{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7BZRX2YYTN6PDD5CYZJQIHD5HM","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":"aa28e8e4032b0e2c44c2edc742cc0dcdcd17f7a8e9fa50574f53e2d8eed7a72e","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-06-07T21:54:29Z","title_canon_sha256":"092cc3043cf36742058d77292044a7eb28e1443f2f2679dc6f204dc11506b25c"},"schema_version":"1.0","source":{"id":"1506.02317","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02317","created_at":"2026-05-18T01:55:51Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02317v1","created_at":"2026-05-18T01:55:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02317","created_at":"2026-05-18T01:55:51Z"},{"alias_kind":"pith_short_12","alias_value":"7BZRX2YYTN6P","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"7BZRX2YYTN6PDD5C","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"7BZRX2YY","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:d9f47debeda29bccb07bcd8ba00302db0e9f3aace7278133cfa9b89d7ee4c183","target":"graph","created_at":"2026-05-18T01:55:51Z","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 prove that the canonical dimension of an admissible Banach space or a locally analytic representation of an arbitrary semisimple p-adic Lie group is either zero or at least half the dimension of a non-zero coadjoint orbit. This extends the results of Ardakov-Wadsley and Schmidt in the split semisimple case.","authors_text":"Christian Johansson, Konstantin Ardakov","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-06-07T21:54:29Z","title":"A canonical dimension estimate for non-split semisimple p-adic Lie groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02317","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":"sha256:5bc44687631070d75e46378bd203d265a244448091bad091906423162a6e76bc","target":"record","created_at":"2026-05-18T01:55:51Z","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":"aa28e8e4032b0e2c44c2edc742cc0dcdcd17f7a8e9fa50574f53e2d8eed7a72e","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-06-07T21:54:29Z","title_canon_sha256":"092cc3043cf36742058d77292044a7eb28e1443f2f2679dc6f204dc11506b25c"},"schema_version":"1.0","source":{"id":"1506.02317","kind":"arxiv","version":1}},"canonical_sha256":"f8731beb189b7cf18fa2c653041c7d3b38787ceaa4ca85f32f5854c484253e78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8731beb189b7cf18fa2c653041c7d3b38787ceaa4ca85f32f5854c484253e78","first_computed_at":"2026-05-18T01:55:51.523743Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:51.523743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lSkCW9qTA6oWRTss5+6W+DxqtlNgeZ9cZwuorWAnjXxCXM4myFnMQxKO3nhvu1NmdQ0ou55IN1zYeaKEwBhQAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:51.524253Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.02317","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5bc44687631070d75e46378bd203d265a244448091bad091906423162a6e76bc","sha256:d9f47debeda29bccb07bcd8ba00302db0e9f3aace7278133cfa9b89d7ee4c183"],"state_sha256":"e0b373d5d48cdbbc2f005a42186941c19bc3d50ec7739d3769f897ad5ba21fe3"}