{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DBKVQAH4J2EWNDZUGY26SSL3OR","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":"a6e5c49e2d17462c03cacfbfa4f0b78e18babdec30a6697a8b33c4668086a01d","cross_cats_sorted":["nlin.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2014-10-07T19:54:18Z","title_canon_sha256":"1b3c1bd455b257423241cfa7040c9ddf0eb18d86f7ef5f2085122a0491fb73be"},"schema_version":"1.0","source":{"id":"1410.1864","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.1864","created_at":"2026-05-18T02:40:54Z"},{"alias_kind":"arxiv_version","alias_value":"1410.1864v1","created_at":"2026-05-18T02:40:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.1864","created_at":"2026-05-18T02:40:54Z"},{"alias_kind":"pith_short_12","alias_value":"DBKVQAH4J2EW","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DBKVQAH4J2EWNDZU","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DBKVQAH4","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:5fb172987c89620f565b66bdd9758fffd66753d3f691c5bfabc906c1b0c33a6d","target":"graph","created_at":"2026-05-18T02:40:54Z","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":"In this paper, we construct a cellular automaton on the heptagrid which is planar, weakly universal and which have three states only. This result improves the best result which was with four states.","authors_text":"Maurice Margenstern","cross_cats":["nlin.CG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2014-10-07T19:54:18Z","title":"A weakly universal cellular automaton in the heptagrid with three states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.1864","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:fab1ee65591b1df7902cda81c9ea394530f92bcae0d7b6727bbd6351b19e5655","target":"record","created_at":"2026-05-18T02:40:54Z","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":"a6e5c49e2d17462c03cacfbfa4f0b78e18babdec30a6697a8b33c4668086a01d","cross_cats_sorted":["nlin.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2014-10-07T19:54:18Z","title_canon_sha256":"1b3c1bd455b257423241cfa7040c9ddf0eb18d86f7ef5f2085122a0491fb73be"},"schema_version":"1.0","source":{"id":"1410.1864","kind":"arxiv","version":1}},"canonical_sha256":"18555800fc4e89668f343635e9497b744892545d2c7c6aebfd5ba3f7ac848c5f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18555800fc4e89668f343635e9497b744892545d2c7c6aebfd5ba3f7ac848c5f","first_computed_at":"2026-05-18T02:40:54.587273Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:54.587273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wK8Qu3PkOvyNR3dJc2j+qGlPypHnsCVlFKz8+CnoVSePDBVj4HpSFdGydA6eFUv6OmENfT6pNwrvjKoEuC70CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:54.587768Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.1864","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fab1ee65591b1df7902cda81c9ea394530f92bcae0d7b6727bbd6351b19e5655","sha256:5fb172987c89620f565b66bdd9758fffd66753d3f691c5bfabc906c1b0c33a6d"],"state_sha256":"89d1fbcc843c2f6cc9c06cc909f456fb8ba8ae2a987f9b8b05cf8882c6506632"}