{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UOJS3FULY37QRWD7QQ5DOYUST5","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":"321304e03ba801dca9de085ce3b80dfaf32ca0a177c6be54793712bfd0e6c5c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-12-11T22:11:44Z","title_canon_sha256":"fbb251a88684120b238080c7c0c6dd92f73451937c32a4a4d60eb84bcac5b656"},"schema_version":"1.0","source":{"id":"1612.03491","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.03491","created_at":"2026-05-17T23:54:11Z"},{"alias_kind":"arxiv_version","alias_value":"1612.03491v2","created_at":"2026-05-17T23:54:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.03491","created_at":"2026-05-17T23:54:11Z"},{"alias_kind":"pith_short_12","alias_value":"UOJS3FULY37Q","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UOJS3FULY37QRWD7","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UOJS3FUL","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:b615437927bcaa62dbaf7a15050c4286ad943458c4705a34ff6e974826972f89","target":"graph","created_at":"2026-05-17T23:54:11Z","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":"For finitely generated groups H and G, equipped with word metrics, a translation-like action of H on G is a free action such that each element of H acts by a map which has finite distance from the identity map in the uniform metric. For example, if H is a subgroup of G, then right translation by elements of H yields a translation-like action of H on G. Whyte asked whether a group with no translation-like action by a Baumslag-Solitar group must be hyperbolic, where the free abelian group of rank 2 is understood to be a Baumslag-Solitar group. We show that the converse of this conjecture is fals","authors_text":"David Bruce Cohen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-12-11T22:11:44Z","title":"A counterexample to the easy direction of the geometric Gersten conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.03491","kind":"arxiv","version":2},"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":"sha256:6ba8b66a215b66ca8dd4f34161b151aadc3579664ade92e780d905092642f660","target":"record","created_at":"2026-05-17T23:54:11Z","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":"321304e03ba801dca9de085ce3b80dfaf32ca0a177c6be54793712bfd0e6c5c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-12-11T22:11:44Z","title_canon_sha256":"fbb251a88684120b238080c7c0c6dd92f73451937c32a4a4d60eb84bcac5b656"},"schema_version":"1.0","source":{"id":"1612.03491","kind":"arxiv","version":2}},"canonical_sha256":"a3932d968bc6ff08d87f843a3762929f452c75ee11e5f1ebe60aee65b4f02f8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3932d968bc6ff08d87f843a3762929f452c75ee11e5f1ebe60aee65b4f02f8b","first_computed_at":"2026-05-17T23:54:11.911866Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:11.911866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h8AJlmPyqdoHReCe+NUonI6wCUxvgi6yrmpSHmP6AdbAh3V+Dguml4JcYCScR4ZXYD8q5F5Q7zoqrZxvlT/eCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:11.912296Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.03491","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ba8b66a215b66ca8dd4f34161b151aadc3579664ade92e780d905092642f660","sha256:b615437927bcaa62dbaf7a15050c4286ad943458c4705a34ff6e974826972f89"],"state_sha256":"a63e91a6d6f55575039a81269a6ed22df58d0ed9e913f25cf2b55604c6d984ee"}