{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:KEIETWE25KPZDUQCVP7GATPTLZ","short_pith_number":"pith:KEIETWE2","schema_version":"1.0","canonical_sha256":"511049d89aea9f91d202abfe604df35e4d3604aef6418ebc85e655b2108be9d3","source":{"kind":"arxiv","id":"1704.03916","version":2},"attestation_state":"computed","paper":{"title":"The Mapping Class Group of a Shift of Finite Type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Mike Boyle, Sompong Chuysurichay","submitted_at":"2017-04-12T20:07:30Z","abstract_excerpt":"We study the mapping class group of a nontrivial irreducible shift of finite type: the group of flow equivalences of its mapping torus modulo isotopy. This group plays for flow equivalence the role that the automorphism group plays for conjugacy. It is countable; not residually finite; acts faithfully (and n-transitively, for all n) by permutations on the set of circles in the mapping torus; has solvable word problem and trivial center; etc. There are many open problems."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1704.03916","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-04-12T20:07:30Z","cross_cats_sorted":[],"title_canon_sha256":"99031871571f1d102fc3831eb29458389f8385c9b870a0e8ed9b7d3e81bf4b5d","abstract_canon_sha256":"16a0db16b296bea044fbb62915a0bf9dff1fdca2eb28c781f7344ce29d03d0d6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:55.098349Z","signature_b64":"N3HdhYl7lOkjYe8e1tIOhf5Za7Rt9IR5gNKXOnVdTp66Te8vpewyzK3zQvGwffzRDxCOb+zIm2ITqU48WqTmCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"511049d89aea9f91d202abfe604df35e4d3604aef6418ebc85e655b2108be9d3","last_reissued_at":"2026-05-18T00:30:55.097787Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:55.097787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Mapping Class Group of a Shift of Finite Type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Mike Boyle, Sompong Chuysurichay","submitted_at":"2017-04-12T20:07:30Z","abstract_excerpt":"We study the mapping class group of a nontrivial irreducible shift of finite type: the group of flow equivalences of its mapping torus modulo isotopy. This group plays for flow equivalence the role that the automorphism group plays for conjugacy. It is countable; not residually finite; acts faithfully (and n-transitively, for all n) by permutations on the set of circles in the mapping torus; has solvable word problem and trivial center; etc. There are many open problems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03916","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1704.03916","created_at":"2026-05-18T00:30:55.097866+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.03916v2","created_at":"2026-05-18T00:30:55.097866+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03916","created_at":"2026-05-18T00:30:55.097866+00:00"},{"alias_kind":"pith_short_12","alias_value":"KEIETWE25KPZ","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_16","alias_value":"KEIETWE25KPZDUQC","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_8","alias_value":"KEIETWE2","created_at":"2026-05-18T12:31:24.725408+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KEIETWE25KPZDUQCVP7GATPTLZ","json":"https://pith.science/pith/KEIETWE25KPZDUQCVP7GATPTLZ.json","graph_json":"https://pith.science/api/pith-number/KEIETWE25KPZDUQCVP7GATPTLZ/graph.json","events_json":"https://pith.science/api/pith-number/KEIETWE25KPZDUQCVP7GATPTLZ/events.json","paper":"https://pith.science/paper/KEIETWE2"},"agent_actions":{"view_html":"https://pith.science/pith/KEIETWE25KPZDUQCVP7GATPTLZ","download_json":"https://pith.science/pith/KEIETWE25KPZDUQCVP7GATPTLZ.json","view_paper":"https://pith.science/paper/KEIETWE2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.03916&json=true","fetch_graph":"https://pith.science/api/pith-number/KEIETWE25KPZDUQCVP7GATPTLZ/graph.json","fetch_events":"https://pith.science/api/pith-number/KEIETWE25KPZDUQCVP7GATPTLZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KEIETWE25KPZDUQCVP7GATPTLZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KEIETWE25KPZDUQCVP7GATPTLZ/action/storage_attestation","attest_author":"https://pith.science/pith/KEIETWE25KPZDUQCVP7GATPTLZ/action/author_attestation","sign_citation":"https://pith.science/pith/KEIETWE25KPZDUQCVP7GATPTLZ/action/citation_signature","submit_replication":"https://pith.science/pith/KEIETWE25KPZDUQCVP7GATPTLZ/action/replication_record"}},"created_at":"2026-05-18T00:30:55.097866+00:00","updated_at":"2026-05-18T00:30:55.097866+00:00"}