{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:N6SF45FQRTKDRIX7I3W3MEC7QO","short_pith_number":"pith:N6SF45FQ","canonical_record":{"source":{"id":"1805.01873","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-04T17:39:11Z","cross_cats_sorted":["hep-ph","math.AG"],"title_canon_sha256":"ab00f405a43ddff981b6b3b294c81dbfaeab57caccddcf6c48314c3cf7e08aaa","abstract_canon_sha256":"3f87933e71266701cd745255a47e96ac8e45d5506474f6f4719fa0aa507a4c2b"},"schema_version":"1.0"},"canonical_sha256":"6fa45e74b08cd438a2ff46edb6105f838115e01e847faa50527d9931e5d6e1c2","source":{"kind":"arxiv","id":"1805.01873","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.01873","created_at":"2026-05-18T00:06:11Z"},{"alias_kind":"arxiv_version","alias_value":"1805.01873v2","created_at":"2026-05-18T00:06:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.01873","created_at":"2026-05-18T00:06:11Z"},{"alias_kind":"pith_short_12","alias_value":"N6SF45FQRTKD","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"N6SF45FQRTKDRIX7","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"N6SF45FQ","created_at":"2026-05-18T12:32:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:N6SF45FQRTKDRIX7I3W3MEC7QO","target":"record","payload":{"canonical_record":{"source":{"id":"1805.01873","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-04T17:39:11Z","cross_cats_sorted":["hep-ph","math.AG"],"title_canon_sha256":"ab00f405a43ddff981b6b3b294c81dbfaeab57caccddcf6c48314c3cf7e08aaa","abstract_canon_sha256":"3f87933e71266701cd745255a47e96ac8e45d5506474f6f4719fa0aa507a4c2b"},"schema_version":"1.0"},"canonical_sha256":"6fa45e74b08cd438a2ff46edb6105f838115e01e847faa50527d9931e5d6e1c2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:11.534293Z","signature_b64":"tC5VarsYLtnIuQaZ2eS+kiwWg8YFjUchAgSNJLOZJV+1vPFtiofQci2YNXeKSBEfNh20elKDSr/LC1llSSv0Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6fa45e74b08cd438a2ff46edb6105f838115e01e847faa50527d9931e5d6e1c2","last_reissued_at":"2026-05-18T00:06:11.533641Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:11.533641Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.01873","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":"2026-05-18T00:06:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fK9LnoeIP8wogLJi5vV6YhtwXue8MK8KtSNB0wx/rLuGFVu6pCt/dX04g1/1nCq3P/1rVbH48zBbDPNK+ZvmCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T11:29:21.260521Z"},"content_sha256":"d5ca4c14b790c528b590cded7b1caa181310ca2393bf57b3802bf275cb290569","schema_version":"1.0","event_id":"sha256:d5ca4c14b790c528b590cded7b1caa181310ca2393bf57b3802bf275cb290569"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:N6SF45FQRTKDRIX7I3W3MEC7QO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math.AG"],"primary_cat":"hep-th","authors_text":"Alessandro Georgoudis, Hans Schoenemann, Janko Boehm, Kasper J. Larsen, Yang Zhang","submitted_at":"2018-05-04T17:39:11Z","abstract_excerpt":"We present the powerful module-intersection integration-by-parts (IBP) method, suitable for multi-loop and multi-scale Feynman integral reduction. Utilizing modern computational algebraic geometry techniques, this new method successfully trims traditional IBP systems dramatically to much simpler integral-relation systems on unitarity cuts. We demonstrate the power of this method by explicitly carrying out the complete analytic reduction of two-loop five-point non-planar hexagon-box integrals, with degree-four numerators, to a basis of $73$ master integrals."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.01873","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":"2026-05-18T00:06:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+r/3MIBIQqcgtn85bM/VJmNFgF/efYbB2KxIIZZ2FxAWOAbQ6DD2s3W8B/8g9i+ZEaMleJ0iiPpnSHOxP1vTDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T11:29:21.261215Z"},"content_sha256":"d7bf8a293c4b6c0f6c3c751d0851771bfa5d90a86e8b3481b6fdd0afe9fe63e9","schema_version":"1.0","event_id":"sha256:d7bf8a293c4b6c0f6c3c751d0851771bfa5d90a86e8b3481b6fdd0afe9fe63e9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N6SF45FQRTKDRIX7I3W3MEC7QO/bundle.json","state_url":"https://pith.science/pith/N6