{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:UOGWAM4XIPED3WQ6EIKRK5KIRK","short_pith_number":"pith:UOGWAM4X","canonical_record":{"source":{"id":"1112.6365","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-29T18:25:15Z","cross_cats_sorted":[],"title_canon_sha256":"4dfcad43ab049ba4cc308295c5a9ed9b5b909415f59102d815ff1bec8c65ac78","abstract_canon_sha256":"a8b32ed718009f3d140fc626444cb077a648d062d5fa002d8ff708ca0242f5b8"},"schema_version":"1.0"},"canonical_sha256":"a38d60339743c83dda1e22151575488a937134861648e53448ec9b1ad91e2651","source":{"kind":"arxiv","id":"1112.6365","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.6365","created_at":"2026-05-18T03:22:53Z"},{"alias_kind":"arxiv_version","alias_value":"1112.6365v2","created_at":"2026-05-18T03:22:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.6365","created_at":"2026-05-18T03:22:53Z"},{"alias_kind":"pith_short_12","alias_value":"UOGWAM4XIPED","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UOGWAM4XIPED3WQ6","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UOGWAM4X","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:UOGWAM4XIPED3WQ6EIKRK5KIRK","target":"record","payload":{"canonical_record":{"source":{"id":"1112.6365","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-29T18:25:15Z","cross_cats_sorted":[],"title_canon_sha256":"4dfcad43ab049ba4cc308295c5a9ed9b5b909415f59102d815ff1bec8c65ac78","abstract_canon_sha256":"a8b32ed718009f3d140fc626444cb077a648d062d5fa002d8ff708ca0242f5b8"},"schema_version":"1.0"},"canonical_sha256":"a38d60339743c83dda1e22151575488a937134861648e53448ec9b1ad91e2651","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:53.543462Z","signature_b64":"i/Y0mqsvI+aa/qXSLkYwo+4t+xspTsSgO5IVG+RetM1+Up36tzlftcZryJ6e4rpAroObk4dVP3FLtrLf0K4FCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a38d60339743c83dda1e22151575488a937134861648e53448ec9b1ad91e2651","last_reissued_at":"2026-05-18T03:22:53.542954Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:53.542954Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.6365","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":"2026-05-18T03:22:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EdBKcsia/yf/93/OEcXstVK5LL6OhGkhQIY3729nvxliDDOt6rZdtjCTolAqLZ3FckhJbvGx7lST8R207Wv9BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:26:59.939913Z"},"content_sha256":"a1998960b32eecec97d2f63a7a4e5e07483e45e8ecae6a9afe82a8cb1037c00d","schema_version":"1.0","event_id":"sha256:a1998960b32eecec97d2f63a7a4e5e07483e45e8ecae6a9afe82a8cb1037c00d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:UOGWAM4XIPED3WQ6EIKRK5KIRK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"All Two-Loop MHV Amplitudes in Multi-Regge Kinematics From Applied Symbology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Anastasia Volovich, A. Prygarin, C. Vergu, Marcus Spradlin","submitted_at":"2011-12-29T18:25:15Z","abstract_excerpt":"Recent progress on scattering amplitudes has benefited from the mathematical technology of symbols for efficiently handling the types of polylogarithm functions which frequently appear in multi-loop computations. The symbol for all two-loop MHV amplitudes in planar SYM theory is known, but explicit analytic formulas for the amplitudes are hard to come by except in special limits where things simplify, such as multi-Regge kinematics. By applying symbology we obtain a formula for the leading behavior of the imaginary part (the Mandelstam cut contribution) of this amplitude in multi-Regge kinemat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.6365","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":"2026-05-18T03:22:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z7RvI7YE4HfO8NSFpB0Hxc1CU5cInrhDoLIT63WpYSF2dV+YK6mZFYlJkdCuCsmchE+55P/l2t2LLGd7zPOBAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:26:59.940620Z"},"content_sha256":"593ede5397905550766a3a3ee8a5bd8593f5b6748ece67f20801cb8193aa846f","schema_version":"1.0","event_id":"sha256:593ede5397905550766a3a3ee8a5bd8593f5b6748ece67f20801cb8193aa846f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UOGWAM4XIPED3WQ6EIKRK5KIRK/bundle.json","state_url":"https://pith.science