{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:QCKL432VEI3GLYBLDYQPCQWXVD","short_pith_number":"pith:QCKL432V","canonical_record":{"source":{"id":"1312.1261","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-12-04T17:54:45Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"0f17f7e778ecb978a0fab0678fc0a8f53dbc2af17e3cd2c10104272b309e4f42","abstract_canon_sha256":"d7344f3bb66163647af2b8a146fa25bc4ad780b833774ca939baff99bd929676"},"schema_version":"1.0"},"canonical_sha256":"8094be6f55223665e02b1e20f142d7a8e618d9fa4e866783c448c61d1e12ff96","source":{"kind":"arxiv","id":"1312.1261","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.1261","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"arxiv_version","alias_value":"1312.1261v3","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1261","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"pith_short_12","alias_value":"QCKL432VEI3G","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QCKL432VEI3GLYBL","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QCKL432V","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:QCKL432VEI3GLYBLDYQPCQWXVD","target":"record","payload":{"canonical_record":{"source":{"id":"1312.1261","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-12-04T17:54:45Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"0f17f7e778ecb978a0fab0678fc0a8f53dbc2af17e3cd2c10104272b309e4f42","abstract_canon_sha256":"d7344f3bb66163647af2b8a146fa25bc4ad780b833774ca939baff99bd929676"},"schema_version":"1.0"},"canonical_sha256":"8094be6f55223665e02b1e20f142d7a8e618d9fa4e866783c448c61d1e12ff96","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:10.759453Z","signature_b64":"sl5OZMmiM7rBzIexHV01KrRntIdAM0f22Z/llP3phkPrg4pbOf9E5Tw04z9mi7GU0AJb12+s9BEo4Uq97Sa4Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8094be6f55223665e02b1e20f142d7a8e618d9fa4e866783c448c61d1e12ff96","last_reissued_at":"2026-05-18T00:34:10.758768Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:10.758768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.1261","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:34:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FGqgZyW7QO3XxuVLzA4QZ6A+OGc4jwqhomf46RI/VCwrFzV1/6T+Tgs+/1yblz0JSxdkPyn5KEmcgJnDDsjYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T00:33:24.742128Z"},"content_sha256":"b2b061dd476c8f2ff2a2f2e4bc0f8a0c5c13812d7d84ceb46ee7c634609dc766","schema_version":"1.0","event_id":"sha256:b2b061dd476c8f2ff2a2f2e4bc0f8a0c5c13812d7d84ceb46ee7c634609dc766"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:QCKL432VEI3GLYBLDYQPCQWXVD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Decision problems, complexity, traces, and representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.GR","authors_text":"D. B. McReynolds, Larsen Louder, Sean Lawton","submitted_at":"2013-12-04T17:54:45Z","abstract_excerpt":"In this article, we study connections between representation theory and efficient solutions to the conjugacy problem on finitely generated groups. The main focus is on the conjugacy problem in conjugacy separable groups, where we measure efficiency in terms of the size of the quotients required to distinguish a distinct pair of conjugacy classes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1261","kind":"arxiv","version":3},"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":"2026-05-18T00:34:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"43PwNjImSYomLsEG/N9W73DG9gZdSrPkHRREchJykDjYGiXm5G05Ef5NPgQul2rumZY8Y2h9AWfkEdfRTmBRCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T00:33:24.742572Z"},"content_sha256":"8574a809484378e515d58989c6c93fd6c3e8d2f25144e0c5dac978c67ea0b5c1","schema_version":"1.0","event_id":"sha256:8574a809484378e515d58989c6c93fd6c3e8d2f25144e0c5dac978c67ea0b5c1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QCKL432VEI3GLYBLDYQPCQWXVD/bundle.json","state_url":"https://pith.science/pith/QCKL432VEI3GLYBLDYQPCQWXVD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QCKL432VEI3GLYBLDYQPCQWXVD/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":"2026-06-01T00:33:24Z","links":{"resolver":"https://pith.science/pith/QCKL432VEI3GLYBLDYQPCQWXVD","bundle":"https://pith.science/pith/QCKL432VEI3GLYBLDYQPCQWXVD/bundle.json","state":"https://pith.science/pith/QCKL432VEI3GLYBLDYQPCQWXVD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QCKL432VEI3GLYBLDYQPCQWXVD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QCKL432VEI3GLYBLDYQPCQWXVD","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":"d7344f3bb66163647af2b8a146fa25bc4ad780b833774ca939baff99bd929676","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-12-04T17:54:45Z","title_canon_sha256":"0f17f7e778ecb978a0fab0678fc0a8f53dbc2af17e3cd2c10104272b309e4f42"},"schema_version":"1.0","source":{"id":"1312.1261","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.1261","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"arxiv_version","alias_value":"1312.1261v3","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1261","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"pith_short_12","alias_value":"QCKL432VEI3G","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QCKL432VEI3GLYBL","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QCKL432V","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:8574a809484378e515d58989c6c93fd6c3e8d2f25144e0c5dac978c67ea0b5c1","target":"graph","created_at":"2026-05-18T00:34:10Z","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":"In this article, we study connections between representation theory and efficient solutions to the conjugacy problem on finitely generated groups. The main focus is on the conjugacy problem in conjugacy separable groups, where we measure efficiency in terms of the size of the quotients required to distinguish a distinct pair of conjugacy classes.","authors_text":"D. B. McReynolds, Larsen Louder, Sean Lawton","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-12-04T17:54:45Z","title":"Decision problems, complexity, traces, and representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1261","kind":"arxiv","version":3},"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:b2b061dd476c8f2ff2a2f2e4bc0f8a0c5c13812d7d84ceb46ee7c634609dc766","target":"record","created_at":"2026-05-18T00:34:10Z","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":"d7344f3bb66163647af2b8a146fa25bc4ad780b833774ca939baff99bd929676","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-12-04T17:54:45Z","title_canon_sha256":"0f17f7e778ecb978a0fab0678fc0a8f53dbc2af17e3cd2c10104272b309e4f42"},"schema_version":"1.0","source":{"id":"1312.1261","kind":"arxiv","version":3}},"canonical_sha256":"8094be6f55223665e02b1e20f142d7a8e618d9fa4e866783c448c61d1e12ff96","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8094be6f55223665e02b1e20f142d7a8e618d9fa4e866783c448c61d1e12ff96","first_computed_at":"2026-05-18T00:34:10.758768Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:10.758768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sl5OZMmiM7rBzIexHV01KrRntIdAM0f22Z/llP3phkPrg4pbOf9E5Tw04z9mi7GU0AJb12+s9BEo4Uq97Sa4Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:10.759453Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.1261","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2b061dd476c8f2ff2a2f2e4bc0f8a0c5c13812d7d84ceb46ee7c634609dc766","sha256:8574a809484378e515d58989c6c93fd6c3e8d2f25144e0c5dac978c67ea0b5c1"],"state_sha256":"abb12432291e62fe8484e343942511b674e7b5bfad0be4416a6cf6463a97383e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i/qKLa/5jtwrmfIKE3wsJ0B0hr6InZwgSRgV0v/l2nJAkUdCx/CWEl8u7RSoz3/yKFwiEPfe7nhoH4deRTAXBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T00:33:24.746039Z","bundle_sha256":"990e03454a9bf4aa5872c064b40eb5f916ca90d763c91e728ad863ac3900f5ce"}}