{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:QAZ7YBYERU6NLZRNQGFFYPB255","short_pith_number":"pith:QAZ7YBYE","schema_version":"1.0","canonical_sha256":"8033fc07048d3cd5e62d818a5c3c3aef48dbe36a44f22d5c9183eeb52983c349","source":{"kind":"arxiv","id":"2111.11062","version":2},"attestation_state":"computed","paper":{"title":"Quadratic Weyl group multiple Dirichlet series of Type $D_{\\scriptscriptstyle 4}^{\\scriptscriptstyle (1)}$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Adrian Diaconu, Alexandru A. Popa, Vicen\\c{t}iu Pa\\c{s}ol","submitted_at":"2021-11-22T09:18:48Z","abstract_excerpt":"In this paper and its sequel \\cite{DPP}, we investigate the precise relationship between the quadratic affine Weyl group multiple Dirichlet series in the sense of \\cite{CG1, BD}, and those defined axiomatically by Whitehead \\cite{White2} and \\cite{White1}. In particular, we show that the axiomatic quadratic Weyl group multiple Dirichlet series of type $D_{\\scriptscriptstyle 4}^{\\scriptscriptstyle (1)}$ over rational function fields of odd characteristic admits meromorphic continuation to the interior of the corresponding complexified Tits cone. We shall also determine the polar divisor of this"},"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":"2111.11062","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2021-11-22T09:18:48Z","cross_cats_sorted":[],"title_canon_sha256":"c0cfd93eb3fbff47c1b193c6d0fc5f3cf6db83c8650120f4d87bc009ab0dc9f8","abstract_canon_sha256":"896846bc523c463327fe09c58fefbf6db2f86e5e13d10a6c4da24355b41bb101"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:35:03.383788Z","signature_b64":"EvLT1VJijHnvRcbd1wMSt5Y5sCkvwE4kYuSOKGpDQNW0QbJNKKlJWs1TBIkZfUOMud2+bK6lH7zVFY2iD2+0BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8033fc07048d3cd5e62d818a5c3c3aef48dbe36a44f22d5c9183eeb52983c349","last_reissued_at":"2026-07-05T06:35:03.383379Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:35:03.383379Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quadratic Weyl group multiple Dirichlet series of Type $D_{\\scriptscriptstyle 4}^{\\scriptscriptstyle (1)}$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Adrian Diaconu, Alexandru A. Popa, Vicen\\c{t}iu Pa\\c{s}ol","submitted_at":"2021-11-22T09:18:48Z","abstract_excerpt":"In this paper and its sequel \\cite{DPP}, we investigate the precise relationship between the quadratic affine Weyl group multiple Dirichlet series in the sense of \\cite{CG1, BD}, and those defined axiomatically by Whitehead \\cite{White2} and \\cite{White1}. In particular, we show that the axiomatic quadratic Weyl group multiple Dirichlet series of type $D_{\\scriptscriptstyle 4}^{\\scriptscriptstyle (1)}$ over rational function fields of odd characteristic admits meromorphic continuation to the interior of the corresponding complexified Tits cone. We shall also determine the polar divisor of this"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.11062","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/2111.11062/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":"2111.11062","created_at":"2026-07-05T06:35:03.383438+00:00"},{"alias_kind":"arxiv_version","alias_value":"2111.11062v2","created_at":"2026-07-05T06:35:03.383438+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.11062","created_at":"2026-07-05T06:35:03.383438+00:00"},{"alias_kind":"pith_short_12","alias_value":"QAZ7YBYERU6N","created_at":"2026-07-05T06:35:03.383438+00:00"},{"alias_kind":"pith_short_16","alias_value":"QAZ7YBYERU6NLZRN","created_at":"2026-07-05T06:35:03.383438+00:00"},{"alias_kind":"pith_short_8","alias_value":"QAZ7YBYE","created_at":"2026-07-05T06:35:03.383438+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2411.13143","citing_title":"Eisenstein Series on Metaplectic Covers and Multiple Dirichlet Series","ref_index":17,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QAZ7YBYERU6NLZRNQGFFYPB255","json":"https://pith.science/pith/QAZ7YBYERU6NLZRNQGFFYPB255.json","graph_json":"https://pith.science/api/pith-number/QAZ7YBYERU6NLZRNQGFFYPB255/graph.json","events_json":"https://pith.science/api/pith-number/QAZ7YBYERU6NLZRNQGFFYPB255/events.json","paper":"https://pith.science/paper/QAZ7YBYE"},"agent_actions":{"view_html":"https://pith.science/pith/QAZ7YBYERU6NLZRNQGFFYPB255","download_json":"https://pith.science/pith/QAZ7YBYERU6NLZRNQGFFYPB255.json","view_paper":"https://pith.science/paper/QAZ7YBYE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2111.11062&json=true","fetch_graph":"https://pith.science/api/pith-number/QAZ7YBYERU6NLZRNQGFFYPB255/graph.json","fetch_events":"https://pith.science/api/pith-number/QAZ7YBYERU6NLZRNQGFFYPB255/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QAZ7YBYERU6NLZRNQGFFYPB255/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QAZ7YBYERU6NLZRNQGFFYPB255/action/storage_attestation","attest_author":"https://pith.science/pith/QAZ7YBYERU6NLZRNQGFFYPB255/action/author_attestation","sign_citation":"https://pith.science/pith/QAZ7YBYERU6NLZRNQGFFYPB255/action/citation_signature","submit_replication":"https://pith.science/pith/QAZ7YBYERU6NLZRNQGFFYPB255/action/replication_record"}},"created_at":"2026-07-05T06:35:03.383438+00:00","updated_at":"2026-07-05T06:35:03.383438+00:00"}