{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:C4DIKZRLB2E7CU6UROCFFBYNT3","short_pith_number":"pith:C4DIKZRL","canonical_record":{"source":{"id":"1003.1684","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-03-08T17:36:02Z","cross_cats_sorted":[],"title_canon_sha256":"27fc8cf9e362f136a87ea062cf5fcb7ae320dd5b42766cf94b8273c8aa6bafe2","abstract_canon_sha256":"48755b23bef83d1343519fdd07d9f8821cee89550dc29ad2132d09c73ac75054"},"schema_version":"1.0"},"canonical_sha256":"170685662b0e89f153d48b8452870d9edd5bbc4643b54209946813c272335263","source":{"kind":"arxiv","id":"1003.1684","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.1684","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"arxiv_version","alias_value":"1003.1684v2","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1684","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"pith_short_12","alias_value":"C4DIKZRLB2E7","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"C4DIKZRLB2E7CU6U","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"C4DIKZRL","created_at":"2026-05-18T12:26:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:C4DIKZRLB2E7CU6UROCFFBYNT3","target":"record","payload":{"canonical_record":{"source":{"id":"1003.1684","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-03-08T17:36:02Z","cross_cats_sorted":[],"title_canon_sha256":"27fc8cf9e362f136a87ea062cf5fcb7ae320dd5b42766cf94b8273c8aa6bafe2","abstract_canon_sha256":"48755b23bef83d1343519fdd07d9f8821cee89550dc29ad2132d09c73ac75054"},"schema_version":"1.0"},"canonical_sha256":"170685662b0e89f153d48b8452870d9edd5bbc4643b54209946813c272335263","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:38.115819Z","signature_b64":"sAwWFUVCBClMMMJ+BJvj4yi5eBJOBhz2LDPu5ATvoUjjctoUGyxJ3+hPDDmYyVtKqawO1c2xs4KYke7FhteTCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"170685662b0e89f153d48b8452870d9edd5bbc4643b54209946813c272335263","last_reissued_at":"2026-05-18T02:24:38.115116Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:38.115116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.1684","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":"2026-05-18T02:24:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"joeeAPwoGSW7DeLZSJ5S9P9Ys/RigNb2cNexT8uRFhJOyljlp3B+YTpQYkL5/HGZZs6OU3D7uFDZkowZgr/lAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:44:18.757417Z"},"content_sha256":"0b95e5865f1724cb7b512d6f37afd41f62b7b65f4d551449b117f9e5a972ff47","schema_version":"1.0","event_id":"sha256:0b95e5865f1724cb7b512d6f37afd41f62b7b65f4d551449b117f9e5a972ff47"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:C4DIKZRLB2E7CU6UROCFFBYNT3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalised Rabin(1) synthesis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Ruediger Ehlers","submitted_at":"2010-03-08T17:36:02Z","abstract_excerpt":"We present a novel method for the synthesis of finite state systems that is a generalisation of the generalised reactivity(1) synthesis approach by Piterman, Pnueli and Sa'ar. In particular, we describe an efficient method to synthesize systems from linear-time temporal logic specifications for which all assumptions and guarantees have a Rabin index of one. We show how to build a parity game with at most five colours that captures all solutions to the synthesis problem from such a specification. This parity game has a structure that is amenable to symbolic implementations. We furthermore show "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1684","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":"2026-05-18T02:24:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pu/X10TdtNZpKMBUoOGla2hrUg77R6wuvCnYuoR6eduYrnUH0NzQ0ozou53tXWr3MOWa4umT/0fgI8Pyfo++Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:44:18.758137Z"},"content_sha256":"b7a325467f94f658fcf069afa43239cfc2cb566bf417fac32fdfea4dd10406bf","schema_version":"1.0","event_id":"sha256:b7a325467f94f658fcf069afa43239cfc2cb566bf417fac32fdfea4dd10406bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C4DIKZRLB2E7CU6UROCFFBYNT3/bundle.json","state_url":"https://pith