{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3CWHA3OMCTGJMVD7EITALQUNIQ","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":"859b3912fd9550c1c3dc88a896a98b966a4c04b7e1f6138cdbd360567f5a4af5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-01-10T09:46:36Z","title_canon_sha256":"1bd08e2f7f82f10d6e8f6ca8d8ad4c02b3b94809e7ec88c70595bb179bd79200"},"schema_version":"1.0","source":{"id":"1101.1750","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1750","created_at":"2026-05-18T00:26:58Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1750v2","created_at":"2026-05-18T00:26:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1750","created_at":"2026-05-18T00:26:58Z"},{"alias_kind":"pith_short_12","alias_value":"3CWHA3OMCTGJ","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3CWHA3OMCTGJMVD7","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3CWHA3OM","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:27534753aae6963f679c8db22dea124c1e4c6492dbac7fa838c39e4ef2d718c3","target":"graph","created_at":"2026-05-18T00:26:58Z","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 $\\Sigma$ and $\\bar\\Sigma$ be finite alphabets. For topologically transitive sofic systems $ X\\subset \\Sigma^{\\Bbb Z}$ and $\\widetilde X\\subset \\widetilde\\Sigma^{\\Bbb Z}$ we give a necessary and sufficient condition for the existence of a homomorphism from $X$ to $\\widetilde X$. For topologically mixing sofic systems $X \\subset \\Sigma^{\\Bbb Z}$ and $\\widetilde X\\subset \\widetilde\\Sigma^{\\Bbb Z}$, such that the topological entropy of $\\widetilde X$ is less than the topological entropy of $X$, we give a necessary and sufficient condition for the existence of a homomorphism of $X$ onto $\\widet","authors_text":"Wolfgang Krieger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-01-10T09:46:36Z","title":"On images of sofic systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1750","kind":"arxiv","version":2},"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:e5662582436bb7844a08d7c7c20ff230575072fb028ab6c96bc175435ae3366e","target":"record","created_at":"2026-05-18T00:26:58Z","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":"859b3912fd9550c1c3dc88a896a98b966a4c04b7e1f6138cdbd360567f5a4af5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-01-10T09:46:36Z","title_canon_sha256":"1bd08e2f7f82f10d6e8f6ca8d8ad4c02b3b94809e7ec88c70595bb179bd79200"},"schema_version":"1.0","source":{"id":"1101.1750","kind":"arxiv","version":2}},"canonical_sha256":"d8ac706dcc14cc96547f222605c28d44108110f3da189600948b67692065a679","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8ac706dcc14cc96547f222605c28d44108110f3da189600948b67692065a679","first_computed_at":"2026-05-18T00:26:58.111918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:58.111918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9/xaJkoXnCcRzApbNekkIK8KVKD8KMvXnu2LPZH2cAKCduHflacyiM3i+Vdq25v5Mg3hOUGi56pBhKVQ50PXBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:58.112514Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.1750","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5662582436bb7844a08d7c7c20ff230575072fb028ab6c96bc175435ae3366e","sha256:27534753aae6963f679c8db22dea124c1e4c6492dbac7fa838c39e4ef2d718c3"],"state_sha256":"e684b0f32101d1e9b158c0e57c7a9f9ea09c61298eb80b4be3480be9ddb6a8a9"}