{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:RKFCVNDA7OCUEBON63KL3257JY","short_pith_number":"pith:RKFCVNDA","canonical_record":{"source":{"id":"1306.3243","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-13T20:07:52Z","cross_cats_sorted":[],"title_canon_sha256":"9792b49625a7aa3143a82492774114a8896c6a933699e3265eb4ea75afb40311","abstract_canon_sha256":"99069e7b4e5a4145d9d7ef65ed60f2d42a46c291de06a142f85dce1b48294842"},"schema_version":"1.0"},"canonical_sha256":"8a8a2ab460fb854205cdf6d4bdebbf4e3e19c690f4c6c80e2dc52140a9074363","source":{"kind":"arxiv","id":"1306.3243","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.3243","created_at":"2026-05-18T03:11:35Z"},{"alias_kind":"arxiv_version","alias_value":"1306.3243v2","created_at":"2026-05-18T03:11:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.3243","created_at":"2026-05-18T03:11:35Z"},{"alias_kind":"pith_short_12","alias_value":"RKFCVNDA7OCU","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RKFCVNDA7OCUEBON","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RKFCVNDA","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:RKFCVNDA7OCUEBON63KL3257JY","target":"record","payload":{"canonical_record":{"source":{"id":"1306.3243","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-13T20:07:52Z","cross_cats_sorted":[],"title_canon_sha256":"9792b49625a7aa3143a82492774114a8896c6a933699e3265eb4ea75afb40311","abstract_canon_sha256":"99069e7b4e5a4145d9d7ef65ed60f2d42a46c291de06a142f85dce1b48294842"},"schema_version":"1.0"},"canonical_sha256":"8a8a2ab460fb854205cdf6d4bdebbf4e3e19c690f4c6c80e2dc52140a9074363","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:11:35.593691Z","signature_b64":"0xLkh4ci056J0aN/WWJFSa27tSi2Mk2qGISpnBz+hf1ZXe3sc8GPjyo/z/9aPFxWAIQaS8geiei8LwPL6SVWCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a8a2ab460fb854205cdf6d4bdebbf4e3e19c690f4c6c80e2dc52140a9074363","last_reissued_at":"2026-05-18T03:11:35.592955Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:11:35.592955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.3243","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":"2026-05-18T03:11:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c2wynJNr7f89bzuSYoKNcu078LjCezUgTPp2Hukm9Ozaiwa5LoEB/KIPamqDrfsIpRrbuKQo4CjIfeMSIAiFBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:14:03.130670Z"},"content_sha256":"dcd3d6766f2654647e99a6f64d05a5881b0305468a1744c30af750907cc0958c","schema_version":"1.0","event_id":"sha256:dcd3d6766f2654647e99a6f64d05a5881b0305468a1744c30af750907cc0958c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:RKFCVNDA7OCUEBON63KL3257JY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"ABJM amplitudes and WL at finite N","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alberto Santambrogio, Andrea Mauri, Marco S. Bianchi, Marta Leoni, Matias Leoni, Silvia Penati","submitted_at":"2013-06-13T20:07:52Z","abstract_excerpt":"We evaluate ABJM observables at two loops, for any value of the rank N of the gauge group. We compute the color subleading contributions to the four-point scattering amplitude in ABJM at two loops. Contrary to the four dimensional case, IR divergent N-subleading contributions are proportional to leading poles in the regularization parameter. We then exploit the non-planar calculation for the amplitude to derive an expression for the two-loop Sudakov form factor at any N. In the planar limit the result coincides with the one recently obtained in literature by using Feynman diagrams and unitarit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.3243","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":"2026-05-18T03:11:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZSWtzuhlnm+dhoGq3Dttb6E/qXbwMCMqhi2QQE9WsZatYpgvht58tKwKCsTtGd9C532SohLbscOEnnLwZCPEDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:14:03.131019Z"},"content_sha256":"9472c54cb001f058e46fdfa436d3b451c1418c0f16661d3b8492603b05cb0aee","schema_version":"1.0","event_id":"sha256:9472c54cb001f058e46fdfa436d3b451c1418c0f16661d3b8492603b05cb0aee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RKFCVNDA7OCUEBON63KL3257JY/bundle.json","state_url":"https://pith