{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:4DZDFXE5SY5LCUG7S25VUXCTWJ","short_pith_number":"pith:4DZDFXE5","schema_version":"1.0","canonical_sha256":"e0f232dc9d963ab150df96bb5a5c53b27b1cc052cb18f6f0131bdb28376af5d8","source":{"kind":"arxiv","id":"1604.03433","version":2},"attestation_state":"computed","paper":{"title":"Nonabelian Cohen-Lenstra Heuristics over Function Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Melanie Matchett Wood, Nigel Boston","submitted_at":"2016-04-12T14:57:28Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1604.03433","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-04-12T14:57:28Z","cross_cats_sorted":[],"title_canon_sha256":"6cfd0b9662ee7ec186b58fb2341090a7e6bc6c7e4267dbc1047a29e0bab6591c","abstract_canon_sha256":"2288016f7562b38be9cfbd243b83c6997acaf8523381a7f2e09dd5a2d79e0bb8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:13.222385Z","signature_b64":"JzB+bkd1yMQk0yOrnBW3Qq3cU86p2HYUi1vIgING4dL0z1D8j1t5VHmczLV89i0VoiV4cwnRezFUoE9lfs+KCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e0f232dc9d963ab150df96bb5a5c53b27b1cc052cb18f6f0131bdb28376af5d8","last_reissued_at":"2026-05-17T23:53:13.221688Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:13.221688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonabelian Cohen-Lenstra Heuristics over Function Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Melanie Matchett Wood, Nigel Boston","submitted_at":"2016-04-12T14:57:28Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03433","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1604.03433","created_at":"2026-05-17T23:53:13.221792+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.03433v2","created_at":"2026-05-17T23:53:13.221792+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03433","created_at":"2026-05-17T23:53:13.221792+00:00"},{"alias_kind":"pith_short_12","alias_value":"4DZDFXE5SY5L","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_16","alias_value":"4DZDFXE5SY5LCUG7","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_8","alias_value":"4DZDFXE5","created_at":"2026-05-18T12:29:58.707656+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4DZDFXE5SY5LCUG7S25VUXCTWJ","json":"https://pith.science/pith/4DZDFXE5SY5LCUG7S25VUXCTWJ.json","graph_json":"https://pith.science/api/pith-number/4DZDFXE5SY5LCUG7S25VUXCTWJ/graph.json","events_json":"https://pith.science/api/pith-number/4DZDFXE5SY5LCUG7S25VUXCTWJ/events.json","paper":"https://pith.science/paper/4DZDFXE5"},"agent_actions":{"view_html":"https://pith.science/pith/4DZDFXE5SY5LCUG7S25VUXCTWJ","download_json":"https://pith.science/pith/4DZDFXE5SY5LCUG7S25VUXCTWJ.json","view_paper":"https://pith.science/paper/4DZDFXE5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.03433&json=true","fetch_graph":"https://pith.science/api/pith-number/4DZDFXE5SY5LCUG7S25VUXCTWJ/graph.json","fetch_events":"https://pith.science/api/pith-number/4DZDFXE5SY5LCUG7S25VUXCTWJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4DZDFXE5SY5LCUG7S25VUXCTWJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4DZDFXE5SY5LCUG7S25VUXCTWJ/action/storage_attestation","attest_author":"https://pith.science/pith/4DZDFXE5SY5LCUG7S25VUXCTWJ/action/author_attestation","sign_citation":"https://pith.science/pith/4DZDFXE5SY5LCUG7S25VUXCTWJ/action/citation_signature","submit_replication":"https://pith.science/pith/4DZDFXE5SY5LCUG7S25VUXCTWJ/action/replication_record"}},"created_at":"2026-05-17T23:53:13.221792+00:00","updated_at":"2026-05-17T23:53:13.221792+00:00"}