{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:BBVXYJC5XT4C4GTQAPOAC5VQZQ","short_pith_number":"pith:BBVXYJC5","canonical_record":{"source":{"id":"1705.00355","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2017-04-30T18:20:19Z","cross_cats_sorted":["cs.FL"],"title_canon_sha256":"a16a7c20c054d379204d0658e0b93a53b20d5a625c930574b8620c375f0f67af","abstract_canon_sha256":"9b94fdc7a5a6df5f5037971e61d98c849862d85b15f15dcdb1ed630b01780ca2"},"schema_version":"1.0"},"canonical_sha256":"086b7c245dbcf82e1a7003dc0176b0cc32572e81b154386ef2e455325cb65cc7","source":{"kind":"arxiv","id":"1705.00355","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00355","created_at":"2026-05-18T00:38:35Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00355v2","created_at":"2026-05-18T00:38:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00355","created_at":"2026-05-18T00:38:35Z"},{"alias_kind":"pith_short_12","alias_value":"BBVXYJC5XT4C","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BBVXYJC5XT4C4GTQ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BBVXYJC5","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:BBVXYJC5XT4C4GTQAPOAC5VQZQ","target":"record","payload":{"canonical_record":{"source":{"id":"1705.00355","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2017-04-30T18:20:19Z","cross_cats_sorted":["cs.FL"],"title_canon_sha256":"a16a7c20c054d379204d0658e0b93a53b20d5a625c930574b8620c375f0f67af","abstract_canon_sha256":"9b94fdc7a5a6df5f5037971e61d98c849862d85b15f15dcdb1ed630b01780ca2"},"schema_version":"1.0"},"canonical_sha256":"086b7c245dbcf82e1a7003dc0176b0cc32572e81b154386ef2e455325cb65cc7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:35.694068Z","signature_b64":"11SuazoKngsXSADlN3IqztDiYDi9rwbqS/EZPiceImWD2orSZsxpeHxnOjyeNM52PcRjbnOnliIflIGAW+W0BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"086b7c245dbcf82e1a7003dc0176b0cc32572e81b154386ef2e455325cb65cc7","last_reissued_at":"2026-05-18T00:38:35.693656Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:35.693656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.00355","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:38:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2UtQqsg//vU7Os8+3SgofJhx+HOzwKjlrgzrKjE+i7mJrptR0l2rDIexE2LSRkoRqvkKWzBgmoP634C0PuCQDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:48:52.519726Z"},"content_sha256":"4649b29b5031aba12d57a23efba46fb7bd875d6385919e9526ff4de808dd1889","schema_version":"1.0","event_id":"sha256:4649b29b5031aba12d57a23efba46fb7bd875d6385919e9526ff4de808dd1889"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:BBVXYJC5XT4C4GTQAPOAC5VQZQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Domains for Higher-Order Games","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.FL"],"primary_cat":"cs.LO","authors_text":"Matthew Hague, Roland Meyer, Sebastian Muskalla","submitted_at":"2017-04-30T18:20:19Z","abstract_excerpt":"We study two-player inclusion games played over word-generating higher-order recursion schemes. While inclusion checks are known to capture verification problems, two-player games generalize this relationship to program synthesis. In such games, non-terminals of the grammar are controlled by opposing players. The goal of the existential player is to avoid producing a word that lies outside of a regular language of safe words.\n  We contribute a new domain that provides a representation of the winning region of such games. Our domain is based on (functions over) potentially infinite Boolean form"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00355","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:38:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zxG0gTCW08XdYrMR4ItXU5RKFt2//4vY8AF4N3zSCuDsB3u+eeL29hWX2uHrfBL2P//zUxv9PjtvOT3m1gcHCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:48:52.520070Z"},"content_sha256":"10a5a7f60cd5c80dd51ac05d4dd1f14988a4c1e796183b7b8ec63faac210ea2d","schema_version":"1.0","event_id":"sha256:10a5a7f60cd5c80dd51ac05d4dd1f14988a4c1e796183b7b8ec63faac210ea2d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BBVXYJC5XT4C4GTQAPOAC5VQZQ/bundle.json","state_url":"https://pith.science/pith/BBVXYJC5XT4C4GTQAPOAC5VQZQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BBVXYJC5XT4C4GTQAPOAC5VQZQ/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":"2026-06-23T16:48:52Z","links":{"resolver":"https://pith.science/pith/BBVXYJC5XT4C4GTQAPOAC5VQZQ","bundle":"https://pith.science/pith/BBVXYJC5XT4C4GTQAPOAC5VQZQ/bundle.json","state":"https://pith.science/pith/BBVXYJC5XT4C4GTQAPOAC5VQZQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BBVXYJC5XT4C4GTQAPOAC5VQZQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BBVXYJC5XT4C4GTQAPOAC5VQZQ","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":"9b94fdc7a5a6df5f5037971e61d98c849862d85b15f15dcdb1ed630b01780ca2","cross_cats_sorted":["cs.FL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2017-04-30T18:20:19Z","title_canon_sha256":"a16a7c20c054d379204d0658e0b93a53b20d5a625c930574b8620c375f0f67af"},"schema_version":"1.0","source":{"id":"1705.00355","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00355","created_at":"2026-05-18T00:38:35Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00355v2","created_at":"2026-05-18T00:38:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00355","created_at":"2026-05-18T00:38:35Z"},{"alias_kind":"pith_short_12","alias_value":"BBVXYJC5XT4C","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BBVXYJC5XT4C4GTQ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BBVXYJC5","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:10a5a7f60cd5c80dd51ac05d4dd1f14988a4c1e796183b7b8ec63faac210ea2d","target":"graph","created_at":"2026-05-18T00:38:35Z","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 study two-player inclusion games played over word-generating higher-order recursion schemes. While inclusion checks are known to capture verification problems, two-player games generalize this relationship to program synthesis. In such games, non-terminals of the grammar are controlled by opposing players. The goal of the existential player is to avoid producing a word that lies outside of a regular language of safe words.\n  We contribute a new domain that provides a representation of the winning region of such games. Our domain is based on (functions over) potentially infinite Boolean form","authors_text":"Matthew Hague, Roland Meyer, Sebastian Muskalla","cross_cats":["cs.FL"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2017-04-30T18:20:19Z","title":"Domains for Higher-Order Games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00355","kind":"arxiv","version":2},"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":"sha256:4649b29b5031aba12d57a23efba46fb7bd875d6385919e9526ff4de808dd1889","target":"record","created_at":"2026-05-18T00:38:35Z","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":"9b94fdc7a5a6df5f5037971e61d98c849862d85b15f15dcdb1ed630b01780ca2","cross_cats_sorted":["cs.FL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2017-04-30T18:20:19Z","title_canon_sha256":"a16a7c20c054d379204d0658e0b93a53b20d5a625c930574b8620c375f0f67af"},"schema_version":"1.0","source":{"id":"1705.00355","kind":"arxiv","version":2}},"canonical_sha256":"086b7c245dbcf82e1a7003dc0176b0cc32572e81b154386ef2e455325cb65cc7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"086b7c245dbcf82e1a7003dc0176b0cc32572e81b154386ef2e455325cb65cc7","first_computed_at":"2026-05-18T00:38:35.693656Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:35.693656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"11SuazoKngsXSADlN3IqztDiYDi9rwbqS/EZPiceImWD2orSZsxpeHxnOjyeNM52PcRjbnOnliIflIGAW+W0BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:35.694068Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.00355","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4649b29b5031aba12d57a23efba46fb7bd875d6385919e9526ff4de808dd1889","sha256:10a5a7f60cd5c80dd51ac05d4dd1f14988a4c1e796183b7b8ec63faac210ea2d"],"state_sha256":"0ca3d8df4ce01d5da1a19f5f0596108fb005b47212fe6225454cc18313f1211e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j2AelUSS6OJ7/gJ+FKakynNPELgpeKUVdY8KOb7RBY/wDS1wlfOBYmmpJWU76y4XeN4or4rYt5Hj72f8iA51DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T16:48:52.522000Z","bundle_sha256":"691db47254feaba2a20716079d8e20a8088b411225ee3ff90c0745e1e58851ee"}}