{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FWRTD244WRZDT3VJP7NJQFFMJE","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":"ac51e9097d2c58ee1b84f88f4e8d9986118f7e4a7c7dc665f2d28b4b03a218d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-01-05T04:57:42Z","title_canon_sha256":"2321ac2bb5bf3fc8746863d05ede1c62b0957343429959edeaed396103e16cbf"},"schema_version":"1.0","source":{"id":"1301.0872","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.0872","created_at":"2026-05-18T03:37:07Z"},{"alias_kind":"arxiv_version","alias_value":"1301.0872v1","created_at":"2026-05-18T03:37:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.0872","created_at":"2026-05-18T03:37:07Z"},{"alias_kind":"pith_short_12","alias_value":"FWRTD244WRZD","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FWRTD244WRZDT3VJ","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FWRTD244","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:7eda516b363b0229a296509e1dfb2c29869c014eee579d63179fc1809ecef768","target":"graph","created_at":"2026-05-18T03:37:07Z","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":"We classify all \\'etale cohomology operations on $H_\\et^n(-,\\muell{i})$, showing that they were all constructed by Epstein. We also construct operations $P^a$ on the mod-$\\ell$ motivic cohomology groups $H^{p,q}$, differing from Voevodsky's operations; we use them to classify all motivic cohomology operations on $H^{p,1}$ and $H^{1,q}$ and suggest a general classification.","authors_text":"Bertrand Guillou, Charles Weibel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-01-05T04:57:42Z","title":"Unstable operations in \\'etale and motivic cohomology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.0872","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:aff2eb40ae851e33189f3d7105fbc575777a788705944a65ef5f360666dc3b08","target":"record","created_at":"2026-05-18T03:37:07Z","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":"ac51e9097d2c58ee1b84f88f4e8d9986118f7e4a7c7dc665f2d28b4b03a218d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-01-05T04:57:42Z","title_canon_sha256":"2321ac2bb5bf3fc8746863d05ede1c62b0957343429959edeaed396103e16cbf"},"schema_version":"1.0","source":{"id":"1301.0872","kind":"arxiv","version":1}},"canonical_sha256":"2da331eb9cb47239eea97fda9814ac492d7ee5e79aa87cbacc28184dcbe374cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2da331eb9cb47239eea97fda9814ac492d7ee5e79aa87cbacc28184dcbe374cc","first_computed_at":"2026-05-18T03:37:07.477690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:07.477690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XQyVdV4l2z3uuMyhVQramypA8LXxp5COYL3ttyiU3H0hGmzkT9DFEGohF8KkXACe4/w4jjJinzAWZhUl/wWDAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:07.478634Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.0872","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aff2eb40ae851e33189f3d7105fbc575777a788705944a65ef5f360666dc3b08","sha256:7eda516b363b0229a296509e1dfb2c29869c014eee579d63179fc1809ecef768"],"state_sha256":"454bd84644211efac41a01214ec2fb3bf125d973716f898756e8830e6e717365"}