{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:5JCURLSNH5TJ7FS73B27UIMG6H","short_pith_number":"pith:5JCURLSN","canonical_record":{"source":{"id":"cs/0612003","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cs.LO","submitted_at":"2006-12-01T19:56:11Z","cross_cats_sorted":["cs.PL","cs.SC"],"title_canon_sha256":"e6465c6a0ff89e91fb62db2572f46b061510a9ccc14b05836daae3533bf0252c","abstract_canon_sha256":"33a531b958c98a1288fb73d5cebb2bf9429941c81e460b6e6aebd628434da344"},"schema_version":"1.0"},"canonical_sha256":"ea4548ae4d3f669f965fd875fa2186f1d30c44a9279d1521adde454c1cc9e8f2","source":{"kind":"arxiv","id":"cs/0612003","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0612003","created_at":"2026-05-18T00:53:03Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0612003v2","created_at":"2026-05-18T00:53:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0612003","created_at":"2026-05-18T00:53:03Z"},{"alias_kind":"pith_short_12","alias_value":"5JCURLSNH5TJ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"5JCURLSNH5TJ7FS7","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"5JCURLSN","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:5JCURLSNH5TJ7FS73B27UIMG6H","target":"record","payload":{"canonical_record":{"source":{"id":"cs/0612003","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cs.LO","submitted_at":"2006-12-01T19:56:11Z","cross_cats_sorted":["cs.PL","cs.SC"],"title_canon_sha256":"e6465c6a0ff89e91fb62db2572f46b061510a9ccc14b05836daae3533bf0252c","abstract_canon_sha256":"33a531b958c98a1288fb73d5cebb2bf9429941c81e460b6e6aebd628434da344"},"schema_version":"1.0"},"canonical_sha256":"ea4548ae4d3f669f965fd875fa2186f1d30c44a9279d1521adde454c1cc9e8f2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:03.270520Z","signature_b64":"TotqROldgNqFLlp6dUy/uvEjqDz3iwvp1L9I7ePfl0ex8eVL0SwuSgBTDhv4rHQf9uDCTXml4xBBJZLs2y8WBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea4548ae4d3f669f965fd875fa2186f1d30c44a9279d1521adde454c1cc9e8f2","last_reissued_at":"2026-05-18T00:53:03.269942Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:03.269942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cs/0612003","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:53:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0/kdUw4drhGEh9vxHg7oDs6EYPR8i/b9uPAhBkiSauqJge9XZyLDYD2QSsjJpyElk6YzCROSmUAFzcWqrTkVCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T16:46:37.755367Z"},"content_sha256":"70fcebcd4236ffb4d291f75e1fcf512a6eed34a96ed5ec53bacb28363c0311b0","schema_version":"1.0","event_id":"sha256:70fcebcd4236ffb4d291f75e1fcf512a6eed34a96ed5ec53bacb28363c0311b0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:5JCURLSNH5TJ7FS73B27UIMG6H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Predicate Abstraction via Symbolic Decision Procedures","license":"","headline":"","cross_cats":["cs.PL","cs.SC"],"primary_cat":"cs.LO","authors_text":"Byron Cook, Shuvendu K. Lahiri, Thomas Ball","submitted_at":"2006-12-01T19:56:11Z","abstract_excerpt":"We present a new approach for performing predicate abstraction based on symbolic decision procedures. Intuitively, a symbolic decision procedure for a theory takes a set of predicates in the theory and symbolically executes a decision procedure on all the subsets over the set of predicates. The result of the symbolic decision procedure is a shared expression (represented by a directed acyclic graph) that implicitly represents the answer to a predicate abstraction query.\n  We present symbolic decision procedures for the logic of Equality and Uninterpreted Functions (EUF) and Difference logic (D"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0612003","kind":"arxiv","version":2},"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":"2026-05-18T00:53:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"avQxbknOhyzmyNx3yERr6fjoyTMN39boQay7PEpG5M0jaTvISsDHqIYxuMIQbVVshqmu6+FjmeRmhiXMbvpQDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T16:46:37.755741Z"},"content_sha256":"3b4a13888135e534673deead5bd0b1795a3aa84556578cbd5dac3350bc234782","schema_version":"1.0","event_id":"sha256:3b4a13888135e534673deead5bd0b1795a3aa84556578cbd5dac3350bc234782"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5JCURLSNH5TJ7FS73B27UIMG6H/bundle.json","state_url":"https://