{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:FG34JMWCLAULOUAF4L3LVRUDKP","short_pith_number":"pith:FG34JMWC","canonical_record":{"source":{"id":"1012.3178","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-14T21:25:22Z","cross_cats_sorted":[],"title_canon_sha256":"1f2d8addead920a700bd26bfe00a66afa37307de0e780a1aaed2982ce573e249","abstract_canon_sha256":"5527652ddd5390f54e938441fb87fbd7b82b2edf661f6714b3a291fdfb7fcc24"},"schema_version":"1.0"},"canonical_sha256":"29b7c4b2c25828b75005e2f6bac68353c1cf936065edcca73e7f6e652d61f9f3","source":{"kind":"arxiv","id":"1012.3178","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.3178","created_at":"2026-05-18T02:04:24Z"},{"alias_kind":"arxiv_version","alias_value":"1012.3178v1","created_at":"2026-05-18T02:04:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3178","created_at":"2026-05-18T02:04:24Z"},{"alias_kind":"pith_short_12","alias_value":"FG34JMWCLAUL","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"FG34JMWCLAULOUAF","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"FG34JMWC","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:FG34JMWCLAULOUAF4L3LVRUDKP","target":"record","payload":{"canonical_record":{"source":{"id":"1012.3178","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-14T21:25:22Z","cross_cats_sorted":[],"title_canon_sha256":"1f2d8addead920a700bd26bfe00a66afa37307de0e780a1aaed2982ce573e249","abstract_canon_sha256":"5527652ddd5390f54e938441fb87fbd7b82b2edf661f6714b3a291fdfb7fcc24"},"schema_version":"1.0"},"canonical_sha256":"29b7c4b2c25828b75005e2f6bac68353c1cf936065edcca73e7f6e652d61f9f3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:24.753157Z","signature_b64":"1kasCpi/+pBt3+UpL+tr7fIOGatX0ZJhMPCTH+Y/06p3nNQ34twqDoKjs027/e3Zx4fbtpBsPDXNKMbX1zQyCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29b7c4b2c25828b75005e2f6bac68353c1cf936065edcca73e7f6e652d61f9f3","last_reissued_at":"2026-05-18T02:04:24.752568Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:24.752568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.3178","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":"2026-05-18T02:04:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Lb01H/HdsJIW+DOg6ya3/zoGQyU7Rl2d/nUCuV6gZn19uJ81xL0+JyYRUpjiDML22na2jzGjxY2lMJm1V08Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T01:06:19.247980Z"},"content_sha256":"a3ae15e16c8b109343a9adfcfd25acd6b55ff754d0784f371030ed33fcd14567","schema_version":"1.0","event_id":"sha256:a3ae15e16c8b109343a9adfcfd25acd6b55ff754d0784f371030ed33fcd14567"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:FG34JMWCLAULOUAF4L3LVRUDKP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"MHV amplitude for 3->3 gluon scattering in Regge limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Prygarin, J. Bartels, L.N. Lipatov","submitted_at":"2010-12-14T21:25:22Z","abstract_excerpt":"We calculate corrections to the BDS formula for the six-particle planar MHV amplitude for the gluon transition 3->3 in the multi-Regge kinematics for the physical region, in which the Regge pole ansatz is not valid. The remainder function at two loops is obtained by an analytic continuation of the expression derived by Goncharov, Spradlin, Vergu and Volovich to the kinematic region described by the Mandelstam singularity exchange in the crossing channel. It contains both the imaginary and real contributions being in agreement with the BFKL predictions. The real part of the three loop expressio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3178","kind":"arxiv","version":1},"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":"2026-05-18T02:04:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0yKK/QIxwQOt+ymSRnEncJ6LhdWR8Od9X92DPPv2ohMg/zG5je+xhvjjdW9riPOLtF0mHdxVe4s6GZDbHQ37Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T01:06:19.248692Z"},"content_sha256":"3b6a065e29b522937bcd6c17193fe3430a825b3504b6fcc5c10fe7c2abae1b0e","schema_version":"1.0","event_id":"sha256:3b6a065e29b522937bcd6c17193fe3430a825b3504b6fcc5c10fe7c2abae1b0e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FG34JMWCLAULOUAF4L3LVRUDKP/bundle.json","state_url":"https://pith