{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:J2HUVNTX2WWVTMSLFYSTCBJQBU","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":"95f0a7b59639abf08e2532273f18434a60ede7f4bf4b9360d113253a0968f695","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2017-09-01T06:19:00Z","title_canon_sha256":"5bd3bceb7727d8243b2d0434079d99277395a42cd95902c508ba17400bf72bb4"},"schema_version":"1.0","source":{"id":"1709.00169","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.00169","created_at":"2026-05-17T23:51:56Z"},{"alias_kind":"arxiv_version","alias_value":"1709.00169v2","created_at":"2026-05-17T23:51:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.00169","created_at":"2026-05-17T23:51:56Z"},{"alias_kind":"pith_short_12","alias_value":"J2HUVNTX2WWV","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"J2HUVNTX2WWVTMSL","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"J2HUVNTX","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:52830d0fc49d49dfc253e46e1c67aa97e359c85001fb022dece8beaf4b8fabb5","target":"graph","created_at":"2026-05-17T23:51:56Z","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 this paper we give algebraic characterizations of the affine $2$-space and the affine $3$-space over an algebraically closed field of characteristic zero, using a variant of the Makar-Limanov invariant.","authors_text":"Neena Gupta, Nikhilesh Dasgupta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2017-09-01T06:19:00Z","title":"An algebraic characterization of the affine three space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.00169","kind":"arxiv","version":2},"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":"sha256:08efb5608634b928f8ec8899cb122377c6ac2d6936c213f3e146c7d4bb2f9202","target":"record","created_at":"2026-05-17T23:51:56Z","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":"95f0a7b59639abf08e2532273f18434a60ede7f4bf4b9360d113253a0968f695","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2017-09-01T06:19:00Z","title_canon_sha256":"5bd3bceb7727d8243b2d0434079d99277395a42cd95902c508ba17400bf72bb4"},"schema_version":"1.0","source":{"id":"1709.00169","kind":"arxiv","version":2}},"canonical_sha256":"4e8f4ab677d5ad59b24b2e253105300d020dd3de94830c66aae7971c48219269","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e8f4ab677d5ad59b24b2e253105300d020dd3de94830c66aae7971c48219269","first_computed_at":"2026-05-17T23:51:56.091393Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:56.091393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2FnDrzaRG7GhLBi2trvLEH2WXuiix8obflhgmFqCobSPTTmzvH6V+Qc5LWDtri0m3Xap5xV+unF9vLVhE9qhCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:56.091841Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.00169","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08efb5608634b928f8ec8899cb122377c6ac2d6936c213f3e146c7d4bb2f9202","sha256:52830d0fc49d49dfc253e46e1c67aa97e359c85001fb022dece8beaf4b8fabb5"],"state_sha256":"2075b090eed16ca6f60f234b4e486ce4e9153511fd3c14f4792aaadc1ebce883"}