.science/pith/C4DIKZRLB2E7CU6UROCFFBYNT3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C4DIKZRLB2E7CU6UROCFFBYNT3/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":"2026-05-28T20:44:18Z","links":{"resolver":"https://pith.science/pith/C4DIKZRLB2E7CU6UROCFFBYNT3","bundle":"https://pith.science/pith/C4DIKZRLB2E7CU6UROCFFBYNT3/bundle.json","state":"https://pith.science/pith/C4DIKZRLB2E7CU6UROCFFBYNT3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C4DIKZRLB2E7CU6UROCFFBYNT3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:C4DIKZRLB2E7CU6UROCFFBYNT3","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":"48755b23bef83d1343519fdd07d9f8821cee89550dc29ad2132d09c73ac75054","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-03-08T17:36:02Z","title_canon_sha256":"27fc8cf9e362f136a87ea062cf5fcb7ae320dd5b42766cf94b8273c8aa6bafe2"},"schema_version":"1.0","source":{"id":"1003.1684","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.1684","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"arxiv_version","alias_value":"1003.1684v2","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1684","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"pith_short_12","alias_value":"C4DIKZRLB2E7","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"C4DIKZRLB2E7CU6U","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"C4DIKZRL","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:b7a325467f94f658fcf069afa43239cfc2cb566bf417fac32fdfea4dd10406bf","target":"graph","created_at":"2026-05-18T02:24:38Z","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 present a novel method for the synthesis of finite state systems that is a generalisation of the generalised reactivity(1) synthesis approach by Piterman, Pnueli and Sa'ar. In particular, we describe an efficient method to synthesize systems from linear-time temporal logic specifications for which all assumptions and guarantees have a Rabin index of one. We show how to build a parity game with at most five colours that captures all solutions to the synthesis problem from such a specification. This parity game has a structure that is amenable to symbolic implementations. We furthermore show ","authors_text":"Ruediger Ehlers","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-03-08T17:36:02Z","title":"Generalised Rabin(1) synthesis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1684","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":"sha256:0b95e5865f1724cb7b512d6f37afd41f62b7b65f4d551449b117f9e5a972ff47","target":"record","created_at":"2026-05-18T02:24:38Z","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":"48755b23bef83d1343519fdd07d9f8821cee89550dc29ad2132d09c73ac75054","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-03-08T17:36:02Z","title_canon_sha256":"27fc8cf9e362f136a87ea062cf5fcb7ae320dd5b42766cf94b8273c8aa6bafe2"},"schema_version":"1.0","source":{"id":"1003.1684","kind":"arxiv","version":2}},"canonical_sha256":"170685662b0e89f153d48b8452870d9edd5bbc4643b54209946813c272335263","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"170685662b0e89f153d48b8452870d9edd5bbc4643b54209946813c272335263","first_computed_at":"2026-05-18T02:24:38.115116Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:38.115116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sAwWFUVCBClMMMJ+BJvj4yi5eBJOBhz2LDPu5ATvoUjjctoUGyxJ3+hPDDmYyVtKqawO1c2xs4KYke7FhteTCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:38.115819Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.1684","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b95e5865f1724cb7b512d6f37afd41f62b7b65f4d551449b117f9e5a972ff47","sha256:b7a325467f94f658fcf069afa43239cfc2cb566bf417fac32fdfea4dd10406bf"],"state_sha256":"498e768d9bb9e20fab32a5bbfebf77533803c0cb3bd980c06a489b93f6eac8d3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2D8JwHMxUOGYGqwKZbq2ceIkFlOxFqJxg2vviduhecugHz8HiB7TtRvyaJPDGIrF5ZkAUze58lXv4Jo8oUZvBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T20:44:18.761871Z","bundle_sha256":"b8b988b2cb60eb25c48dcf120a350fecfe59e2715e411e9c8a916f40b9a6d263"}}