{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:KIUYJTLZH5ATTLFU2BWPWMDWOR","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":"070632078c22dbd3a922d0639c8856e94f3876b720e4700fe6af59faeff52f20","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2020-02-04T18:44:12Z","title_canon_sha256":"725df0fc572b2cf0dd03760df3fcf7f5d7985cf365a19e8e03832a5028a314f1"},"schema_version":"1.0","source":{"id":"2002.01466","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.01466","created_at":"2026-07-05T03:45:22Z"},{"alias_kind":"arxiv_version","alias_value":"2002.01466v4","created_at":"2026-07-05T03:45:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.01466","created_at":"2026-07-05T03:45:22Z"},{"alias_kind":"pith_short_12","alias_value":"KIUYJTLZH5AT","created_at":"2026-07-05T03:45:22Z"},{"alias_kind":"pith_short_16","alias_value":"KIUYJTLZH5ATTLFU","created_at":"2026-07-05T03:45:22Z"},{"alias_kind":"pith_short_8","alias_value":"KIUYJTLZ","created_at":"2026-07-05T03:45:22Z"}],"graph_snapshots":[{"event_id":"sha256:931a1836785f836adc2abdb732fa44ae0f35d510e19fc82baa95b42516c77b12","target":"graph","created_at":"2026-07-05T03:45:22Z","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/2002.01466/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We exhibit examples of separable boundaries for non-hyperbolic groups. The main ingredient is the alignment property introduced by Furman in the study of rigidity properties of discrete subgroups of algebraic groups.","authors_text":"Florin Radulescu, Jacopo Bassi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2020-02-04T18:44:12Z","title":"Separable boundaries for non-hyperbolic groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.01466","kind":"arxiv","version":4},"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:e6598d07db2cadf195d60fa7163c5328efcdda7ec03a5b8a4b3c1150a7ebbe13","target":"record","created_at":"2026-07-05T03:45:22Z","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":"070632078c22dbd3a922d0639c8856e94f3876b720e4700fe6af59faeff52f20","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2020-02-04T18:44:12Z","title_canon_sha256":"725df0fc572b2cf0dd03760df3fcf7f5d7985cf365a19e8e03832a5028a314f1"},"schema_version":"1.0","source":{"id":"2002.01466","kind":"arxiv","version":4}},"canonical_sha256":"522984cd793f4139acb4d06cfb3076744d2a1d3cf7f5087dc6f5dd3a57f8c54a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"522984cd793f4139acb4d06cfb3076744d2a1d3cf7f5087dc6f5dd3a57f8c54a","first_computed_at":"2026-07-05T03:45:22.687143Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:45:22.687143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wJD35f6Gd72f7ik7/GHZZjzp12X6RtZPjNdvWnG8bglebwtgn/hOrDqndQJZ/v40g2YOKqtjeDVlVFkOGr2LAw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:45:22.687618Z","signed_message":"canonical_sha256_bytes"},"source_id":"2002.01466","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e6598d07db2cadf195d60fa7163c5328efcdda7ec03a5b8a4b3c1150a7ebbe13","sha256:931a1836785f836adc2abdb732fa44ae0f35d510e19fc82baa95b42516c77b12"],"state_sha256":"eeaa3a4f414cd8e8c73b8de5c9c957597ae51ebd2be03b6d93f2bc341fafd103"}