{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:SE46Z5AV2RF2PT34QPEABXLG5W","short_pith_number":"pith:SE46Z5AV","canonical_record":{"source":{"id":"1812.06219","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-12-15T02:01:47Z","cross_cats_sorted":[],"title_canon_sha256":"cf0523fc425b520a565b3b616616329d50bb772a8b6cff860dec5011290bd136","abstract_canon_sha256":"658118438ab37585424203a6ba9f0d8384558f2694f17b9631fa2550ab2d6a52"},"schema_version":"1.0"},"canonical_sha256":"9139ecf415d44ba7cf7c83c800dd66ed8ef92e5b265d619b3200518c611f469a","source":{"kind":"arxiv","id":"1812.06219","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.06219","created_at":"2026-05-17T23:58:12Z"},{"alias_kind":"arxiv_version","alias_value":"1812.06219v1","created_at":"2026-05-17T23:58:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.06219","created_at":"2026-05-17T23:58:12Z"},{"alias_kind":"pith_short_12","alias_value":"SE46Z5AV2RF2","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SE46Z5AV2RF2PT34","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SE46Z5AV","created_at":"2026-05-18T12:32:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:SE46Z5AV2RF2PT34QPEABXLG5W","target":"record","payload":{"canonical_record":{"source":{"id":"1812.06219","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-12-15T02:01:47Z","cross_cats_sorted":[],"title_canon_sha256":"cf0523fc425b520a565b3b616616329d50bb772a8b6cff860dec5011290bd136","abstract_canon_sha256":"658118438ab37585424203a6ba9f0d8384558f2694f17b9631fa2550ab2d6a52"},"schema_version":"1.0"},"canonical_sha256":"9139ecf415d44ba7cf7c83c800dd66ed8ef92e5b265d619b3200518c611f469a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:12.841138Z","signature_b64":"//VP66+xKnnOHTgHlND/bPvV7BR3XEhY4rLCWnS13ECmEbjaIABdnOiw8yslZ/JkpJHpZKL0GrZJm6oaFS01Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9139ecf415d44ba7cf7c83c800dd66ed8ef92e5b265d619b3200518c611f469a","last_reissued_at":"2026-05-17T23:58:12.840495Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:12.840495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.06219","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:58:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yk6ZPjUb9USRfBEzJAN0JlGc3tBUP+HtRoTJDjpAqEJ/VY6VWbOy7I33Dr8ZDAU6zN7mBckwx03F61qDun7TCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T17:36:30.331105Z"},"content_sha256":"c369a0c39a17082bddab2a1d2a639d4059b6d872648872cc793fa0922eb0cc7e","schema_version":"1.0","event_id":"sha256:c369a0c39a17082bddab2a1d2a639d4059b6d872648872cc793fa0922eb0cc7e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:SE46Z5AV2RF2PT34QPEABXLG5W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Loss of Gibbs property in one-dimensional mixing shifts of finite type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Soonjo Hong","submitted_at":"2018-12-15T02:01:47Z","abstract_excerpt":"Let $\\pi$ be a factor map from a one-dimensional mixing shift of finite type $X$ onto a sofic shift $Y$. We investigate when $\\pi$ sends Gibbs measures on $X$ to non-Gibbs measures on $Y$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.06219","kind":"arxiv","version":1},"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":"2026-05-17T23:58:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vu70aBi5O7CfFRnUenbGjC9Mdz4rGK9giPJLNeWvsq3xRm46HMfHV7QD3XzvPAfHoi+iL7vScKjwz9ms8iQ3Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T17:36:30.331511Z"},"content_sha256":"eec8e6e6f9faf499d44f7844fae971cfac930189691080e2f471577ff1959129","schema_version":"1.0","event_id":"sha256:eec8e6e6f9faf499d44f7844fae971cfac930189691080e2f471577ff1959129"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SE46Z5AV2RF2PT34QPEABXLG5W/bundle.json","state_url":"https://pith.science/pith/SE46Z5AV2RF2PT34QPEABXLG5W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SE46Z5AV2RF2PT34QPEABXLG5W/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":"2026-06-09T17:36:30Z","links":{"resolver":"https://pith.science/pith/SE46Z5AV2RF2PT34QPEABXLG5W","bundle":"https://pith.science/pith/SE46Z5AV2RF2PT34QPEABXLG5W/bundle.json","state":"https://pith.science/pith/SE46Z5AV2RF2PT34QPEABXLG5W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SE46Z5AV2RF2PT34QPEABXLG5W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SE46Z5AV2RF2PT34QPEABXLG5W","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":"658118438ab37585424203a6ba9f0d8384558f2694f17b9631fa2550ab2d6a52","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-12-15T02:01:47Z","title_canon_sha256":"cf0523fc425b520a565b3b616616329d50bb772a8b6cff860dec5011290bd136"},"schema_version":"1.0","source":{"id":"1812.06219","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.06219","created_at":"2026-05-17T23:58:12Z"},{"alias_kind":"arxiv_version","alias_value":"1812.06219v1","created_at":"2026-05-17T23:58:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.06219","created_at":"2026-05-17T23:58:12Z"},{"alias_kind":"pith_short_12","alias_value":"SE46Z5AV2RF2","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SE46Z5AV2RF2PT34","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SE46Z5AV","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:eec8e6e6f9faf499d44f7844fae971cfac930189691080e2f471577ff1959129","target":"graph","created_at":"2026-05-17T23:58:12Z","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 $\\pi$ be a factor map from a one-dimensional mixing shift of finite type $X$ onto a sofic shift $Y$. We investigate when $\\pi$ sends Gibbs measures on $X$ to non-Gibbs measures on $Y$.","authors_text":"Soonjo Hong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-12-15T02:01:47Z","title":"Loss of Gibbs property in one-dimensional mixing shifts of finite type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.06219","kind":"arxiv","version":1},"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:c369a0c39a17082bddab2a1d2a639d4059b6d872648872cc793fa0922eb0cc7e","target":"record","created_at":"2026-05-17T23:58:12Z","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":"658118438ab37585424203a6ba9f0d8384558f2694f17b9631fa2550ab2d6a52","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-12-15T02:01:47Z","title_canon_sha256":"cf0523fc425b520a565b3b616616329d50bb772a8b6cff860dec5011290bd136"},"schema_version":"1.0","source":{"id":"1812.06219","kind":"arxiv","version":1}},"canonical_sha256":"9139ecf415d44ba7cf7c83c800dd66ed8ef92e5b265d619b3200518c611f469a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9139ecf415d44ba7cf7c83c800dd66ed8ef92e5b265d619b3200518c611f469a","first_computed_at":"2026-05-17T23:58:12.840495Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:12.840495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"//VP66+xKnnOHTgHlND/bPvV7BR3XEhY4rLCWnS13ECmEbjaIABdnOiw8yslZ/JkpJHpZKL0GrZJm6oaFS01Aw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:12.841138Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.06219","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c369a0c39a17082bddab2a1d2a639d4059b6d872648872cc793fa0922eb0cc7e","sha256:eec8e6e6f9faf499d44f7844fae971cfac930189691080e2f471577ff1959129"],"state_sha256":"67eef8bdd51bae93e710d3a81703ae7f3c262a0865d81c8856cf509a744cf04f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zohPEUvgLCSN7s2JEeSYdU/FeQKPQso86uM5Rw3p8CeysLlvG9Zfli7NE94piWTXqxjGgv/f+nEpXRNI5i+jCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T17:36:30.333957Z","bundle_sha256":"f60b21c622fd6b0db55278d6e0bacf0e351d83620f85e17e6341fc63bdc1f76e"}}