{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:FD6EP5SN475PLRUWCWZSYYVF2J","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":"8e69286d48e48a117a82bec3bbda7b466f644c1a974b7477491cf28f2e7ffb8f","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2020-08-24T20:18:23Z","title_canon_sha256":"f57f1b5268e9f56d2463682f93291f2f8264c21b45ef3a065972a8f807b71552"},"schema_version":"1.0","source":{"id":"2008.10687","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.10687","created_at":"2026-07-05T01:29:29Z"},{"alias_kind":"arxiv_version","alias_value":"2008.10687v1","created_at":"2026-07-05T01:29:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.10687","created_at":"2026-07-05T01:29:29Z"},{"alias_kind":"pith_short_12","alias_value":"FD6EP5SN475P","created_at":"2026-07-05T01:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"FD6EP5SN475PLRUW","created_at":"2026-07-05T01:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"FD6EP5SN","created_at":"2026-07-05T01:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:8f7f4481a0df9cdfd972f051f4a771fe5fe4b36789cdf4c28c6b292c624d70ab","target":"graph","created_at":"2026-07-05T01:29:29Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2008.10687/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that an irreducible lattice in a real semi-simple Lie group of real rank at least two and finite center is not left-orderable.","authors_text":"Bertrand Deroin, Sebastian Hurtado","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2020-08-24T20:18:23Z","title":"Non left-orderability of lattices in higher rank semi-simple Lie groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.10687","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":"sha256:35fadaac40efe699ad03e3312d27e08f18c9da77ae8d2e33b9307542159a7c52","target":"record","created_at":"2026-07-05T01:29:29Z","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":"8e69286d48e48a117a82bec3bbda7b466f644c1a974b7477491cf28f2e7ffb8f","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2020-08-24T20:18:23Z","title_canon_sha256":"f57f1b5268e9f56d2463682f93291f2f8264c21b45ef3a065972a8f807b71552"},"schema_version":"1.0","source":{"id":"2008.10687","kind":"arxiv","version":1}},"canonical_sha256":"28fc47f64de7faf5c69615b32c62a5d253c9526391c428947f32784a5de87e1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28fc47f64de7faf5c69615b32c62a5d253c9526391c428947f32784a5de87e1e","first_computed_at":"2026-07-05T01:29:29.103390Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:29:29.103390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xykg4bPtBYkKLeO3bN2TKrpFN1VplVtwmlPzl1gFsav/Vdcy2Tz4rNeD6alShIIWehvA+hbD+m6Kfytvey/pCw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:29:29.103836Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.10687","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35fadaac40efe699ad03e3312d27e08f18c9da77ae8d2e33b9307542159a7c52","sha256:8f7f4481a0df9cdfd972f051f4a771fe5fe4b36789cdf4c28c6b292c624d70ab"],"state_sha256":"e98b58301ca959c2414ff34ef68401a45cecaca1a2ee09f95771ea3d5654d167"}