{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ORYLVN65IAMUWD6KJNEMEHTEGX","short_pith_number":"pith:ORYLVN65","canonical_record":{"source":{"id":"1710.10109","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-10-27T12:51:10Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"eb5986f8cc4c689d39127764150252018679ed15524c1e99b20b4a153403b8c6","abstract_canon_sha256":"d0c58cba5189e5f2f52f387aa8e2233d92a9abceaea7e94c4d15f6dc58b11c25"},"schema_version":"1.0"},"canonical_sha256":"7470bab7dd40194b0fca4b48c21e6435c80c1ea15306ee8a53af44d65061bdf5","source":{"kind":"arxiv","id":"1710.10109","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.10109","created_at":"2026-05-18T00:29:36Z"},{"alias_kind":"arxiv_version","alias_value":"1710.10109v4","created_at":"2026-05-18T00:29:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10109","created_at":"2026-05-18T00:29:36Z"},{"alias_kind":"pith_short_12","alias_value":"ORYLVN65IAMU","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"ORYLVN65IAMUWD6K","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"ORYLVN65","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ORYLVN65IAMUWD6KJNEMEHTEGX","target":"record","payload":{"canonical_record":{"source":{"id":"1710.10109","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-10-27T12:51:10Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"eb5986f8cc4c689d39127764150252018679ed15524c1e99b20b4a153403b8c6","abstract_canon_sha256":"d0c58cba5189e5f2f52f387aa8e2233d92a9abceaea7e94c4d15f6dc58b11c25"},"schema_version":"1.0"},"canonical_sha256":"7470bab7dd40194b0fca4b48c21e6435c80c1ea15306ee8a53af44d65061bdf5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:36.561303Z","signature_b64":"S8Pe1LDnWI+t6L4JXfzIgVBM4cnibIni5tZZigVE/QP0qkvJtnZy4SjvsKDrvMdo0enF5VwGofbkSbKQNjX3Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7470bab7dd40194b0fca4b48c21e6435c80c1ea15306ee8a53af44d65061bdf5","last_reissued_at":"2026-05-18T00:29:36.560661Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:36.560661Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.10109","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:29:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1QN4/qtq7AdvZt2GmTXYHWds7IEcyHtovGyh2yHSeT+oMD2t0HnkrcKK55oqvRY7DN9PH/AUNZo4j6JztowFDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:35:10.412132Z"},"content_sha256":"6a169233e03683544160bbf71359bae206d836a4591f44358b82016450393971","schema_version":"1.0","event_id":"sha256:6a169233e03683544160bbf71359bae206d836a4591f44358b82016450393971"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ORYLVN65IAMUWD6KJNEMEHTEGX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The word and order problems for self-similar and automata groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"math.GR","authors_text":"Ivan Mitrofanov, Laurent Bartholdi","submitted_at":"2017-10-27T12:51:10Z","abstract_excerpt":"We prove that the word problem is undecidable in functionally recursive groups, and that the order problem is undecidable in automata groups, even under the assumption that they are contracting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10109","kind":"arxiv","version":4},"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":"2026-05-18T00:29:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7FTuJHmLIBgGzcpAcISOWbS6wx4OsRLsyiuGtrbQGLWjxRu4gsKOWINiRxSdEO9dKTs8OLOAKUdOlpTlqiCtDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:35:10.412853Z"},"content_sha256":"a7be1f3316ab29cac9d42b1802c20a2cb340df9d82e8b223c0e5808c587ac866","schema_version":"1.0","event_id":"sha256:a7be1f3316ab29cac9d42b1802c20a2cb340df9d82e8b223c0e5808c587ac866"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ORYLVN65IAMUWD6KJNEMEHTEGX/bundle.json","state_url":"https://pith.science/pith/ORYLVN65IAMUWD6KJNEMEHTEGX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ORYLVN65IAMUWD6KJNEMEHTEGX/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":"2026-06-09T08:35:10Z","links":{"resolver":"https://pith.science/pith/ORYLVN65IAMUWD6KJNEMEHTEGX","bundle":"https://pith.science/pith/ORYLVN65IAMUWD6KJNEMEHTEGX/bundle.json","state":"https://pith.science/pith/ORYLVN65IAMUWD6KJNEMEHTEGX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ORYLVN65IAMUWD6KJNEMEHTEGX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ORYLVN65IAMUWD6KJNEMEHTEGX","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":"d0c58cba5189e5f2f52f387aa8e2233d92a9abceaea7e94c4d15f6dc58b11c25","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-10-27T12:51:10Z","title_canon_sha256":"eb5986f8cc4c689d39127764150252018679ed15524c1e99b20b4a153403b8c6"},"schema_version":"1.0","source":{"id":"1710.10109","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.10109","created_at":"2026-05-18T00:29:36Z"},{"alias_kind":"arxiv_version","alias_value":"1710.10109v4","created_at":"2026-05-18T00:29:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10109","created_at":"2026-05-18T00:29:36Z"},{"alias_kind":"pith_short_12","alias_value":"ORYLVN65IAMU","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"ORYLVN65IAMUWD6K","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"ORYLVN65","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:a7be1f3316ab29cac9d42b1802c20a2cb340df9d82e8b223c0e5808c587ac866","target":"graph","created_at":"2026-05-18T00:29:36Z","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 the word problem is undecidable in functionally recursive groups, and that the order problem is undecidable in automata groups, even under the assumption that they are contracting.","authors_text":"Ivan Mitrofanov, Laurent Bartholdi","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-10-27T12:51:10Z","title":"The word and order problems for self-similar and automata groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10109","kind":"arxiv","version":4},"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":"sha256:6a169233e03683544160bbf71359bae206d836a4591f44358b82016450393971","target":"record","created_at":"2026-05-18T00:29:36Z","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":"d0c58cba5189e5f2f52f387aa8e2233d92a9abceaea7e94c4d15f6dc58b11c25","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-10-27T12:51:10Z","title_canon_sha256":"eb5986f8cc4c689d39127764150252018679ed15524c1e99b20b4a153403b8c6"},"schema_version":"1.0","source":{"id":"1710.10109","kind":"arxiv","version":4}},"canonical_sha256":"7470bab7dd40194b0fca4b48c21e6435c80c1ea15306ee8a53af44d65061bdf5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7470bab7dd40194b0fca4b48c21e6435c80c1ea15306ee8a53af44d65061bdf5","first_computed_at":"2026-05-18T00:29:36.560661Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:36.560661Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S8Pe1LDnWI+t6L4JXfzIgVBM4cnibIni5tZZigVE/QP0qkvJtnZy4SjvsKDrvMdo0enF5VwGofbkSbKQNjX3Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:36.561303Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.10109","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a169233e03683544160bbf71359bae206d836a4591f44358b82016450393971","sha256:a7be1f3316ab29cac9d42b1802c20a2cb340df9d82e8b223c0e5808c587ac866"],"state_sha256":"535afc4f5309a15bae9fe9165552e03744783c96ee27d6a94c93a4198f7e24d7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c8uSCfuHbA/egFYZJ/kUOYMgvF2GW7ku75X9+T1/OHvdtZfVr7jjUXWWUn+yUaHRucXuRs4xF1cBTix5puKOCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T08:35:10.416744Z","bundle_sha256":"de8963e6624fa639f7188e9ebbd7b97a44c9e6391c5deacde7b9a67abce080d3"}}