{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:FDGFBWLF3FSBLZKTNBVUZTOPVG","short_pith_number":"pith:FDGFBWLF","schema_version":"1.0","canonical_sha256":"28cc50d965d96415e553686b4ccdcfa999017cfff6ddf4f8acbbbd39650ff074","source":{"kind":"arxiv","id":"1412.7135","version":2},"attestation_state":"computed","paper":{"title":"Local models for Weil-restricted groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Brandon Levin","submitted_at":"2014-12-22T20:28:55Z","abstract_excerpt":"We extend the group theoretic construction of local models of Pappas and Zhu to the case of groups obtained by Weil restriction along a possibly wildly ramified extension. This completes the construction of local models for all reductive groups when $p \\geq 5$. We show that the local models are normal with special fiber reduced and study the monodromy action on the sheaves of nearby cycles. As a consequence, we prove a conjecture of Kottwitz that the semi-simple trace of Frobenius gives a central function in the parahoric Hecke algebra. We also introduce a notion of splitting model and use thi"},"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":"1412.7135","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-12-22T20:28:55Z","cross_cats_sorted":[],"title_canon_sha256":"36cedbc4e2eed10824eafc598ed1e07e5f64d2240ad069517f75e48ab78fdf98","abstract_canon_sha256":"ea3109e4fe64912489688a67021698d1240dcfb6755ce2e6992d355351f550ca"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:34.617382Z","signature_b64":"UHXtn+rQbUH4+3d9gbE61ibdhooEaJPpO1lnYKJBUVoRM62pKYYUE3QAaok9V1Yr60u077Q6Mxo7A6oiM1WLBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28cc50d965d96415e553686b4ccdcfa999017cfff6ddf4f8acbbbd39650ff074","last_reissued_at":"2026-05-17T23:53:34.616750Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:34.616750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local models for Weil-restricted groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Brandon Levin","submitted_at":"2014-12-22T20:28:55Z","abstract_excerpt":"We extend the group theoretic construction of local models of Pappas and Zhu to the case of groups obtained by Weil restriction along a possibly wildly ramified extension. This completes the construction of local models for all reductive groups when $p \\geq 5$. We show that the local models are normal with special fiber reduced and study the monodromy action on the sheaves of nearby cycles. As a consequence, we prove a conjecture of Kottwitz that the semi-simple trace of Frobenius gives a central function in the parahoric Hecke algebra. We also introduce a notion of splitting model and use thi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7135","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":"1412.7135","created_at":"2026-05-17T23:53:34.616862+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.7135v2","created_at":"2026-05-17T23:53:34.616862+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7135","created_at":"2026-05-17T23:53:34.616862+00:00"},{"alias_kind":"pith_short_12","alias_value":"FDGFBWLF3FSB","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"FDGFBWLF3FSBLZKT","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"FDGFBWLF","created_at":"2026-05-18T12:28:28.263976+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/FDGFBWLF3FSBLZKTNBVUZTOPVG","json":"https://pith.science/pith/FDGFBWLF3FSBLZKTNBVUZTOPVG.json","graph_json":"https://pith.science/api/pith-number/FDGFBWLF3FSBLZKTNBVUZTOPVG/graph.json","events_json":"https://pith.science/api/pith-number/FDGFBWLF3FSBLZKTNBVUZTOPVG/events.json","paper":"https://pith.science/paper/FDGFBWLF"},"agent_actions":{"view_html":"https://pith.science/pith/FDGFBWLF3FSBLZKTNBVUZTOPVG","download_json":"https://pith.science/pith/FDGFBWLF3FSBLZKTNBVUZTOPVG.json","view_paper":"https://pith.science/paper/FDGFBWLF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.7135&json=true","fetch_graph":"https://pith.science/api/pith-number/FDGFBWLF3FSBLZKTNBVUZTOPVG/graph.json","fetch_events":"https://pith.science/api/pith-number/FDGFBWLF3FSBLZKTNBVUZTOPVG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FDGFBWLF3FSBLZKTNBVUZTOPVG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FDGFBWLF3FSBLZKTNBVUZTOPVG/action/storage_attestation","attest_author":"https://pith.science/pith/FDGFBWLF3FSBLZKTNBVUZTOPVG/action/author_attestation","sign_citation":"https://pith.science/pith/FDGFBWLF3FSBLZKTNBVUZTOPVG/action/citation_signature","submit_replication":"https://pith.science/pith/FDGFBWLF3FSBLZKTNBVUZTOPVG/action/replication_record"}},"created_at":"2026-05-17T23:53:34.616862+00:00","updated_at":"2026-05-17T23:53:34.616862+00:00"}