{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:OT6JRZEW2Q7XP55DDJQBN2IPPR","short_pith_number":"pith:OT6JRZEW","canonical_record":{"source":{"id":"1504.02627","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-04-10T10:05:58Z","cross_cats_sorted":["cs.GT"],"title_canon_sha256":"25c7666bda3986921ad88d5a9379e1de7ed8fcffc4f2830014b27ddf28876a1b","abstract_canon_sha256":"348e84022ac70f8b68da00ec8e0cce3fff7b152738e744587c9e965bc43c8cb7"},"schema_version":"1.0"},"canonical_sha256":"74fc98e496d43f77f7a31a6016e90f7c5e85d582965333f7eb34a789f0d70477","source":{"kind":"arxiv","id":"1504.02627","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.02627","created_at":"2026-05-18T02:19:07Z"},{"alias_kind":"arxiv_version","alias_value":"1504.02627v1","created_at":"2026-05-18T02:19:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.02627","created_at":"2026-05-18T02:19:07Z"},{"alias_kind":"pith_short_12","alias_value":"OT6JRZEW2Q7X","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OT6JRZEW2Q7XP55D","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OT6JRZEW","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:OT6JRZEW2Q7XP55DDJQBN2IPPR","target":"record","payload":{"canonical_record":{"source":{"id":"1504.02627","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-04-10T10:05:58Z","cross_cats_sorted":["cs.GT"],"title_canon_sha256":"25c7666bda3986921ad88d5a9379e1de7ed8fcffc4f2830014b27ddf28876a1b","abstract_canon_sha256":"348e84022ac70f8b68da00ec8e0cce3fff7b152738e744587c9e965bc43c8cb7"},"schema_version":"1.0"},"canonical_sha256":"74fc98e496d43f77f7a31a6016e90f7c5e85d582965333f7eb34a789f0d70477","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:19:07.064362Z","signature_b64":"5ahfRsZ4hU7E72clrRx5tSs90eGSziSuZQ9KPyMONArwZbMYQonTGchuum0729vbiK6dfHfsZOquN77V0ODQAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74fc98e496d43f77f7a31a6016e90f7c5e85d582965333f7eb34a789f0d70477","last_reissued_at":"2026-05-18T02:19:07.063691Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:19:07.063691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.02627","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":"2026-05-18T02:19:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nDrojp1MdPICwNY7ET0fHIqmIH6BYF20LMOR5zlavIpqFw0nNwr6Q5mpPBYdZx2xVGZi3+XPSN3rk04icNqMAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T06:02:05.366882Z"},"content_sha256":"61c1770423f19958d4a88f0bbedc3e78154ebb2c45aeb0692e5b0d3ed3ea3a45","schema_version":"1.0","event_id":"sha256:61c1770423f19958d4a88f0bbedc3e78154ebb2c45aeb0692e5b0d3ed3ea3a45"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:OT6JRZEW2Q7XP55DDJQBN2IPPR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"What are Strategies in Delay Games? Borel Determinacy for Games with Lookahead","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.GT"],"primary_cat":"cs.LO","authors_text":"Felix Klein, Martin Zimmermann","submitted_at":"2015-04-10T10:05:58Z","abstract_excerpt":"We investigate determinacy of delay games with Borel winning conditions, infinite-duration two-player games in which one player may delay her moves to obtain a lookahead on her opponent's moves.\n  First, we prove determinacy of such games with respect to a fixed evolution of the lookahead. However, strategies in such games may depend on information about the evolution. Thus, we introduce different notions of universal strategies for both players, which are evolution-independent, and determine the exact amount of information a universal strategy needs about the history of a play and the evoluti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.02627","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":"2026-05-18T02:19:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gcffpWgmU5aBII91MFAkIaNR8DtU3ejvX4Xbjt47MZTnJ9/nfg/HebGnJnbZX9q/0xQMUd2TwuWm74CDNHFeCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T06:02:05.367618Z"},"content_sha256":"e6280fd951a0d7e336365521aab8ef6893eb901722773c0cadc5dc06e1b4c477","schema_version":"1.0","event_id":"sha256:e6280fd951a0d7e336365521aab8ef6893eb901722773c0cadc5dc06e1b4c477"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OT6JRZEW2Q7XP55DDJQBN2IPPR/bundle.json","state_url":"https://pith.science