{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3HS5HMK4TP7HNZWFHP2ZH2I5TT","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":"de1a69ee9bfcdc46ed48850d609e97d18119da105996abaf416259b47529219e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-11-16T00:07:34Z","title_canon_sha256":"a71baccac7976547a4ebb370fc12f14fd41a938798ccbf0ab518051526479327"},"schema_version":"1.0","source":{"id":"1211.3775","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.3775","created_at":"2026-05-18T03:40:38Z"},{"alias_kind":"arxiv_version","alias_value":"1211.3775v1","created_at":"2026-05-18T03:40:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3775","created_at":"2026-05-18T03:40:38Z"},{"alias_kind":"pith_short_12","alias_value":"3HS5HMK4TP7H","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3HS5HMK4TP7HNZWF","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3HS5HMK4","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:bb08888dc13dce9200f8d9cc482a8fb00344730ba1bc86d238f25b717c72f85b","target":"graph","created_at":"2026-05-18T03:40:38Z","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":"In 1983 A. Suslin proved the Quillen-Lichtenbaum conjecture about algebraic K-theory of algebraically closed fields. The proof was based on a theorem called the Suslin rigidity theorem. In the present paper we prove the rigidity theorem for homotopy invariant presheaves with \\Omega-transfers, introduced by I. Panin. This type of presheaves includes the K-functor and algebraic cobordism of M. Levine and F. Morel. Keywords: rigidity theorem, presheaves with transfers, cohomology theories. MSC2000: 14F43","authors_text":"Alexander Neshitov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-11-16T00:07:34Z","title":"Rigidity theorem for presheaves with \\Omega-transfers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3775","kind":"arxiv","version":1},"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:e7bbf5760809c3eebb834f8cc3d8479b9d0f75b5a9c0ee49104d0fd22d378804","target":"record","created_at":"2026-05-18T03:40:38Z","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":"de1a69ee9bfcdc46ed48850d609e97d18119da105996abaf416259b47529219e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-11-16T00:07:34Z","title_canon_sha256":"a71baccac7976547a4ebb370fc12f14fd41a938798ccbf0ab518051526479327"},"schema_version":"1.0","source":{"id":"1211.3775","kind":"arxiv","version":1}},"canonical_sha256":"d9e5d3b15c9bfe76e6c53bf593e91d9ce492343aba900fdf065f871808f59507","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9e5d3b15c9bfe76e6c53bf593e91d9ce492343aba900fdf065f871808f59507","first_computed_at":"2026-05-18T03:40:38.047790Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:38.047790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KFvIRjhHmfNgWczBfEtaRQhXHlX2TYD8ovu9GlhE7bmz162Vk4A16SNV/hUPv/9FATNLK1pCQttkEsuLXl+/CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:38.048526Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.3775","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7bbf5760809c3eebb834f8cc3d8479b9d0f75b5a9c0ee49104d0fd22d378804","sha256:bb08888dc13dce9200f8d9cc482a8fb00344730ba1bc86d238f25b717c72f85b"],"state_sha256":"b97c610930dbcb9774b07aef7ef48d3557a842317f4b605d1788aab7fbcbcef8"}