{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:Z4H3MJIHK2RXMDQTPYB66JFAX2","short_pith_number":"pith:Z4H3MJIH","canonical_record":{"source":{"id":"1405.6939","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-05-27T14:53:36Z","cross_cats_sorted":[],"title_canon_sha256":"dd3b117264042753940becacf3293c7100d4878fb37fb646f883e5e7015750b4","abstract_canon_sha256":"91f0e515e981bd5efe5261e9acd819785287ec8662be09524f635fe184219719"},"schema_version":"1.0"},"canonical_sha256":"cf0fb6250756a3760e137e03ef24a0be8ea64482601c24bf0590a31eb0f206ee","source":{"kind":"arxiv","id":"1405.6939","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.6939","created_at":"2026-05-18T02:51:00Z"},{"alias_kind":"arxiv_version","alias_value":"1405.6939v1","created_at":"2026-05-18T02:51:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.6939","created_at":"2026-05-18T02:51:00Z"},{"alias_kind":"pith_short_12","alias_value":"Z4H3MJIHK2RX","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z4H3MJIHK2RXMDQT","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z4H3MJIH","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:Z4H3MJIHK2RXMDQTPYB66JFAX2","target":"record","payload":{"canonical_record":{"source":{"id":"1405.6939","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-05-27T14:53:36Z","cross_cats_sorted":[],"title_canon_sha256":"dd3b117264042753940becacf3293c7100d4878fb37fb646f883e5e7015750b4","abstract_canon_sha256":"91f0e515e981bd5efe5261e9acd819785287ec8662be09524f635fe184219719"},"schema_version":"1.0"},"canonical_sha256":"cf0fb6250756a3760e137e03ef24a0be8ea64482601c24bf0590a31eb0f206ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:00.068408Z","signature_b64":"vd1UXhEpKLAoETdlZUw5opf+CRED57ezQEKSQRCESIEzFt38Bb6XGdD5f//ARroTWLLDcXHzi3HWKAGT/ctWAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf0fb6250756a3760e137e03ef24a0be8ea64482601c24bf0590a31eb0f206ee","last_reissued_at":"2026-05-18T02:51:00.067945Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:00.067945Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.6939","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":"2026-05-18T02:51:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sVCv/fL9mY7BPymOIJU5emOct9JjLHhxTwUBmWm0Inc+QUAEum58YS5KgyfqN5bQEMKhCCn+4HevJdJNhDVtBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:13:40.631818Z"},"content_sha256":"705ef64539664974ab6990ad2c3d3ba92e864f67676da737d4f55b9f968caa6f","schema_version":"1.0","event_id":"sha256:705ef64539664974ab6990ad2c3d3ba92e864f67676da737d4f55b9f968caa6f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:Z4H3MJIHK2RXMDQTPYB66JFAX2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weakly Equivalent Arrays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Jochen Hoenicke, J\\\"urgen Christ","submitted_at":"2014-05-27T14:53:36Z","abstract_excerpt":"The (extensional) theory of arrays is widely used to model systems. Hence, efficient decision procedures are needed to model check such systems. Current decision procedures for the theory of arrays saturate the read-over-write and extensionality axioms originally proposed by McCarthy. Various filters are used to limit the number of axiom instantiations while preserving completeness. We present an algorithm that lazily instantiates lemmas based on weak equivalence classes. These lemmas are easier to interpolate as they only contain existing terms. We formally define weak equivalence and show co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6939","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":"2026-05-18T02:51:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GXtt2QG3pmedk17+B6Hged10eLGf3Iw5zb9Vfwgggh5y1gusTOyDXhS6Tw8qUMRn2FxJ1+8TU2OwcT8zYaZaBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:13:40.632155Z"},"content_sha256":"15c3359d4a53688e67eb2b268ff18b4a921a9775d126b507c1c9fe9adf833115","schema_version":"1.0","event_id":"sha256:15c3359d4a53688e67eb2b268ff18b4a921a9775d126b507c1c9fe9adf833115"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z4H3MJIHK2RXMDQTPYB66JFAX2/bundle.json","state_url":"https://pith.science/pith/