{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:DQHHXTSSOH53DHNYANQ7GVD5XP","short_pith_number":"pith:DQHHXTSS","canonical_record":{"source":{"id":"1610.00331","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2016-10-02T18:33:53Z","cross_cats_sorted":[],"title_canon_sha256":"103a19cfda701da0393fb6b5c7c5264862e9682dc2fa2dd2fdd671a560ed425c","abstract_canon_sha256":"385405e22772431df9d901e09e35206555d9f7aea58573f88ee28c614091f989"},"schema_version":"1.0"},"canonical_sha256":"1c0e7bce5271fbb19db80361f3547dbbc07f12adaecc32c8b2f16c59b0bfe8ff","source":{"kind":"arxiv","id":"1610.00331","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.00331","created_at":"2026-05-18T01:03:25Z"},{"alias_kind":"arxiv_version","alias_value":"1610.00331v1","created_at":"2026-05-18T01:03:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.00331","created_at":"2026-05-18T01:03:25Z"},{"alias_kind":"pith_short_12","alias_value":"DQHHXTSSOH53","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DQHHXTSSOH53DHNY","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DQHHXTSS","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:DQHHXTSSOH53DHNYANQ7GVD5XP","target":"record","payload":{"canonical_record":{"source":{"id":"1610.00331","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2016-10-02T18:33:53Z","cross_cats_sorted":[],"title_canon_sha256":"103a19cfda701da0393fb6b5c7c5264862e9682dc2fa2dd2fdd671a560ed425c","abstract_canon_sha256":"385405e22772431df9d901e09e35206555d9f7aea58573f88ee28c614091f989"},"schema_version":"1.0"},"canonical_sha256":"1c0e7bce5271fbb19db80361f3547dbbc07f12adaecc32c8b2f16c59b0bfe8ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:25.723771Z","signature_b64":"0Hkmw6k44cQYfRbUVm9aBvlb2tIGctQjpUTeDv9VL4FFM0T4F96CnHv4abP8dIWaNp/a3CqlQpnWcPiOtHnkBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c0e7bce5271fbb19db80361f3547dbbc07f12adaecc32c8b2f16c59b0bfe8ff","last_reissued_at":"2026-05-18T01:03:25.723193Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:25.723193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.00331","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:03:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g3aO0FJcU3PPCAb5aDtEfFd/1OCCo3K2AXEq7X3lIbAqRlFHhVscX75Y4TF9zNjZBnhkotHON4AwQG/geZIkBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T09:33:48.330701Z"},"content_sha256":"70b885271cec5a16620d43f25503cc3444aa34ce2576d1ee6478058fac4baedf","schema_version":"1.0","event_id":"sha256:70b885271cec5a16620d43f25503cc3444aa34ce2576d1ee6478058fac4baedf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:DQHHXTSSOH53DHNYANQ7GVD5XP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comparing 1D and 2D Real Time on Cellular Automata","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.FL","authors_text":"Ana\\\"el Grandjean, Victor Poupet","submitted_at":"2016-10-02T18:33:53Z","abstract_excerpt":"We study the influence of the dimension of cellular automata (CA) for real time language recognition of one-dimensional languages with parallel input. Specifically, we focus on the question of determining whether every language that can be recognized in real time on a 2-dimensional CA working on the Moore neighborhood can also be recognized in real time by a 1-dimensional CA working on the standard two-way neighborhood.\n  We show that 2-dimensional CA in real time can perform a linear number of simulations of a 1-dimensional real time CA. If the two classes are equal then the number of simulat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.00331","kind":"arxiv","version":1},"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":"2026-05-18T01:03:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PXYLv2dE9P8P+37+YRziHR7kaMfkvwM1DhsHovSbH5pdgnCFNqvZf0qT85vcE3tSjIXW66DFUwIAZOYaqpOwCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T09:33:48.331041Z"},"content_sha256":"5e0d209f3ce22de397618eac9c01ed903c09f821cae1b91da5540bac251a9827","schema_version":"1.0","event_id":"sha256:5e0d209f3ce22de397618eac9c01ed903c09f821cae1b91da5540bac251a9827"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DQHHXTSSOH53DHNYANQ7GVD5XP/bundle.json","state_url":"https://pith.science