{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:UBBXVULJPR2YEEBCX4XSGLT7AB","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":"9be6d196843b9f95cc5236b78e63b51b9b8686ac4b8a9d3609904c9b7fc4cc0d","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-04-11T18:36:23Z","title_canon_sha256":"2ccaf37069f2d802262c031f6152a5ad1e5eeac3b3b1b0235d216b5aebb38dfa"},"schema_version":"1.0","source":{"id":"1804.04161","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.04161","created_at":"2026-05-18T00:18:40Z"},{"alias_kind":"arxiv_version","alias_value":"1804.04161v1","created_at":"2026-05-18T00:18:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.04161","created_at":"2026-05-18T00:18:40Z"},{"alias_kind":"pith_short_12","alias_value":"UBBXVULJPR2Y","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"UBBXVULJPR2YEEBC","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"UBBXVULJ","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:a907fcbf7eb5975a08e6de576efb6b6e84919b57a050dd3d8556cf8cdee0ed91","target":"graph","created_at":"2026-05-18T00:18:40Z","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":"Monstrous Moonshine was extended in two complementary directions during the 1980s and 1990s, giving rise to Norton's Generalized Moonshine conjecture and Ryba's Modular Moonshine conjecture. Both conjectures have been unconditionally resolved in the last few years, so we describe some speculative conjectures that may extend and unify them.","authors_text":"Scott Carnahan","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-04-11T18:36:23Z","title":"Monstrous Moonshine over Z?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.04161","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":"sha256:26b77feb26a70945af4e2be80c5cbd42c01e5554bfda88b63cb346d3ccf936c7","target":"record","created_at":"2026-05-18T00:18:40Z","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":"9be6d196843b9f95cc5236b78e63b51b9b8686ac4b8a9d3609904c9b7fc4cc0d","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-04-11T18:36:23Z","title_canon_sha256":"2ccaf37069f2d802262c031f6152a5ad1e5eeac3b3b1b0235d216b5aebb38dfa"},"schema_version":"1.0","source":{"id":"1804.04161","kind":"arxiv","version":1}},"canonical_sha256":"a0437ad1697c75821022bf2f232e7f0070c6c7ccd9958233a59c47cb3afbbb1b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0437ad1697c75821022bf2f232e7f0070c6c7ccd9958233a59c47cb3afbbb1b","first_computed_at":"2026-05-18T00:18:40.616341Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:40.616341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+bqp760s72bVJFi8wwyqgDHWofG9dApVXxLmfMwypZ+OslbAuhbtq3uwVoa+owbrtidymKknJ+SAoCFq7/IzDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:40.617064Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.04161","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26b77feb26a70945af4e2be80c5cbd42c01e5554bfda88b63cb346d3ccf936c7","sha256:a907fcbf7eb5975a08e6de576efb6b6e84919b57a050dd3d8556cf8cdee0ed91"],"state_sha256":"3625f6a6a26a748a3e4c8da215d9e7dd7d2b68ae8c80e34c639173901ab1ef76"}