{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:JRXZYZ4CWGTAALFHDB3XNCFHO5","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":"6cb0486a5cc139513549510d358210259165de05ee1eaf2016f3ff11398d0a5c","cross_cats_sorted":["math.AG","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-08-27T20:07:37Z","title_canon_sha256":"b7830eb92e01f7be6d8eded7f8b621fefb830bcb9b2363b0de15c1d45be3ef66"},"schema_version":"1.0","source":{"id":"1808.09021","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.09021","created_at":"2026-05-18T00:07:04Z"},{"alias_kind":"arxiv_version","alias_value":"1808.09021v1","created_at":"2026-05-18T00:07:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.09021","created_at":"2026-05-18T00:07:04Z"},{"alias_kind":"pith_short_12","alias_value":"JRXZYZ4CWGTA","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JRXZYZ4CWGTAALFH","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JRXZYZ4C","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:162d85a8d4763af586e55ed05bd223d17cc0ae3fe95a5a654953cac3e5e2b63a","target":"graph","created_at":"2026-05-18T00:07:04Z","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":"Let F be the function field of a curve over a p-adic field. Let D/F be a central division algebra of prime exponent $\\ell$ which is different from p. Assume that F contains a primitive ${\\ell}^2$-th root of unity. Then the group $SK_1(D):=SL_1(D)/[D^*, D^*]$ is trivial.","authors_text":"Nivedita Bhaskhar","cross_cats":["math.AG","math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-08-27T20:07:37Z","title":"Reduced Whitehead groups of prime exponent algebras over p-adic curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.09021","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":"sha256:35356e605fe5bd9b9e8e3ea69d14ebf91e6213de531a742215247ed1f26ecdf0","target":"record","created_at":"2026-05-18T00:07:04Z","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":"6cb0486a5cc139513549510d358210259165de05ee1eaf2016f3ff11398d0a5c","cross_cats_sorted":["math.AG","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-08-27T20:07:37Z","title_canon_sha256":"b7830eb92e01f7be6d8eded7f8b621fefb830bcb9b2363b0de15c1d45be3ef66"},"schema_version":"1.0","source":{"id":"1808.09021","kind":"arxiv","version":1}},"canonical_sha256":"4c6f9c6782b1a6002ca718777688a7776cc59cf484ad9fbc39d6dde0ca17dffc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c6f9c6782b1a6002ca718777688a7776cc59cf484ad9fbc39d6dde0ca17dffc","first_computed_at":"2026-05-18T00:07:04.854269Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:04.854269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hrNHaao0KWzIx9vmY7P7QWkuC7/iKp3ooF2efCIXumVuhgEpehE/I45wCGs5mxPgUv4h2XkpuafiMc6nWERzCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:04.854926Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.09021","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35356e605fe5bd9b9e8e3ea69d14ebf91e6213de531a742215247ed1f26ecdf0","sha256:162d85a8d4763af586e55ed05bd223d17cc0ae3fe95a5a654953cac3e5e2b63a"],"state_sha256":"dd4383b7de6272609da5bcf86dce9105ddd879aabf1e8d28db87a14ea6efb4ff"}