{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ORUL7WEK7N37CDCSAYQ4334TEY","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":"26ea408f23b94f868c27d03d0abdf6d016a894f54d7d81220aedb6d155429b4c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-07-09T11:24:44Z","title_canon_sha256":"0a0d9ed69d13bc8445ab3b8ad766b4e92754924814bc6f7aa6ff659af2b19bfd"},"schema_version":"1.0","source":{"id":"1207.2009","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.2009","created_at":"2026-05-18T03:51:26Z"},{"alias_kind":"arxiv_version","alias_value":"1207.2009v1","created_at":"2026-05-18T03:51:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.2009","created_at":"2026-05-18T03:51:26Z"},{"alias_kind":"pith_short_12","alias_value":"ORUL7WEK7N37","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"ORUL7WEK7N37CDCS","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"ORUL7WEK","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:f813ed8ddd53548fd5a7706f5c073a33f7b74b9a5072e26ccbe6f3cc395a4ed0","target":"graph","created_at":"2026-05-18T03:51:26Z","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 give a procedure to determine equations for the modular curves $X_0(N)$ which are bielliptic and equations for the 30 values of $N$ such that $X_0(N)$ is bielliptic and nonhyperelliptic are presented.","authors_text":"Josep Gonz\\'alez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-07-09T11:24:44Z","title":"Equations of Bielliptic Modular Curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.2009","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":"sha256:53179cd23b33e78ec83fc97f3a541c996b693bbfeaac779706b81d1070cd8fe5","target":"record","created_at":"2026-05-18T03:51:26Z","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":"26ea408f23b94f868c27d03d0abdf6d016a894f54d7d81220aedb6d155429b4c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-07-09T11:24:44Z","title_canon_sha256":"0a0d9ed69d13bc8445ab3b8ad766b4e92754924814bc6f7aa6ff659af2b19bfd"},"schema_version":"1.0","source":{"id":"1207.2009","kind":"arxiv","version":1}},"canonical_sha256":"7468bfd88afb77f10c520621cdef93260c149691ec18590f44f34cdd796bb5b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7468bfd88afb77f10c520621cdef93260c149691ec18590f44f34cdd796bb5b8","first_computed_at":"2026-05-18T03:51:26.330881Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:51:26.330881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V6AeXDkNU1qg/dlKzTv/0CpWR9NWzk7BnMNycPzX24eQmDRkoIPJ9um3jciXO4taMkG65Ba6EB8e5Y7xLPfXCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:51:26.332115Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.2009","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53179cd23b33e78ec83fc97f3a541c996b693bbfeaac779706b81d1070cd8fe5","sha256:f813ed8ddd53548fd5a7706f5c073a33f7b74b9a5072e26ccbe6f3cc395a4ed0"],"state_sha256":"e9be6b7b67693719de3adf412f01665aadfaac28151f8f416fb16c831bc72b09"}