{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:S5RWLABIA4WDWBQAEVYCKTLRF3","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":"0439a9fbbec93309b2a74078ea1d3213c914183245028e14940fc9b9ea26be3a","cross_cats_sorted":["cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-03-22T14:42:11Z","title_canon_sha256":"16e94205e3e8a5fe173af2bac2cd1dc97df646aaa479506b2d56833f8695a091"},"schema_version":"1.0","source":{"id":"1703.07682","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.07682","created_at":"2026-05-18T00:46:12Z"},{"alias_kind":"arxiv_version","alias_value":"1703.07682v2","created_at":"2026-05-18T00:46:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.07682","created_at":"2026-05-18T00:46:12Z"},{"alias_kind":"pith_short_12","alias_value":"S5RWLABIA4WD","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"S5RWLABIA4WDWBQA","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"S5RWLABI","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:d3125b0ba0cc065c7e330383e2e9971270e81d2c742984c5b0e605e290c37197","target":"graph","created_at":"2026-05-18T00:46:12Z","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 weakest-precondition-style calculus for reasoning about the expected values (pre-expectations) of \\emph{mixed-sign unbounded} random variables after execution of a probabilistic program. The semantics of a while-loop is well-defined as the limit of iteratively applying a functional to a zero-element just as in the traditional weakest pre-expectation calculus, even though a standard least fixed point argument is not applicable in this context. A striking feature of our semantics is that it is always well-defined, even if the expected values do not exist. We show that the calculus i","authors_text":"Benjamin Lucien Kaminski, Joost-Pieter Katoen","cross_cats":["cs.PL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-03-22T14:42:11Z","title":"A Weakest Pre-Expectation Semantics for Mixed-Sign Expectations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07682","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:bc65bf6f78fe0052dbbfd69b676d5f3fc667b551a3fcf13938629f3cdf535d87","target":"record","created_at":"2026-05-18T00:46:12Z","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":"0439a9fbbec93309b2a74078ea1d3213c914183245028e14940fc9b9ea26be3a","cross_cats_sorted":["cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-03-22T14:42:11Z","title_canon_sha256":"16e94205e3e8a5fe173af2bac2cd1dc97df646aaa479506b2d56833f8695a091"},"schema_version":"1.0","source":{"id":"1703.07682","kind":"arxiv","version":2}},"canonical_sha256":"9763658028072c3b06002570254d712ed898d100cf170d0305b2383d5918fcc6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9763658028072c3b06002570254d712ed898d100cf170d0305b2383d5918fcc6","first_computed_at":"2026-05-18T00:46:12.146971Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:12.146971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"420fDwX0bprRWPK1zjeq/8X5LfbRoFsE2TDGEMbVuG5/Ka5dQxVDXj/5sUhiPPeCpl1Y7M/kn1ai2LtGndiXAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:12.147484Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.07682","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc65bf6f78fe0052dbbfd69b676d5f3fc667b551a3fcf13938629f3cdf535d87","sha256:d3125b0ba0cc065c7e330383e2e9971270e81d2c742984c5b0e605e290c37197"],"state_sha256":"616e0b5b388af1c7bc5ca3f258f70eb84f5f642a374e29365e873b28a6c45f40"}