{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:SLQ47ZBNU2YW6TAIYHEMRIQZE6","short_pith_number":"pith:SLQ47ZBN","canonical_record":{"source":{"id":"1405.7339","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-05-28T19:14:31Z","cross_cats_sorted":["math.GN","math.OA"],"title_canon_sha256":"13693e0eb63bb0a3956a2933c8912c018ed5b82337bf7bdd52bf57da334e0d32","abstract_canon_sha256":"363159e3a788b552b654f037bbc6c867de6b92fb1bcfc3b783f9d75160288cd8"},"schema_version":"1.0"},"canonical_sha256":"92e1cfe42da6b16f4c08c1c8c8a21927bb3de92e30bb8e3710f4079755d0d4e7","source":{"kind":"arxiv","id":"1405.7339","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.7339","created_at":"2026-05-18T02:48:54Z"},{"alias_kind":"arxiv_version","alias_value":"1405.7339v3","created_at":"2026-05-18T02:48:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.7339","created_at":"2026-05-18T02:48:54Z"},{"alias_kind":"pith_short_12","alias_value":"SLQ47ZBNU2YW","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SLQ47ZBNU2YW6TAI","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SLQ47ZBN","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:SLQ47ZBNU2YW6TAIYHEMRIQZE6","target":"record","payload":{"canonical_record":{"source":{"id":"1405.7339","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-05-28T19:14:31Z","cross_cats_sorted":["math.GN","math.OA"],"title_canon_sha256":"13693e0eb63bb0a3956a2933c8912c018ed5b82337bf7bdd52bf57da334e0d32","abstract_canon_sha256":"363159e3a788b552b654f037bbc6c867de6b92fb1bcfc3b783f9d75160288cd8"},"schema_version":"1.0"},"canonical_sha256":"92e1cfe42da6b16f4c08c1c8c8a21927bb3de92e30bb8e3710f4079755d0d4e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:54.475176Z","signature_b64":"iJEfwDGyB1MSvtXemdLxDc7S1eZZlSyaLK2cHPsd0G6fG6rkwlWtJrFEOAncTmxw2ShmHTqkax6OTu7keuUvDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92e1cfe42da6b16f4c08c1c8c8a21927bb3de92e30bb8e3710f4079755d0d4e7","last_reissued_at":"2026-05-18T02:48:54.474673Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:54.474673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.7339","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:48:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WJL+BNegZx3fn9ubZunMAqqjY5RTmMeQrrmMxgJqTP7Vq2+5xK1lgBj+U8kAF7PLbRRX2Ao5C9aLmeNBk3I2Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:27:28.727813Z"},"content_sha256":"344445041ed5293c9aa0032c969a0d4ed2d49cae35000c3e51af938e1e53bb36","schema_version":"1.0","event_id":"sha256:344445041ed5293c9aa0032c969a0d4ed2d49cae35000c3e51af938e1e53bb36"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:SLQ47ZBNU2YW6TAIYHEMRIQZE6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"(M + 1)-step shift spaces that are not conjugate to M-step shift spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GN","math.OA"],"primary_cat":"math.DS","authors_text":"Daniel Gon\\c{c}alves, Danilo Royer","submitted_at":"2014-05-28T19:14:31Z","abstract_excerpt":"Recently Ott, Tomforde and Willis proposed a new approach for one sided shift spaces over infinite alphabets. In this new approach the conjugacy classes of shifts of finite type, edge shifts, and M-step shifts are distinct and the authors conjecture that for each non-negative integer M there exist an (M+1)-step shift space that is not conjugate to any M-step shift. In this short paper we build a class of (M+1)-step shifts that are not conjugate to any M-step shift and hence show that their conjecture is correct."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.7339","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:48:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RyZ0kz/6hNb9Lwv+7PxkUIzuFRjNlO2k5B3DqSTHBOpgdT0ZR5qSt8SRR8yr7GfH9OMYq8IEislu0HJDWOWbCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:27:28.728153Z"},"content_sha256":"07c8230495a6c17feeb1595839044008f3fc5f0a972700b584461e976f58c469","schema_version":"1.0","event_id":"sha256:07c8230495a6c17feeb1595839044008f3fc5f0a972700b584461e976f58c469"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SLQ47ZBNU2YW6TAIYHEMRIQZE6/bundle.json","state_url":"https://pith.science/pith/SLQ47ZBNU2YW6TAIYHEMRIQZE6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SLQ47ZBNU2YW6TAIYHEMRIQZE6/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T16:27:28Z","links":{"resolver":"https://pith.science/pith/SLQ47ZBNU2YW6TAIYHEMRIQZE6","bundle":"https://pith.science/pith/SLQ47ZBNU2YW6TAIYHEMRIQZE6/bundle.json","state":"https://pith.science/pith/SLQ47ZBNU2YW6TAIYHEMRIQZE6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SLQ47ZBNU2YW6TAIYHEMRIQZE6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SLQ47ZBNU2YW6TAIYHEMRIQZE6","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":"363159e3a788b552b654f037bbc6c867de6b92fb1bcfc3b783f9d75160288cd8","cross_cats_sorted":["math.GN","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-05-28T19:14:31Z","title_canon_sha256":"13693e0eb63bb0a3956a2933c8912c018ed5b82337bf7bdd52bf57da334e0d32"},"schema_version":"1.0","source":{"id":"1405.7339","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.7339","created_at":"2026-05-18T02:48:54Z"},{"alias_kind":"arxiv_version","alias_value":"1405.7339v3","created_at":"2026-05-18T02:48:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.7339","created_at":"2026-05-18T02:48:54Z"},{"alias_kind":"pith_short_12","alias_value":"SLQ47ZBNU2YW","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SLQ47ZBNU2YW6TAI","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SLQ47ZBN","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:07c8230495a6c17feeb1595839044008f3fc5f0a972700b584461e976f58c469","target":"graph","created_at":"2026-05-18T02:48:54Z","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":"Recently Ott, Tomforde and Willis proposed a new approach for one sided shift spaces over infinite alphabets. In this new approach the conjugacy classes of shifts of finite type, edge shifts, and M-step shifts are distinct and the authors conjecture that for each non-negative integer M there exist an (M+1)-step shift space that is not conjugate to any M-step shift. In this short paper we build a class of (M+1)-step shifts that are not conjugate to any M-step shift and hence show that their conjecture is correct.","authors_text":"Daniel Gon\\c{c}alves, Danilo Royer","cross_cats":["math.GN","math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-05-28T19:14:31Z","title":"(M + 1)-step shift spaces that are not conjugate to M-step shift spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.7339","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":"sha256:344445041ed5293c9aa0032c969a0d4ed2d49cae35000c3e51af938e1e53bb36","target":"record","created_at":"2026-05-18T02:48:54Z","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":"363159e3a788b552b654f037bbc6c867de6b92fb1bcfc3b783f9d75160288cd8","cross_cats_sorted":["math.GN","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-05-28T19:14:31Z","title_canon_sha256":"13693e0eb63bb0a3956a2933c8912c018ed5b82337bf7bdd52bf57da334e0d32"},"schema_version":"1.0","source":{"id":"1405.7339","kind":"arxiv","version":3}},"canonical_sha256":"92e1cfe42da6b16f4c08c1c8c8a21927bb3de92e30bb8e3710f4079755d0d4e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92e1cfe42da6b16f4c08c1c8c8a21927bb3de92e30bb8e3710f4079755d0d4e7","first_computed_at":"2026-05-18T02:48:54.474673Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:54.474673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iJEfwDGyB1MSvtXemdLxDc7S1eZZlSyaLK2cHPsd0G6fG6rkwlWtJrFEOAncTmxw2ShmHTqkax6OTu7keuUvDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:54.475176Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.7339","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:344445041ed5293c9aa0032c969a0d4ed2d49cae35000c3e51af938e1e53bb36","sha256:07c8230495a6c17feeb1595839044008f3fc5f0a972700b584461e976f58c469"],"state_sha256":"6d2c396806fb1824fbac08c4f07dc28d9ef507ff5a6d189232cd28fa9d44948b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HsHXg8Y7XS67cEQWxnOBsOdO8zVnQ0ypWBM1nO2pCAVic09DwdFeEC7ajzt/AmTa+g+5yxHFF6iOFic2gZWrDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T16:27:28.730104Z","bundle_sha256":"012032385cdbffc4318d3d32e4dea24234b6a28b3b1707ea37058e762086fb05"}}