{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:4EUE2ROBKRXIBWS22K3WNEYSED","short_pith_number":"pith:4EUE2ROB","schema_version":"1.0","canonical_sha256":"e1284d45c1546e80da5ad2b766931220fd15c3c9d0aac19649c9c670131c5434","source":{"kind":"arxiv","id":"1510.08155","version":1},"attestation_state":"computed","paper":{"title":"A position in infinite chess with game value $\\omega^4$","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.LO","authors_text":"C. D. A. Evans, Joel David Hamkins, Norman Lewis Perlmutter","submitted_at":"2015-10-28T01:40:09Z","abstract_excerpt":"We present a position in infinite chess exhibiting an ordinal game value of $\\omega^4$, thereby improving on the previously largest-known values of $\\omega^3$ and $\\omega^3\\cdot 4$."},"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":"1510.08155","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.LO","submitted_at":"2015-10-28T01:40:09Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"d7780548e67185e3c538b7d51b4741ed4ca97c92c5a78880d2c62200495b4c06","abstract_canon_sha256":"538a51147bbee17aa8887cb9f13fab16d15f52214d216220e2b862a70101a10b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:37.155861Z","signature_b64":"bopf3Z0JQN52kTYLBmJvPLKst6ndD4V1pF+zixh2Y23PDHeG/873BxaP8rMSqKA5n5LlbkqWwu5h2PgDYAstAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1284d45c1546e80da5ad2b766931220fd15c3c9d0aac19649c9c670131c5434","last_reissued_at":"2026-05-18T01:28:37.155216Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:37.155216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A position in infinite chess with game value $\\omega^4$","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.LO","authors_text":"C. D. A. Evans, Joel David Hamkins, Norman Lewis Perlmutter","submitted_at":"2015-10-28T01:40:09Z","abstract_excerpt":"We present a position in infinite chess exhibiting an ordinal game value of $\\omega^4$, thereby improving on the previously largest-known values of $\\omega^3$ and $\\omega^3\\cdot 4$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08155","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":"1510.08155","created_at":"2026-05-18T01:28:37.155306+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.08155v1","created_at":"2026-05-18T01:28:37.155306+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.08155","created_at":"2026-05-18T01:28:37.155306+00:00"},{"alias_kind":"pith_short_12","alias_value":"4EUE2ROBKRXI","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"4EUE2ROBKRXIBWS2","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"4EUE2ROB","created_at":"2026-05-18T12:29:05.191682+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.14963","citing_title":"Emergent transfinite topological dynamics","ref_index":13,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4EUE2ROBKRXIBWS22K3WNEYSED","json":"https://pith.science/pith/4EUE2ROBKRXIBWS22K3WNEYSED.json","graph_json":"https://pith.science/api/pith-number/4EUE2ROBKRXIBWS22K3WNEYSED/graph.json","events_json":"https://pith.science/api/pith-number/4EUE2ROBKRXIBWS22K3WNEYSED/events.json","paper":"https://pith.science/paper/4EUE2ROB"},"agent_actions":{"view_html":"https://pith.science/pith/4EUE2ROBKRXIBWS22K3WNEYSED","download_json":"https://pith.science/pith/4EUE2ROBKRXIBWS22K3WNEYSED.json","view_paper":"https://pith.science/paper/4EUE2ROB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.08155&json=true","fetch_graph":"https://pith.science/api/pith-number/4EUE2ROBKRXIBWS22K3WNEYSED/graph.json","fetch_events":"https://pith.science/api/pith-number/4EUE2ROBKRXIBWS22K3WNEYSED/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4EUE2ROBKRXIBWS22K3WNEYSED/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4EUE2ROBKRXIBWS22K3WNEYSED/action/storage_attestation","attest_author":"https://pith.science/pith/4EUE2ROBKRXIBWS22K3WNEYSED/action/author_attestation","sign_citation":"https://pith.science/pith/4EUE2ROBKRXIBWS22K3WNEYSED/action/citation_signature","submit_replication":"https://pith.science/pith/4EUE2ROBKRXIBWS22K3WNEYSED/action/replication_record"}},"created_at":"2026-05-18T01:28:37.155306+00:00","updated_at":"2026-05-18T01:28:37.155306+00:00"}