{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WDVBVA7H55T4N5ANYC6UX5U56C","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":"fcb975b9980d1af1b4e12a301d364dfc57acec8bd3715305cb27e2a4489789b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-07-21T16:58:26Z","title_canon_sha256":"d315c7006dc986f5b8f03bbeb8dfc1ca1be69ce46354c13c8702b04223eae9fc"},"schema_version":"1.0","source":{"id":"1507.05913","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.05913","created_at":"2026-05-18T01:15:32Z"},{"alias_kind":"arxiv_version","alias_value":"1507.05913v3","created_at":"2026-05-18T01:15:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.05913","created_at":"2026-05-18T01:15:32Z"},{"alias_kind":"pith_short_12","alias_value":"WDVBVA7H55T4","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WDVBVA7H55T4N5AN","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WDVBVA7H","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:75607abd11fd07341e0a018f83d87cb55ff8e22aa064faeac6f6035ee1d27757","target":"graph","created_at":"2026-05-18T01:15:32Z","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":"Given a prime number l greater than or equal to 5, we construct an infinite family of three-dimensional abelian varieties over Q such that, for any A/Q in the family, the Galois representation \\rho_{A, l}: Gal_Q -> GSp(6, l) attached to the l-torsion of A is surjective. Any such variety A will be the Jacobian of a genus 3 curve over Q whose respective reductions at two auxiliary primes we prescribe to provide us with generators of Sp(6, l).","authors_text":"C\\'ecile Armana, Lara Thomas, Marusia Rebolledo, N\\'uria Vila, Sara Arias-de-Reyna, Valentijn Karemaker","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-07-21T16:58:26Z","title":"Large Galois images for Jacobian varieties of genus 3 curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.05913","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:b3b99f55d7f49e4fc705e59efabe5b4c8880727d2fb88a064985e999140de8cd","target":"record","created_at":"2026-05-18T01:15:32Z","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":"fcb975b9980d1af1b4e12a301d364dfc57acec8bd3715305cb27e2a4489789b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-07-21T16:58:26Z","title_canon_sha256":"d315c7006dc986f5b8f03bbeb8dfc1ca1be69ce46354c13c8702b04223eae9fc"},"schema_version":"1.0","source":{"id":"1507.05913","kind":"arxiv","version":3}},"canonical_sha256":"b0ea1a83e7ef67c6f40dc0bd4bf69df09c6e893cdc8f26bef9f19e5323311ae7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0ea1a83e7ef67c6f40dc0bd4bf69df09c6e893cdc8f26bef9f19e5323311ae7","first_computed_at":"2026-05-18T01:15:32.481244Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:32.481244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SzKE0kR5aPyrOrZRVSKVWvzCYUJp7oEKKD2PD4RZAiNoq+umNMSi6w+BhpKvjpXIFCGuRIzzoLRrbi/ka2aaDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:32.481983Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.05913","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3b99f55d7f49e4fc705e59efabe5b4c8880727d2fb88a064985e999140de8cd","sha256:75607abd11fd07341e0a018f83d87cb55ff8e22aa064faeac6f6035ee1d27757"],"state_sha256":"d2e1225a356259254d7d3a1e06b51de0bc1cdf667c2b799966581c5bd9964daa"}