{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:M5BOZSGQI2OEJW6ZD5IRQB5WGH","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":"3c2ffb108925a360baa4ff7f278ac7707a90c1fb273db5736841fee5d3bbdfab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-12-08T14:26:35Z","title_canon_sha256":"2d3dcdf9d32c514c2603b7356e27e4dd8aab4c5fb51d1c1e36526075344e457f"},"schema_version":"1.0","source":{"id":"1512.02480","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.02480","created_at":"2026-05-18T01:19:49Z"},{"alias_kind":"arxiv_version","alias_value":"1512.02480v2","created_at":"2026-05-18T01:19:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.02480","created_at":"2026-05-18T01:19:49Z"},{"alias_kind":"pith_short_12","alias_value":"M5BOZSGQI2OE","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"M5BOZSGQI2OEJW6Z","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"M5BOZSGQ","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:fbf97d562ab4f4aa87561c4b15ec654ec46c8837ca55c113e8b8367f0fcb133e","target":"graph","created_at":"2026-05-18T01:19:49Z","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 obtain a class of examples of non-rational adjoint classical groups of type $^2A_n$ and a group of type $^2D_3$ over the function field $F$ of a smooth geometrically integral curve over a $p$-adic field with $p \\neq 2$. We also show that for any group of type $C_n$ over $F$, the group of rational equivalence classes of $G$ over $F$ is trivial, i.e., $G(F)/R=(1)$.","authors_text":"A. Soman, R. Preeti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-12-08T14:26:35Z","title":"Adjoint groups over ${\\mathbb Q}_p (X)$ and R-equivalence - revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.02480","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":"sha256:27f95de8b90047131aadd6c57f93b67245f628d6830eadee9fdfcfed583d6c1e","target":"record","created_at":"2026-05-18T01:19:49Z","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":"3c2ffb108925a360baa4ff7f278ac7707a90c1fb273db5736841fee5d3bbdfab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-12-08T14:26:35Z","title_canon_sha256":"2d3dcdf9d32c514c2603b7356e27e4dd8aab4c5fb51d1c1e36526075344e457f"},"schema_version":"1.0","source":{"id":"1512.02480","kind":"arxiv","version":2}},"canonical_sha256":"6742ecc8d0469c44dbd91f511807b631e1967cb9e13abeb256910459f12f2545","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6742ecc8d0469c44dbd91f511807b631e1967cb9e13abeb256910459f12f2545","first_computed_at":"2026-05-18T01:19:49.453748Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:49.453748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IhxX65bAhBRweh2vetlieiht05ym0c8x+Fm/0lId6IX38fCxR/9Un5bxvIVrhwCY7WNNtNAsNC8A75tiuHYtAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:49.454208Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.02480","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27f95de8b90047131aadd6c57f93b67245f628d6830eadee9fdfcfed583d6c1e","sha256:fbf97d562ab4f4aa87561c4b15ec654ec46c8837ca55c113e8b8367f0fcb133e"],"state_sha256":"e0ee683e815ea07147798197c9656be886ad5afc028726001abf020dbe0af742"}