{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:HBNGXPE53ZRS6XRX4UUN4F2HN2","short_pith_number":"pith:HBNGXPE5","schema_version":"1.0","canonical_sha256":"385a6bbc9dde632f5e37e528de17476ead27ed07c0815141fa59e79b3cbbe39b","source":{"kind":"arxiv","id":"1405.0721","version":3},"attestation_state":"computed","paper":{"title":"Differential operators, pullbacks, and families of automorphic forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Ellen Eischen","submitted_at":"2014-05-04T17:30:20Z","abstract_excerpt":"This paper has two main parts. First, we construct certain differential operators, which generalize operators studied by G. Shimura. Then, as an application of some of these differential operators, we construct certain p-adic families of automorphic forms. Building on the author's earlier work, these differential operators map automorphic forms on a unitary group of signature (n,n) to (vector-valued) automorphic forms on the product $U^\\varphi\\times U^{-\\varphi}$ of two unitary groups, where $U^\\varphi$ denotes the unitary group associated to a Hermitian form $\\varphi$ of arbitrary signature o"},"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":"1405.0721","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-05-04T17:30:20Z","cross_cats_sorted":[],"title_canon_sha256":"57b1903da49e0eccea8e3510dce4e1d8b5522ffb8098a9e3c75891e1deeaeed8","abstract_canon_sha256":"72df85a0b9a9324dd9949121844f29397c556e8cd5ca527600c3f08a1c681388"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:07.280768Z","signature_b64":"SHw3C3F1f72IfmRp8cs1bVA8/NMD6pAIzSKrg/vF6BQJCNWc4GRaA4uaGryYlaN//n3SFxH1Az49+el99hz9Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"385a6bbc9dde632f5e37e528de17476ead27ed07c0815141fa59e79b3cbbe39b","last_reissued_at":"2026-05-18T01:09:07.280357Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:07.280357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Differential operators, pullbacks, and families of automorphic forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Ellen Eischen","submitted_at":"2014-05-04T17:30:20Z","abstract_excerpt":"This paper has two main parts. First, we construct certain differential operators, which generalize operators studied by G. Shimura. Then, as an application of some of these differential operators, we construct certain p-adic families of automorphic forms. Building on the author's earlier work, these differential operators map automorphic forms on a unitary group of signature (n,n) to (vector-valued) automorphic forms on the product $U^\\varphi\\times U^{-\\varphi}$ of two unitary groups, where $U^\\varphi$ denotes the unitary group associated to a Hermitian form $\\varphi$ of arbitrary signature o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0721","kind":"arxiv","version":3},"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":"1405.0721","created_at":"2026-05-18T01:09:07.280423+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.0721v3","created_at":"2026-05-18T01:09:07.280423+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0721","created_at":"2026-05-18T01:09:07.280423+00:00"},{"alias_kind":"pith_short_12","alias_value":"HBNGXPE53ZRS","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"HBNGXPE53ZRS6XRX","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"HBNGXPE5","created_at":"2026-05-18T12:28:30.664211+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/HBNGXPE53ZRS6XRX4UUN4F2HN2","json":"https://pith.science/pith/HBNGXPE53ZRS6XRX4UUN4F2HN2.json","graph_json":"https://pith.science/api/pith-number/HBNGXPE53ZRS6XRX4UUN4F2HN2/graph.json","events_json":"https://pith.science/api/pith-number/HBNGXPE53ZRS6XRX4UUN4F2HN2/events.json","paper":"https://pith.science/paper/HBNGXPE5"},"agent_actions":{"view_html":"https://pith.science/pith/HBNGXPE53ZRS6XRX4UUN4F2HN2","download_json":"https://pith.science/pith/HBNGXPE53ZRS6XRX4UUN4F2HN2.json","view_paper":"https://pith.science/paper/HBNGXPE5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.0721&json=true","fetch_graph":"https://pith.science/api/pith-number/HBNGXPE53ZRS6XRX4UUN4F2HN2/graph.json","fetch_events":"https://pith.science/api/pith-number/HBNGXPE53ZRS6XRX4UUN4F2HN2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HBNGXPE53ZRS6XRX4UUN4F2HN2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HBNGXPE53ZRS6XRX4UUN4F2HN2/action/storage_attestation","attest_author":"https://pith.science/pith/HBNGXPE53ZRS6XRX4UUN4F2HN2/action/author_attestation","sign_citation":"https://pith.science/pith/HBNGXPE53ZRS6XRX4UUN4F2HN2/action/citation_signature","submit_replication":"https://pith.science/pith/HBNGXPE53ZRS6XRX4UUN4F2HN2/action/replication_record"}},"created_at":"2026-05-18T01:09:07.280423+00:00","updated_at":"2026-05-18T01:09:07.280423+00:00"}