{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:DNMIE4ZBRWLIU2II5NWK3UBV5A","short_pith_number":"pith:DNMIE4ZB","schema_version":"1.0","canonical_sha256":"1b588273218d968a6908eb6cadd035e808d5bf46a41f4b0cf374830709ab5827","source":{"kind":"arxiv","id":"1310.0650","version":1},"attestation_state":"computed","paper":{"title":"Playing with Subshifts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.FL"],"primary_cat":"math.DS","authors_text":"Ilkka T\\\"orm\\\"a, Ville Salo","submitted_at":"2013-10-02T10:40:23Z","abstract_excerpt":"We study the class of word-building games, where two players pick letters from a finite alphabet to construct a finite or infinite word. The outcome is determined by whether the resulting word lies in a prescribed set (a win for player $A$) or not (a win for player $B$). We focus on symbolic dynamical games, where the target set is a subshift. We investigate the relation between the target subshift and the set of turn orders for which $A$ has a winning strategy."},"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":"1310.0650","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-10-02T10:40:23Z","cross_cats_sorted":["cs.FL"],"title_canon_sha256":"9bbd757a7f97d4e35753af48c31c59ef0885c24e0dde65086575aea8dff132c7","abstract_canon_sha256":"8f7af894c89aef8462bd1b40fb94c3b64cc3fe88a6fa43a63b673c0bd39f3947"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:17.628386Z","signature_b64":"hCqN0S8/MIm+hcHHfRrkJjAw9yqhW81Sj1SNXvCwykwmyr0tDN80WNb6wwJVQZiZ9EuXqkbSDowKa5sprl1sAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b588273218d968a6908eb6cadd035e808d5bf46a41f4b0cf374830709ab5827","last_reissued_at":"2026-05-18T02:29:17.627967Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:17.627967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Playing with Subshifts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.FL"],"primary_cat":"math.DS","authors_text":"Ilkka T\\\"orm\\\"a, Ville Salo","submitted_at":"2013-10-02T10:40:23Z","abstract_excerpt":"We study the class of word-building games, where two players pick letters from a finite alphabet to construct a finite or infinite word. The outcome is determined by whether the resulting word lies in a prescribed set (a win for player $A$) or not (a win for player $B$). We focus on symbolic dynamical games, where the target set is a subshift. We investigate the relation between the target subshift and the set of turn orders for which $A$ has a winning strategy."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.0650","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1310.0650","created_at":"2026-05-18T02:29:17.628027+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.0650v1","created_at":"2026-05-18T02:29:17.628027+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.0650","created_at":"2026-05-18T02:29:17.628027+00:00"},{"alias_kind":"pith_short_12","alias_value":"DNMIE4ZBRWLI","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"DNMIE4ZBRWLIU2II","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"DNMIE4ZB","created_at":"2026-05-18T12:27:43.054852+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/DNMIE4ZBRWLIU2II5NWK3UBV5A","json":"https://pith.science/pith/DNMIE4ZBRWLIU2II5NWK3UBV5A.json","graph_json":"https://pith.science/api/pith-number/DNMIE4ZBRWLIU2II5NWK3UBV5A/graph.json","events_json":"https://pith.science/api/pith-number/DNMIE4ZBRWLIU2II5NWK3UBV5A/events.json","paper":"https://pith.science/paper/DNMIE4ZB"},"agent_actions":{"view_html":"https://pith.science/pith/DNMIE4ZBRWLIU2II5NWK3UBV5A","download_json":"https://pith.science/pith/DNMIE4ZBRWLIU2II5NWK3UBV5A.json","view_paper":"https://pith.science/paper/DNMIE4ZB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.0650&json=true","fetch_graph":"https://pith.science/api/pith-number/DNMIE4ZBRWLIU2II5NWK3UBV5A/graph.json","fetch_events":"https://pith.science/api/pith-number/DNMIE4ZBRWLIU2II5NWK3UBV5A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DNMIE4ZBRWLIU2II5NWK3UBV5A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DNMIE4ZBRWLIU2II5NWK3UBV5A/action/storage_attestation","attest_author":"https://pith.science/pith/DNMIE4ZBRWLIU2II5NWK3UBV5A/action/author_attestation","sign_citation":"https://pith.science/pith/DNMIE4ZBRWLIU2II5NWK3UBV5A/action/citation_signature","submit_replication":"https://pith.science/pith/DNMIE4ZBRWLIU2II5NWK3UBV5A/action/replication_record"}},"created_at":"2026-05-18T02:29:17.628027+00:00","updated_at":"2026-05-18T02:29:17.628027+00:00"}