{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7QH5QARLKXFCW2HDDOMRNL65WR","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":"0e42dc2d96a4eda0a6a6046c75a1949f3c939af691cfaf76be3445b7eeb13c89","cross_cats_sorted":["math.FA","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-02-24T23:08:14Z","title_canon_sha256":"938e28f5fa7b8b80dee9323e8ea61331ccf356c9efc8b394b3f81b9af9256186"},"schema_version":"1.0","source":{"id":"1302.5965","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.5965","created_at":"2026-05-18T02:17:01Z"},{"alias_kind":"arxiv_version","alias_value":"1302.5965v3","created_at":"2026-05-18T02:17:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5965","created_at":"2026-05-18T02:17:01Z"},{"alias_kind":"pith_short_12","alias_value":"7QH5QARLKXFC","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7QH5QARLKXFCW2HD","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7QH5QARL","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:f78b2ec6cc41ee5d8743be70cd28093ac789d31c02daedb3246d47274a89ebdf","target":"graph","created_at":"2026-05-18T02:17:01Z","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":"Let $S$ be a cancellative left-amenable semigroup and let $A$ be a finite set. We prove that every pre-injective cellular automaton $\\tau \\colon A^S \\to A^S$ is surjective.","authors_text":"Michel Coornaert, Tullio Ceccherini-Silberstein","cross_cats":["math.FA","math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-02-24T23:08:14Z","title":"The Myhill property for cellular automata on amenable semigroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5965","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":"sha256:21db6db1f6e7f9f9583e8b4434c2be2c4226440f76acc921f59ed04decd4734b","target":"record","created_at":"2026-05-18T02:17:01Z","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":"0e42dc2d96a4eda0a6a6046c75a1949f3c939af691cfaf76be3445b7eeb13c89","cross_cats_sorted":["math.FA","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-02-24T23:08:14Z","title_canon_sha256":"938e28f5fa7b8b80dee9323e8ea61331ccf356c9efc8b394b3f81b9af9256186"},"schema_version":"1.0","source":{"id":"1302.5965","kind":"arxiv","version":3}},"canonical_sha256":"fc0fd8022b55ca2b68e31b9916afddb45024075ccf13ade67a471b52920c5e8f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc0fd8022b55ca2b68e31b9916afddb45024075ccf13ade67a471b52920c5e8f","first_computed_at":"2026-05-18T02:17:01.614636Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:01.614636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LX8QHrB0nWcdits6nJ81LV9lMg1ALYRH028vFbmCHcEhPYr9kYdsl2BD4j75c6AxjJAyeZSYryc1Na1zs9bICg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:01.615259Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.5965","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21db6db1f6e7f9f9583e8b4434c2be2c4226440f76acc921f59ed04decd4734b","sha256:f78b2ec6cc41ee5d8743be70cd28093ac789d31c02daedb3246d47274a89ebdf"],"state_sha256":"1d5421e3fc524a1597f9d28911cb04a4cfb84960d71f727eef8063a73a2ece23"}