{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3QY7UH4ZG3JNEQQDBLVRSEFLGA","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":"6aba6bb5b69574ee59a9ede51bd387d8cb2499e6a1bb2c935dd60fde1cd36cb6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-04-25T08:33:16Z","title_canon_sha256":"e218849525d93a3e448935749f85380881079855d357afa87a98432863522957"},"schema_version":"1.0","source":{"id":"1804.09425","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.09425","created_at":"2026-05-18T00:17:31Z"},{"alias_kind":"arxiv_version","alias_value":"1804.09425v1","created_at":"2026-05-18T00:17:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.09425","created_at":"2026-05-18T00:17:31Z"},{"alias_kind":"pith_short_12","alias_value":"3QY7UH4ZG3JN","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3QY7UH4ZG3JNEQQD","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3QY7UH4Z","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:c73d1bdc0fc4b77dff8cc342d5187a1adf2b443d016eeb65acc16281a5ec1bf1","target":"graph","created_at":"2026-05-18T00:17:31Z","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":"This paper gives a quick overview of the author's recent result that all finitely presented groups are QSF.","authors_text":"Valentin Po\\'enaru","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-04-25T08:33:16Z","title":"Topics in geometric group theory, Part II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.09425","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":"sha256:8aa5ed1455176041861fd87370393ba9c0def265b2a28b9a6157ca04ecac3826","target":"record","created_at":"2026-05-18T00:17:31Z","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":"6aba6bb5b69574ee59a9ede51bd387d8cb2499e6a1bb2c935dd60fde1cd36cb6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-04-25T08:33:16Z","title_canon_sha256":"e218849525d93a3e448935749f85380881079855d357afa87a98432863522957"},"schema_version":"1.0","source":{"id":"1804.09425","kind":"arxiv","version":1}},"canonical_sha256":"dc31fa1f9936d2d242030aeb1910ab303aaa469368f5445cda9eb08e74991249","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc31fa1f9936d2d242030aeb1910ab303aaa469368f5445cda9eb08e74991249","first_computed_at":"2026-05-18T00:17:31.834773Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:31.834773Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c+MBSDMq9AEpfqWC9Luax0OCkHhDOvdFFjETCQHpR+YIllCRWQVOzck65fpmUQCFgaTEdPP9a4R3m6hzu8v9Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:31.835386Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.09425","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8aa5ed1455176041861fd87370393ba9c0def265b2a28b9a6157ca04ecac3826","sha256:c73d1bdc0fc4b77dff8cc342d5187a1adf2b443d016eeb65acc16281a5ec1bf1"],"state_sha256":"3bac3dfde1f576528c723ec5273e41fcb1603ef9c39b173c609fdd4cf821b952"}