{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:LNFDJOXTMLMS7UXLEFVY2DI6EM","short_pith_number":"pith:LNFDJOXT","canonical_record":{"source":{"id":"1307.6783","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-07-25T15:20:16Z","cross_cats_sorted":[],"title_canon_sha256":"ad38c8ff74c459c39ccfb79451c4e119c6d23586414d4d7306d6c925c5459e51","abstract_canon_sha256":"e3adb7f30d3265b358d7cad70a01ebd24b47ee58321cf318e63f28878ad98234"},"schema_version":"1.0"},"canonical_sha256":"5b4a34baf362d92fd2eb216b8d0d1e23218bd5b0f454420891361fde76cccc9d","source":{"kind":"arxiv","id":"1307.6783","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.6783","created_at":"2026-05-18T02:31:36Z"},{"alias_kind":"arxiv_version","alias_value":"1307.6783v2","created_at":"2026-05-18T02:31:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.6783","created_at":"2026-05-18T02:31:36Z"},{"alias_kind":"pith_short_12","alias_value":"LNFDJOXTMLMS","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LNFDJOXTMLMS7UXL","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LNFDJOXT","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:LNFDJOXTMLMS7UXLEFVY2DI6EM","target":"record","payload":{"canonical_record":{"source":{"id":"1307.6783","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-07-25T15:20:16Z","cross_cats_sorted":[],"title_canon_sha256":"ad38c8ff74c459c39ccfb79451c4e119c6d23586414d4d7306d6c925c5459e51","abstract_canon_sha256":"e3adb7f30d3265b358d7cad70a01ebd24b47ee58321cf318e63f28878ad98234"},"schema_version":"1.0"},"canonical_sha256":"5b4a34baf362d92fd2eb216b8d0d1e23218bd5b0f454420891361fde76cccc9d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:36.213432Z","signature_b64":"5Oq5HQORlhu1Ii9u7e3qysQax+/N4aDuLFMONQokvXaCaBcwzjrv3Rt/4XBQve7UKTNo4O1sxkKdCAX/80dMDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b4a34baf362d92fd2eb216b8d0d1e23218bd5b0f454420891361fde76cccc9d","last_reissued_at":"2026-05-18T02:31:36.212965Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:36.212965Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.6783","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:31:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BTPCb3rcZeB3z8aMu+vFInIEccvBxLeRM73HK/gTljPqyTt5PRIBxsoaAM7ko+x83pph/0Oqf4S5S5tJoMecDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:55:50.254630Z"},"content_sha256":"1acf958989a16a1e4ad5e1d87584372f068448de63c26ff88989c7322bdb0947","schema_version":"1.0","event_id":"sha256:1acf958989a16a1e4ad5e1d87584372f068448de63c26ff88989c7322bdb0947"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:LNFDJOXTMLMS7UXLEFVY2DI6EM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effective coherence of groups discriminated by a locally quasi-convex hyperbolic group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Inna Bumagin, Jeremy Macdonald","submitted_at":"2013-07-25T15:20:16Z","abstract_excerpt":"We prove that every finitely generated group $G$ discriminated by a locally quasi-convex torsion-free hyperbolic group $\\Gamma$ is effectively coherent: that is, presentations for finitely generated subgroups can be computed from the subgroup generators. We study $G$ via its embedding into an iterated centralizer extension of $\\Gamma$, and prove that this embedding can be computed. We also give algorithms to enumerate all finitely generated groups discriminated by $\\Gamma$ and to decide whether a given group, with decidable word problem, is discriminated by $\\Gamma$. If $\\Gamma$ may have torsi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.6783","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:31:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wTtaqokjpfyK7Uc4gm7xP8bevMsJ3I9iucGPQlTFfFd7cmwKchWeimLM2LFjkU5SpwP/tmI5hfDEZnKeZYW5AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:55:50.255102Z"},"content_sha256":"b716e8a581948f39e42718cfd60ede9403af03de32846d4be407e7bbc9ff11d2","schema_version":"1.0","event_id":"sha256:b716e8a581948f39e42718cfd60ede9403af03de32846d4be407e7bbc9ff11d2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LNFDJOXTMLMS7UXLEFVY2DI6EM/bundle.json","state_url":"https://pith.science/pith/LNFDJOXTMLMS7UXLEFVY2DI6EM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LNFDJOXTMLMS7UXLEFVY2DI6EM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-03T20:55:50Z","links":{"resolver":"https://pith.science/pith/LNFDJOXTMLMS7UXLEFVY2DI6EM","bundle":"https://pith.science/pith/LNFDJOXTMLMS7UXLEFVY2DI6EM/bundle.json","state":"https://pith.science/pith/LNFDJOXTMLMS7UXLEFVY2DI6EM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LNFDJOXTMLMS7UXLEFVY2DI6EM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LNFDJOXTMLMS7UXLEFVY2DI6EM","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":"e3adb7f30d3265b358d7cad70a01ebd24b47ee58321cf318e63f28878ad98234","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-07-25T15:20:16Z","title_canon_sha256":"ad38c8ff74c459c39ccfb79451c4e119c6d23586414d4d7306d6c925c5459e51"},"schema_version":"1.0","source":{"id":"1307.6783","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.6783","created_at":"2026-05-18T02:31:36Z"},{"alias_kind":"arxiv_version","alias_value":"1307.6783v2","created_at":"2026-05-18T02:31:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.6783","created_at":"2026-05-18T02:31:36Z"},{"alias_kind":"pith_short_12","alias_value":"LNFDJOXTMLMS","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LNFDJOXTMLMS7UXL","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LNFDJOXT","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:b716e8a581948f39e42718cfd60ede9403af03de32846d4be407e7bbc9ff11d2","target":"graph","created_at":"2026-05-18T02:31:36Z","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":"We prove that every finitely generated group $G$ discriminated by a locally quasi-convex torsion-free hyperbolic group $\\Gamma$ is effectively coherent: that is, presentations for finitely generated subgroups can be computed from the subgroup generators. We study $G$ via its embedding into an iterated centralizer extension of $\\Gamma$, and prove that this embedding can be computed. We also give algorithms to enumerate all finitely generated groups discriminated by $\\Gamma$ and to decide whether a given group, with decidable word problem, is discriminated by $\\Gamma$. If $\\Gamma$ may have torsi","authors_text":"Inna Bumagin, Jeremy Macdonald","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-07-25T15:20:16Z","title":"Effective coherence of groups discriminated by a locally quasi-convex hyperbolic group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.6783","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":"sha256:1acf958989a16a1e4ad5e1d87584372f068448de63c26ff88989c7322bdb0947","target":"record","created_at":"2026-05-18T02:31:36Z","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":"e3adb7f30d3265b358d7cad70a01ebd24b47ee58321cf318e63f28878ad98234","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-07-25T15:20:16Z","title_canon_sha256":"ad38c8ff74c459c39ccfb79451c4e119c6d23586414d4d7306d6c925c5459e51"},"schema_version":"1.0","source":{"id":"1307.6783","kind":"arxiv","version":2}},"canonical_sha256":"5b4a34baf362d92fd2eb216b8d0d1e23218bd5b0f454420891361fde76cccc9d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b4a34baf362d92fd2eb216b8d0d1e23218bd5b0f454420891361fde76cccc9d","first_computed_at":"2026-05-18T02:31:36.212965Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:36.212965Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5Oq5HQORlhu1Ii9u7e3qysQax+/N4aDuLFMONQokvXaCaBcwzjrv3Rt/4XBQve7UKTNo4O1sxkKdCAX/80dMDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:36.213432Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.6783","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1acf958989a16a1e4ad5e1d87584372f068448de63c26ff88989c7322bdb0947","sha256:b716e8a581948f39e42718cfd60ede9403af03de32846d4be407e7bbc9ff11d2"],"state_sha256":"638ff73b17f9feac82b0a9ddb8daa32827b1293f58a5c50e0a1a82360575bb57"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PxaU5NZzSZda8CL0fY/arQGxdgtHAolzfRfs3yQRemKcSlFuAx+ZccLeq0uGOY12aLPJ8e/DSUW8cgEaLO5QAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T20:55:50.257169Z","bundle_sha256":"0442a8d7de4f5aa9f2918392f8ed4d6ac759c532a9d1a8ba191b5c55b3bd3814"}}