{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:N2IJUYULIKUTPKB5CPROZP7JO4","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":"675b88a3790d155a105369880c9cf4cec0e5c0ac3e815f2e0813c8ffa0d672fd","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-10-15T18:03:23Z","title_canon_sha256":"dd48c1ce1de60e3792896ef800cda26cde634148b7329f8b15e69e262b3e0d23"},"schema_version":"1.0","source":{"id":"1510.04649","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.04649","created_at":"2026-05-18T01:30:00Z"},{"alias_kind":"arxiv_version","alias_value":"1510.04649v2","created_at":"2026-05-18T01:30:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.04649","created_at":"2026-05-18T01:30:00Z"},{"alias_kind":"pith_short_12","alias_value":"N2IJUYULIKUT","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"N2IJUYULIKUTPKB5","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"N2IJUYUL","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:f179a56857f10f1464b27a640fe1426779f26157141980823517ddae2e301e43","target":"graph","created_at":"2026-05-18T01:30:00Z","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":"In this paper we further develop the theory of one sided shift spaces over infinite alphabets, characterizing one-step shifts as edge shifts of ultragraphs and partially answering a conjecture regarding shifts of finite type (we show that there exists shifts of finite type that are not conjugate, via a conjugacy that is eventually finite periodic, to an edge shift of a graph ). We also show that there exists edge shifts of ultragraphs that are shifts of finite type, but are not conjugate to a full shift, a result that is not true for edge shifts of graphs. One of the key results needed in the ","authors_text":"Daniel Gon\\c{c}alves, Danilo Royer","cross_cats":["math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-10-15T18:03:23Z","title":"Ultragraphs and shifts spaces over infinite alphabets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04649","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:a333494e5b18de18626efa261ea3b02a12788153a7bfbc4d1e38f17ddc7b4ec1","target":"record","created_at":"2026-05-18T01:30:00Z","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":"675b88a3790d155a105369880c9cf4cec0e5c0ac3e815f2e0813c8ffa0d672fd","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-10-15T18:03:23Z","title_canon_sha256":"dd48c1ce1de60e3792896ef800cda26cde634148b7329f8b15e69e262b3e0d23"},"schema_version":"1.0","source":{"id":"1510.04649","kind":"arxiv","version":2}},"canonical_sha256":"6e909a628b42a937a83d13e2ecbfe9771bf17058b9aa7efa07902991f1843b62","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e909a628b42a937a83d13e2ecbfe9771bf17058b9aa7efa07902991f1843b62","first_computed_at":"2026-05-18T01:30:00.687050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:00.687050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3Rmod50Ml2FjgS6gC+jcFB9WbSOutSfaPG+NZHabix3De1zI0qKXqS29bISWuJJXOXM2Es9NPMnDCO9WigBBDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:00.687522Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.04649","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a333494e5b18de18626efa261ea3b02a12788153a7bfbc4d1e38f17ddc7b4ec1","sha256:f179a56857f10f1464b27a640fe1426779f26157141980823517ddae2e301e43"],"state_sha256":"97f4e1972132f825eda3f18a651f25d5e66abcf7a6d10f27f2d84dd140af1b8a"}