{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:EZNLWVCMZVVYC3YV47OOWYYFOS","short_pith_number":"pith:EZNLWVCM","canonical_record":{"source":{"id":"2110.15844","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-10-29T15:08:21Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"98888ccdfeb15f1608b44ca40f61427ce3e3e6dd0aa746cd79f1c9b88c8775fe","abstract_canon_sha256":"90b2e7aed5098dab2bd47a486eba8b7be30e7ef11268d86a682b09b1ed644e1e"},"schema_version":"1.0"},"canonical_sha256":"265abb544ccd6b816f15e7dceb63057489b0501525df5f173ef3e7d33a4ce3b2","source":{"kind":"arxiv","id":"2110.15844","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.15844","created_at":"2026-07-05T03:27:14Z"},{"alias_kind":"arxiv_version","alias_value":"2110.15844v1","created_at":"2026-07-05T03:27:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.15844","created_at":"2026-07-05T03:27:14Z"},{"alias_kind":"pith_short_12","alias_value":"EZNLWVCMZVVY","created_at":"2026-07-05T03:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"EZNLWVCMZVVYC3YV","created_at":"2026-07-05T03:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"EZNLWVCM","created_at":"2026-07-05T03:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:EZNLWVCMZVVYC3YV47OOWYYFOS","target":"record","payload":{"canonical_record":{"source":{"id":"2110.15844","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-10-29T15:08:21Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"98888ccdfeb15f1608b44ca40f61427ce3e3e6dd0aa746cd79f1c9b88c8775fe","abstract_canon_sha256":"90b2e7aed5098dab2bd47a486eba8b7be30e7ef11268d86a682b09b1ed644e1e"},"schema_version":"1.0"},"canonical_sha256":"265abb544ccd6b816f15e7dceb63057489b0501525df5f173ef3e7d33a4ce3b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:27:14.993722Z","signature_b64":"ZD5Q+1oqX4KO4PtnsgFkHWu7n/1me6yIwDIcWShQE+QgcVTP9bahiboxPmfdZhqEKm8oWacmjJKC1iSxHHHUBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"265abb544ccd6b816f15e7dceb63057489b0501525df5f173ef3e7d33a4ce3b2","last_reissued_at":"2026-07-05T03:27:14.993324Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:27:14.993324Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2110.15844","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":"2026-07-05T03:27:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1Sssi+KZ6XSGWaNj9Fk0ef66BTev07LjekRWhq0FPQLLp6qz8DKT5PXRX8RuhB0v57sOKlTXafQfsZMvB2/7Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T14:45:31.162789Z"},"content_sha256":"c6ee126abd8fab3dc812909356a6468fe79c0c1027290a48225c28fe7a3b0c32","schema_version":"1.0","event_id":"sha256:c6ee126abd8fab3dc812909356a6468fe79c0c1027290a48225c28fe7a3b0c32"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:EZNLWVCMZVVYC3YV47OOWYYFOS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Master integrals contributing to two-loop leading colour QCD helicity amplitudes for top-quark pair production in the gluon fusion channel","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Ekta Chaubey","submitted_at":"2021-10-29T15:08:21Z","abstract_excerpt":"We present the master integrals relevant for computing the complete set of leading-colour analytic helicity amplitudes for top-quark pair production via gluon fusion at two-loops in QCD. We include corrections due to massive fermion loops which give rise to integrals involving elliptic curves. We also elaborate on the structure of singularities that play an important role in the numerical evaluation of the iterated integrals and their analytic continuation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.15844","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2110.15844/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":"2026-07-05T03:27:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8dVV3OEAN0Q3QEpzmTSSN4/SawYCuRnYlEmt2xGtk7MI0FbNVK4ilYFqRZgxjaKkQkxAnhMuidpzRsq8RO+1AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T14:45:31.163329Z"},"content_sha256":"7895ca75fa69018fb51a136cbfd3e78832fb2fd5d42c5cc3061869b8fc2e5712","schema_version":"1.0","event_id":"sha256:7895ca75fa69018fb51a136cbfd3e78832fb2fd5d42c5cc3061869b8fc2e5712"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EZNLWVCMZVVYC3YV47OOWYYFOS/bundle.json","state_url":"https://pith.science/pith/EZNLWVCMZVVYC3YV47OOWYYFOS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EZNLWVCMZVVYC3YV47OOWYYFOS/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":"2026-08-10T14:45:31Z","links":{"resolver":"https://pith.science/pith/EZNLWVCMZVVYC3YV47OOWYYFOS","bundle":"https://pith.science/pith/EZNLWVCMZVVYC3YV47OOWYYFOS/bundle.json","state":"https://pith.science/pith/EZNLWVCMZVVYC3YV47OOWYYFOS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EZNLWVCMZVVYC3YV47OOWYYFOS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:EZNLWVCMZVVYC3YV47OOWYYFOS","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":"90b2e7aed5098dab2bd47a486eba8b7be30e7ef11268d86a682b09b1ed644e1e","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-10-29T15:08:21Z","title_canon_sha256":"98888ccdfeb15f1608b44ca40f61427ce3e3e6dd0aa746cd79f1c9b88c8775fe"},"schema_version":"1.0","source":{"id":"2110.15844","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.15844","created_at":"2026-07-05T03:27:14Z"},{"alias_kind":"arxiv_version","alias_value":"2110.15844v1","created_at":"2026-07-05T03:27:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.15844","created_at":"2026-07-05T03:27:14Z"},{"alias_kind":"pith_short_12","alias_value":"EZNLWVCMZVVY","created_at":"2026-07-05T03:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"EZNLWVCMZVVYC3YV","created_at":"2026-07-05T03:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"EZNLWVCM","created_at":"2026-07-05T03:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:7895ca75fa69018fb51a136cbfd3e78832fb2fd5d42c5cc3061869b8fc2e5712","target":"graph","created_at":"2026-07-05T03:27:14Z","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/2110.15844/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present the master integrals relevant for computing the complete set of leading-colour analytic helicity amplitudes for top-quark pair production via gluon fusion at two-loops in QCD. We include corrections due to massive fermion loops which give rise to integrals involving elliptic curves. We also elaborate on the structure of singularities that play an important role in the numerical evaluation of the iterated integrals and their analytic continuation.","authors_text":"Ekta Chaubey","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-10-29T15:08:21Z","title":"Master integrals contributing to two-loop leading colour QCD helicity amplitudes for top-quark pair production in the gluon fusion channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.15844","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:c6ee126abd8fab3dc812909356a6468fe79c0c1027290a48225c28fe7a3b0c32","target":"record","created_at":"2026-07-05T03:27:14Z","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":"90b2e7aed5098dab2bd47a486eba8b7be30e7ef11268d86a682b09b1ed644e1e","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-10-29T15:08:21Z","title_canon_sha256":"98888ccdfeb15f1608b44ca40f61427ce3e3e6dd0aa746cd79f1c9b88c8775fe"},"schema_version":"1.0","source":{"id":"2110.15844","kind":"arxiv","version":1}},"canonical_sha256":"265abb544ccd6b816f15e7dceb63057489b0501525df5f173ef3e7d33a4ce3b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"265abb544ccd6b816f15e7dceb63057489b0501525df5f173ef3e7d33a4ce3b2","first_computed_at":"2026-07-05T03:27:14.993324Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:27:14.993324Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZD5Q+1oqX4KO4PtnsgFkHWu7n/1me6yIwDIcWShQE+QgcVTP9bahiboxPmfdZhqEKm8oWacmjJKC1iSxHHHUBw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:27:14.993722Z","signed_message":"canonical_sha256_bytes"},"source_id":"2110.15844","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6ee126abd8fab3dc812909356a6468fe79c0c1027290a48225c28fe7a3b0c32","sha256:7895ca75fa69018fb51a136cbfd3e78832fb2fd5d42c5cc3061869b8fc2e5712"],"state_sha256":"aa0ce87d462a6a5806e95772c7fe25c6c1e1dea00b20e75f6239b916301fafc8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aYZGj2ys59JGe46dM2bBr6pBEd/SQd2N8HOYfDgjZ75dUs7XmhS97XTxXHvHKnyitOwrMa801V96i95eKG5UAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T14:45:31.168230Z","bundle_sha256":"2e3c00699a0c99fcbdc6e0c122f31afda2ba1270d82f9b7e64cdf713de641624"}}