{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:F67JOBKQK7Q73E44X5LPLWSPE2","short_pith_number":"pith:F67JOBKQ","canonical_record":{"source":{"id":"0908.0853","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2009-08-06T12:42:05Z","cross_cats_sorted":[],"title_canon_sha256":"494c391d93a6cd58c6d9680af52a4302397a4e4c74da11e35fc6c37d490224ee","abstract_canon_sha256":"e87297fed3c41fe808eb6cb03b4d9710e94444f79476156b40be7d81a6389083"},"schema_version":"1.0"},"canonical_sha256":"2fbe97055057e1fd939cbf56f5da4f26956cbadc97373af497aac90391aa2f2d","source":{"kind":"arxiv","id":"0908.0853","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.0853","created_at":"2026-05-18T04:35:05Z"},{"alias_kind":"arxiv_version","alias_value":"0908.0853v1","created_at":"2026-05-18T04:35:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.0853","created_at":"2026-05-18T04:35:05Z"},{"alias_kind":"pith_short_12","alias_value":"F67JOBKQK7Q7","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"F67JOBKQK7Q73E44","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"F67JOBKQ","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:F67JOBKQK7Q73E44X5LPLWSPE2","target":"record","payload":{"canonical_record":{"source":{"id":"0908.0853","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2009-08-06T12:42:05Z","cross_cats_sorted":[],"title_canon_sha256":"494c391d93a6cd58c6d9680af52a4302397a4e4c74da11e35fc6c37d490224ee","abstract_canon_sha256":"e87297fed3c41fe808eb6cb03b4d9710e94444f79476156b40be7d81a6389083"},"schema_version":"1.0"},"canonical_sha256":"2fbe97055057e1fd939cbf56f5da4f26956cbadc97373af497aac90391aa2f2d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:05.307580Z","signature_b64":"9kKpGa8/ZLqS0+RdZJUHP+HB8GK2CzUdo8qIQSm5kQB7e6cRfuAySx+NcqsBMtqIDA2hg4OsldalynYyuNIdDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2fbe97055057e1fd939cbf56f5da4f26956cbadc97373af497aac90391aa2f2d","last_reissued_at":"2026-05-18T04:35:05.307136Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:05.307136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0908.0853","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":"2026-05-18T04:35:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y2f0smcF5FG5+RPyC/iquxTrRLSFik7A1csuLDhRdKOYsilOCGpX3tjHFY6VZw11BerzFEZ4k74NKb5iNI+CBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:18:00.048156Z"},"content_sha256":"ea88da43536b84d03b41565f901dfa1b6812cd0165cdad891d3e6697bf9d133e","schema_version":"1.0","event_id":"sha256:ea88da43536b84d03b41565f901dfa1b6812cd0165cdad891d3e6697bf9d133e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:F67JOBKQK7Q73E44X5LPLWSPE2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Operating binary strings using gliders and eaters in reaction-diffusion cellular automaton","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.FL","authors_text":"Andrew Adamatzky, Andrew Wuensche, Genaro Martinez, Liang Zhang","submitted_at":"2009-08-06T12:42:05Z","abstract_excerpt":"We study transformations of 2-, 4- and 6-bit numbers in interactions between traveling and stationary localizations in the Spiral Rule reaction-diffusion cellular automaton. The Spiral Rule automaton is a hexagonal ternary-state two-dimensional cellular automaton -- a finite-state machine imitation of an activator-inhibitor reaction-diffusion system. The activator is self-inhibited in certain concentrations. The inhibitor dissociates in the absence of the activator. The Spiral Rule cellular automaton has rich spatio-temporal dynamics of traveling (glider) and stationary (eater) patterns. When "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.0853","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":"2026-05-18T04:35:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZukS1OO9qBxcNa5HO/d0rfZEcu7UUAFux5Jf/maYHrHpdf2ESPGlwfYauz9Lww3MjSEn3ytQKMUdAOShnHuTAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:18:00.048840Z"},"content_sha256":"1230a431a5391844a24c3749f0dd7e2e14d65c70361bd1704b2abe9d8c535674","schema_version":"1.0","event_id":"sha256:1230a431a5391844a24c3749f0dd7e2e14d65c70361bd1704b2abe9d8c535674"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F67JOBKQK7Q73E44X5LPLWSPE2/bundle.json","state_url":