{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:737THWKD6VW2T4F2IR3ZVM6TRV","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"25e933a2dc5ba635238c4afec7041cfbef9ba424599b57b575136a639969a8c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2017-09-19T17:39:23Z","title_canon_sha256":"afa62553b0c51865872adf61741df04ab480315dc56aca2fdadf3b2f68e4b22f"},"schema_version":"1.0","source":{"id":"1709.06543","kind":"arxiv","version":9}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.06543","created_at":"2026-05-18T00:13:05Z"},{"alias_kind":"arxiv_version","alias_value":"1709.06543v9","created_at":"2026-05-18T00:13:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.06543","created_at":"2026-05-18T00:13:05Z"},{"alias_kind":"pith_short_12","alias_value":"737THWKD6VW2","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"737THWKD6VW2T4F2","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"737THWKD","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:3cdc713003a1fa3b9f49be772ee0d0f98d8fa7c56c4dc49be040d5f76a8ccd51","target":"graph","created_at":"2026-05-18T00:13:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The cancellation theorem for Grothendieck-Witt-correspondences and Witt-correspondences between smooth varieties over an infinite prefect field $k$, $char k \\neq 2$, is proved, the isomorphism $$Hom_{\\mathbf{DM}^\\mathrm{GW}_\\mathrm{eff}}(A^\\bullet,B^\\bullet) \\simeq Hom_{\\mathbf{DM}^\\mathrm{GW}_\\mathrm{eff}}(A^\\bullet(1),B^\\bullet(1)),$$ for $A^\\bullet,B^\\bullet\\in \\mathbf{DM}^\\mathrm{GW}_\\mathrm{eff}(k)$ in the category of effective Grothendieck-Witt-motives constructed in \\cite{AD_DMGWeff} is obtained (and similarly for Witt-motives).\n  This implies that the canonical functor $\\Sigma_{\\mathbb","authors_text":"Andrei Druzhinin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2017-09-19T17:39:23Z","title":"Cancellation theorem for Grothendieck-Witt-correspondences and Witt-correspondences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.06543","kind":"arxiv","version":9},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:e38ae6ca051ba098ef7a2a50d4c658a19a7b771be6935e4eabd83db8162cd353","target":"record","created_at":"2026-05-18T00:13:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"25e933a2dc5ba635238c4afec7041cfbef9ba424599b57b575136a639969a8c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2017-09-19T17:39:23Z","title_canon_sha256":"afa62553b0c51865872adf61741df04ab480315dc56aca2fdadf3b2f68e4b22f"},"schema_version":"1.0","source":{"id":"1709.06543","kind":"arxiv","version":9}},"canonical_sha256":"feff33d943f56da9f0ba44779ab3d38d4115c990af7c38a42ff5d4f6aed68f59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"feff33d943f56da9f0ba44779ab3d38d4115c990af7c38a42ff5d4f6aed68f59","first_computed_at":"2026-05-18T00:13:05.237188Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:05.237188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1X5VWljdNjdktb37yWL6nQS5LCuIWHcubeZKDZky/Z8/H5CG8J9pcWmY5XldLYcK97uAK0L2wFrUm4LKEDSfCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:05.237893Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.06543","source_kind":"arxiv","source_version":9}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e38ae6ca051ba098ef7a2a50d4c658a19a7b771be6935e4eabd83db8162cd353","sha256:3cdc713003a1fa3b9f49be772ee0d0f98d8fa7c56c4dc49be040d5f76a8ccd51"],"state_sha256":"21e28083824f330021cebf297dd581d7f35146e59142085d6bcd2e7784415887"}