{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:75URGVRVFFPHLHPNLPR23M35TZ","short_pith_number":"pith:75URGVRV","schema_version":"1.0","canonical_sha256":"ff69135635295e759ded5be3adb37d9e75c6d9bfcbd2a34e1fca309f4b86e748","source":{"kind":"arxiv","id":"1506.00949","version":1},"attestation_state":"computed","paper":{"title":"Recursive games: Uniform value, Tauberian theorem and the Mertens conjecture \"$Maxmin=\\lim v_n=\\lim v_\\lambda$\"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.OC","authors_text":"Xavier Venel, Xiaoxi Li","submitted_at":"2015-06-02T16:32:42Z","abstract_excerpt":"We study two-player zero-sum recursive games with a countable state space and finite action spaces at each state. When the family of $n$-stage values $\\{v_n,n\\geq 1\\}$ is totally bounded for the uniform norm, we prove the existence of the uniform value. Together with a result in Rosenberg and Vieille (2000), we obtain a uniform Tauberian theorem for recursive games: $(v_n)$ converges uniformly if and only if $(v_\\lambda)$ converges uniformly.\n  We apply our main result to finite recursive games with signals (where players observe only signals on the state and on past actions). When the maximiz"},"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":"1506.00949","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-06-02T16:32:42Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"db8fe36126a444ae6ad96b6ae960f07a9d1b99a2409bf090390ad4a871935bce","abstract_canon_sha256":"00f07dd38fdcd6dd7859c93d9f6dfd949b2e024d2c67af12eed613930f5452fe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:34.008078Z","signature_b64":"be/lJ3qRUedUpxa2JB9/E/9MltbXsoade6W2+os4lNMLkpJtHNT1ug26Yl+cFbkcXb3czbGyIwtvpX7l3NB4BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff69135635295e759ded5be3adb37d9e75c6d9bfcbd2a34e1fca309f4b86e748","last_reissued_at":"2026-05-18T01:59:34.007618Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:34.007618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Recursive games: Uniform value, Tauberian theorem and the Mertens conjecture \"$Maxmin=\\lim v_n=\\lim v_\\lambda$\"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.OC","authors_text":"Xavier Venel, Xiaoxi Li","submitted_at":"2015-06-02T16:32:42Z","abstract_excerpt":"We study two-player zero-sum recursive games with a countable state space and finite action spaces at each state. When the family of $n$-stage values $\\{v_n,n\\geq 1\\}$ is totally bounded for the uniform norm, we prove the existence of the uniform value. Together with a result in Rosenberg and Vieille (2000), we obtain a uniform Tauberian theorem for recursive games: $(v_n)$ converges uniformly if and only if $(v_\\lambda)$ converges uniformly.\n  We apply our main result to finite recursive games with signals (where players observe only signals on the state and on past actions). When the maximiz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00949","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":"1506.00949","created_at":"2026-05-18T01:59:34.007688+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.00949v1","created_at":"2026-05-18T01:59:34.007688+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00949","created_at":"2026-05-18T01:59:34.007688+00:00"},{"alias_kind":"pith_short_12","alias_value":"75URGVRVFFPH","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"75URGVRVFFPHLHPN","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"75URGVRV","created_at":"2026-05-18T12:29:07.941421+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/75URGVRVFFPHLHPNLPR23M35TZ","json":"https://pith.science/pith/75URGVRVFFPHLHPNLPR23M35TZ.json","graph_json":"https://pith.science/api/pith-number/75URGVRVFFPHLHPNLPR23M35TZ/graph.json","events_json":"https://pith.science/api/pith-number/75URGVRVFFPHLHPNLPR23M35TZ/events.json","paper":"https://pith.science/paper/75URGVRV"},"agent_actions":{"view_html":"https://pith.science/pith/75URGVRVFFPHLHPNLPR23M35TZ","download_json":"https://pith.science/pith/75URGVRVFFPHLHPNLPR23M35TZ.json","view_paper":"https://pith.science/paper/75URGVRV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.00949&json=true","fetch_graph":"https://pith.science/api/pith-number/75URGVRVFFPHLHPNLPR23M35TZ/graph.json","fetch_events":"https://pith.science/api/pith-number/75URGVRVFFPHLHPNLPR23M35TZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/75URGVRVFFPHLHPNLPR23M35TZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/75URGVRVFFPHLHPNLPR23M35TZ/action/storage_attestation","attest_author":"https://pith.science/pith/75URGVRVFFPHLHPNLPR23M35TZ/action/author_attestation","sign_citation":"https://pith.science/pith/75URGVRVFFPHLHPNLPR23M35TZ/action/citation_signature","submit_replication":"https://pith.science/pith/75URGVRVFFPHLHPNLPR23M35TZ/action/replication_record"}},"created_at":"2026-05-18T01:59:34.007688+00:00","updated_at":"2026-05-18T01:59:34.007688+00:00"}