.science/pith/FG34JMWCLAULOUAF4L3LVRUDKP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FG34JMWCLAULOUAF4L3LVRUDKP/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":"2026-05-30T01:06:19Z","links":{"resolver":"https://pith.science/pith/FG34JMWCLAULOUAF4L3LVRUDKP","bundle":"https://pith.science/pith/FG34JMWCLAULOUAF4L3LVRUDKP/bundle.json","state":"https://pith.science/pith/FG34JMWCLAULOUAF4L3LVRUDKP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FG34JMWCLAULOUAF4L3LVRUDKP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:FG34JMWCLAULOUAF4L3LVRUDKP","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":"5527652ddd5390f54e938441fb87fbd7b82b2edf661f6714b3a291fdfb7fcc24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-14T21:25:22Z","title_canon_sha256":"1f2d8addead920a700bd26bfe00a66afa37307de0e780a1aaed2982ce573e249"},"schema_version":"1.0","source":{"id":"1012.3178","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.3178","created_at":"2026-05-18T02:04:24Z"},{"alias_kind":"arxiv_version","alias_value":"1012.3178v1","created_at":"2026-05-18T02:04:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3178","created_at":"2026-05-18T02:04:24Z"},{"alias_kind":"pith_short_12","alias_value":"FG34JMWCLAUL","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"FG34JMWCLAULOUAF","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"FG34JMWC","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:3b6a065e29b522937bcd6c17193fe3430a825b3504b6fcc5c10fe7c2abae1b0e","target":"graph","created_at":"2026-05-18T02:04:24Z","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 calculate corrections to the BDS formula for the six-particle planar MHV amplitude for the gluon transition 3->3 in the multi-Regge kinematics for the physical region, in which the Regge pole ansatz is not valid. The remainder function at two loops is obtained by an analytic continuation of the expression derived by Goncharov, Spradlin, Vergu and Volovich to the kinematic region described by the Mandelstam singularity exchange in the crossing channel. It contains both the imaginary and real contributions being in agreement with the BFKL predictions. The real part of the three loop expressio","authors_text":"A. Prygarin, J. Bartels, L.N. Lipatov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-14T21:25:22Z","title":"MHV amplitude for 3->3 gluon scattering in Regge limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3178","kind":"arxiv","version":1},"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:a3ae15e16c8b109343a9adfcfd25acd6b55ff754d0784f371030ed33fcd14567","target":"record","created_at":"2026-05-18T02:04:24Z","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":"5527652ddd5390f54e938441fb87fbd7b82b2edf661f6714b3a291fdfb7fcc24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-14T21:25:22Z","title_canon_sha256":"1f2d8addead920a700bd26bfe00a66afa37307de0e780a1aaed2982ce573e249"},"schema_version":"1.0","source":{"id":"1012.3178","kind":"arxiv","version":1}},"canonical_sha256":"29b7c4b2c25828b75005e2f6bac68353c1cf936065edcca73e7f6e652d61f9f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29b7c4b2c25828b75005e2f6bac68353c1cf936065edcca73e7f6e652d61f9f3","first_computed_at":"2026-05-18T02:04:24.752568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:24.752568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1kasCpi/+pBt3+UpL+tr7fIOGatX0ZJhMPCTH+Y/06p3nNQ34twqDoKjs027/e3Zx4fbtpBsPDXNKMbX1zQyCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:24.753157Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.3178","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3ae15e16c8b109343a9adfcfd25acd6b55ff754d0784f371030ed33fcd14567","sha256:3b6a065e29b522937bcd6c17193fe3430a825b3504b6fcc5c10fe7c2abae1b0e"],"state_sha256":"6e86eda79ac432abe7450fa6908537a1f764e75e8a272823e4b3c9133cec9013"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lkSUvbO1FRF6vuU3uzLai1tNAiM7oKEKHGBYZNIQpWPNEFv8LjkUTYjIO3WrGTWYKTvHXWhk4yDQ2TiRw0puCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T01:06:19.252445Z","bundle_sha256":"3888fa1f166b5e19063ec0606ea668b9598a7d56e31bd79df9fc3b1e6806a0e3"}}