{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:HCGZ3YPRY4IKYA5Q2VEZYS4JSF","short_pith_number":"pith:HCGZ3YPR","schema_version":"1.0","canonical_sha256":"388d9de1f1c710ac03b0d5499c4b899147d546899d9b13892fba385d0d6ce81c","source":{"kind":"arxiv","id":"1703.03331","version":3},"attestation_state":"computed","paper":{"title":"Excision in algebraic K-theory revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.KT","authors_text":"Georg Tamme","submitted_at":"2017-03-09T16:39:56Z","abstract_excerpt":"By a theorem of Suslin, a Tor-unital (not necessarily unital) ring satisfies excision in algebraic K-theory. We give a new and direct proof of Suslin's result based on an exact sequence of categories of perfect modules. In fact, we prove a more general descent result for a pullback square of ring spectra and any localizing invariant. Besides Suslin's result, this also contains Nisnevich descent of algebraic K-theory for affine schemes as a special case. Moreover, the role of the Tor-unitality condition becomes very transparent."},"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":"1703.03331","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2017-03-09T16:39:56Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"855e5dce48f85e01259cfa844619f27a373d41666f9b19f268d4906ff08d26b7","abstract_canon_sha256":"1f3630f97a2eb3ef7806a418dd9ebb2bb80a92a151b17b4e63642ac63fad525f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:12.838166Z","signature_b64":"Vxc1gPKpyX+yawUiED4zBFuUByIoP0USSl3PcwT8jtYVzXYM61Sn+AxAmLLMnGboi/dY5HUQjAYrwBrO/3A5Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"388d9de1f1c710ac03b0d5499c4b899147d546899d9b13892fba385d0d6ce81c","last_reissued_at":"2026-05-17T23:53:12.837535Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:12.837535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Excision in algebraic K-theory revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.KT","authors_text":"Georg Tamme","submitted_at":"2017-03-09T16:39:56Z","abstract_excerpt":"By a theorem of Suslin, a Tor-unital (not necessarily unital) ring satisfies excision in algebraic K-theory. We give a new and direct proof of Suslin's result based on an exact sequence of categories of perfect modules. In fact, we prove a more general descent result for a pullback square of ring spectra and any localizing invariant. Besides Suslin's result, this also contains Nisnevich descent of algebraic K-theory for affine schemes as a special case. Moreover, the role of the Tor-unitality condition becomes very transparent."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03331","kind":"arxiv","version":3},"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":"1703.03331","created_at":"2026-05-17T23:53:12.837624+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.03331v3","created_at":"2026-05-17T23:53:12.837624+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03331","created_at":"2026-05-17T23:53:12.837624+00:00"},{"alias_kind":"pith_short_12","alias_value":"HCGZ3YPRY4IK","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_16","alias_value":"HCGZ3YPRY4IKYA5Q","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_8","alias_value":"HCGZ3YPR","created_at":"2026-05-18T12:31:18.294218+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/HCGZ3YPRY4IKYA5Q2VEZYS4JSF","json":"https://pith.science/pith/HCGZ3YPRY4IKYA5Q2VEZYS4JSF.json","graph_json":"https://pith.science/api/pith-number/HCGZ3YPRY4IKYA5Q2VEZYS4JSF/graph.json","events_json":"https://pith.science/api/pith-number/HCGZ3YPRY4IKYA5Q2VEZYS4JSF/events.json","paper":"https://pith.science/paper/HCGZ3YPR"},"agent_actions":{"view_html":"https://pith.science/pith/HCGZ3YPRY4IKYA5Q2VEZYS4JSF","download_json":"https://pith.science/pith/HCGZ3YPRY4IKYA5Q2VEZYS4JSF.json","view_paper":"https://pith.science/paper/HCGZ3YPR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.03331&json=true","fetch_graph":"https://pith.science/api/pith-number/HCGZ3YPRY4IKYA5Q2VEZYS4JSF/graph.json","fetch_events":"https://pith.science/api/pith-number/HCGZ3YPRY4IKYA5Q2VEZYS4JSF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HCGZ3YPRY4IKYA5Q2VEZYS4JSF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HCGZ3YPRY4IKYA5Q2VEZYS4JSF/action/storage_attestation","attest_author":"https://pith.science/pith/HCGZ3YPRY4IKYA5Q2VEZYS4JSF/action/author_attestation","sign_citation":"https://pith.science/pith/HCGZ3YPRY4IKYA5Q2VEZYS4JSF/action/citation_signature","submit_replication":"https://pith.science/pith/HCGZ3YPRY4IKYA5Q2VEZYS4JSF/action/replication_record"}},"created_at":"2026-05-17T23:53:12.837624+00:00","updated_at":"2026-05-17T23:53:12.837624+00:00"}