/pith/UOGWAM4XIPED3WQ6EIKRK5KIRK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UOGWAM4XIPED3WQ6EIKRK5KIRK/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":"2026-05-30T20:26:59Z","links":{"resolver":"https://pith.science/pith/UOGWAM4XIPED3WQ6EIKRK5KIRK","bundle":"https://pith.science/pith/UOGWAM4XIPED3WQ6EIKRK5KIRK/bundle.json","state":"https://pith.science/pith/UOGWAM4XIPED3WQ6EIKRK5KIRK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UOGWAM4XIPED3WQ6EIKRK5KIRK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:UOGWAM4XIPED3WQ6EIKRK5KIRK","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":"a8b32ed718009f3d140fc626444cb077a648d062d5fa002d8ff708ca0242f5b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-29T18:25:15Z","title_canon_sha256":"4dfcad43ab049ba4cc308295c5a9ed9b5b909415f59102d815ff1bec8c65ac78"},"schema_version":"1.0","source":{"id":"1112.6365","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.6365","created_at":"2026-05-18T03:22:53Z"},{"alias_kind":"arxiv_version","alias_value":"1112.6365v2","created_at":"2026-05-18T03:22:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.6365","created_at":"2026-05-18T03:22:53Z"},{"alias_kind":"pith_short_12","alias_value":"UOGWAM4XIPED","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UOGWAM4XIPED3WQ6","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UOGWAM4X","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:593ede5397905550766a3a3ee8a5bd8593f5b6748ece67f20801cb8193aa846f","target":"graph","created_at":"2026-05-18T03:22:53Z","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":"Recent progress on scattering amplitudes has benefited from the mathematical technology of symbols for efficiently handling the types of polylogarithm functions which frequently appear in multi-loop computations. The symbol for all two-loop MHV amplitudes in planar SYM theory is known, but explicit analytic formulas for the amplitudes are hard to come by except in special limits where things simplify, such as multi-Regge kinematics. By applying symbology we obtain a formula for the leading behavior of the imaginary part (the Mandelstam cut contribution) of this amplitude in multi-Regge kinemat","authors_text":"Anastasia Volovich, A. Prygarin, C. Vergu, Marcus Spradlin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-29T18:25:15Z","title":"All Two-Loop MHV Amplitudes in Multi-Regge Kinematics From Applied Symbology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.6365","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:a1998960b32eecec97d2f63a7a4e5e07483e45e8ecae6a9afe82a8cb1037c00d","target":"record","created_at":"2026-05-18T03:22:53Z","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":"a8b32ed718009f3d140fc626444cb077a648d062d5fa002d8ff708ca0242f5b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-29T18:25:15Z","title_canon_sha256":"4dfcad43ab049ba4cc308295c5a9ed9b5b909415f59102d815ff1bec8c65ac78"},"schema_version":"1.0","source":{"id":"1112.6365","kind":"arxiv","version":2}},"canonical_sha256":"a38d60339743c83dda1e22151575488a937134861648e53448ec9b1ad91e2651","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a38d60339743c83dda1e22151575488a937134861648e53448ec9b1ad91e2651","first_computed_at":"2026-05-18T03:22:53.542954Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:53.542954Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i/Y0mqsvI+aa/qXSLkYwo+4t+xspTsSgO5IVG+RetM1+Up36tzlftcZryJ6e4rpAroObk4dVP3FLtrLf0K4FCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:53.543462Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.6365","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1998960b32eecec97d2f63a7a4e5e07483e45e8ecae6a9afe82a8cb1037c00d","sha256:593ede5397905550766a3a3ee8a5bd8593f5b6748ece67f20801cb8193aa846f"],"state_sha256":"61541140c3685c27e787a1e4d54d391c77442f44ec011ed9eead848ef5824991"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GdBNaxdB9aj9Itf8Cy4z/gyqodTM1lEB1zwfp5Res1assRk9p2sS4HlDF4ba8NJfEXjpH9xXqxl+bEETor/7Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T20:26:59.943545Z","bundle_sha256":"b1e321ae336740e4dbf3a5b2c69f0d7ce75c113e013f130665ea3a61bb7ac09f"}}