{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:7EYBGWXX4JKL7YSBBVX5L6BYBA","short_pith_number":"pith:7EYBGWXX","schema_version":"1.0","canonical_sha256":"f930135af7e254bfe2410d6fd5f838080e7c586a0b8b00e7a09422e9947beaa9","source":{"kind":"arxiv","id":"1004.2422","version":2},"attestation_state":"computed","paper":{"title":"The Myhill property for strongly irreducible subshifts over amenable groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.DS","authors_text":"Michel Coornaert, Tullio Ceccherini-Silberstein","submitted_at":"2010-04-14T15:42:09Z","abstract_excerpt":"Let $G$ be an amenable group and let $A$ be a finite set. We prove that if $X \\subset A^G$ is a strongly irreducible subshift then $X$ has the Myhill property, that is, every pre-injective cellular automaton $\\tau \\colon X \\to X$ is surjective."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1004.2422","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-04-14T15:42:09Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"c106158fc891ace81ccd32ed1d4313d449292c521f3f7211452cfd8520e42fa2","abstract_canon_sha256":"f165889a22234370c13e8dfbba11717c1e38326c0bf061182b3583b53b006ac3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:32.647943Z","signature_b64":"10yA0VIIIGKzrmOjZ98WUeA43T7Wdj5MQJFBWIYhBvz9W4LbOrEOR4emkTVmXUFhZaA7rM+3kMte/6dP2x/iCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f930135af7e254bfe2410d6fd5f838080e7c586a0b8b00e7a09422e9947beaa9","last_reissued_at":"2026-05-18T04:03:32.647148Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:32.647148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Myhill property for strongly irreducible subshifts over amenable groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.DS","authors_text":"Michel Coornaert, Tullio Ceccherini-Silberstein","submitted_at":"2010-04-14T15:42:09Z","abstract_excerpt":"Let $G$ be an amenable group and let $A$ be a finite set. We prove that if $X \\subset A^G$ is a strongly irreducible subshift then $X$ has the Myhill property, that is, every pre-injective cellular automaton $\\tau \\colon X \\to X$ is surjective."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.2422","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1004.2422","created_at":"2026-05-18T04:03:32.647298+00:00"},{"alias_kind":"arxiv_version","alias_value":"1004.2422v2","created_at":"2026-05-18T04:03:32.647298+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.2422","created_at":"2026-05-18T04:03:32.647298+00:00"},{"alias_kind":"pith_short_12","alias_value":"7EYBGWXX4JKL","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"7EYBGWXX4JKL7YSB","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"7EYBGWXX","created_at":"2026-05-18T12:26:04.259169+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7EYBGWXX4JKL7YSBBVX5L6BYBA","json":"https://pith.science/pith/7EYBGWXX4JKL7YSBBVX5L6BYBA.json","graph_json":"https://pith.science/api/pith-number/7EYBGWXX4JKL7YSBBVX5L6BYBA/graph.json","events_json":"https://pith.science/api/pith-number/7EYBGWXX4JKL7YSBBVX5L6BYBA/events.json","paper":"https://pith.science/paper/7EYBGWXX"},"agent_actions":{"view_html":"https://pith.science/pith/7EYBGWXX4JKL7YSBBVX5L6BYBA","download_json":"https://pith.science/pith/7EYBGWXX4JKL7YSBBVX5L6BYBA.json","view_paper":"https://pith.science/paper/7EYBGWXX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1004.2422&json=true","fetch_graph":"https://pith.science/api/pith-number/7EYBGWXX4JKL7YSBBVX5L6BYBA/graph.json","fetch_events":"https://pith.science/api/pith-number/7EYBGWXX4JKL7YSBBVX5L6BYBA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7EYBGWXX4JKL7YSBBVX5L6BYBA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7EYBGWXX4JKL7YSBBVX5L6BYBA/action/storage_attestation","attest_author":"https://pith.science/pith/7EYBGWXX4JKL7YSBBVX5L6BYBA/action/author_attestation","sign_citation":"https://pith.science/pith/7EYBGWXX4JKL7YSBBVX5L6BYBA/action/citation_signature","submit_replication":"https://pith.science/pith/7EYBGWXX4JKL7YSBBVX5L6BYBA/action/replication_record"}},"created_at":"2026-05-18T04:03:32.647298+00:00","updated_at":"2026-05-18T04:03:32.647298+00:00"}