{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:ZTU77P4T4WKJYFQC37ZFSWJO7F","short_pith_number":"pith:ZTU77P4T","schema_version":"1.0","canonical_sha256":"cce9ffbf93e5949c1602dff259592ef941e80c0fd28450796861b172c159b067","source":{"kind":"arxiv","id":"2012.12285","version":2},"attestation_state":"computed","paper":{"title":"Cluster algebras for Feynman integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Dmitry Chicherin, Georgios Papathanasiou, Johannes M. Henn","submitted_at":"2020-12-22T19:00:08Z","abstract_excerpt":"We initiate the study of cluster algebras in Feynman integrals in dimensional regularization. We provide evidence that four-point Feynman integrals with one off-shell leg are described by a $C_{2}$ cluster algebra, and we find cluster adjacency relations that restrict the allowed function space. By embedding $C_{2}$ inside the $A_3$ cluster algebra, we identify these adjacencies with the extended Steinmann relations for six-particle massless scattering. The cluster algebra connection we find restricts the functions space for vector boson or Higgs plus jet amplitudes, and for form factors recen"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2012.12285","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-12-22T19:00:08Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"39cf6e936d9d9fe0ceb6781012c262c25775b72eb27c7298527b00a495b86689","abstract_canon_sha256":"6c15b18bd5c3fc961c440cfc4e598337d9e1135b2abde08b5e5f17e6e99e2f30"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:21:41.922151Z","signature_b64":"HaOm4Se4qbQTKIznLQ2vbUa503dcg8E3psnEX17B7VzaRBb4EGt0Toswq1iS9/ymsxMmMbxIljnHCM6QVajyAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cce9ffbf93e5949c1602dff259592ef941e80c0fd28450796861b172c159b067","last_reissued_at":"2026-07-05T02:21:41.921717Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:21:41.921717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cluster algebras for Feynman integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Dmitry Chicherin, Georgios Papathanasiou, Johannes M. Henn","submitted_at":"2020-12-22T19:00:08Z","abstract_excerpt":"We initiate the study of cluster algebras in Feynman integrals in dimensional regularization. We provide evidence that four-point Feynman integrals with one off-shell leg are described by a $C_{2}$ cluster algebra, and we find cluster adjacency relations that restrict the allowed function space. By embedding $C_{2}$ inside the $A_3$ cluster algebra, we identify these adjacencies with the extended Steinmann relations for six-particle massless scattering. The cluster algebra connection we find restricts the functions space for vector boson or Higgs plus jet amplitudes, and for form factors recen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.12285","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2012.12285/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2012.12285","created_at":"2026-07-05T02:21:41.921774+00:00"},{"alias_kind":"arxiv_version","alias_value":"2012.12285v2","created_at":"2026-07-05T02:21:41.921774+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.12285","created_at":"2026-07-05T02:21:41.921774+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZTU77P4T4WKJ","created_at":"2026-07-05T02:21:41.921774+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZTU77P4T4WKJYFQC","created_at":"2026-07-05T02:21:41.921774+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZTU77P4T","created_at":"2026-07-05T02:21:41.921774+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.27801","citing_title":"Bootstrapping two-loop six-gluon amplitudes in QCD","ref_index":16,"is_internal_anchor":false},{"citing_arxiv_id":"2112.11842","citing_title":"Kinematics, cluster algebras and Feynman integrals","ref_index":34,"is_internal_anchor":false},{"citing_arxiv_id":"2511.15381","citing_title":"New algorithms for Feynman integral reduction and $\\varepsilon$-factorised differential equations","ref_index":78,"is_internal_anchor":false},{"citing_arxiv_id":"2605.10041","citing_title":"A Cryptosystem Using Cluster Algebras","ref_index":10,"is_internal_anchor":false},{"citing_arxiv_id":"2605.04009","citing_title":"Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit","ref_index":116,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZTU77P4T4WKJYFQC37ZFSWJO7F","json":"https://pith.science/pith/ZTU77P4T4WKJYFQC37ZFSWJO7F.json","graph_json":"https://pith.science/api/pith-number/ZTU77P4T4WKJYFQC37ZFSWJO7F/graph.json","events_json":"https://pith.science/api/pith-number/ZTU77P4T4WKJYFQC37ZFSWJO7F/events.json","paper":"https://pith.science/paper/ZTU77P4T"},"agent_actions":{"view_html":"https://pith.science/pith/ZTU77P4T4WKJYFQC37ZFSWJO7F","download_json":"https://pith.science/pith/ZTU77P4T4WKJYFQC37ZFSWJO7F.json","view_paper":"https://pith.science/paper/ZTU77P4T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2012.12285&json=true","fetch_graph":"https://pith.science/api/pith-number/ZTU77P4T4WKJYFQC37ZFSWJO7F/graph.json","fetch_events":"https://pith.science/api/pith-number/ZTU77P4T4WKJYFQC37ZFSWJO7F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZTU77P4T4WKJYFQC37ZFSWJO7F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZTU77P4T4WKJYFQC37ZFSWJO7F/action/storage_attestation","attest_author":"https://pith.science/pith/ZTU77P4T4WKJYFQC37ZFSWJO7F/action/author_attestation","sign_citation":"https://pith.science/pith/ZTU77P4T4WKJYFQC37ZFSWJO7F/action/citation_signature","submit_replication":"https://pith.science/pith/ZTU77P4T4WKJYFQC37ZFSWJO7F/action/replication_record"}},"created_at":"2026-07-05T02:21:41.921774+00:00","updated_at":"2026-07-05T02:21:41.921774+00:00"}