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I3+c*epsilon;z),\n  2F1(I1+1/2+a*epsilon, I2+b*epsilon; I3+1/2+c*epsilon;z),\n  2F1(I1+1/2+a*epsilon,I2+1/2+b*epsilon; I3+1/2+c*epsilon;z), where I1,I2,I3 are an arbitrary integer nonnegative numbers, a,b,c are an arbitrary numbers and epsilon is an arbitrary small parameters, are expressible in terms of the harmonic polylogarithms of Remiddi and Vermaseren with polynomial"},"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":"hep-th/0612240","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-12-21T17:52:31Z","cross_cats_sorted":["cs.SC","hep-ph","math-ph","math.CA","math.MP","physics.comp-ph"],"title_canon_sha256":"f4a4936d64d556592d6eb8d2d1174d1427a8e36b3e7c74229fc02d193f59df9b","abstract_canon_sha256":"8535a25a5711359a95983a073bf1dda01e32cdd423bf77689f940ab476297cb7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:25.355573Z","signature_b64":"t/qexSrewwOMxAiCRYamjQ5mqXedKYniDDsRQt3K6oeGr6sVYTlA4sfGKySTw/Ytg6oJNoF3itbq9NnzOOIeAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af041491219674a7c482126c6371286aed9463936ec86db18b4c080236751274","last_reissued_at":"2026-05-18T04:38:25.355094Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:25.355094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"All order epsilon-expansion of Gauss hypergeometric functions with integer and half/integer values of parameters","license":"","headline":"","cross_cats":["cs.SC","hep-ph","math-ph","math.CA","math.MP","physics.comp-ph"],"primary_cat":"hep-th","authors_text":"B.F.L.Ward, JINR), M.Yu.Kalmykov (Baylor U. & Dubna, S.Yost (Baylor U.)","submitted_at":"2006-12-21T17:52:31Z","abstract_excerpt":"It is proved that the Laurent expansion of the following Gauss hypergeometric functions,\n  2F1(I1+a*epsilon, I2+b*ep; I3+c*epsilon;z),\n  2F1(I1+a*epsilon, I2+b*epsilon;I3+1/2+c*epsilon;z),\n  2F1(I1+1/2+a*epsilon, I2+b*epsilon; I3+c*epsilon;z),\n  2F1(I1+1/2+a*epsilon, I2+b*epsilon; I3+1/2+c*epsilon;z),\n  2F1(I1+1/2+a*epsilon,I2+1/2+b*epsilon; I3+1/2+c*epsilon;z), where I1,I2,I3 are an arbitrary integer nonnegative numbers, a,b,c are an arbitrary numbers and epsilon is an arbitrary small parameters, are expressible in terms of the harmonic polylogarithms of Remiddi and Vermaseren with polynomial"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0612240","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":"hep-th/0612240","created_at":"2026-05-18T04:38:25.355167+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0612240v2","created_at":"2026-05-18T04:38:25.355167+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0612240","created_at":"2026-05-18T04:38:25.355167+00:00"},{"alias_kind":"pith_short_12","alias_value":"V4CBJEJBSZ2K","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_16","alias_value":"V4CBJEJBSZ2KPREC","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_8","alias_value":"V4CBJEJB","created_at":"2026-05-18T12:25:54.717736+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/V4CBJEJBSZ2KPRECCJWGG4JINL","json":"https://pith.science/pith/V4CBJEJBSZ2KPRECCJWGG4JINL.json","graph_json":"https://pith.science/api/pith-number/V4CBJEJBSZ2KPRECCJWGG4JINL/graph.json","events_json":"https://pith.science/api/pith-number/V4CBJEJBSZ2KPRECCJWGG4JINL/events.json","paper":"https://pith.science/paper/V4CBJEJB"},"agent_actions":{"view_html":"https://pith.science/pith/V4CBJEJBSZ2KPRECCJWGG4JINL","download_json":"https://pith.science/pith/V4CBJEJBSZ2KPRECCJWGG4JINL.json","view_paper":"https://pith.science/paper/V4CBJEJB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0612240&json=true","fetch_graph":"https://pith.science/api/pith-number/V4CBJEJBSZ2KPRECCJWGG4JINL/graph.json","fetch_events":"https://pith.science/api/pith-number/V4CBJEJBSZ2KPRECCJWGG4JINL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V4CBJEJBSZ2KPRECCJWGG4JINL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V4CBJEJBSZ2KPRECCJWGG4JINL/action/storage_attestation","attest_author":"https://pith.science/pith/V4CBJEJBSZ2KPRECCJWGG4JINL/action/author_attestation","sign_citation":"https://pith.science/pith/V4CBJEJBSZ2KPRECCJWGG4JINL/action/citation_signature","submit_replication":"https://pith.science/pith/V4CBJEJBSZ2KPRECCJWGG4JINL/action/replication_record"}},"created_at":"2026-05-18T04:38:25.355167+00:00","updated_at":"2026-05-18T04:38:25.355167+00:00"}