Z4H3MJIHK2RXMDQTPYB66JFAX2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z4H3MJIHK2RXMDQTPYB66JFAX2/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":"2026-06-08T23:13:40Z","links":{"resolver":"https://pith.science/pith/Z4H3MJIHK2RXMDQTPYB66JFAX2","bundle":"https://pith.science/pith/Z4H3MJIHK2RXMDQTPYB66JFAX2/bundle.json","state":"https://pith.science/pith/Z4H3MJIHK2RXMDQTPYB66JFAX2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z4H3MJIHK2RXMDQTPYB66JFAX2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:Z4H3MJIHK2RXMDQTPYB66JFAX2","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":"91f0e515e981bd5efe5261e9acd819785287ec8662be09524f635fe184219719","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-05-27T14:53:36Z","title_canon_sha256":"dd3b117264042753940becacf3293c7100d4878fb37fb646f883e5e7015750b4"},"schema_version":"1.0","source":{"id":"1405.6939","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.6939","created_at":"2026-05-18T02:51:00Z"},{"alias_kind":"arxiv_version","alias_value":"1405.6939v1","created_at":"2026-05-18T02:51:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.6939","created_at":"2026-05-18T02:51:00Z"},{"alias_kind":"pith_short_12","alias_value":"Z4H3MJIHK2RX","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z4H3MJIHK2RXMDQT","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z4H3MJIH","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:15c3359d4a53688e67eb2b268ff18b4a921a9775d126b507c1c9fe9adf833115","target":"graph","created_at":"2026-05-18T02:51:00Z","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":"The (extensional) theory of arrays is widely used to model systems. Hence, efficient decision procedures are needed to model check such systems. Current decision procedures for the theory of arrays saturate the read-over-write and extensionality axioms originally proposed by McCarthy. Various filters are used to limit the number of axiom instantiations while preserving completeness. We present an algorithm that lazily instantiates lemmas based on weak equivalence classes. These lemmas are easier to interpolate as they only contain existing terms. We formally define weak equivalence and show co","authors_text":"Jochen Hoenicke, J\\\"urgen Christ","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-05-27T14:53:36Z","title":"Weakly Equivalent Arrays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6939","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":"sha256:705ef64539664974ab6990ad2c3d3ba92e864f67676da737d4f55b9f968caa6f","target":"record","created_at":"2026-05-18T02:51:00Z","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":"91f0e515e981bd5efe5261e9acd819785287ec8662be09524f635fe184219719","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-05-27T14:53:36Z","title_canon_sha256":"dd3b117264042753940becacf3293c7100d4878fb37fb646f883e5e7015750b4"},"schema_version":"1.0","source":{"id":"1405.6939","kind":"arxiv","version":1}},"canonical_sha256":"cf0fb6250756a3760e137e03ef24a0be8ea64482601c24bf0590a31eb0f206ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf0fb6250756a3760e137e03ef24a0be8ea64482601c24bf0590a31eb0f206ee","first_computed_at":"2026-05-18T02:51:00.067945Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:00.067945Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vd1UXhEpKLAoETdlZUw5opf+CRED57ezQEKSQRCESIEzFt38Bb6XGdD5f//ARroTWLLDcXHzi3HWKAGT/ctWAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:00.068408Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.6939","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:705ef64539664974ab6990ad2c3d3ba92e864f67676da737d4f55b9f968caa6f","sha256:15c3359d4a53688e67eb2b268ff18b4a921a9775d126b507c1c9fe9adf833115"],"state_sha256":"4b0682f872eab2a0f289b387494dd9aabb9c4f3610bda532fae19d71169225e8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r3a5HGdRedpXAFYNccLXq1+Qdpj6o+uRv9TcxGgp8j+VDUSuLq9aRLjWT6IBoKz8/ZqW6fDylYOtuynBXqgMBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T23:13:40.634105Z","bundle_sha256":"3a1741a275d3dede8605c9877dfc003a6431b824e6f79ca55cbc13f0d4b5510b"}}