{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QQXED4MPSNWZ34QPGRYYI7COO6","short_pith_number":"pith:QQXED4MP","canonical_record":{"source":{"id":"1807.11522","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-30T18:37:03Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"0880d1f50105b256495b503d6fe20738bf6ac7508d3e8d9f773337fbc8c1a54c","abstract_canon_sha256":"7422f2c5d1d54755aa898b43461df0310ebaa0c50c9bca3213412621e987148b"},"schema_version":"1.0"},"canonical_sha256":"842e41f18f936d9df20f3471847c4e77b68b41d2eb1bc5ce63683c336649ed09","source":{"kind":"arxiv","id":"1807.11522","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.11522","created_at":"2026-05-17T23:57:02Z"},{"alias_kind":"arxiv_version","alias_value":"1807.11522v2","created_at":"2026-05-17T23:57:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.11522","created_at":"2026-05-17T23:57:02Z"},{"alias_kind":"pith_short_12","alias_value":"QQXED4MPSNWZ","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QQXED4MPSNWZ34QP","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QQXED4MP","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QQXED4MPSNWZ34QPGRYYI7COO6","target":"record","payload":{"canonical_record":{"source":{"id":"1807.11522","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-30T18:37:03Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"0880d1f50105b256495b503d6fe20738bf6ac7508d3e8d9f773337fbc8c1a54c","abstract_canon_sha256":"7422f2c5d1d54755aa898b43461df0310ebaa0c50c9bca3213412621e987148b"},"schema_version":"1.0"},"canonical_sha256":"842e41f18f936d9df20f3471847c4e77b68b41d2eb1bc5ce63683c336649ed09","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:02.763730Z","signature_b64":"MmMafTE907zw+SivF4V414YTmfiAb7bnupaBoy6Z/0fu78ogHo72beJ2TdPxLncNAu28S8Ua4VMI2249Dy+PCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"842e41f18f936d9df20f3471847c4e77b68b41d2eb1bc5ce63683c336649ed09","last_reissued_at":"2026-05-17T23:57:02.763108Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:02.763108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.11522","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":"2026-05-17T23:57:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gzCXruSrpQulcSztBNz4dl7C49tGDHykeTceg4fA9mNpaWpxld9jG2Cy+NausXr5oXX8SSb5zEQLd7F5M7tLAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:05:19.743588Z"},"content_sha256":"0c7251f4836386c774d1f4a494e6d395ed7b8477e0c1c31590b954e67747e2df","schema_version":"1.0","event_id":"sha256:0c7251f4836386c774d1f4a494e6d395ed7b8477e0c1c31590b954e67747e2df"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QQXED4MPSNWZ34QPGRYYI7COO6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Differential equations from unitarity cuts: nonplanar hexa-box integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Ben Page, Mao Zeng, Samuel Abreu","submitted_at":"2018-07-30T18:37:03Z","abstract_excerpt":"We compute $\\epsilon$-factorized differential equations for all dimensionally-regularized integrals of the nonplanar hexa-box topology, which contribute for instance to 2-loop 5-point QCD amplitudes. A full set of pure integrals is presented. For 5-point planar topologies, Gram determinants which vanish in $4$ dimensions are used to build compact expressions for pure integrals. Using unitarity cuts and computational algebraic geometry, we obtain a compact IBP system which can be solved in 8 hours on a single CPU core, overcoming a major bottleneck for deriving the differential equations. Alter"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.11522","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":"2026-05-17T23:57:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wrn7lGaaPZRWm3fTz6Vf5lCGZZZSJRKAAMOuoW2umeWx/nY1KiMEY/Fe2YMDoxpV97dgiiFiulQ7EQr8fEjXDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:05:19.744215Z"},"content_sha256":"cc576b044f396a0b22719acfe64b50b099df1b1c1ffae6a25819a31438afcacb","schema_version":"1.0","event_id":"sha256:cc576b044f396a0b22719acfe64b50b099df1b1c1ffae6a25819a31438afcacb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QQXED4MPSNWZ34QPGRYYI7COO6/bundle.json","state_url":"https://pith.science