{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:B7RV7Z33FJHXWZQSOF5227SAXP","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":"9f0e538ea1524904bb3a10cd77380cd7ebb3580653d87dd4df71d7908bdffe13","cross_cats_sorted":["hep-th","nlin.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-03-20T17:55:59Z","title_canon_sha256":"5f71f6504d613a0e9ec58abd87ec97b8f1306e31446937ccc28c095a37ad2455"},"schema_version":"1.0","source":{"id":"2503.16593","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.16593","created_at":"2026-05-27T14:06:36Z"},{"alias_kind":"arxiv_version","alias_value":"2503.16593v3","created_at":"2026-05-27T14:06:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.16593","created_at":"2026-05-27T14:06:36Z"},{"alias_kind":"pith_short_12","alias_value":"B7RV7Z33FJHX","created_at":"2026-05-27T14:06:36Z"},{"alias_kind":"pith_short_16","alias_value":"B7RV7Z33FJHXWZQS","created_at":"2026-05-27T14:06:36Z"},{"alias_kind":"pith_short_8","alias_value":"B7RV7Z33","created_at":"2026-05-27T14:06:36Z"}],"graph_snapshots":[{"event_id":"sha256:dba8618ffa3f4d5aa15e6f2fc7db365e1e380441768578b441e2acd0741eba08","target":"graph","created_at":"2026-05-27T14:06:36Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2503.16593/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Classical cellular automata represent a class of explicit discrete spacetime lattice models in which complex large-scale phenomena emerge from simple deterministic rules. With the goal to uncover different physically distinct classes of ergodic behavior, we perform a systematic study of three-state cellular automata (with a stable `vacuum' state and `particles' with $\\pm$ charges). The classification is aided by the automata's different transformation properties under discrete symmetries: charge conjugation, spatial parity and time reversal. In particular, we propose a simple classification th","authors_text":"Matija Koterle, Rustem Sharipov, Sa\\v{s}o Grozdanov, Toma\\v{z} Prosen","cross_cats":["hep-th","nlin.CG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-03-20T17:55:59Z","title":"Ergodic behaviors in reversible 3-state cellular automata"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.16593","kind":"arxiv","version":3},"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":"sha256:91ff8151c801aec73369182fdb01bca67f3178b69f1fb6793e4a9bee18c01b44","target":"record","created_at":"2026-05-27T14:06:36Z","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":"9f0e538ea1524904bb3a10cd77380cd7ebb3580653d87dd4df71d7908bdffe13","cross_cats_sorted":["hep-th","nlin.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-03-20T17:55:59Z","title_canon_sha256":"5f71f6504d613a0e9ec58abd87ec97b8f1306e31446937ccc28c095a37ad2455"},"schema_version":"1.0","source":{"id":"2503.16593","kind":"arxiv","version":3}},"canonical_sha256":"0fe35fe77b2a4f7b6612717bad7e40bbd7db0dfd26d70faf51d8303a2ebd5de5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0fe35fe77b2a4f7b6612717bad7e40bbd7db0dfd26d70faf51d8303a2ebd5de5","first_computed_at":"2026-05-27T14:06:36.685208Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-27T14:06:36.685208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0TRvx7DPTbnIy8WzGI+hzzq9vgqKJD1lEmgoaoefUsLkrpMzYm+KrxoM2hK3x6umKuwNTfqh71+uPbzv2tO6DA==","signature_status":"signed_v1","signed_at":"2026-05-27T14:06:36.686193Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.16593","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91ff8151c801aec73369182fdb01bca67f3178b69f1fb6793e4a9bee18c01b44","sha256:dba8618ffa3f4d5aa15e6f2fc7db365e1e380441768578b441e2acd0741eba08"],"state_sha256":"56b121bcb1e37e5714cd35c49052781873f3866e1194bb3ab28aeaa3139ccb4b"}