{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:645MTNVWO5242FLCZPAB2FRH6U","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":"7858880409977ca004dea72cbb1a7acd64bde3277b907add13bcecbcf2c97035","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2010-11-24T10:52:13Z","title_canon_sha256":"ca072caca79d3c9c0f0c5667928a7ea63a0800af4eaa688a60e241231a6b7a39"},"schema_version":"1.0","source":{"id":"1011.5333","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.5333","created_at":"2026-05-18T03:10:24Z"},{"alias_kind":"arxiv_version","alias_value":"1011.5333v1","created_at":"2026-05-18T03:10:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.5333","created_at":"2026-05-18T03:10:24Z"},{"alias_kind":"pith_short_12","alias_value":"645MTNVWO524","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"645MTNVWO5242FLC","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"645MTNVW","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:23b8fe546cf52ed035d56ca40f1bdb6d5f793e054f244c8330b733a590e9535c","target":"graph","created_at":"2026-05-18T03:10:24Z","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":"This paper contains several results about the Chabauty space of a general locally compact abelian group. Notably, we determine its topological dimension, we characterize when it is totally disconnected or connected; we characterize isolated points.","authors_text":"Yves Cornulier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2010-11-24T10:52:13Z","title":"On the Chabauty space of locally compact abelian groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.5333","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":"sha256:31f0623cd436e1650e91ac68fdc910ed72f3d95b82a7c17411b23fff7ed1206a","target":"record","created_at":"2026-05-18T03:10:24Z","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":"7858880409977ca004dea72cbb1a7acd64bde3277b907add13bcecbcf2c97035","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2010-11-24T10:52:13Z","title_canon_sha256":"ca072caca79d3c9c0f0c5667928a7ea63a0800af4eaa688a60e241231a6b7a39"},"schema_version":"1.0","source":{"id":"1011.5333","kind":"arxiv","version":1}},"canonical_sha256":"f73ac9b6b67775cd1562cbc01d1627f500d2ad7a8144fa278bc8009741afc8f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f73ac9b6b67775cd1562cbc01d1627f500d2ad7a8144fa278bc8009741afc8f9","first_computed_at":"2026-05-18T03:10:24.752907Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:24.752907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uzadzvgho+92SPijeTYYphdaS93MTqIThhT2D9KP0N2OT3UOPA81j00UjHQcgV9hTHzVfjnsWDzSEUTox88yBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:24.753645Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.5333","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31f0623cd436e1650e91ac68fdc910ed72f3d95b82a7c17411b23fff7ed1206a","sha256:23b8fe546cf52ed035d56ca40f1bdb6d5f793e054f244c8330b733a590e9535c"],"state_sha256":"b3636024728b2a2f06af4216d1e73e8d3fa72e86075cae4eb60cc93e165730d6"}