{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:RS352T2WDLU565KHILLB3SV3N2","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":"077b70dd3025822319e6c12c0b9fe65f2174041b5860f62bf208b1960381790f","cross_cats_sorted":["math.DS","math.GN","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2012-08-01T12:53:01Z","title_canon_sha256":"87a95b0608f43a6d183ef1dcee05f13496a90f1d01899b441f54be23d0863f6e"},"schema_version":"1.0","source":{"id":"1208.0196","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.0196","created_at":"2026-05-18T03:49:36Z"},{"alias_kind":"arxiv_version","alias_value":"1208.0196v1","created_at":"2026-05-18T03:49:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.0196","created_at":"2026-05-18T03:49:36Z"},{"alias_kind":"pith_short_12","alias_value":"RS352T2WDLU5","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RS352T2WDLU565KH","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RS352T2W","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:13d7b9a7ede673cc61b75dcd56a53f78d0111074b2de5fb65c141f41c88c5d95","target":"graph","created_at":"2026-05-18T03:49:36Z","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 study the action of G = SL(2,R) on its type space S_G(R) where R denotes the field of real numbers. We identify a minimal closed G-flow I, and an idempotent r of I (with the respect to the Ellis semigroup structure * on I). We show that the group (r*I,*) has 2 elements, yielding a negative answer to a question of Newelski.","authors_text":"Anand Pillay, Davide Penazzi, Jakub Gismatullin","cross_cats":["math.DS","math.GN","math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2012-08-01T12:53:01Z","title":"Some model theory of SL(2,R)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.0196","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:be71ba502c443d905e8e79769bc6eb608e4c25539c5a166738d28a9b3742fa5e","target":"record","created_at":"2026-05-18T03:49:36Z","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":"077b70dd3025822319e6c12c0b9fe65f2174041b5860f62bf208b1960381790f","cross_cats_sorted":["math.DS","math.GN","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2012-08-01T12:53:01Z","title_canon_sha256":"87a95b0608f43a6d183ef1dcee05f13496a90f1d01899b441f54be23d0863f6e"},"schema_version":"1.0","source":{"id":"1208.0196","kind":"arxiv","version":1}},"canonical_sha256":"8cb7dd4f561ae9df754742d61dcabb6e82115506cbb0db477695fa42055fd78c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8cb7dd4f561ae9df754742d61dcabb6e82115506cbb0db477695fa42055fd78c","first_computed_at":"2026-05-18T03:49:36.029529Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:36.029529Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QQimJK3FUZuGJANsh956vy0dOCwnkbNw5ovp/ZXJ08m0Ujdd09ppuqWDCTgn46JIe244eADlyiWowiHk41D0BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:36.030239Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.0196","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be71ba502c443d905e8e79769bc6eb608e4c25539c5a166738d28a9b3742fa5e","sha256:13d7b9a7ede673cc61b75dcd56a53f78d0111074b2de5fb65c141f41c88c5d95"],"state_sha256":"3faa50579a260b96a64f4b249bb1e74f90391388836bde647c3b788c4d17f957"}