.science/pith/RKFCVNDA7OCUEBON63KL3257JY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RKFCVNDA7OCUEBON63KL3257JY/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":"2026-05-28T13:14:03Z","links":{"resolver":"https://pith.science/pith/RKFCVNDA7OCUEBON63KL3257JY","bundle":"https://pith.science/pith/RKFCVNDA7OCUEBON63KL3257JY/bundle.json","state":"https://pith.science/pith/RKFCVNDA7OCUEBON63KL3257JY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RKFCVNDA7OCUEBON63KL3257JY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RKFCVNDA7OCUEBON63KL3257JY","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":"99069e7b4e5a4145d9d7ef65ed60f2d42a46c291de06a142f85dce1b48294842","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-13T20:07:52Z","title_canon_sha256":"9792b49625a7aa3143a82492774114a8896c6a933699e3265eb4ea75afb40311"},"schema_version":"1.0","source":{"id":"1306.3243","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.3243","created_at":"2026-05-18T03:11:35Z"},{"alias_kind":"arxiv_version","alias_value":"1306.3243v2","created_at":"2026-05-18T03:11:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.3243","created_at":"2026-05-18T03:11:35Z"},{"alias_kind":"pith_short_12","alias_value":"RKFCVNDA7OCU","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RKFCVNDA7OCUEBON","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RKFCVNDA","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:9472c54cb001f058e46fdfa436d3b451c1418c0f16661d3b8492603b05cb0aee","target":"graph","created_at":"2026-05-18T03:11:35Z","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 evaluate ABJM observables at two loops, for any value of the rank N of the gauge group. We compute the color subleading contributions to the four-point scattering amplitude in ABJM at two loops. Contrary to the four dimensional case, IR divergent N-subleading contributions are proportional to leading poles in the regularization parameter. We then exploit the non-planar calculation for the amplitude to derive an expression for the two-loop Sudakov form factor at any N. In the planar limit the result coincides with the one recently obtained in literature by using Feynman diagrams and unitarit","authors_text":"Alberto Santambrogio, Andrea Mauri, Marco S. Bianchi, Marta Leoni, Matias Leoni, Silvia Penati","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-13T20:07:52Z","title":"ABJM amplitudes and WL at finite N"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.3243","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:dcd3d6766f2654647e99a6f64d05a5881b0305468a1744c30af750907cc0958c","target":"record","created_at":"2026-05-18T03:11:35Z","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":"99069e7b4e5a4145d9d7ef65ed60f2d42a46c291de06a142f85dce1b48294842","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-13T20:07:52Z","title_canon_sha256":"9792b49625a7aa3143a82492774114a8896c6a933699e3265eb4ea75afb40311"},"schema_version":"1.0","source":{"id":"1306.3243","kind":"arxiv","version":2}},"canonical_sha256":"8a8a2ab460fb854205cdf6d4bdebbf4e3e19c690f4c6c80e2dc52140a9074363","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a8a2ab460fb854205cdf6d4bdebbf4e3e19c690f4c6c80e2dc52140a9074363","first_computed_at":"2026-05-18T03:11:35.592955Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:35.592955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0xLkh4ci056J0aN/WWJFSa27tSi2Mk2qGISpnBz+hf1ZXe3sc8GPjyo/z/9aPFxWAIQaS8geiei8LwPL6SVWCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:35.593691Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.3243","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dcd3d6766f2654647e99a6f64d05a5881b0305468a1744c30af750907cc0958c","sha256:9472c54cb001f058e46fdfa436d3b451c1418c0f16661d3b8492603b05cb0aee"],"state_sha256":"f69b0b34ba17224c319f860927988aec18dda26a79d4c3f95dd05b5509532e8b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RbGp4oIp+qJDbhFnm2QXLIhktxyQU5njWqS0muFJxV9iruBEtCC4nHR+MfjLxIizZsQs0KhjYcuvTF0N9rh7BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T13:14:03.132956Z","bundle_sha256":"32c1a16930712d9e717250287bc37a2f8a6879d1a61ac1220917e1353a572dc0"}}