{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:KT5KY2RXTKVYWTB7R5F7K3T4HR","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":"1e5d212da7993b73c02b8c732f9b757bc44152e064b6f9ce1cc8453493e079e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-03-29T15:08:12Z","title_canon_sha256":"f5fce6e40531d3e1e51a2ccea394bc01e7be396781b226216c0639e00dfc1807"},"schema_version":"1.0","source":{"id":"1203.6552","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6552","created_at":"2026-05-18T01:20:37Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6552v3","created_at":"2026-05-18T01:20:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6552","created_at":"2026-05-18T01:20:37Z"},{"alias_kind":"pith_short_12","alias_value":"KT5KY2RXTKVY","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KT5KY2RXTKVYWTB7","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KT5KY2RX","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:2947eaa6210e57883189a950b7a665ef83a8a316537d08c3c1b5861282983e60","target":"graph","created_at":"2026-05-18T01:20:37Z","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":"This article is the second part of a series of three articles about compatible systems of symplectic Galois representations and applications to the inverse Galois problem. This part is concerned with symplectic Galois representations having a huge residual image, by which we mean that a symplectic group of full dimension over the prime field is contained up to conjugation. A key ingredient is a classification of symplectic representations whose image contains a nontrivial transvection: these fall into three very simply describable classes, the reducible ones, the induced ones and those with hu","authors_text":"Gabor Wiese, Luis Dieulefait, Sara Arias-de-Reyna","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-03-29T15:08:12Z","title":"Compatible systems of symplectic Galois representations and the inverse Galois problem II. Transvections and huge image"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6552","kind":"arxiv","version":3},"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":"sha256:7bbcb9908fac5f2cf861af86de54e6e2662a72490ab0cdfa580fcacaf90264ff","target":"record","created_at":"2026-05-18T01:20:37Z","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":"1e5d212da7993b73c02b8c732f9b757bc44152e064b6f9ce1cc8453493e079e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-03-29T15:08:12Z","title_canon_sha256":"f5fce6e40531d3e1e51a2ccea394bc01e7be396781b226216c0639e00dfc1807"},"schema_version":"1.0","source":{"id":"1203.6552","kind":"arxiv","version":3}},"canonical_sha256":"54faac6a379aab8b4c3f8f4bf56e7c3c4228401db0bc625274e5fe223d43cfa8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"54faac6a379aab8b4c3f8f4bf56e7c3c4228401db0bc625274e5fe223d43cfa8","first_computed_at":"2026-05-18T01:20:37.207489Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:37.207489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YAGFQzoatsR4lHq9QETojWcY34Yprwhg1tKz1FLkXdAzPaQva13HS9Ooe7kTQ1hNDh1NI7a4nADGMyW+GIZNAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:37.208118Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.6552","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7bbcb9908fac5f2cf861af86de54e6e2662a72490ab0cdfa580fcacaf90264ff","sha256:2947eaa6210e57883189a950b7a665ef83a8a316537d08c3c1b5861282983e60"],"state_sha256":"83955843f9af7aff13a30bcfc38e76dab3eaf924a6a3255a18f72377c585b653"}