{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:BXPYG3MWGSKLGYXTWLNBYFKZJJ","short_pith_number":"pith:BXPYG3MW","schema_version":"1.0","canonical_sha256":"0ddf836d963494b362f3b2da1c15594a61e2e76b43ff4e96b9fc435842d0cfcf","source":{"kind":"arxiv","id":"1112.1001","version":1},"attestation_state":"computed","paper":{"title":"Algebraic transformations of hypergeometric functions and automorphic forms on Shimura curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.NT","authors_text":"Fang-Ting Tu, Yifan Yang","submitted_at":"2011-12-05T17:05:44Z","abstract_excerpt":"In this paper, we will obtain new algebraic transformations of the $_2F_1$-hypergeometric functions. The main novelty in our approach is the interpretation of identities among $_2F_1$-hypergeometric functions as identities among automorphic forms on different Shimura curves."},"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":"1112.1001","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-12-05T17:05:44Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"08db573c15c7ee121e7aaf6923a853c7611d19108cbdc9998288b8316992e2d8","abstract_canon_sha256":"8e1cd976b00743c28203654e16fd3b7c035ddf5dcfcdb14a0a2f3fa757b0b2b4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:06:57.276808Z","signature_b64":"JNux7O0NBI0rNndzueET4OLM6rRMfdmslqGwwfRyHr1qeoqunJ0CIaTTMTqFq3uDlVUzfDg+KXJizYycwl6zCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ddf836d963494b362f3b2da1c15594a61e2e76b43ff4e96b9fc435842d0cfcf","last_reissued_at":"2026-05-18T04:06:57.276118Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:06:57.276118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Algebraic transformations of hypergeometric functions and automorphic forms on Shimura curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.NT","authors_text":"Fang-Ting Tu, Yifan Yang","submitted_at":"2011-12-05T17:05:44Z","abstract_excerpt":"In this paper, we will obtain new algebraic transformations of the $_2F_1$-hypergeometric functions. The main novelty in our approach is the interpretation of identities among $_2F_1$-hypergeometric functions as identities among automorphic forms on different Shimura curves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1001","kind":"arxiv","version":1},"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":"1112.1001","created_at":"2026-05-18T04:06:57.276219+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.1001v1","created_at":"2026-05-18T04:06:57.276219+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1001","created_at":"2026-05-18T04:06:57.276219+00:00"},{"alias_kind":"pith_short_12","alias_value":"BXPYG3MWGSKL","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BXPYG3MWGSKLGYXT","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BXPYG3MW","created_at":"2026-05-18T12:26:24.575870+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/BXPYG3MWGSKLGYXTWLNBYFKZJJ","json":"https://pith.science/pith/BXPYG3MWGSKLGYXTWLNBYFKZJJ.json","graph_json":"https://pith.science/api/pith-number/BXPYG3MWGSKLGYXTWLNBYFKZJJ/graph.json","events_json":"https://pith.science/api/pith-number/BXPYG3MWGSKLGYXTWLNBYFKZJJ/events.json","paper":"https://pith.science/paper/BXPYG3MW"},"agent_actions":{"view_html":"https://pith.science/pith/BXPYG3MWGSKLGYXTWLNBYFKZJJ","download_json":"https://pith.science/pith/BXPYG3MWGSKLGYXTWLNBYFKZJJ.json","view_paper":"https://pith.science/paper/BXPYG3MW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.1001&json=true","fetch_graph":"https://pith.science/api/pith-number/BXPYG3MWGSKLGYXTWLNBYFKZJJ/graph.json","fetch_events":"https://pith.science/api/pith-number/BXPYG3MWGSKLGYXTWLNBYFKZJJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BXPYG3MWGSKLGYXTWLNBYFKZJJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BXPYG3MWGSKLGYXTWLNBYFKZJJ/action/storage_attestation","attest_author":"https://pith.science/pith/BXPYG3MWGSKLGYXTWLNBYFKZJJ/action/author_attestation","sign_citation":"https://pith.science/pith/BXPYG3MWGSKLGYXTWLNBYFKZJJ/action/citation_signature","submit_replication":"https://pith.science/pith/BXPYG3MWGSKLGYXTWLNBYFKZJJ/action/replication_record"}},"created_at":"2026-05-18T04:06:57.276219+00:00","updated_at":"2026-05-18T04:06:57.276219+00:00"}