{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:MVEQPJCZLAQAWD6UJF4YSAOGET","short_pith_number":"pith:MVEQPJCZ","schema_version":"1.0","canonical_sha256":"654907a45958200b0fd449798901c624d04c1e16ab75be84f15e8ed6b94e6ae5","source":{"kind":"arxiv","id":"1701.04541","version":2},"attestation_state":"computed","paper":{"title":"Fox-Neuwirth-Fuks cells, quantum shuffle algebras, and Malle's conjecture for function fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.AT","math.QA"],"primary_cat":"math.NT","authors_text":"Craig Westerland, Jordan S. Ellenberg, TriThang Tran","submitted_at":"2017-01-17T06:07:16Z","abstract_excerpt":"The purpose of this paper is to prove the upper bound in Malle's conjecture on the distribution of finite extensions of $\\mathbb{F}_q(t)$ with specified Galois group. As in previous work of Ellenberg-Venkatesh-Westerland, our result is based upon computations of the homology of braid groups with certain (exponential) coefficients. However, the approach in this paper is new, relying on a connection between the cohomology of Hurwitz spaces and the cohomology of quantum shuffle algebras."},"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":"1701.04541","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-01-17T06:07:16Z","cross_cats_sorted":["math.AG","math.AT","math.QA"],"title_canon_sha256":"5dea198f652210fa3838827be801b4514e4b25bc92d7ae689a65f426a8bc045d","abstract_canon_sha256":"af7bf336d1e6074ebd1647386edd10305b6eae7be3961c8a376926b7f481026a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:47:53.368330Z","signature_b64":"M12hI59S+VzOqCvHabrdsiWpMEBjrpFAHfxUp6vjNo6pR9YdbbmYfQ8mifBevnn7Y6bAaP2cqRC0GdfVX/PkAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"654907a45958200b0fd449798901c624d04c1e16ab75be84f15e8ed6b94e6ae5","last_reissued_at":"2026-07-05T05:47:53.367813Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:47:53.367813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fox-Neuwirth-Fuks cells, quantum shuffle algebras, and Malle's conjecture for function fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.AT","math.QA"],"primary_cat":"math.NT","authors_text":"Craig Westerland, Jordan S. Ellenberg, TriThang Tran","submitted_at":"2017-01-17T06:07:16Z","abstract_excerpt":"The purpose of this paper is to prove the upper bound in Malle's conjecture on the distribution of finite extensions of $\\mathbb{F}_q(t)$ with specified Galois group. As in previous work of Ellenberg-Venkatesh-Westerland, our result is based upon computations of the homology of braid groups with certain (exponential) coefficients. However, the approach in this paper is new, relying on a connection between the cohomology of Hurwitz spaces and the cohomology of quantum shuffle algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04541","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1701.04541/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1701.04541","created_at":"2026-07-05T05:47:53.367873+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.04541v2","created_at":"2026-07-05T05:47:53.367873+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04541","created_at":"2026-07-05T05:47:53.367873+00:00"},{"alias_kind":"pith_short_12","alias_value":"MVEQPJCZLAQA","created_at":"2026-07-05T05:47:53.367873+00:00"},{"alias_kind":"pith_short_16","alias_value":"MVEQPJCZLAQAWD6U","created_at":"2026-07-05T05:47:53.367873+00:00"},{"alias_kind":"pith_short_8","alias_value":"MVEQPJCZ","created_at":"2026-07-05T05:47:53.367873+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.05516","citing_title":"Representation stability for ordered Hurwitz spaces","ref_index":16,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MVEQPJCZLAQAWD6UJF4YSAOGET","json":"https://pith.science/pith/MVEQPJCZLAQAWD6UJF4YSAOGET.json","graph_json":"https://pith.science/api/pith-number/MVEQPJCZLAQAWD6UJF4YSAOGET/graph.json","events_json":"https://pith.science/api/pith-number/MVEQPJCZLAQAWD6UJF4YSAOGET/events.json","paper":"https://pith.science/paper/MVEQPJCZ"},"agent_actions":{"view_html":"https://pith.science/pith/MVEQPJCZLAQAWD6UJF4YSAOGET","download_json":"https://pith.science/pith/MVEQPJCZLAQAWD6UJF4YSAOGET.json","view_paper":"https://pith.science/paper/MVEQPJCZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.04541&json=true","fetch_graph":"https://pith.science/api/pith-number/MVEQPJCZLAQAWD6UJF4YSAOGET/graph.json","fetch_events":"https://pith.science/api/pith-number/MVEQPJCZLAQAWD6UJF4YSAOGET/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MVEQPJCZLAQAWD6UJF4YSAOGET/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MVEQPJCZLAQAWD6UJF4YSAOGET/action/storage_attestation","attest_author":"https://pith.science/pith/MVEQPJCZLAQAWD6UJF4YSAOGET/action/author_attestation","sign_citation":"https://pith.science/pith/MVEQPJCZLAQAWD6UJF4YSAOGET/action/citation_signature","submit_replication":"https://pith.science/pith/MVEQPJCZLAQAWD6UJF4YSAOGET/action/replication_record"}},"created_at":"2026-07-05T05:47:53.367873+00:00","updated_at":"2026-07-05T05:47:53.367873+00:00"}