{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4DZDFXE5SY5LCUG7S25VUXCTWJ","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":"2288016f7562b38be9cfbd243b83c6997acaf8523381a7f2e09dd5a2d79e0bb8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-04-12T14:57:28Z","title_canon_sha256":"6cfd0b9662ee7ec186b58fb2341090a7e6bc6c7e4267dbc1047a29e0bab6591c"},"schema_version":"1.0","source":{"id":"1604.03433","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03433","created_at":"2026-05-17T23:53:13Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03433v2","created_at":"2026-05-17T23:53:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03433","created_at":"2026-05-17T23:53:13Z"},{"alias_kind":"pith_short_12","alias_value":"4DZDFXE5SY5L","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4DZDFXE5SY5LCUG7","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4DZDFXE5","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:8c6a85e5beb9c532ee3e8423e0b5a84960dbdbd8266ed6f65d3ec1cac15ac2aa","target":"graph","created_at":"2026-05-17T23:53:13Z","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":"Boston, Bush, and Hajir have developed heuristics, extending the Cohen-Lenstra heuristics, that conjecture the distribution of the Galois groups of the maximal unramified pro-p extensions of imaginary quadratic number fields for p an odd prime. In this paper, we find the moments of their proposed distribution, and further prove there is a unique distribution with those moments. Further, we show that in the function field analog, for imaginary quadratic extensions of F_q(t), the Galois groups of the maximal unramified pro-p extensions, as q goes to infinity, have the moments predicted by the Bo","authors_text":"Melanie Matchett Wood, Nigel Boston","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-04-12T14:57:28Z","title":"Nonabelian Cohen-Lenstra Heuristics over Function Fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03433","kind":"arxiv","version":2},"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":"sha256:886bc23fcd0a1a8e43674ea6410ccc8bd5c1dffa23b7f2ecd24a4e4b514cbdd1","target":"record","created_at":"2026-05-17T23:53:13Z","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":"2288016f7562b38be9cfbd243b83c6997acaf8523381a7f2e09dd5a2d79e0bb8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-04-12T14:57:28Z","title_canon_sha256":"6cfd0b9662ee7ec186b58fb2341090a7e6bc6c7e4267dbc1047a29e0bab6591c"},"schema_version":"1.0","source":{"id":"1604.03433","kind":"arxiv","version":2}},"canonical_sha256":"e0f232dc9d963ab150df96bb5a5c53b27b1cc052cb18f6f0131bdb28376af5d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0f232dc9d963ab150df96bb5a5c53b27b1cc052cb18f6f0131bdb28376af5d8","first_computed_at":"2026-05-17T23:53:13.221688Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:13.221688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JzB+bkd1yMQk0yOrnBW3Qq3cU86p2HYUi1vIgING4dL0z1D8j1t5VHmczLV89i0VoiV4cwnRezFUoE9lfs+KCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:13.222385Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.03433","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:886bc23fcd0a1a8e43674ea6410ccc8bd5c1dffa23b7f2ecd24a4e4b514cbdd1","sha256:8c6a85e5beb9c532ee3e8423e0b5a84960dbdbd8266ed6f65d3ec1cac15ac2aa"],"state_sha256":"27779324faec4b69a11e5539337609da90be20a4ead170b2c215f862c163a846"}