{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:PASXENQUDFMLE4IG33GSJPAO4K","short_pith_number":"pith:PASXENQU","schema_version":"1.0","canonical_sha256":"78257236141958b27106decd24bc0ee2b108777bef26f96e4287bbbbbd3eba61","source":{"kind":"arxiv","id":"1112.5206","version":5},"attestation_state":"computed","paper":{"title":"Vanishing of negative $K$-theory in positive characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.AG","authors_text":"Shane Kelly","submitted_at":"2011-12-21T23:40:59Z","abstract_excerpt":"We show how a theorem of Gabber on alterations can be used to apply work of Cisinski, Suslin, Voevodsky, and Weibel to prove that $K_n(X)[1/p] = 0$ for $n < - \\dim X$ where $X$ is a quasi-excellent noetherian scheme, $p$ is a prime that is nilpotent on $X$, and $K_n$ is the $K$-theory of Bass-Thomason-Trobaugh. This gives a partial answer to a question of Weibel."},"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":"1112.5206","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-12-21T23:40:59Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"c502a1e0a3b74cf6c9e77c59e6b4b8860a2ee41c25d09e05a5a46557f1790f63","abstract_canon_sha256":"5c5fb2777b85de3136890903440c2d766a59cb95b441a4e65eb9747956c36e42"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:36.371784Z","signature_b64":"BvXVdI3j+Ch0JxoYYPK4Hspc665ZC15kL+Xn1oEg944MbEPEBgG/+Ak/KB63djcWesoxCwfwrJqArWbcY8HiDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"78257236141958b27106decd24bc0ee2b108777bef26f96e4287bbbbbd3eba61","last_reissued_at":"2026-05-17T23:53:36.371146Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:36.371146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Vanishing of negative $K$-theory in positive characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.AG","authors_text":"Shane Kelly","submitted_at":"2011-12-21T23:40:59Z","abstract_excerpt":"We show how a theorem of Gabber on alterations can be used to apply work of Cisinski, Suslin, Voevodsky, and Weibel to prove that $K_n(X)[1/p] = 0$ for $n < - \\dim X$ where $X$ is a quasi-excellent noetherian scheme, $p$ is a prime that is nilpotent on $X$, and $K_n$ is the $K$-theory of Bass-Thomason-Trobaugh. This gives a partial answer to a question of Weibel."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.5206","kind":"arxiv","version":5},"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":"1112.5206","created_at":"2026-05-17T23:53:36.371266+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.5206v5","created_at":"2026-05-17T23:53:36.371266+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.5206","created_at":"2026-05-17T23:53:36.371266+00:00"},{"alias_kind":"pith_short_12","alias_value":"PASXENQUDFML","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_16","alias_value":"PASXENQUDFMLE4IG","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_8","alias_value":"PASXENQU","created_at":"2026-05-18T12:26:39.201973+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/PASXENQUDFMLE4IG33GSJPAO4K","json":"https://pith.science/pith/PASXENQUDFMLE4IG33GSJPAO4K.json","graph_json":"https://pith.science/api/pith-number/PASXENQUDFMLE4IG33GSJPAO4K/graph.json","events_json":"https://pith.science/api/pith-number/PASXENQUDFMLE4IG33GSJPAO4K/events.json","paper":"https://pith.science/paper/PASXENQU"},"agent_actions":{"view_html":"https://pith.science/pith/PASXENQUDFMLE4IG33GSJPAO4K","download_json":"https://pith.science/pith/PASXENQUDFMLE4IG33GSJPAO4K.json","view_paper":"https://pith.science/paper/PASXENQU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.5206&json=true","fetch_graph":"https://pith.science/api/pith-number/PASXENQUDFMLE4IG33GSJPAO4K/graph.json","fetch_events":"https://pith.science/api/pith-number/PASXENQUDFMLE4IG33GSJPAO4K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PASXENQUDFMLE4IG33GSJPAO4K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PASXENQUDFMLE4IG33GSJPAO4K/action/storage_attestation","attest_author":"https://pith.science/pith/PASXENQUDFMLE4IG33GSJPAO4K/action/author_attestation","sign_citation":"https://pith.science/pith/PASXENQUDFMLE4IG33GSJPAO4K/action/citation_signature","submit_replication":"https://pith.science/pith/PASXENQUDFMLE4IG33GSJPAO4K/action/replication_record"}},"created_at":"2026-05-17T23:53:36.371266+00:00","updated_at":"2026-05-17T23:53:36.371266+00:00"}