{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FPTPYTYINIAGUPIBQS7OMAVBTV","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":"f9f870713781c1755aca3ff9f5b919621d4e7c2245ca733415c2deb39988bee3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-07-13T15:12:09Z","title_canon_sha256":"5f226e2c8bd5f2855beee1243fbdd7f76d950de6ec6a36cf18b45c780a1fc6f6"},"schema_version":"1.0","source":{"id":"1807.05124","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.05124","created_at":"2026-05-17T23:57:57Z"},{"alias_kind":"arxiv_version","alias_value":"1807.05124v2","created_at":"2026-05-17T23:57:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05124","created_at":"2026-05-17T23:57:57Z"},{"alias_kind":"pith_short_12","alias_value":"FPTPYTYINIAG","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"FPTPYTYINIAGUPIB","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"FPTPYTYI","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:0e2e5123e7cee6c85a155b0d221ea0e3c6cb8471cdf914ed5ce36869fbddc0dd","target":"graph","created_at":"2026-05-17T23:57:57Z","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":"We define a new class of shift spaces which contains a number of classes of interest, like Sturmian shifts used in discrete geometry. We show that this class is closed under two natural transformations. The first one is called conjugacy and is obtained by sliding block coding. The second one is called the complete bifix decoding, and typically includes codings by non overlapping blocks of fixed length.","authors_text":"Dominique Perrin, Francesco Dolce","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-07-13T15:12:09Z","title":"Eventually dendric subshifts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05124","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:dceb77280b50994ad6bdfbcfcc1b54ef701bc897ab36bce7e4d964aafba46ce2","target":"record","created_at":"2026-05-17T23:57:57Z","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":"f9f870713781c1755aca3ff9f5b919621d4e7c2245ca733415c2deb39988bee3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-07-13T15:12:09Z","title_canon_sha256":"5f226e2c8bd5f2855beee1243fbdd7f76d950de6ec6a36cf18b45c780a1fc6f6"},"schema_version":"1.0","source":{"id":"1807.05124","kind":"arxiv","version":2}},"canonical_sha256":"2be6fc4f086a006a3d0184bee602a19d520b80ae37cae2dc5c2afe772fea5bd0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2be6fc4f086a006a3d0184bee602a19d520b80ae37cae2dc5c2afe772fea5bd0","first_computed_at":"2026-05-17T23:57:57.357638Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:57.357638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JIfG9LS81ZnrLHPwZwuGpyNN/q2JvxPPcFCAsEbY2dNPS4aU89O7UMIqnEIhGsU+k6mIlTob9E/TuXLWMG4RBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:57.358411Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.05124","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dceb77280b50994ad6bdfbcfcc1b54ef701bc897ab36bce7e4d964aafba46ce2","sha256:0e2e5123e7cee6c85a155b0d221ea0e3c6cb8471cdf914ed5ce36869fbddc0dd"],"state_sha256":"b298ae1442ae4fa0b2f5d6ac490e2179520347ad9d9f9e471fd255b5002db12d"}