{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2DX7ZOCVDULL7IBDODT75XUUBH","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":"35332f9af0ecec8512cbcb7dc1c267591deee872fad1d23c9f6d479adaf4ff90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-02-20T00:48:53Z","title_canon_sha256":"3c409c3b6dce93cd02fbf40fd1d0d401757a47010efb538f914eb76fc42047e6"},"schema_version":"1.0","source":{"id":"1802.06923","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.06923","created_at":"2026-05-18T00:22:53Z"},{"alias_kind":"arxiv_version","alias_value":"1802.06923v1","created_at":"2026-05-18T00:22:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.06923","created_at":"2026-05-18T00:22:53Z"},{"alias_kind":"pith_short_12","alias_value":"2DX7ZOCVDULL","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"2DX7ZOCVDULL7IBD","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"2DX7ZOCV","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:8c662da9df5744439ed22ecd6c2c89ea7a2698d8d60e2b44a6d8ab11134cd633","target":"graph","created_at":"2026-05-18T00:22:53Z","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 calculate the hauptmodul and Belyi map of a genus zero subgroup of the modular group defined via a canonical homomorphism by the Conway group group Co3. Our main result is the Belyi map and its field of definition.","authors_text":"Hartmut Monien","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-02-20T00:48:53Z","title":"The sporadic group Co3, Hauptmodul and Belyi map"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.06923","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":"sha256:4e241a32b3801dd1ad1ce5f72bcd33bf56e43467ed8185a0811bfc3aaa9899ff","target":"record","created_at":"2026-05-18T00:22:53Z","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":"35332f9af0ecec8512cbcb7dc1c267591deee872fad1d23c9f6d479adaf4ff90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-02-20T00:48:53Z","title_canon_sha256":"3c409c3b6dce93cd02fbf40fd1d0d401757a47010efb538f914eb76fc42047e6"},"schema_version":"1.0","source":{"id":"1802.06923","kind":"arxiv","version":1}},"canonical_sha256":"d0effcb8551d16bfa02370e7fede9409c5a5ada3d2ff58ef39dfad9aa02bde5e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0effcb8551d16bfa02370e7fede9409c5a5ada3d2ff58ef39dfad9aa02bde5e","first_computed_at":"2026-05-18T00:22:53.991976Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:53.991976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o07osNZfoowun1tlmRedNt9e/bhr+qZo7ys5LVibfVUAxTJ+X6AULLn/m9f1pnTR7W80uyV3dDTCmD4WJqoWDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:53.992479Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.06923","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e241a32b3801dd1ad1ce5f72bcd33bf56e43467ed8185a0811bfc3aaa9899ff","sha256:8c662da9df5744439ed22ecd6c2c89ea7a2698d8d60e2b44a6d8ab11134cd633"],"state_sha256":"f37efbdb1537c3d7635f4b3f18f9387cac94559041c7513db29c6f578ccc1d4a"}