pith.science/pith/5JCURLSNH5TJ7FS73B27UIMG6H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5JCURLSNH5TJ7FS73B27UIMG6H/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":"2026-06-26T16:46:37Z","links":{"resolver":"https://pith.science/pith/5JCURLSNH5TJ7FS73B27UIMG6H","bundle":"https://pith.science/pith/5JCURLSNH5TJ7FS73B27UIMG6H/bundle.json","state":"https://pith.science/pith/5JCURLSNH5TJ7FS73B27UIMG6H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5JCURLSNH5TJ7FS73B27UIMG6H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:5JCURLSNH5TJ7FS73B27UIMG6H","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":"33a531b958c98a1288fb73d5cebb2bf9429941c81e460b6e6aebd628434da344","cross_cats_sorted":["cs.PL","cs.SC"],"license":"","primary_cat":"cs.LO","submitted_at":"2006-12-01T19:56:11Z","title_canon_sha256":"e6465c6a0ff89e91fb62db2572f46b061510a9ccc14b05836daae3533bf0252c"},"schema_version":"1.0","source":{"id":"cs/0612003","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0612003","created_at":"2026-05-18T00:53:03Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0612003v2","created_at":"2026-05-18T00:53:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0612003","created_at":"2026-05-18T00:53:03Z"},{"alias_kind":"pith_short_12","alias_value":"5JCURLSNH5TJ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"5JCURLSNH5TJ7FS7","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"5JCURLSN","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:3b4a13888135e534673deead5bd0b1795a3aa84556578cbd5dac3350bc234782","target":"graph","created_at":"2026-05-18T00:53:03Z","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 new approach for performing predicate abstraction based on symbolic decision procedures. Intuitively, a symbolic decision procedure for a theory takes a set of predicates in the theory and symbolically executes a decision procedure on all the subsets over the set of predicates. The result of the symbolic decision procedure is a shared expression (represented by a directed acyclic graph) that implicitly represents the answer to a predicate abstraction query.\n  We present symbolic decision procedures for the logic of Equality and Uninterpreted Functions (EUF) and Difference logic (D","authors_text":"Byron Cook, Shuvendu K. Lahiri, Thomas Ball","cross_cats":["cs.PL","cs.SC"],"headline":"","license":"","primary_cat":"cs.LO","submitted_at":"2006-12-01T19:56:11Z","title":"Predicate Abstraction via Symbolic Decision Procedures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0612003","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":"sha256:70fcebcd4236ffb4d291f75e1fcf512a6eed34a96ed5ec53bacb28363c0311b0","target":"record","created_at":"2026-05-18T00:53:03Z","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":"33a531b958c98a1288fb73d5cebb2bf9429941c81e460b6e6aebd628434da344","cross_cats_sorted":["cs.PL","cs.SC"],"license":"","primary_cat":"cs.LO","submitted_at":"2006-12-01T19:56:11Z","title_canon_sha256":"e6465c6a0ff89e91fb62db2572f46b061510a9ccc14b05836daae3533bf0252c"},"schema_version":"1.0","source":{"id":"cs/0612003","kind":"arxiv","version":2}},"canonical_sha256":"ea4548ae4d3f669f965fd875fa2186f1d30c44a9279d1521adde454c1cc9e8f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea4548ae4d3f669f965fd875fa2186f1d30c44a9279d1521adde454c1cc9e8f2","first_computed_at":"2026-05-18T00:53:03.269942Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:03.269942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TotqROldgNqFLlp6dUy/uvEjqDz3iwvp1L9I7ePfl0ex8eVL0SwuSgBTDhv4rHQf9uDCTXml4xBBJZLs2y8WBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:03.270520Z","signed_message":"canonical_sha256_bytes"},"source_id":"cs/0612003","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70fcebcd4236ffb4d291f75e1fcf512a6eed34a96ed5ec53bacb28363c0311b0","sha256:3b4a13888135e534673deead5bd0b1795a3aa84556578cbd5dac3350bc234782"],"state_sha256":"ec3b07f0fd411239c42cbaa232427c27c96701a6a1a0fe8365fdc4011b3c5eef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yijpBXjo+rB3xMs/cG6l/hs4PXuCWAUAheqMHDEXBR+xoXSYv4/l75ieiicav2d6YKNpeRJiJekyLxduQWXlBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T16:46:37.757930Z","bundle_sha256":"311bcc048a5cb25eb775759c81cb683bf039ac74fe249248f968a591d74fc57a"}}