/pith/OT6JRZEW2Q7XP55DDJQBN2IPPR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OT6JRZEW2Q7XP55DDJQBN2IPPR/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":"2026-06-11T06:02:05Z","links":{"resolver":"https://pith.science/pith/OT6JRZEW2Q7XP55DDJQBN2IPPR","bundle":"https://pith.science/pith/OT6JRZEW2Q7XP55DDJQBN2IPPR/bundle.json","state":"https://pith.science/pith/OT6JRZEW2Q7XP55DDJQBN2IPPR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OT6JRZEW2Q7XP55DDJQBN2IPPR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OT6JRZEW2Q7XP55DDJQBN2IPPR","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":"348e84022ac70f8b68da00ec8e0cce3fff7b152738e744587c9e965bc43c8cb7","cross_cats_sorted":["cs.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-04-10T10:05:58Z","title_canon_sha256":"25c7666bda3986921ad88d5a9379e1de7ed8fcffc4f2830014b27ddf28876a1b"},"schema_version":"1.0","source":{"id":"1504.02627","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.02627","created_at":"2026-05-18T02:19:07Z"},{"alias_kind":"arxiv_version","alias_value":"1504.02627v1","created_at":"2026-05-18T02:19:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.02627","created_at":"2026-05-18T02:19:07Z"},{"alias_kind":"pith_short_12","alias_value":"OT6JRZEW2Q7X","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OT6JRZEW2Q7XP55D","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OT6JRZEW","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:e6280fd951a0d7e336365521aab8ef6893eb901722773c0cadc5dc06e1b4c477","target":"graph","created_at":"2026-05-18T02:19:07Z","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":"We investigate determinacy of delay games with Borel winning conditions, infinite-duration two-player games in which one player may delay her moves to obtain a lookahead on her opponent's moves.\n  First, we prove determinacy of such games with respect to a fixed evolution of the lookahead. However, strategies in such games may depend on information about the evolution. Thus, we introduce different notions of universal strategies for both players, which are evolution-independent, and determine the exact amount of information a universal strategy needs about the history of a play and the evoluti","authors_text":"Felix Klein, Martin Zimmermann","cross_cats":["cs.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-04-10T10:05:58Z","title":"What are Strategies in Delay Games? Borel Determinacy for Games with Lookahead"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.02627","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":"sha256:61c1770423f19958d4a88f0bbedc3e78154ebb2c45aeb0692e5b0d3ed3ea3a45","target":"record","created_at":"2026-05-18T02:19:07Z","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":"348e84022ac70f8b68da00ec8e0cce3fff7b152738e744587c9e965bc43c8cb7","cross_cats_sorted":["cs.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-04-10T10:05:58Z","title_canon_sha256":"25c7666bda3986921ad88d5a9379e1de7ed8fcffc4f2830014b27ddf28876a1b"},"schema_version":"1.0","source":{"id":"1504.02627","kind":"arxiv","version":1}},"canonical_sha256":"74fc98e496d43f77f7a31a6016e90f7c5e85d582965333f7eb34a789f0d70477","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74fc98e496d43f77f7a31a6016e90f7c5e85d582965333f7eb34a789f0d70477","first_computed_at":"2026-05-18T02:19:07.063691Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:07.063691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5ahfRsZ4hU7E72clrRx5tSs90eGSziSuZQ9KPyMONArwZbMYQonTGchuum0729vbiK6dfHfsZOquN77V0ODQAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:07.064362Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.02627","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61c1770423f19958d4a88f0bbedc3e78154ebb2c45aeb0692e5b0d3ed3ea3a45","sha256:e6280fd951a0d7e336365521aab8ef6893eb901722773c0cadc5dc06e1b4c477"],"state_sha256":"127f458eb44fe5eeb4e8bfe7c234af752cd43cf45b71810243565b16e219f5f3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BXkfQ2djup3+vaBmr7NLGJpry8aSPgVvRt9+pFFEIFTPGQov+kP20nR/FwMI7xrDw+ng20EVxcQqESmje8sJDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T06:02:05.373175Z","bundle_sha256":"0c8893e77eb924d12afea6194d621fbfe56043d824ccdfbe0422f56129f2e5a7"}}