{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:DLMTR7X4FTII2BXMBMJ6YSF5XW","short_pith_number":"pith:DLMTR7X4","canonical_record":{"source":{"id":"1307.4910","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2013-07-18T11:36:52Z","cross_cats_sorted":["cs.FL","math.DS"],"title_canon_sha256":"d3769b065cbcc2c85ba34f9513faaeaf33276c44caa7a2d34c0ea886a6e269d6","abstract_canon_sha256":"2e232b03f19b2653a805315988a6d916037266c0b8da9401c0775c96665e592c"},"schema_version":"1.0"},"canonical_sha256":"1ad938fefc2cd08d06ec0b13ec48bdbda68040d4ed2897e1ccfaf954cf0e5ef9","source":{"kind":"arxiv","id":"1307.4910","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4910","created_at":"2026-05-18T03:18:07Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4910v1","created_at":"2026-05-18T03:18:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4910","created_at":"2026-05-18T03:18:07Z"},{"alias_kind":"pith_short_12","alias_value":"DLMTR7X4FTII","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DLMTR7X4FTII2BXM","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DLMTR7X4","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:DLMTR7X4FTII2BXMBMJ6YSF5XW","target":"record","payload":{"canonical_record":{"source":{"id":"1307.4910","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2013-07-18T11:36:52Z","cross_cats_sorted":["cs.FL","math.DS"],"title_canon_sha256":"d3769b065cbcc2c85ba34f9513faaeaf33276c44caa7a2d34c0ea886a6e269d6","abstract_canon_sha256":"2e232b03f19b2653a805315988a6d916037266c0b8da9401c0775c96665e592c"},"schema_version":"1.0"},"canonical_sha256":"1ad938fefc2cd08d06ec0b13ec48bdbda68040d4ed2897e1ccfaf954cf0e5ef9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:07.246646Z","signature_b64":"Nnj5RRi+rUPNNg4OKRf4Ox7RHn3v7AqVmPOjs5zbh5UGCeqCyTmMcJ5ijsPWkhsktb7ZSR56l6+7OWoBRp2rDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ad938fefc2cd08d06ec0b13ec48bdbda68040d4ed2897e1ccfaf954cf0e5ef9","last_reissued_at":"2026-05-18T03:18:07.246084Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:07.246084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.4910","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":"2026-05-18T03:18:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aDX15CWV8wUPj0DN3YjVS70umBm/78emqH1Oy8XHOxeiXHqp8uVQTBmAAY5wmD71E02UsHEvZ4Sgh+gnzgP9Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T03:17:48.614754Z"},"content_sha256":"28702f037faa6f9121e8bae03af3465d6c29bf20d47d178a104d15089f576cbc","schema_version":"1.0","event_id":"sha256:28702f037faa6f9121e8bae03af3465d6c29bf20d47d178a104d15089f576cbc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:DLMTR7X4FTII2BXMBMJ6YSF5XW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hard Asymptotic Sets for One-Dimensional Cellular Automata","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.FL","math.DS"],"primary_cat":"cs.CC","authors_text":"Ville Salo","submitted_at":"2013-07-18T11:36:52Z","abstract_excerpt":"We prove that the (language of the) asymptotic set (and the nonwandering set) of a one-dimensional cellular automaton can be $\\SIGMA^1_1$-hard. We do not go into much detail, since the constructions are relatively standard."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4910","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":"2026-05-18T03:18:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0OpJQbltIyYyBNfTv5S0fdZWTwtpQVDT9vkLfbH9rjXwNmkzzB+tT+5me8GwYkaZx4tERrax0VtoCS60qgyGBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T03:17:48.615473Z"},"content_sha256":"3d2a1e0d022d39c2a3254b36e528e4774528db0b4f26fb564906a704adb808b3","schema_version":"1.0","event_id":"sha256:3d2a1e0d022d39c2a3254b36e528e4774528db0b4f26fb564906a704adb808b3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DLMTR7X4FTII2BXMBMJ6YSF5XW/bundle.json","state_url":"https://pith