{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:ILKYS2TY4HJCI4EEDSAW3PMM6Z","short_pith_number":"pith:ILKYS2TY","canonical_record":{"source":{"id":"1011.4977","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2010-11-23T00:40:20Z","cross_cats_sorted":["math.AG","math.AT","math.NT"],"title_canon_sha256":"7f04bb4d1e9e9cce0114fcebd8187fb2e079c73f3174208f6fdd073350c7c37a","abstract_canon_sha256":"4861693b9bb65d459e9f49157f4d7c1652046ddbe6faf278249bd52b7a2104cc"},"schema_version":"1.0"},"canonical_sha256":"42d5896a78e1d22470841c816dbd8cf66e2b038520571fddd7b4261f7e9d28ee","source":{"kind":"arxiv","id":"1011.4977","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.4977","created_at":"2026-05-18T02:26:51Z"},{"alias_kind":"arxiv_version","alias_value":"1011.4977v3","created_at":"2026-05-18T02:26:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4977","created_at":"2026-05-18T02:26:51Z"},{"alias_kind":"pith_short_12","alias_value":"ILKYS2TY4HJC","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"ILKYS2TY4HJCI4EE","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"ILKYS2TY","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:ILKYS2TY4HJCI4EEDSAW3PMM6Z","target":"record","payload":{"canonical_record":{"source":{"id":"1011.4977","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2010-11-23T00:40:20Z","cross_cats_sorted":["math.AG","math.AT","math.NT"],"title_canon_sha256":"7f04bb4d1e9e9cce0114fcebd8187fb2e079c73f3174208f6fdd073350c7c37a","abstract_canon_sha256":"4861693b9bb65d459e9f49157f4d7c1652046ddbe6faf278249bd52b7a2104cc"},"schema_version":"1.0"},"canonical_sha256":"42d5896a78e1d22470841c816dbd8cf66e2b038520571fddd7b4261f7e9d28ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:51.833234Z","signature_b64":"GQZed9Hb4UoAgcWX1Yap9Fs+HmTXznAnzH/yAPWBXn2POKxGydHNdkQ72bl78ZsTWaOp+XBzt8A91W/hzhwqCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42d5896a78e1d22470841c816dbd8cf66e2b038520571fddd7b4261f7e9d28ee","last_reissued_at":"2026-05-18T02:26:51.832807Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:51.832807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.4977","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:26:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VdC4n4qX+drA1u1Z6N/NmbInrcP+ytq1EPDdd41OqDtZd277IEiNDst1Nsb4wg/+1V5Z0IF2d1wcYDzNyoApDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T23:00:57.139802Z"},"content_sha256":"088917fb9c655ad5b5e60aff3130cc143c0651f07ba515b6a93b1dbcb70a6d15","schema_version":"1.0","event_id":"sha256:088917fb9c655ad5b5e60aff3130cc143c0651f07ba515b6a93b1dbcb70a6d15"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:ILKYS2TY4HJCI4EEDSAW3PMM6Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The homotopy fixed point theorem and the Quillen-Lichtenbaum conjecture in hermitian K-theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.AT","math.NT"],"primary_cat":"math.KT","authors_text":"A.J. Berrick, M. Karoubi, M. Schlichting, P.A. {\\O}stv{\\ae}r","submitted_at":"2010-11-23T00:40:20Z","abstract_excerpt":"Let X be a noetherian scheme of finite Krull dimension, having 2 invertible in its ring of regular functions, an ample family of line bundles, and a global bound on the virtual mod-2 cohomological dimensions of its residue fields. We prove that the comparison map from the hermitian K-theory of X to the homotopy fixed points of K-theory under the natural Z/2-action is a 2-adic equivalence in general, and an integral equivalence when X has no formally real residue field. We also show that the comparison map between the higher Grothendieck-Witt (hermitian K-) theory of X and its \\'etale version i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4977","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:26:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GQs6qR5PZ2TUGUQRBM0D/m8xrChatpTdygJG7gQx4+ynBxoXKfbqHoU/e0SPDfM60ZTEEjf9Keoa9F5SjH0oDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T23:00:57.140133Z"},"content_sha256":"35236e61a0288ba172734b6ae1433c26d626ea60b8d3ff25a1086541659fc9d9","schema_version":"1.0","event_id":"sha256:35236e61a0288ba172734b6ae1433c26d626ea60b8d3ff25a1086541659fc9d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ILKYS2TY4HJCI4EEDSAW3PMM6Z/bundle.json","state_url":"https://pith.science/pith/ILKYS2TY4HJCI4EEDSAW3PMM6Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ILKYS2TY4HJCI4EEDSAW3PMM6Z/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-21T23:00:57Z","links":{"resolver":"https://pith.science/pith/ILKYS2TY4HJCI4EEDSAW3PMM6Z","bundle":"https://pith.science/pith/ILKYS2TY4HJCI4EEDSAW3PMM6Z/bundle.json","state":"https://pith.science/pith/ILKYS2TY4HJCI4EEDSAW3PMM6Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ILKYS2TY4HJCI4EEDSAW3PMM6Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ILKYS2TY4HJCI4EEDSAW3PMM6Z","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":"4861693b9bb65d459e9f49157f4d7c1652046ddbe6faf278249bd52b7a2104cc","cross_cats_sorted":["math.AG","math.AT","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2010-11-23T00:40:20Z","title_canon_sha256":"7f04bb4d1e9e9cce0114fcebd8187fb2e079c73f3174208f6fdd073350c7c37a"},"schema_version":"1.0","source":{"id":"1011.4977","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.4977","created_at":"2026-05-18T02:26:51Z"},{"alias_kind":"arxiv_version","alias_value":"1011.4977v3","created_at":"2026-05-18T02:26:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4977","created_at":"2026-05-18T02:26:51Z"},{"alias_kind":"pith_short_12","alias_value":"ILKYS2TY4HJC","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"ILKYS2TY4HJCI4EE","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"ILKYS2TY","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:35236e61a0288ba172734b6ae1433c26d626ea60b8d3ff25a1086541659fc9d9","target":"graph","created_at":"2026-05-18T02:26:51Z","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":"Let X be a noetherian scheme of finite Krull dimension, having 2 invertible in its ring of regular functions, an ample family of line bundles, and a global bound on the virtual mod-2 cohomological dimensions of its residue fields. We prove that the comparison map from the hermitian K-theory of X to the homotopy fixed points of K-theory under the natural Z/2-action is a 2-adic equivalence in general, and an integral equivalence when X has no formally real residue field. We also show that the comparison map between the higher Grothendieck-Witt (hermitian K-) theory of X and its \\'etale version i","authors_text":"A.J. Berrick, M. Karoubi, M. Schlichting, P.A. {\\O}stv{\\ae}r","cross_cats":["math.AG","math.AT","math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2010-11-23T00:40:20Z","title":"The homotopy fixed point theorem and the Quillen-Lichtenbaum conjecture in hermitian K-theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4977","kind":"arxiv","version":3},"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":"sha256:088917fb9c655ad5b5e60aff3130cc143c0651f07ba515b6a93b1dbcb70a6d15","target":"record","created_at":"2026-05-18T02:26:51Z","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":"4861693b9bb65d459e9f49157f4d7c1652046ddbe6faf278249bd52b7a2104cc","cross_cats_sorted":["math.AG","math.AT","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2010-11-23T00:40:20Z","title_canon_sha256":"7f04bb4d1e9e9cce0114fcebd8187fb2e079c73f3174208f6fdd073350c7c37a"},"schema_version":"1.0","source":{"id":"1011.4977","kind":"arxiv","version":3}},"canonical_sha256":"42d5896a78e1d22470841c816dbd8cf66e2b038520571fddd7b4261f7e9d28ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42d5896a78e1d22470841c816dbd8cf66e2b038520571fddd7b4261f7e9d28ee","first_computed_at":"2026-05-18T02:26:51.832807Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:51.832807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GQZed9Hb4UoAgcWX1Yap9Fs+HmTXznAnzH/yAPWBXn2POKxGydHNdkQ72bl78ZsTWaOp+XBzt8A91W/hzhwqCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:51.833234Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.4977","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:088917fb9c655ad5b5e60aff3130cc143c0651f07ba515b6a93b1dbcb70a6d15","sha256:35236e61a0288ba172734b6ae1433c26d626ea60b8d3ff25a1086541659fc9d9"],"state_sha256":"d51063eff3481d19c046323478c0823179a483a1246d54d519de1015bbd504d1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6JdKUvN96TirTCTQhQ3yFyuvflWdemsuyG1B0ZX3P10+Fyo6esIQrebKpdbb1by0fQihbwhlOrBA7QIKR/uvAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T23:00:57.142025Z","bundle_sha256":"ffa57aba2103e7af1ca95088f888337bcadcdf65f0ab7df0e53c8e1f5f91702c"}}