{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:D6WNZRKS3MSINJX7XOC5Q7L5LG","short_pith_number":"pith:D6WNZRKS","canonical_record":{"source":{"id":"1809.08050","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-09-21T11:55:31Z","cross_cats_sorted":["cs.FL","math.CO"],"title_canon_sha256":"1b115a1398b4a2bf61a63349d06accf5963d47657b2e3ee268a6cd566d6816c6","abstract_canon_sha256":"1a87130c916ace3488f2ab69db89a53fedf5d18d234266e5c7a1f279a3efff48"},"schema_version":"1.0"},"canonical_sha256":"1facdcc552db2486a6ffbb85d87d7d5984dee0e3c92ab1369b08ace67810d365","source":{"kind":"arxiv","id":"1809.08050","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.08050","created_at":"2026-05-18T00:05:04Z"},{"alias_kind":"arxiv_version","alias_value":"1809.08050v2","created_at":"2026-05-18T00:05:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.08050","created_at":"2026-05-18T00:05:04Z"},{"alias_kind":"pith_short_12","alias_value":"D6WNZRKS3MSI","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"D6WNZRKS3MSINJX7","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"D6WNZRKS","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:D6WNZRKS3MSINJX7XOC5Q7L5LG","target":"record","payload":{"canonical_record":{"source":{"id":"1809.08050","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-09-21T11:55:31Z","cross_cats_sorted":["cs.FL","math.CO"],"title_canon_sha256":"1b115a1398b4a2bf61a63349d06accf5963d47657b2e3ee268a6cd566d6816c6","abstract_canon_sha256":"1a87130c916ace3488f2ab69db89a53fedf5d18d234266e5c7a1f279a3efff48"},"schema_version":"1.0"},"canonical_sha256":"1facdcc552db2486a6ffbb85d87d7d5984dee0e3c92ab1369b08ace67810d365","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:04.328586Z","signature_b64":"TAsoXi22ylSTlrbmNhDcXTLKpKxG5I5rKPgn21+XkNs2NF3TfC+emq9JAZgMLp3e9qtNL4QKwWJeL/iPR52xCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1facdcc552db2486a6ffbb85d87d7d5984dee0e3c92ab1369b08ace67810d365","last_reissued_at":"2026-05-18T00:05:04.328009Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:04.328009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.08050","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":"2026-05-18T00:05:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lKDR4tddp1WBCGQUi6Nr5obLCahjM5H0MRTx3K+bcCmSSjO6BuKyL860GoYfZ10fE3Jhd8jnYJ+q+QHk2KjmCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:56:07.352284Z"},"content_sha256":"8709c68d1df72f4390ae3f60e9ebdaf3ba7b4ae7775f2bb07ae28df7aaa2b44d","schema_version":"1.0","event_id":"sha256:8709c68d1df72f4390ae3f60e9ebdaf3ba7b4ae7775f2bb07ae28df7aaa2b44d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:D6WNZRKS3MSINJX7XOC5Q7L5LG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal gates with wires in a row","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.FL","math.CO"],"primary_cat":"math.GR","authors_text":"Ville Salo","submitted_at":"2018-09-21T11:55:31Z","abstract_excerpt":"We give some optimal size generating sets for the group generated by shifts and local permutations on the binary full shift. We show that a single generator, namely the fully asynchronous application of the elementary cellular automaton 57 (or, by symmetry, ECA 99), suffices in addition to the shift. In the terminology of logical gates, we have a single reversible gate whose shifts generate all (finitary) reversible gates on infinitely many binary-valued wires that lie in a row and cannot (a priori) be rearranged. We classify pairs of words $u, v$ such that the gate swapping these two words, t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.08050","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":"2026-05-18T00:05:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n5uLho6YaWy6Kqv6ZwWb2aQmvV0ebx++L9H4ckjCFbA8LpiHY+kMT0erCaUmGI7EuEaa9RrIK8Ix9O+xyzbDAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:56:07.352672Z"},"content_sha256":"74f4cf00d58ed1c44ca2ff0a6c95094b6855cf66a8bc97a9827d811ead174e9a","schema_version":"1.0","event_id":"sha256:74f4cf00d58ed1c44ca2ff0a6c95094b6855cf66a8bc97a9827d811ead174e9a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D6WNZRKS3MSINJX7XOC5Q7L5LG/bundle.json","state_url":"https://pith.science/pith