"https://pith.science/pith/F67JOBKQK7Q73E44X5LPLWSPE2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F67JOBKQK7Q73E44X5LPLWSPE2/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":"2026-05-27T19:18:00Z","links":{"resolver":"https://pith.science/pith/F67JOBKQK7Q73E44X5LPLWSPE2","bundle":"https://pith.science/pith/F67JOBKQK7Q73E44X5LPLWSPE2/bundle.json","state":"https://pith.science/pith/F67JOBKQK7Q73E44X5LPLWSPE2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F67JOBKQK7Q73E44X5LPLWSPE2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:F67JOBKQK7Q73E44X5LPLWSPE2","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":"e87297fed3c41fe808eb6cb03b4d9710e94444f79476156b40be7d81a6389083","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2009-08-06T12:42:05Z","title_canon_sha256":"494c391d93a6cd58c6d9680af52a4302397a4e4c74da11e35fc6c37d490224ee"},"schema_version":"1.0","source":{"id":"0908.0853","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.0853","created_at":"2026-05-18T04:35:05Z"},{"alias_kind":"arxiv_version","alias_value":"0908.0853v1","created_at":"2026-05-18T04:35:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.0853","created_at":"2026-05-18T04:35:05Z"},{"alias_kind":"pith_short_12","alias_value":"F67JOBKQK7Q7","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"F67JOBKQK7Q73E44","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"F67JOBKQ","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:1230a431a5391844a24c3749f0dd7e2e14d65c70361bd1704b2abe9d8c535674","target":"graph","created_at":"2026-05-18T04:35:05Z","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 transformations of 2-, 4- and 6-bit numbers in interactions between traveling and stationary localizations in the Spiral Rule reaction-diffusion cellular automaton. The Spiral Rule automaton is a hexagonal ternary-state two-dimensional cellular automaton -- a finite-state machine imitation of an activator-inhibitor reaction-diffusion system. The activator is self-inhibited in certain concentrations. The inhibitor dissociates in the absence of the activator. The Spiral Rule cellular automaton has rich spatio-temporal dynamics of traveling (glider) and stationary (eater) patterns. When ","authors_text":"Andrew Adamatzky, Andrew Wuensche, Genaro Martinez, Liang Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2009-08-06T12:42:05Z","title":"Operating binary strings using gliders and eaters in reaction-diffusion cellular automaton"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.0853","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:ea88da43536b84d03b41565f901dfa1b6812cd0165cdad891d3e6697bf9d133e","target":"record","created_at":"2026-05-18T04:35:05Z","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":"e87297fed3c41fe808eb6cb03b4d9710e94444f79476156b40be7d81a6389083","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2009-08-06T12:42:05Z","title_canon_sha256":"494c391d93a6cd58c6d9680af52a4302397a4e4c74da11e35fc6c37d490224ee"},"schema_version":"1.0","source":{"id":"0908.0853","kind":"arxiv","version":1}},"canonical_sha256":"2fbe97055057e1fd939cbf56f5da4f26956cbadc97373af497aac90391aa2f2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2fbe97055057e1fd939cbf56f5da4f26956cbadc97373af497aac90391aa2f2d","first_computed_at":"2026-05-18T04:35:05.307136Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:05.307136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9kKpGa8/ZLqS0+RdZJUHP+HB8GK2CzUdo8qIQSm5kQB7e6cRfuAySx+NcqsBMtqIDA2hg4OsldalynYyuNIdDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:05.307580Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.0853","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea88da43536b84d03b41565f901dfa1b6812cd0165cdad891d3e6697bf9d133e","sha256:1230a431a5391844a24c3749f0dd7e2e14d65c70361bd1704b2abe9d8c535674"],"state_sha256":"253437712c7647591b50b866dadf3bd7caf7ced212178ae64372a3e0928a5b0e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aeaB/Xxq46N2O5qmgbHgy2fsX3FRwLdbeEcFs9rYQCxSSQsBpOqjXRnMMwkMDCsvBXmZoJBpx2uqqZwBk7faAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T19:18:00.052165Z","bundle_sha256":"99b8dc5fc0a9fa429951f0862fd3ed10f00cd5583a7ba020a1df7fa964de9581"}}