SF45FQRTKDRIX7I3W3MEC7QO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N6SF45FQRTKDRIX7I3W3MEC7QO/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":"2026-05-23T11:29:21Z","links":{"resolver":"https://pith.science/pith/N6SF45FQRTKDRIX7I3W3MEC7QO","bundle":"https://pith.science/pith/N6SF45FQRTKDRIX7I3W3MEC7QO/bundle.json","state":"https://pith.science/pith/N6SF45FQRTKDRIX7I3W3MEC7QO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N6SF45FQRTKDRIX7I3W3MEC7QO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:N6SF45FQRTKDRIX7I3W3MEC7QO","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":"3f87933e71266701cd745255a47e96ac8e45d5506474f6f4719fa0aa507a4c2b","cross_cats_sorted":["hep-ph","math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-04T17:39:11Z","title_canon_sha256":"ab00f405a43ddff981b6b3b294c81dbfaeab57caccddcf6c48314c3cf7e08aaa"},"schema_version":"1.0","source":{"id":"1805.01873","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.01873","created_at":"2026-05-18T00:06:11Z"},{"alias_kind":"arxiv_version","alias_value":"1805.01873v2","created_at":"2026-05-18T00:06:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.01873","created_at":"2026-05-18T00:06:11Z"},{"alias_kind":"pith_short_12","alias_value":"N6SF45FQRTKD","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"N6SF45FQRTKDRIX7","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"N6SF45FQ","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:d7bf8a293c4b6c0f6c3c751d0851771bfa5d90a86e8b3481b6fdd0afe9fe63e9","target":"graph","created_at":"2026-05-18T00:06:11Z","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 present the powerful module-intersection integration-by-parts (IBP) method, suitable for multi-loop and multi-scale Feynman integral reduction. Utilizing modern computational algebraic geometry techniques, this new method successfully trims traditional IBP systems dramatically to much simpler integral-relation systems on unitarity cuts. We demonstrate the power of this method by explicitly carrying out the complete analytic reduction of two-loop five-point non-planar hexagon-box integrals, with degree-four numerators, to a basis of $73$ master integrals.","authors_text":"Alessandro Georgoudis, Hans Schoenemann, Janko Boehm, Kasper J. Larsen, Yang Zhang","cross_cats":["hep-ph","math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-04T17:39:11Z","title":"Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.01873","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:d5ca4c14b790c528b590cded7b1caa181310ca2393bf57b3802bf275cb290569","target":"record","created_at":"2026-05-18T00:06:11Z","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":"3f87933e71266701cd745255a47e96ac8e45d5506474f6f4719fa0aa507a4c2b","cross_cats_sorted":["hep-ph","math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-04T17:39:11Z","title_canon_sha256":"ab00f405a43ddff981b6b3b294c81dbfaeab57caccddcf6c48314c3cf7e08aaa"},"schema_version":"1.0","source":{"id":"1805.01873","kind":"arxiv","version":2}},"canonical_sha256":"6fa45e74b08cd438a2ff46edb6105f838115e01e847faa50527d9931e5d6e1c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6fa45e74b08cd438a2ff46edb6105f838115e01e847faa50527d9931e5d6e1c2","first_computed_at":"2026-05-18T00:06:11.533641Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:11.533641Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tC5VarsYLtnIuQaZ2eS+kiwWg8YFjUchAgSNJLOZJV+1vPFtiofQci2YNXeKSBEfNh20elKDSr/LC1llSSv0Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:11.534293Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.01873","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5ca4c14b790c528b590cded7b1caa181310ca2393bf57b3802bf275cb290569","sha256:d7bf8a293c4b6c0f6c3c751d0851771bfa5d90a86e8b3481b6fdd0afe9fe63e9"],"state_sha256":"a1f61b319da1432916d00f3c92b7c1bade6639ee1c1b332e8f15e493c3b3ea9c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pq3c9knD/wNfmhCo5DVoZGogzx3xVtuM8WwPaldGGy2Uo9tlCWr6k+nVDylEB7ykIThVGKDgHAhXgOUJYp4ZBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T11:29:21.265267Z","bundle_sha256":"a8a2e737273511d0b02a950d583f0fa1b2a6dac59d3ef26e8f7c98d0088492c5"}}