{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:W3ZRZIN37IHXBCT4IEDSZGVC3S","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":"04b7112f0620170bc7472b9b8b9d4498c32b4b55df1e9a1ba522e0b881f5d675","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-06T12:58:29Z","title_canon_sha256":"c7979ca3359ba6539b11e1f780fc4eef2858c2164cc588e2dbe1cee67059738a"},"schema_version":"1.0","source":{"id":"1710.02379","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.02379","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"arxiv_version","alias_value":"1710.02379v1","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.02379","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"pith_short_12","alias_value":"W3ZRZIN37IHX","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"W3ZRZIN37IHXBCT4","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"W3ZRZIN3","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:60eb792ead4995ea6e36260e3e58cc00f4f981e6adcb46860117cba713c8b286","target":"graph","created_at":"2026-05-18T00:33:33Z","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":"This note addresses the motivic nature of some classical cohomological results due to Lefschetz, namely the primitive decomposition (for the cohomology of smooth projective varieties), and, secondly, the splitting of the cohomology of a complete intersection into the \"fixed\" and \"variable part\".","authors_text":"Chris Peters","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-06T12:58:29Z","title":"On a motivic interpretation of primitive, variable and fixed cohomology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.02379","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":"sha256:3428142514bba7c6ce6e6ef15b582a6d6e93ecb0be23a6566e8cbc29a6ebeb82","target":"record","created_at":"2026-05-18T00:33:33Z","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":"04b7112f0620170bc7472b9b8b9d4498c32b4b55df1e9a1ba522e0b881f5d675","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-06T12:58:29Z","title_canon_sha256":"c7979ca3359ba6539b11e1f780fc4eef2858c2164cc588e2dbe1cee67059738a"},"schema_version":"1.0","source":{"id":"1710.02379","kind":"arxiv","version":1}},"canonical_sha256":"b6f31ca1bbfa0f708a7c41072c9aa2dcaccc63b9b9c3de81adda30295cf59603","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6f31ca1bbfa0f708a7c41072c9aa2dcaccc63b9b9c3de81adda30295cf59603","first_computed_at":"2026-05-18T00:33:33.587645Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:33.587645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6Gttb7Xii4mzpvkUdvzstrCaGh85aY+knMgOsz534ZjW7VElhjMc3GMijLDIwqPHpTJFTKC1LUJaXH9z1DG8Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:33.588259Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.02379","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3428142514bba7c6ce6e6ef15b582a6d6e93ecb0be23a6566e8cbc29a6ebeb82","sha256:60eb792ead4995ea6e36260e3e58cc00f4f981e6adcb46860117cba713c8b286"],"state_sha256":"97c4c94bcb2b7edbc878c57660e9fc518110529b5d98f8be71f6b34a272e7796"}