{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EPMAV2TA5U6RCEXR5BXSDHGW7W","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":"4d7017e708d5d52e3207e47d7753151b3072fa5a8a1a567d7cf748214a58fdb4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-10-22T09:22:16Z","title_canon_sha256":"c52cba28d12acc625351b46e62b1077edde20b88fdc228f940e82d6142bcb504"},"schema_version":"1.0","source":{"id":"1810.09146","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.09146","created_at":"2026-05-18T00:00:34Z"},{"alias_kind":"arxiv_version","alias_value":"1810.09146v2","created_at":"2026-05-18T00:00:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.09146","created_at":"2026-05-18T00:00:34Z"},{"alias_kind":"pith_short_12","alias_value":"EPMAV2TA5U6R","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EPMAV2TA5U6RCEXR","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EPMAV2TA","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:55914ca691a1427af7dec4ea1c8377497959481948193f2a47dc9ce5fc8d1b58","target":"graph","created_at":"2026-05-18T00:00:34Z","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 introduce notions of simulation between semiring-weighted automata as models of quantitative systems. Our simulations are instances of the categorical/coalgebraic notions previously studied by Hasuo---hence soundness against language inclusion comes for free---but are concretely presented as matrices that are subject to linear inequality constraints. Pervasiveness of these formalisms allows us to exploit existing algorithms in: searching for a simulation, and hence verifying quantitative correctness that is formulated as language inclusion. Transformations of automata that aid search for si","authors_text":"Ichiro Hasuo, Natsuki Urabe","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-10-22T09:22:16Z","title":"Quantitative Simulations by Matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.09146","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":"sha256:9b89168254af3d722016158468fb21886042a7f4af3271dae20372d47fa7a674","target":"record","created_at":"2026-05-18T00:00:34Z","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":"4d7017e708d5d52e3207e47d7753151b3072fa5a8a1a567d7cf748214a58fdb4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-10-22T09:22:16Z","title_canon_sha256":"c52cba28d12acc625351b46e62b1077edde20b88fdc228f940e82d6142bcb504"},"schema_version":"1.0","source":{"id":"1810.09146","kind":"arxiv","version":2}},"canonical_sha256":"23d80aea60ed3d1112f1e86f219cd6fd9c959b34f39631c6f444825cc24155ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23d80aea60ed3d1112f1e86f219cd6fd9c959b34f39631c6f444825cc24155ab","first_computed_at":"2026-05-18T00:00:34.689221Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:34.689221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XGxlctetIEOsuWGqoUOWS4tpqP4KVAuUoldSOVDfXODKB4qtrNG8k9Q+cYZkGZXzAOdz2AA4BN1IDqPgshPxCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:34.689665Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.09146","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b89168254af3d722016158468fb21886042a7f4af3271dae20372d47fa7a674","sha256:55914ca691a1427af7dec4ea1c8377497959481948193f2a47dc9ce5fc8d1b58"],"state_sha256":"d87037a9f069f255db5d7b384bfce0acb56e37d37e4f5200fbc8cfd9f90faa2d"}