKH5Y3KA6MYX/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":"2026-08-02T22:41:44Z","links":{"resolver":"https://pith.science/pith/TCZGHTIXFSOT72PKH5Y3KA6MYX","bundle":"https://pith.science/pith/TCZGHTIXFSOT72PKH5Y3KA6MYX/bundle.json","state":"https://pith.science/pith/TCZGHTIXFSOT72PKH5Y3KA6MYX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TCZGHTIXFSOT72PKH5Y3KA6MYX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:TCZGHTIXFSOT72PKH5Y3KA6MYX","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":"f4d88be92297269f55f75c79c90752bf12fb9ed1a5d4ccec2de42f580ba8e4c1","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2004-12-20T19:39:43Z","title_canon_sha256":"f8205b5a5eb8b8aa77e04d51b1f949abf618bc5308646221e6a0b8eae6f783b5"},"schema_version":"1.0","source":{"id":"hep-th/0412210","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0412210","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0412210v2","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0412210","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"pith_short_12","alias_value":"TCZGHTIXFSOT","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"pith_short_16","alias_value":"TCZGHTIXFSOT72PK","created_at":"2026-07-04T17:25:26Z"},{"alias_kind":"pith_short_8","alias_value":"TCZGHTIX","created_at":"2026-07-04T17:25:26Z"}],"graph_snapshots":[{"event_id":"sha256:f3e310486b703e7a882b1e8bf14786d63f352214f39662c59d25a32cde39623b","target":"graph","created_at":"2026-07-04T17:25:26Z","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/hep-th/0412210/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the next-to-MHV one-loop n-gluon amplitudes in N=4 super-Yang-Mills theory. These amplitudes contain three negative-helicity gluons and an arbitrary number of positive-helicity gluons, and are the first infinite series of amplitudes beyond the simplest, MHV, amplitudes. We also discuss some aspects of their twistor-space structure.","authors_text":"David A. Kosower, Lance J. Dixon, Zvi Bern","cross_cats":["hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-12-20T19:39:43Z","title":"All Next-to-Maximally-Helicity-Violating One-Loop Gluon Amplitudes in N=4 Super-Yang-Mills Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0412210","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":"sha256:1ebb4a788e2702353e55c4c2548cbbbd7d98a79aa28adcbdcaece42a63a198d4","target":"record","created_at":"2026-07-04T17:25:26Z","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":"f4d88be92297269f55f75c79c90752bf12fb9ed1a5d4ccec2de42f580ba8e4c1","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2004-12-20T19:39:43Z","title_canon_sha256":"f8205b5a5eb8b8aa77e04d51b1f949abf618bc5308646221e6a0b8eae6f783b5"},"schema_version":"1.0","source":{"id":"hep-th/0412210","kind":"arxiv","version":2}},"canonical_sha256":"98b263cd172c9d3fe9ea3f71b503ccc5f06563d235856d6f7c77b2b45fdc69ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98b263cd172c9d3fe9ea3f71b503ccc5f06563d235856d6f7c77b2b45fdc69ce","first_computed_at":"2026-07-04T17:25:26.185355Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:25:26.185355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VZX/B4wbhfkfJ/vIjQha2ZylnWTsEpWmn+V7j6E2Qp0xgyy3hihkmBf/LtxFwL3mIdP+xlPOdMh81HzJWD06BA==","signature_status":"signed_v1","signed_at":"2026-07-04T17:25:26.185787Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0412210","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ebb4a788e2702353e55c4c2548cbbbd7d98a79aa28adcbdcaece42a63a198d4","sha256:f3e310486b703e7a882b1e8bf14786d63f352214f39662c59d25a32cde39623b"],"state_sha256":"6e95f1d4f85bee3e12a0a8db050179e21658254d3146ef8611ab9f4b9b7576cf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R+tUQZt0s4r6EBer7iUSI4fciLmkBnaKV3MUAbFp7WSPUVFJAwhLdq7Ha2uJrS6E8SCeleBajGFK/JaMTQsJCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-02T22:41:44.776199Z","bundle_sha256":"8cf375886fc190cf38d51f44299790a7e1ca454e7fcc4081baa8f9a04cea8605"}}