{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:7TW5HODTXRS73ZI27AGA2RFEM6","short_pith_number":"pith:7TW5HODT","canonical_record":{"source":{"id":"1012.5059","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-12-22T17:58:02Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"b2ee45b1c6cb1e5c38a7b098470bc324782ab2d24948a6cd97e011387bc0beab","abstract_canon_sha256":"0cc65a7c2eeaa8414e55d69e3bd16a586a4eb76897024224c36811bce4d1d5cb"},"schema_version":"1.0"},"canonical_sha256":"fcedd3b873bc65fde51af80c0d44a4679a45362afb73303a95d961ec78080b53","source":{"kind":"arxiv","id":"1012.5059","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.5059","created_at":"2026-05-18T04:32:44Z"},{"alias_kind":"arxiv_version","alias_value":"1012.5059v1","created_at":"2026-05-18T04:32:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5059","created_at":"2026-05-18T04:32:44Z"},{"alias_kind":"pith_short_12","alias_value":"7TW5HODTXRS7","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"7TW5HODTXRS73ZI2","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"7TW5HODT","created_at":"2026-05-18T12:26:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:7TW5HODTXRS73ZI27AGA2RFEM6","target":"record","payload":{"canonical_record":{"source":{"id":"1012.5059","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-12-22T17:58:02Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"b2ee45b1c6cb1e5c38a7b098470bc324782ab2d24948a6cd97e011387bc0beab","abstract_canon_sha256":"0cc65a7c2eeaa8414e55d69e3bd16a586a4eb76897024224c36811bce4d1d5cb"},"schema_version":"1.0"},"canonical_sha256":"fcedd3b873bc65fde51af80c0d44a4679a45362afb73303a95d961ec78080b53","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:44.580488Z","signature_b64":"k/5+du8E6ik+Gf/MU3zF7MnnnVcbIsTtKw3MT+uhfEO1N0cVCPtxEBPeAQ4xxgzvkhuBjO1rubePy4i9OLAhBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fcedd3b873bc65fde51af80c0d44a4679a45362afb73303a95d961ec78080b53","last_reissued_at":"2026-05-18T04:32:44.579927Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:44.579927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.5059","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":"2026-05-18T04:32:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LzaNW2wMnlHEpgZCUiW59SqAtVRZ/jRG+hUr+SyTXCgwTjPjdLNfWJzxRxpqBxGN/+8IjVT/+leiFDNW1nL0AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:06:19.779915Z"},"content_sha256":"4e6e0a6decc3fb0fadadc3dc7eb22c99f6bbbd920f755992de0e5f8a424041c8","schema_version":"1.0","event_id":"sha256:4e6e0a6decc3fb0fadadc3dc7eb22c99f6bbbd920f755992de0e5f8a424041c8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:7TW5HODTXRS73ZI27AGA2RFEM6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Hoare-McCarthy algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"cs.LO","authors_text":"Alban Ponse, Jan A. Bergstra","submitted_at":"2010-12-22T17:58:02Z","abstract_excerpt":"We discuss an algebraic approach to propositional logic with side effects. To this end, we use Hoare's conditional [1985], which is a ternary connective comparable to if-then-else. Starting from McCarthy's notion of sequential evaluation [1963] we discuss a number of valuation congruences and we introduce Hoare-McCarthy algebras as the structures that characterize these congruences."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5059","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":"2026-05-18T04:32:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VmaS0y7Ox6eRNTHihqtgFzJdCqMmrCpHpw5k3V/L4qPYcvNmWXlGLD8tv76Ew7Xs8S/BUOPBurNUQsVZhztCAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:06:19.780254Z"},"content_sha256":"65fb5dfaa5d3eee83fbec484bc69d4769a2ded5c377dda0504837ba50649b3d3","schema_version":"1.0","event_id":"sha256:65fb5dfaa5d3eee83fbec484bc69d4769a2ded5c377dda0504837ba50649b3d3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7TW5HODTXRS73ZI27AGA2RFEM6/bundle.json","state_url":"https