/D6WNZRKS3MSINJX7XOC5Q7L5LG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D6WNZRKS3MSINJX7XOC5Q7L5LG/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":"2026-06-09T09:56:07Z","links":{"resolver":"https://pith.science/pith/D6WNZRKS3MSINJX7XOC5Q7L5LG","bundle":"https://pith.science/pith/D6WNZRKS3MSINJX7XOC5Q7L5LG/bundle.json","state":"https://pith.science/pith/D6WNZRKS3MSINJX7XOC5Q7L5LG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D6WNZRKS3MSINJX7XOC5Q7L5LG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:D6WNZRKS3MSINJX7XOC5Q7L5LG","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":"1a87130c916ace3488f2ab69db89a53fedf5d18d234266e5c7a1f279a3efff48","cross_cats_sorted":["cs.FL","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-09-21T11:55:31Z","title_canon_sha256":"1b115a1398b4a2bf61a63349d06accf5963d47657b2e3ee268a6cd566d6816c6"},"schema_version":"1.0","source":{"id":"1809.08050","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.08050","created_at":"2026-05-18T00:05:04Z"},{"alias_kind":"arxiv_version","alias_value":"1809.08050v2","created_at":"2026-05-18T00:05:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.08050","created_at":"2026-05-18T00:05:04Z"},{"alias_kind":"pith_short_12","alias_value":"D6WNZRKS3MSI","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"D6WNZRKS3MSINJX7","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"D6WNZRKS","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:74f4cf00d58ed1c44ca2ff0a6c95094b6855cf66a8bc97a9827d811ead174e9a","target":"graph","created_at":"2026-05-18T00:05:04Z","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 give some optimal size generating sets for the group generated by shifts and local permutations on the binary full shift. We show that a single generator, namely the fully asynchronous application of the elementary cellular automaton 57 (or, by symmetry, ECA 99), suffices in addition to the shift. In the terminology of logical gates, we have a single reversible gate whose shifts generate all (finitary) reversible gates on infinitely many binary-valued wires that lie in a row and cannot (a priori) be rearranged. We classify pairs of words $u, v$ such that the gate swapping these two words, t","authors_text":"Ville Salo","cross_cats":["cs.FL","math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-09-21T11:55:31Z","title":"Universal gates with wires in a row"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.08050","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":"sha256:8709c68d1df72f4390ae3f60e9ebdaf3ba7b4ae7775f2bb07ae28df7aaa2b44d","target":"record","created_at":"2026-05-18T00:05:04Z","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":"1a87130c916ace3488f2ab69db89a53fedf5d18d234266e5c7a1f279a3efff48","cross_cats_sorted":["cs.FL","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-09-21T11:55:31Z","title_canon_sha256":"1b115a1398b4a2bf61a63349d06accf5963d47657b2e3ee268a6cd566d6816c6"},"schema_version":"1.0","source":{"id":"1809.08050","kind":"arxiv","version":2}},"canonical_sha256":"1facdcc552db2486a6ffbb85d87d7d5984dee0e3c92ab1369b08ace67810d365","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1facdcc552db2486a6ffbb85d87d7d5984dee0e3c92ab1369b08ace67810d365","first_computed_at":"2026-05-18T00:05:04.328009Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:04.328009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TAsoXi22ylSTlrbmNhDcXTLKpKxG5I5rKPgn21+XkNs2NF3TfC+emq9JAZgMLp3e9qtNL4QKwWJeL/iPR52xCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:04.328586Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.08050","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8709c68d1df72f4390ae3f60e9ebdaf3ba7b4ae7775f2bb07ae28df7aaa2b44d","sha256:74f4cf00d58ed1c44ca2ff0a6c95094b6855cf66a8bc97a9827d811ead174e9a"],"state_sha256":"d39903db6f2be59bf7a8850a4aab31d3c106c6b53f79e11a78484cc658b54686"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8PcI2YGxPCfv9JeAwhTsjo3zHV3HR12CmY2gHvDdxkaItdCIJxM1DbEDTWSWnaQ2wWqv9QwffUMsFa0jkthgCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T09:56:07.354558Z","bundle_sha256":"a23fc5aac9272fb469529d5e2ad448a18a78333b689c0545ccf746da73007a22"}}