{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:NNUUE6THNKVCK7UO5AX34SF5KH","short_pith_number":"pith:NNUUE6TH","schema_version":"1.0","canonical_sha256":"6b69427a676aaa257e8ee82fbe48bd51ea724eb43a7326c28d88fc2f33189a22","source":{"kind":"arxiv","id":"1401.6446","version":2},"attestation_state":"computed","paper":{"title":"Cluster Polylogarithms for Scattering Amplitudes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Anastasia Volovich, John Golden, Marcus Spradlin, Miguel F. Paulos","submitted_at":"2014-01-24T20:34:20Z","abstract_excerpt":"Motivated by the cluster structure of two-loop scattering amplitudes in N=4 Yang-Mills theory we define \"cluster polylogarithm functions\". We find that all such functions of weight 4 are made up of a single simple building block associated to the A_2 cluster algebra. Adding the requirement of locality on generalized Stasheff polytopes, we find that these A_2 building blocks arrange themselves to form a unique function associated to the A_3 cluster algebra. This A_3 function manifests all of the cluster algebraic structure of the two-loop n-particle MHV amplitudes for all n, and we use it to pr"},"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":"1401.6446","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-24T20:34:20Z","cross_cats_sorted":[],"title_canon_sha256":"6e1e32313a2e4917bc3edd74ade62d66a7067d1cd25eba6e0da798c4d416c0dd","abstract_canon_sha256":"750079d4574679a743b6826b7e71ef141f1839754ff95b2e577679add4b112b1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:19.050356Z","signature_b64":"arks3TreX65k0siJTQeuMrE+Z84/4JlBWKIL1TrvhUSMX6+3G9SzEIXcvvLdkVVC55c5prL3qOMmwNrLAUx7Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b69427a676aaa257e8ee82fbe48bd51ea724eb43a7326c28d88fc2f33189a22","last_reissued_at":"2026-05-18T02:48:19.049876Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:19.049876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cluster Polylogarithms for Scattering Amplitudes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Anastasia Volovich, John Golden, Marcus Spradlin, Miguel F. Paulos","submitted_at":"2014-01-24T20:34:20Z","abstract_excerpt":"Motivated by the cluster structure of two-loop scattering amplitudes in N=4 Yang-Mills theory we define \"cluster polylogarithm functions\". We find that all such functions of weight 4 are made up of a single simple building block associated to the A_2 cluster algebra. Adding the requirement of locality on generalized Stasheff polytopes, we find that these A_2 building blocks arrange themselves to form a unique function associated to the A_3 cluster algebra. This A_3 function manifests all of the cluster algebraic structure of the two-loop n-particle MHV amplitudes for all n, and we use it to pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6446","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1401.6446","created_at":"2026-05-18T02:48:19.049946+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.6446v2","created_at":"2026-05-18T02:48:19.049946+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.6446","created_at":"2026-05-18T02:48:19.049946+00:00"},{"alias_kind":"pith_short_12","alias_value":"NNUUE6THNKVC","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"NNUUE6THNKVCK7UO","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"NNUUE6TH","created_at":"2026-05-18T12:28:41.024544+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2112.11842","citing_title":"Kinematics, cluster algebras and Feynman integrals","ref_index":12,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NNUUE6THNKVCK7UO5AX34SF5KH","json":"https://pith.science/pith/NNUUE6THNKVCK7UO5AX34SF5KH.json","graph_json":"https://pith.science/api/pith-number/NNUUE6THNKVCK7UO5AX34SF5KH/graph.json","events_json":"https://pith.science/api/pith-number/NNUUE6THNKVCK7UO5AX34SF5KH/events.json","paper":"https://pith.science/paper/NNUUE6TH"},"agent_actions":{"view_html":"https://pith.science/pith/NNUUE6THNKVCK7UO5AX34SF5KH","download_json":"https://pith.science/pith/NNUUE6THNKVCK7UO5AX34SF5KH.json","view_paper":"https://pith.science/paper/NNUUE6TH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.6446&json=true","fetch_graph":"https://pith.science/api/pith-number/NNUUE6THNKVCK7UO5AX34SF5KH/graph.json","fetch_events":"https://pith.science/api/pith-number/NNUUE6THNKVCK7UO5AX34SF5KH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NNUUE6THNKVCK7UO5AX34SF5KH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NNUUE6THNKVCK7UO5AX34SF5KH/action/storage_attestation","attest_author":"https://pith.science/pith/NNUUE6THNKVCK7UO5AX34SF5KH/action/author_attestation","sign_citation":"https://pith.science/pith/NNUUE6THNKVCK7UO5AX34SF5KH/action/citation_signature","submit_replication":"https://pith.science/pith/NNUUE6THNKVCK7UO5AX34SF5KH/action/replication_record"}},"created_at":"2026-05-18T02:48:19.049946+00:00","updated_at":"2026-05-18T02:48:19.049946+00:00"}