://pith.science/pith/7TW5HODTXRS73ZI27AGA2RFEM6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7TW5HODTXRS73ZI27AGA2RFEM6/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":"2026-06-02T08:06:19Z","links":{"resolver":"https://pith.science/pith/7TW5HODTXRS73ZI27AGA2RFEM6","bundle":"https://pith.science/pith/7TW5HODTXRS73ZI27AGA2RFEM6/bundle.json","state":"https://pith.science/pith/7TW5HODTXRS73ZI27AGA2RFEM6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7TW5HODTXRS73ZI27AGA2RFEM6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:7TW5HODTXRS73ZI27AGA2RFEM6","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":"0cc65a7c2eeaa8414e55d69e3bd16a586a4eb76897024224c36811bce4d1d5cb","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-12-22T17:58:02Z","title_canon_sha256":"b2ee45b1c6cb1e5c38a7b098470bc324782ab2d24948a6cd97e011387bc0beab"},"schema_version":"1.0","source":{"id":"1012.5059","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.5059","created_at":"2026-05-18T04:32:44Z"},{"alias_kind":"arxiv_version","alias_value":"1012.5059v1","created_at":"2026-05-18T04:32:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5059","created_at":"2026-05-18T04:32:44Z"},{"alias_kind":"pith_short_12","alias_value":"7TW5HODTXRS7","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"7TW5HODTXRS73ZI2","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"7TW5HODT","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:65fb5dfaa5d3eee83fbec484bc69d4769a2ded5c377dda0504837ba50649b3d3","target":"graph","created_at":"2026-05-18T04:32:44Z","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 discuss an algebraic approach to propositional logic with side effects. To this end, we use Hoare's conditional [1985], which is a ternary connective comparable to if-then-else. Starting from McCarthy's notion of sequential evaluation [1963] we discuss a number of valuation congruences and we introduce Hoare-McCarthy algebras as the structures that characterize these congruences.","authors_text":"Alban Ponse, Jan A. Bergstra","cross_cats":["math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-12-22T17:58:02Z","title":"On Hoare-McCarthy algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5059","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":"sha256:4e6e0a6decc3fb0fadadc3dc7eb22c99f6bbbd920f755992de0e5f8a424041c8","target":"record","created_at":"2026-05-18T04:32:44Z","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":"0cc65a7c2eeaa8414e55d69e3bd16a586a4eb76897024224c36811bce4d1d5cb","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2010-12-22T17:58:02Z","title_canon_sha256":"b2ee45b1c6cb1e5c38a7b098470bc324782ab2d24948a6cd97e011387bc0beab"},"schema_version":"1.0","source":{"id":"1012.5059","kind":"arxiv","version":1}},"canonical_sha256":"fcedd3b873bc65fde51af80c0d44a4679a45362afb73303a95d961ec78080b53","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fcedd3b873bc65fde51af80c0d44a4679a45362afb73303a95d961ec78080b53","first_computed_at":"2026-05-18T04:32:44.579927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:44.579927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k/5+du8E6ik+Gf/MU3zF7MnnnVcbIsTtKw3MT+uhfEO1N0cVCPtxEBPeAQ4xxgzvkhuBjO1rubePy4i9OLAhBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:44.580488Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.5059","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e6e0a6decc3fb0fadadc3dc7eb22c99f6bbbd920f755992de0e5f8a424041c8","sha256:65fb5dfaa5d3eee83fbec484bc69d4769a2ded5c377dda0504837ba50649b3d3"],"state_sha256":"020d67d225c6df866f57b48f8024662d26c84eea71726ef53925adc608f48b88"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r0KigqZFZucTNcAhAVnCB70RMs3F/k69hvr+JkfcIn5z4/AsiBG3xS7cGLYuSjUSSh6dThEd5r1vI9OfvQu7Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T08:06:19.782173Z","bundle_sha256":"f17e862bfeb17a05809fbb8d455479a6e943560700806c6530ecd06685bd7f1c"}}