{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ZCPAN6J2KGUI3OG7ECNA4ZFVKI","short_pith_number":"pith:ZCPAN6J2","canonical_record":{"source":{"id":"1805.00748","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-05-02T11:55:07Z","cross_cats_sorted":[],"title_canon_sha256":"a8a4d65875d15423f66cfffb7c9d3989a301214ae0ef265c1db47d276909b20f","abstract_canon_sha256":"fe965614452442da86c5847b1a32432f7a8e5674099e71a60a55e3c2bc893f2d"},"schema_version":"1.0"},"canonical_sha256":"c89e06f93a51a88db8df209a0e64b5521cd9201ecddd0c574244c4f08b29bfdd","source":{"kind":"arxiv","id":"1805.00748","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.00748","created_at":"2026-05-18T00:16:57Z"},{"alias_kind":"arxiv_version","alias_value":"1805.00748v1","created_at":"2026-05-18T00:16:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.00748","created_at":"2026-05-18T00:16:57Z"},{"alias_kind":"pith_short_12","alias_value":"ZCPAN6J2KGUI","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"ZCPAN6J2KGUI3OG7","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"ZCPAN6J2","created_at":"2026-05-18T12:33:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ZCPAN6J2KGUI3OG7ECNA4ZFVKI","target":"record","payload":{"canonical_record":{"source":{"id":"1805.00748","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-05-02T11:55:07Z","cross_cats_sorted":[],"title_canon_sha256":"a8a4d65875d15423f66cfffb7c9d3989a301214ae0ef265c1db47d276909b20f","abstract_canon_sha256":"fe965614452442da86c5847b1a32432f7a8e5674099e71a60a55e3c2bc893f2d"},"schema_version":"1.0"},"canonical_sha256":"c89e06f93a51a88db8df209a0e64b5521cd9201ecddd0c574244c4f08b29bfdd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:57.880508Z","signature_b64":"lPgSzqtr19Uxp3b5TD/TCUk0HesFOQyGEHEnX70+MKkYS7+Fb2tQR31/3ZZZSXCtvUpxHwp8QKO0X5IbA9n6AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c89e06f93a51a88db8df209a0e64b5521cd9201ecddd0c574244c4f08b29bfdd","last_reissued_at":"2026-05-18T00:16:57.879608Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:57.879608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.00748","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":"2026-05-18T00:16:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0gHPKOddzSN5tcTIOKCSuDs/gLZJWkj5jqEB29tSjhC7Munvm6jwPgkdHeq8wUCd5YErPgx9HIJLTUyrnXMYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T18:37:10.290390Z"},"content_sha256":"2348a1efb608c5ef2cece7d00212e7c9e526c3c9fa757cb8015d407e774ce9eb","schema_version":"1.0","event_id":"sha256:2348a1efb608c5ef2cece7d00212e7c9e526c3c9fa757cb8015d407e774ce9eb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ZCPAN6J2KGUI3OG7ECNA4ZFVKI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"One Theorem to Rule Them All: A Unified Translation of LTL into {\\omega}-Automata","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Jan Kretinsky, Javier Esparza, Salomon Sickert","submitted_at":"2018-05-02T11:55:07Z","abstract_excerpt":"We present a unified translation of LTL formulas into deterministic Rabin automata, limit-deterministic B\\\"uchi automata, and nondeterministic B\\\"uchi automata. The translations yield automata of asymptotically optimal size (double or single exponential, respectively). All three translations are derived from one single Master Theorem of purely logical nature. The Master Theorem decomposes the language of a formula into a positive boolean combination of languages that can be translated into {\\omega}-automata by elementary means. In particular, Safra's, ranking, and breakpoint constructions used"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.00748","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":"2026-05-18T00:16:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2gc62HFBHdcy+GqEsectvjw3OplG2XkwoaYk12LgvTM/faPkbMbqKuo9wjsfuw3m3kQN2kbkU2gzXBItvam4Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T18:37:10.290739Z"},"content_sha256":"f79b8a2b67b3cae127ea5a9267c24362cf51244a8d2020ff06cba5a6c562c884","schema_version":"1.0","event_id":"sha256:f79b8a2b67b3cae127ea5a9267c24362cf51244a8d2020ff06cba5a6c562c884"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZCPAN6J2KGUI3OG7ECNA4ZFVKI/bundle.json","state_url