/pith/QQXED4MPSNWZ34QPGRYYI7COO6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QQXED4MPSNWZ34QPGRYYI7COO6/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":"2026-05-25T22:05:19Z","links":{"resolver":"https://pith.science/pith/QQXED4MPSNWZ34QPGRYYI7COO6","bundle":"https://pith.science/pith/QQXED4MPSNWZ34QPGRYYI7COO6/bundle.json","state":"https://pith.science/pith/QQXED4MPSNWZ34QPGRYYI7COO6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QQXED4MPSNWZ34QPGRYYI7COO6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QQXED4MPSNWZ34QPGRYYI7COO6","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":"7422f2c5d1d54755aa898b43461df0310ebaa0c50c9bca3213412621e987148b","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-30T18:37:03Z","title_canon_sha256":"0880d1f50105b256495b503d6fe20738bf6ac7508d3e8d9f773337fbc8c1a54c"},"schema_version":"1.0","source":{"id":"1807.11522","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.11522","created_at":"2026-05-17T23:57:02Z"},{"alias_kind":"arxiv_version","alias_value":"1807.11522v2","created_at":"2026-05-17T23:57:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.11522","created_at":"2026-05-17T23:57:02Z"},{"alias_kind":"pith_short_12","alias_value":"QQXED4MPSNWZ","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QQXED4MPSNWZ34QP","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QQXED4MP","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:cc576b044f396a0b22719acfe64b50b099df1b1c1ffae6a25819a31438afcacb","target":"graph","created_at":"2026-05-17T23:57:02Z","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 compute $\\epsilon$-factorized differential equations for all dimensionally-regularized integrals of the nonplanar hexa-box topology, which contribute for instance to 2-loop 5-point QCD amplitudes. A full set of pure integrals is presented. For 5-point planar topologies, Gram determinants which vanish in $4$ dimensions are used to build compact expressions for pure integrals. Using unitarity cuts and computational algebraic geometry, we obtain a compact IBP system which can be solved in 8 hours on a single CPU core, overcoming a major bottleneck for deriving the differential equations. Alter","authors_text":"Ben Page, Mao Zeng, Samuel Abreu","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-30T18:37:03Z","title":"Differential equations from unitarity cuts: nonplanar hexa-box integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.11522","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":"sha256:0c7251f4836386c774d1f4a494e6d395ed7b8477e0c1c31590b954e67747e2df","target":"record","created_at":"2026-05-17T23:57:02Z","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":"7422f2c5d1d54755aa898b43461df0310ebaa0c50c9bca3213412621e987148b","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-30T18:37:03Z","title_canon_sha256":"0880d1f50105b256495b503d6fe20738bf6ac7508d3e8d9f773337fbc8c1a54c"},"schema_version":"1.0","source":{"id":"1807.11522","kind":"arxiv","version":2}},"canonical_sha256":"842e41f18f936d9df20f3471847c4e77b68b41d2eb1bc5ce63683c336649ed09","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"842e41f18f936d9df20f3471847c4e77b68b41d2eb1bc5ce63683c336649ed09","first_computed_at":"2026-05-17T23:57:02.763108Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:02.763108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MmMafTE907zw+SivF4V414YTmfiAb7bnupaBoy6Z/0fu78ogHo72beJ2TdPxLncNAu28S8Ua4VMI2249Dy+PCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:02.763730Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.11522","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c7251f4836386c774d1f4a494e6d395ed7b8477e0c1c31590b954e67747e2df","sha256:cc576b044f396a0b22719acfe64b50b099df1b1c1ffae6a25819a31438afcacb"],"state_sha256":"caee130853342722b67a862b3b51ac27abd49191480bf2e5d11b780bc1f17f55"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IkLYDmrQ64UKV7VOGCQEyyWMhnKxgg+UsY5IkfGa2bCgSIhX/Lj0xAJZwBqPopCoc8ONNttJNYeDUx09524BBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:05:19.748184Z","bundle_sha256":"cb77f20d11264eff1d50aaa74bb23e3b0e28fc5e73d8b07b4d449e9372716d18"}}