{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:B2VV6RIC65P2IPWBGDPOZCKSBV","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":"b8655cbbbeca25e4b6bd599611e779dcd1551cca70dffc33bb366e60fddea5a9","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2023-09-16T04:54:18Z","title_canon_sha256":"55649883862ea0176e4c9f9c4639e5998fc5c28cc81155e299707e9811798449"},"schema_version":"1.0","source":{"id":"2309.08875","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.08875","created_at":"2026-07-05T06:51:30Z"},{"alias_kind":"arxiv_version","alias_value":"2309.08875v1","created_at":"2026-07-05T06:51:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.08875","created_at":"2026-07-05T06:51:30Z"},{"alias_kind":"pith_short_12","alias_value":"B2VV6RIC65P2","created_at":"2026-07-05T06:51:30Z"},{"alias_kind":"pith_short_16","alias_value":"B2VV6RIC65P2IPWB","created_at":"2026-07-05T06:51:30Z"},{"alias_kind":"pith_short_8","alias_value":"B2VV6RIC","created_at":"2026-07-05T06:51:30Z"}],"graph_snapshots":[{"event_id":"sha256:4e869d9bebe5039368a86e1ea7ed294b0ff90c3a5fc340bddcea42d1f836d445","target":"graph","created_at":"2026-07-05T06:51:30Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2309.08875/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present the algebra of assume-guarantee (AG) contracts. We define contracts, provide new as well as known operations, and show how these operations are related. Contracts are functorial: any Boolean algebra has an associated contract algebra. We study monoid and semiring structures in contract algebra -- and the mappings between such structures. We discuss the actions of a Boolean algebra on its contract algebra.","authors_text":"Albert Benveniste, Alberto Sangiovanni-Vincentelli, Inigo Incer","cross_cats":["cs.SY","eess.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2023-09-16T04:54:18Z","title":"Some Algebraic Aspects of Assume-Guarantee Reasoning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.08875","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:e215d38753cdf0b539714c6e7f9d736e9437e4445fdafb072d173228d2a01a63","target":"record","created_at":"2026-07-05T06:51:30Z","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":"b8655cbbbeca25e4b6bd599611e779dcd1551cca70dffc33bb366e60fddea5a9","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2023-09-16T04:54:18Z","title_canon_sha256":"55649883862ea0176e4c9f9c4639e5998fc5c28cc81155e299707e9811798449"},"schema_version":"1.0","source":{"id":"2309.08875","kind":"arxiv","version":1}},"canonical_sha256":"0eab5f4502f75fa43ec130deec89520d746ac252016d35a9de2e68e579f6aa86","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0eab5f4502f75fa43ec130deec89520d746ac252016d35a9de2e68e579f6aa86","first_computed_at":"2026-07-05T06:51:30.866033Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:51:30.866033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7/hv6C647/D4Em43ghETLCf9Hs5NoLaZA0LaTVW8JWgaNG4XnnX64xtaQOFpzq670c/u3FXXN/BFgeFoNTGIAw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:51:30.866509Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.08875","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e215d38753cdf0b539714c6e7f9d736e9437e4445fdafb072d173228d2a01a63","sha256:4e869d9bebe5039368a86e1ea7ed294b0ff90c3a5fc340bddcea42d1f836d445"],"state_sha256":"441a5753e8768678cc61f9cac3c6ac07678daeec39bc477f9e5fd6572d159ae0"}