.science/pith/DLMTR7X4FTII2BXMBMJ6YSF5XW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DLMTR7X4FTII2BXMBMJ6YSF5XW/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":"2026-06-09T03:17:48Z","links":{"resolver":"https://pith.science/pith/DLMTR7X4FTII2BXMBMJ6YSF5XW","bundle":"https://pith.science/pith/DLMTR7X4FTII2BXMBMJ6YSF5XW/bundle.json","state":"https://pith.science/pith/DLMTR7X4FTII2BXMBMJ6YSF5XW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DLMTR7X4FTII2BXMBMJ6YSF5XW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DLMTR7X4FTII2BXMBMJ6YSF5XW","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":"2e232b03f19b2653a805315988a6d916037266c0b8da9401c0775c96665e592c","cross_cats_sorted":["cs.FL","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2013-07-18T11:36:52Z","title_canon_sha256":"d3769b065cbcc2c85ba34f9513faaeaf33276c44caa7a2d34c0ea886a6e269d6"},"schema_version":"1.0","source":{"id":"1307.4910","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4910","created_at":"2026-05-18T03:18:07Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4910v1","created_at":"2026-05-18T03:18:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4910","created_at":"2026-05-18T03:18:07Z"},{"alias_kind":"pith_short_12","alias_value":"DLMTR7X4FTII","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DLMTR7X4FTII2BXM","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DLMTR7X4","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:3d2a1e0d022d39c2a3254b36e528e4774528db0b4f26fb564906a704adb808b3","target":"graph","created_at":"2026-05-18T03:18:07Z","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 (language of the) asymptotic set (and the nonwandering set) of a one-dimensional cellular automaton can be $\\SIGMA^1_1$-hard. We do not go into much detail, since the constructions are relatively standard.","authors_text":"Ville Salo","cross_cats":["cs.FL","math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2013-07-18T11:36:52Z","title":"Hard Asymptotic Sets for One-Dimensional Cellular Automata"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4910","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":"sha256:28702f037faa6f9121e8bae03af3465d6c29bf20d47d178a104d15089f576cbc","target":"record","created_at":"2026-05-18T03:18:07Z","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":"2e232b03f19b2653a805315988a6d916037266c0b8da9401c0775c96665e592c","cross_cats_sorted":["cs.FL","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2013-07-18T11:36:52Z","title_canon_sha256":"d3769b065cbcc2c85ba34f9513faaeaf33276c44caa7a2d34c0ea886a6e269d6"},"schema_version":"1.0","source":{"id":"1307.4910","kind":"arxiv","version":1}},"canonical_sha256":"1ad938fefc2cd08d06ec0b13ec48bdbda68040d4ed2897e1ccfaf954cf0e5ef9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ad938fefc2cd08d06ec0b13ec48bdbda68040d4ed2897e1ccfaf954cf0e5ef9","first_computed_at":"2026-05-18T03:18:07.246084Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:07.246084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nnj5RRi+rUPNNg4OKRf4Ox7RHn3v7AqVmPOjs5zbh5UGCeqCyTmMcJ5ijsPWkhsktb7ZSR56l6+7OWoBRp2rDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:07.246646Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.4910","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28702f037faa6f9121e8bae03af3465d6c29bf20d47d178a104d15089f576cbc","sha256:3d2a1e0d022d39c2a3254b36e528e4774528db0b4f26fb564906a704adb808b3"],"state_sha256":"578e209e593a4ca1c4c88a2fe0c713aafca2d81cd38bed2ea5d22122a1c9a712"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"83sCypYHmmoEu7u5hSax95qv2HCtLtMJdunXIcLxQ8CGyxP3Q2aiYaKyLyWt/Df4yCeSXbNhx0d1kl+7ttcuDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T03:17:48.619547Z","bundle_sha256":"69d4df4af4c840c683d9cb529141af059d3a88d74ace74d1812a61a1b0d77043"}}