{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LXMQMSYA22L2NTHJI6YDXLXNIW","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":"119cbcf46ffd4e274e28931e59b0c6ff6e42a1527d1c6869f57e7ad725c8ddc9","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-01-01T18:28:58Z","title_canon_sha256":"84d3d103facdda29500959146749a0ff0336afc1145a5c5801cc3add579f3ec1"},"schema_version":"1.0","source":{"id":"1701.00275","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.00275","created_at":"2026-05-18T00:53:35Z"},{"alias_kind":"arxiv_version","alias_value":"1701.00275v1","created_at":"2026-05-18T00:53:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.00275","created_at":"2026-05-18T00:53:35Z"},{"alias_kind":"pith_short_12","alias_value":"LXMQMSYA22L2","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LXMQMSYA22L2NTHJ","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LXMQMSYA","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:2cde0cf4fc72bf6f864ca15568baeaea6e2554e6b8ae788d3d525e03737fceb7","target":"graph","created_at":"2026-05-18T00:53:35Z","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 give some examples of non-nilpotent locally nilpotent, and hence nonlinear subgroups of the planar Cremona group.","authors_text":"Yves Cornulier","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-01-01T18:28:58Z","title":"Nonlinearity of some subgroups of the planar Cremona group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.00275","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:bf9844b973bf332166e80c1ec8551bc4492ca04ce1f346d7b54c8321e9c8a331","target":"record","created_at":"2026-05-18T00:53:35Z","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":"119cbcf46ffd4e274e28931e59b0c6ff6e42a1527d1c6869f57e7ad725c8ddc9","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-01-01T18:28:58Z","title_canon_sha256":"84d3d103facdda29500959146749a0ff0336afc1145a5c5801cc3add579f3ec1"},"schema_version":"1.0","source":{"id":"1701.00275","kind":"arxiv","version":1}},"canonical_sha256":"5dd9064b00d697a6cce947b03baeed45ba7a06d2f4a7d6d9e50482210b8d1f35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5dd9064b00d697a6cce947b03baeed45ba7a06d2f4a7d6d9e50482210b8d1f35","first_computed_at":"2026-05-18T00:53:35.955466Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:35.955466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"le/Vhu7jC1ANQd184F4SqyL6vTZHveyjun2+t+1ERF8iyUeg02dW7bPAuXDVOmzstDwQPMzpP3DCPeK73ojkBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:35.956049Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.00275","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf9844b973bf332166e80c1ec8551bc4492ca04ce1f346d7b54c8321e9c8a331","sha256:2cde0cf4fc72bf6f864ca15568baeaea6e2554e6b8ae788d3d525e03737fceb7"],"state_sha256":"cfb5ef73a8e886a19aef490316470e356fc08655056f3cd5510ff29008f1fa21"}