/pith/DQHHXTSSOH53DHNYANQ7GVD5XP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DQHHXTSSOH53DHNYANQ7GVD5XP/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":"2026-06-24T09:33:48Z","links":{"resolver":"https://pith.science/pith/DQHHXTSSOH53DHNYANQ7GVD5XP","bundle":"https://pith.science/pith/DQHHXTSSOH53DHNYANQ7GVD5XP/bundle.json","state":"https://pith.science/pith/DQHHXTSSOH53DHNYANQ7GVD5XP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DQHHXTSSOH53DHNYANQ7GVD5XP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DQHHXTSSOH53DHNYANQ7GVD5XP","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":"385405e22772431df9d901e09e35206555d9f7aea58573f88ee28c614091f989","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2016-10-02T18:33:53Z","title_canon_sha256":"103a19cfda701da0393fb6b5c7c5264862e9682dc2fa2dd2fdd671a560ed425c"},"schema_version":"1.0","source":{"id":"1610.00331","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.00331","created_at":"2026-05-18T01:03:25Z"},{"alias_kind":"arxiv_version","alias_value":"1610.00331v1","created_at":"2026-05-18T01:03:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.00331","created_at":"2026-05-18T01:03:25Z"},{"alias_kind":"pith_short_12","alias_value":"DQHHXTSSOH53","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DQHHXTSSOH53DHNY","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DQHHXTSS","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:5e0d209f3ce22de397618eac9c01ed903c09f821cae1b91da5540bac251a9827","target":"graph","created_at":"2026-05-18T01:03:25Z","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 study the influence of the dimension of cellular automata (CA) for real time language recognition of one-dimensional languages with parallel input. Specifically, we focus on the question of determining whether every language that can be recognized in real time on a 2-dimensional CA working on the Moore neighborhood can also be recognized in real time by a 1-dimensional CA working on the standard two-way neighborhood.\n  We show that 2-dimensional CA in real time can perform a linear number of simulations of a 1-dimensional real time CA. If the two classes are equal then the number of simulat","authors_text":"Ana\\\"el Grandjean, Victor Poupet","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2016-10-02T18:33:53Z","title":"Comparing 1D and 2D Real Time on Cellular Automata"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.00331","kind":"arxiv","version":1},"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":"sha256:70b885271cec5a16620d43f25503cc3444aa34ce2576d1ee6478058fac4baedf","target":"record","created_at":"2026-05-18T01:03:25Z","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":"385405e22772431df9d901e09e35206555d9f7aea58573f88ee28c614091f989","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2016-10-02T18:33:53Z","title_canon_sha256":"103a19cfda701da0393fb6b5c7c5264862e9682dc2fa2dd2fdd671a560ed425c"},"schema_version":"1.0","source":{"id":"1610.00331","kind":"arxiv","version":1}},"canonical_sha256":"1c0e7bce5271fbb19db80361f3547dbbc07f12adaecc32c8b2f16c59b0bfe8ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c0e7bce5271fbb19db80361f3547dbbc07f12adaecc32c8b2f16c59b0bfe8ff","first_computed_at":"2026-05-18T01:03:25.723193Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:25.723193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0Hkmw6k44cQYfRbUVm9aBvlb2tIGctQjpUTeDv9VL4FFM0T4F96CnHv4abP8dIWaNp/a3CqlQpnWcPiOtHnkBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:25.723771Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.00331","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70b885271cec5a16620d43f25503cc3444aa34ce2576d1ee6478058fac4baedf","sha256:5e0d209f3ce22de397618eac9c01ed903c09f821cae1b91da5540bac251a9827"],"state_sha256":"d48ac1417572ea6d46ef9435c0839e1ec975bb3fcb0973ea3b7751b82c3b897c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2k3klJg5j9BvpjQDh82UuAIo+zVOQV83IcZML4uEl+/cDSuL9cjZo+N2ZD0WmP3Aaw6obgqhMQwAdUZX8da5AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T09:33:48.332936Z","bundle_sha256":"226c73dc643c5b9e8c25117e80b6e7b679b900859de308ebcc0e63e12f2e1ec7"}}