{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:II277SCVQJ45DGRNQSVF2JNXIL","short_pith_number":"pith:II277SCV","canonical_record":{"source":{"id":"1109.6676","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-09-29T21:17:41Z","cross_cats_sorted":[],"title_canon_sha256":"95def3f58b7462ff147d81424726515ac665e9f8b0aa289cf59c9f0d3cc1f9aa","abstract_canon_sha256":"5f7d0676421ad9e7d3a8c36c61398f1c6e4ea0abb089e07438e52878df42d07a"},"schema_version":"1.0"},"canonical_sha256":"4235ffc8558279d19a2d84aa5d25b742e93200a18edffc3b76466e49d918b4a5","source":{"kind":"arxiv","id":"1109.6676","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6676","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6676v1","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6676","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"pith_short_12","alias_value":"II277SCVQJ45","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"II277SCVQJ45DGRN","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"II277SCV","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:II277SCVQJ45DGRNQSVF2JNXIL","target":"record","payload":{"canonical_record":{"source":{"id":"1109.6676","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-09-29T21:17:41Z","cross_cats_sorted":[],"title_canon_sha256":"95def3f58b7462ff147d81424726515ac665e9f8b0aa289cf59c9f0d3cc1f9aa","abstract_canon_sha256":"5f7d0676421ad9e7d3a8c36c61398f1c6e4ea0abb089e07438e52878df42d07a"},"schema_version":"1.0"},"canonical_sha256":"4235ffc8558279d19a2d84aa5d25b742e93200a18edffc3b76466e49d918b4a5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:00.401006Z","signature_b64":"2/HmDJdajFT/DFI8snISyG9rSgNS/YtFMBFTlXrNawC7fCE5y7ak0WKeYj1dr5Fm4z2vTaVmbPmFjAdJzHx/Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4235ffc8558279d19a2d84aa5d25b742e93200a18edffc3b76466e49d918b4a5","last_reissued_at":"2026-05-18T02:58:00.400249Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:00.400249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.6676","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:58:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4w/hf+UjwihazdExGvyw1s4DwVi2ybaq7qm57jKHqmuarP7cwiGPhVP0zjys75nOfCBKGAOMQl/T7EMndiBaBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T17:37:24.737121Z"},"content_sha256":"2b26b46188489862fdddaacc440fe9012edb87dad8e9f74f977d71312bf98248","schema_version":"1.0","event_id":"sha256:2b26b46188489862fdddaacc440fe9012edb87dad8e9f74f977d71312bf98248"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:II277SCVQJ45DGRNQSVF2JNXIL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On uniform large Galois images for modular abelian varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Eknath Ghate, Pierre Parent","submitted_at":"2011-09-29T21:17:41Z","abstract_excerpt":"We formulate a question regarding uniform versions of \"large Galois image properties\" for modular abelian varieties of higher dimension, generalizing the well-known case of elliptic curves. We then answer our question affirmatively in the exceptional image case, and provide lower estimates for uniform bounds in the remaining cases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6676","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:58:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2o4Oy78NCKaECUCLGFN1As0znd41mfuBPdVJNXkJneuZgo++oZY68/ZBBigqX3KmGOC/K1kSgCijthOIk5XLBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T17:37:24.737857Z"},"content_sha256":"d5019e8e5466ee119763c84649c261ebf5b95011c541b0db2a1aebe53e4919c0","schema_version":"1.0","event_id":"sha256:d5019e8e5466ee119763c84649c261ebf5b95011c541b0db2a1aebe53e4919c0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/II277SCVQJ45DGRNQSVF2JNXIL/bundle.json","state_url":"https://pith.science/pith/II277SCVQJ45DGRNQSVF2JNXIL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/II277SCVQJ45DGRNQSVF2JNXIL/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T17:37:24Z","links":{"resolver":"https://pith.science/pith/II277SCVQJ45DGRNQSVF2JNXIL","bundle":"https://pith.science/pith/II277SCVQJ45DGRNQSVF2JNXIL/bundle.json","state":"https://pith.science/pith/II277SCVQJ45DGRNQSVF2JNXIL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/II277SCVQJ45DGRNQSVF2JNXIL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:II277SCVQJ45DGRNQSVF2JNXIL","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":"5f7d0676421ad9e7d3a8c36c61398f1c6e4ea0abb089e07438e52878df42d07a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-09-29T21:17:41Z","title_canon_sha256":"95def3f58b7462ff147d81424726515ac665e9f8b0aa289cf59c9f0d3cc1f9aa"},"schema_version":"1.0","source":{"id":"1109.6676","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6676","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6676v1","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6676","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"pith_short_12","alias_value":"II277SCVQJ45","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"II277SCVQJ45DGRN","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"II277SCV","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:d5019e8e5466ee119763c84649c261ebf5b95011c541b0db2a1aebe53e4919c0","target":"graph","created_at":"2026-05-18T02:58:00Z","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":"We formulate a question regarding uniform versions of \"large Galois image properties\" for modular abelian varieties of higher dimension, generalizing the well-known case of elliptic curves. We then answer our question affirmatively in the exceptional image case, and provide lower estimates for uniform bounds in the remaining cases.","authors_text":"Eknath Ghate, Pierre Parent","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-09-29T21:17:41Z","title":"On uniform large Galois images for modular abelian varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6676","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":"sha256:2b26b46188489862fdddaacc440fe9012edb87dad8e9f74f977d71312bf98248","target":"record","created_at":"2026-05-18T02:58:00Z","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":"5f7d0676421ad9e7d3a8c36c61398f1c6e4ea0abb089e07438e52878df42d07a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-09-29T21:17:41Z","title_canon_sha256":"95def3f58b7462ff147d81424726515ac665e9f8b0aa289cf59c9f0d3cc1f9aa"},"schema_version":"1.0","source":{"id":"1109.6676","kind":"arxiv","version":1}},"canonical_sha256":"4235ffc8558279d19a2d84aa5d25b742e93200a18edffc3b76466e49d918b4a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4235ffc8558279d19a2d84aa5d25b742e93200a18edffc3b76466e49d918b4a5","first_computed_at":"2026-05-18T02:58:00.400249Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:00.400249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2/HmDJdajFT/DFI8snISyG9rSgNS/YtFMBFTlXrNawC7fCE5y7ak0WKeYj1dr5Fm4z2vTaVmbPmFjAdJzHx/Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:00.401006Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.6676","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b26b46188489862fdddaacc440fe9012edb87dad8e9f74f977d71312bf98248","sha256:d5019e8e5466ee119763c84649c261ebf5b95011c541b0db2a1aebe53e4919c0"],"state_sha256":"9c4a6d4852bec7377ddb59d0e211d28e8fd173af9381b6cc51515f7fedc0dd35"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gwjqt+LpXIr0i45i1OuoMCJyVIrpuRa1bWqXD2O6IcYj7rF7w/+/i1HzqWE0kIXAmXpMTq010NioF4Lkpl9ZDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T17:37:24.742387Z","bundle_sha256":"ee4c4a785a558a7e926255ff451a6cdea2ded9f18f5c7cf0ebf9b4ca644ebed0"}}