{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6BM3OZBOGJECBFSGSX4JAV5OTZ","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":"ff984bf797968b5ba8ce0e487f85730a494ddf0dbb3fb4111816aebadf87a98c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-01-21T09:22:23Z","title_canon_sha256":"6b87605143c5d832f5a7ae7b5737d1ea03efb0746b17347dd64e1537becd955c"},"schema_version":"1.0","source":{"id":"1101.4092","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.4092","created_at":"2026-05-18T02:58:01Z"},{"alias_kind":"arxiv_version","alias_value":"1101.4092v2","created_at":"2026-05-18T02:58:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.4092","created_at":"2026-05-18T02:58:01Z"},{"alias_kind":"pith_short_12","alias_value":"6BM3OZBOGJEC","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6BM3OZBOGJECBFSG","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6BM3OZBO","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:8e2e8fdfbd2be174a4db7c6aff2679401a8aac10de4761571ec3c1f3ad674ee4","target":"graph","created_at":"2026-05-18T02:58:01Z","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 continues our exploration of homology cobordism of 3-manifolds using our recent results on Cheeger-Gromov rho-invariants associated to amenable representations. We introduce a new type of torsion in 3-manifold groups we call hidden torsion, and an algebraic approximation we call local hidden torsion. We construct infinitely many hyperbolic 3-manifolds which have local hidden torsion in the transfinite lower central subgroup. By realizing Cheeger-Gromov invariants over amenable groups, we show that our hyperbolic 3-manifolds are not pairwise homology cobordant, yet remain indistingui","authors_text":"Jae Choon Cha, Kent E. Orr","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-01-21T09:22:23Z","title":"Hidden torsion, 3-manifolds, and homology cobordism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.4092","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":"sha256:3b519e127ac82773157a6edf2e7af086cdc27576a0fc7362baa0e2b68ec47431","target":"record","created_at":"2026-05-18T02:58:01Z","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":"ff984bf797968b5ba8ce0e487f85730a494ddf0dbb3fb4111816aebadf87a98c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-01-21T09:22:23Z","title_canon_sha256":"6b87605143c5d832f5a7ae7b5737d1ea03efb0746b17347dd64e1537becd955c"},"schema_version":"1.0","source":{"id":"1101.4092","kind":"arxiv","version":2}},"canonical_sha256":"f059b7642e324820964695f89057ae9e6d3c7d9ca69033f21d1eed3c287b71fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f059b7642e324820964695f89057ae9e6d3c7d9ca69033f21d1eed3c287b71fa","first_computed_at":"2026-05-18T02:58:01.245699Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:01.245699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y0P4ZvvV2Dy4YhD46J1OSqQN6djHS/+8JlYCl7XBiqzyV3WutSfP5DHBS0zxS8iSGhDrPL9GK238wkwTND8yCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:01.246209Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.4092","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b519e127ac82773157a6edf2e7af086cdc27576a0fc7362baa0e2b68ec47431","sha256:8e2e8fdfbd2be174a4db7c6aff2679401a8aac10de4761571ec3c1f3ad674ee4"],"state_sha256":"ef76420e446672be6e186ea48c084b313f3270acb8b1160914eb5b4888d8c9ee"}