{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6LSXBUICJBHERML4N7G7Q4RK7C","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":"8ee6a269a2ff60c75cf0fc3925f3da6a8148a5eaef0e4111a7c933363aaf028a","cross_cats_sorted":["math.AC","math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-02-16T10:34:58Z","title_canon_sha256":"eecb9ad6b2e219630ee303fec316c89a5a305ef09621eddc01542c5ee01e9be3"},"schema_version":"1.0","source":{"id":"1102.3292","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.3292","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"arxiv_version","alias_value":"1102.3292v4","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.3292","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"pith_short_12","alias_value":"6LSXBUICJBHE","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6LSXBUICJBHERML4","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6LSXBUIC","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:01446fa591bed30528cc5fbed90db202e08b00196518707068e25b1c499c2bc5","target":"graph","created_at":"2026-05-18T00:29:06Z","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":"It is proved that every z-automorphism (z-coordinate, respectively) of the free associative algebra F<x,y,z> over an arbitrary field F is stably tame.","authors_text":"Alexei Belov, Jie-Tai Yu","cross_cats":["math.AC","math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-02-16T10:34:58Z","title":"Stable tameness of automorphisms of F<x,y,z> fixing z"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.3292","kind":"arxiv","version":4},"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":"sha256:3c7089a19f0a042316b88a84fa2a2669201b9276a63e6a99d8bea1ce5419617f","target":"record","created_at":"2026-05-18T00:29:06Z","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":"8ee6a269a2ff60c75cf0fc3925f3da6a8148a5eaef0e4111a7c933363aaf028a","cross_cats_sorted":["math.AC","math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-02-16T10:34:58Z","title_canon_sha256":"eecb9ad6b2e219630ee303fec316c89a5a305ef09621eddc01542c5ee01e9be3"},"schema_version":"1.0","source":{"id":"1102.3292","kind":"arxiv","version":4}},"canonical_sha256":"f2e570d102484e48b17c6fcdf8722af8b0d497911412a9ca9ddc377419b02803","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f2e570d102484e48b17c6fcdf8722af8b0d497911412a9ca9ddc377419b02803","first_computed_at":"2026-05-18T00:29:06.148660Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:06.148660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WdNFQlscFn96SG3kRtjqNlEJVlEG+Ld0J2FfxoqV29Nz6a3W71yyyejkBLSe96Sb7Wr6jTQOzS5bA3MLrPxBBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:06.149378Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.3292","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c7089a19f0a042316b88a84fa2a2669201b9276a63e6a99d8bea1ce5419617f","sha256:01446fa591bed30528cc5fbed90db202e08b00196518707068e25b1c499c2bc5"],"state_sha256":"f0894554078a1a3f6a2cbfc7ea1bda02cb8261577a0863e75ded16ae9aba370b"}