{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:U3IDXXSXFFO7FFMTLI6RBOPQX7","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":"1f238c7475518ecdebc23b47601ce795f955c8e069fe723088cb99a7d257a06b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.GT","submitted_at":"2018-04-03T15:56:27Z","title_canon_sha256":"9d3790798826a2ec0d8127e0fe8539a7aec7c49de0f3c7b8695badb6d1925624"},"schema_version":"1.0","source":{"id":"1804.01047","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.01047","created_at":"2026-05-18T00:19:31Z"},{"alias_kind":"arxiv_version","alias_value":"1804.01047v1","created_at":"2026-05-18T00:19:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01047","created_at":"2026-05-18T00:19:31Z"},{"alias_kind":"pith_short_12","alias_value":"U3IDXXSXFFO7","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"U3IDXXSXFFO7FFMT","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"U3IDXXSX","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:f3b79cfd4085ee53798e92fb8f2f2a831397733e969a56092df213942ade4fa3","target":"graph","created_at":"2026-05-18T00:19:31Z","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 construct an infinite discrete subgroup of the isometry group of $\\mathbb H^3$ with no finite quotients other than the trivial group.","authors_text":"Juan Souto, Tommaso Cremaschi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.GT","submitted_at":"2018-04-03T15:56:27Z","title":"Discrete groups without finite quotients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01047","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":"sha256:60bf1801d2cd3972a8ba450c35ce668188ac9fce89079c2df12c6089bf629740","target":"record","created_at":"2026-05-18T00:19:31Z","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":"1f238c7475518ecdebc23b47601ce795f955c8e069fe723088cb99a7d257a06b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.GT","submitted_at":"2018-04-03T15:56:27Z","title_canon_sha256":"9d3790798826a2ec0d8127e0fe8539a7aec7c49de0f3c7b8695badb6d1925624"},"schema_version":"1.0","source":{"id":"1804.01047","kind":"arxiv","version":1}},"canonical_sha256":"a6d03bde57295df295935a3d10b9f0bfed17195ec61e150baeee43b65e68ac6d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6d03bde57295df295935a3d10b9f0bfed17195ec61e150baeee43b65e68ac6d","first_computed_at":"2026-05-18T00:19:31.462701Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:31.462701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aQz7KFlOcmvxYuhhBZH1XQU4wVK5RalDSMAxTytjIvIRfupeA8YHiYfxknOWfg8FqSxVI49s0OZclEovehALCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:31.463252Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.01047","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60bf1801d2cd3972a8ba450c35ce668188ac9fce89079c2df12c6089bf629740","sha256:f3b79cfd4085ee53798e92fb8f2f2a831397733e969a56092df213942ade4fa3"],"state_sha256":"3f18ea61b4fb65d445d55e18a28b4767f16e9c5f2b56ee2c9a4ad91ade60685c"}