{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:A36BU623XUWNG6BFNJXXB753DD","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"199fc88d6b91bbae4a5756e178009807556a008e9f9086117b4048ccb2a00734","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-05-08T19:32:04Z","title_canon_sha256":"d1fc4edf3df3382a9de50bebaee8240d2692e9fd3d06540502ddc074db5129e7"},"schema_version":"1.0","source":{"id":"1705.03054","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.03054","created_at":"2026-05-18T00:44:50Z"},{"alias_kind":"arxiv_version","alias_value":"1705.03054v1","created_at":"2026-05-18T00:44:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.03054","created_at":"2026-05-18T00:44:50Z"},{"alias_kind":"pith_short_12","alias_value":"A36BU623XUWN","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"A36BU623XUWNG6BF","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"A36BU623","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:893527a94575d25312c278b32ccdea3a78d27cc68322e3a8eda083a9c9f44b52","target":"graph","created_at":"2026-05-18T00:44:50Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper, we prove the existence of certain lifts of Hilbert cusp forms to general odd spin groups. We then use those lifts to provide evidence for a conjecture of Gross on the modularity of abelian varieties not of ${\\rm GL}_2$-type.","authors_text":"Clifton Cunningham, Lassina Demb\\'el\\'e","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-05-08T19:32:04Z","title":"Lifts of Hilbert modular forms and application to modularity of abelian varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.03054","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b12511337287278c24a7db08dfe7812544460720b4285818e6f01b6b9982d243","target":"record","created_at":"2026-05-18T00:44:50Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"199fc88d6b91bbae4a5756e178009807556a008e9f9086117b4048ccb2a00734","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-05-08T19:32:04Z","title_canon_sha256":"d1fc4edf3df3382a9de50bebaee8240d2692e9fd3d06540502ddc074db5129e7"},"schema_version":"1.0","source":{"id":"1705.03054","kind":"arxiv","version":1}},"canonical_sha256":"06fc1a7b5bbd2cd378256a6f70ffbb18d9c4efdc17b7a0662b05b648b3d0c461","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06fc1a7b5bbd2cd378256a6f70ffbb18d9c4efdc17b7a0662b05b648b3d0c461","first_computed_at":"2026-05-18T00:44:50.828472Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:50.828472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HppKTTAkWweXAK+TgL7HMCY14qEqOe+vn8wnFFEX9KIw1xRcGIhTvewLsoHmvCi7xv90heVhqUidIdtg3ROaBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:50.829032Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.03054","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b12511337287278c24a7db08dfe7812544460720b4285818e6f01b6b9982d243","sha256:893527a94575d25312c278b32ccdea3a78d27cc68322e3a8eda083a9c9f44b52"],"state_sha256":"3133d242475fac0ebfd1a1df4c19f4b0d18f6ebe3d05a9203e39b43c7ad69054"}