":"https://pith.science/pith/ZCPAN6J2KGUI3OG7ECNA4ZFVKI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZCPAN6J2KGUI3OG7ECNA4ZFVKI/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":"2026-06-01T18:37:10Z","links":{"resolver":"https://pith.science/pith/ZCPAN6J2KGUI3OG7ECNA4ZFVKI","bundle":"https://pith.science/pith/ZCPAN6J2KGUI3OG7ECNA4ZFVKI/bundle.json","state":"https://pith.science/pith/ZCPAN6J2KGUI3OG7ECNA4ZFVKI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZCPAN6J2KGUI3OG7ECNA4ZFVKI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZCPAN6J2KGUI3OG7ECNA4ZFVKI","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":"fe965614452442da86c5847b1a32432f7a8e5674099e71a60a55e3c2bc893f2d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-05-02T11:55:07Z","title_canon_sha256":"a8a4d65875d15423f66cfffb7c9d3989a301214ae0ef265c1db47d276909b20f"},"schema_version":"1.0","source":{"id":"1805.00748","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.00748","created_at":"2026-05-18T00:16:57Z"},{"alias_kind":"arxiv_version","alias_value":"1805.00748v1","created_at":"2026-05-18T00:16:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.00748","created_at":"2026-05-18T00:16:57Z"},{"alias_kind":"pith_short_12","alias_value":"ZCPAN6J2KGUI","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"ZCPAN6J2KGUI3OG7","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"ZCPAN6J2","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:f79b8a2b67b3cae127ea5a9267c24362cf51244a8d2020ff06cba5a6c562c884","target":"graph","created_at":"2026-05-18T00:16:57Z","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 unified translation of LTL formulas into deterministic Rabin automata, limit-deterministic B\\\"uchi automata, and nondeterministic B\\\"uchi automata. The translations yield automata of asymptotically optimal size (double or single exponential, respectively). All three translations are derived from one single Master Theorem of purely logical nature. The Master Theorem decomposes the language of a formula into a positive boolean combination of languages that can be translated into {\\omega}-automata by elementary means. In particular, Safra's, ranking, and breakpoint constructions used","authors_text":"Jan Kretinsky, Javier Esparza, Salomon Sickert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-05-02T11:55:07Z","title":"One Theorem to Rule Them All: A Unified Translation of LTL into {\\omega}-Automata"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.00748","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":"sha256:2348a1efb608c5ef2cece7d00212e7c9e526c3c9fa757cb8015d407e774ce9eb","target":"record","created_at":"2026-05-18T00:16:57Z","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":"fe965614452442da86c5847b1a32432f7a8e5674099e71a60a55e3c2bc893f2d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-05-02T11:55:07Z","title_canon_sha256":"a8a4d65875d15423f66cfffb7c9d3989a301214ae0ef265c1db47d276909b20f"},"schema_version":"1.0","source":{"id":"1805.00748","kind":"arxiv","version":1}},"canonical_sha256":"c89e06f93a51a88db8df209a0e64b5521cd9201ecddd0c574244c4f08b29bfdd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c89e06f93a51a88db8df209a0e64b5521cd9201ecddd0c574244c4f08b29bfdd","first_computed_at":"2026-05-18T00:16:57.879608Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:57.879608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lPgSzqtr19Uxp3b5TD/TCUk0HesFOQyGEHEnX70+MKkYS7+Fb2tQR31/3ZZZSXCtvUpxHwp8QKO0X5IbA9n6AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:57.880508Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.00748","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2348a1efb608c5ef2cece7d00212e7c9e526c3c9fa757cb8015d407e774ce9eb","sha256:f79b8a2b67b3cae127ea5a9267c24362cf51244a8d2020ff06cba5a6c562c884"],"state_sha256":"c3163d591309efa31b5d7f7326a29eece17531e2bd5161176a128fcfde3165e5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GhxP9wMRQZqp/XalPMpALeN4hOVXKu8o5crRs24cv9rX+Z8i28BW+DLU7pVwphrTgYwWNN3NK95uIMoqaWSiBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T18:37:10.292718Z","bundle_sha256":"ced026b856c346490ee0628d27ceb5b2303bec00b862ebffdbfa3215e2aaeb5c"}}