{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:TOLHYZPWFTUWOPWBYHZWHI37BX","short_pith_number":"pith:TOLHYZPW","canonical_record":{"source":{"id":"1908.01930","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-08-06T02:13:34Z","cross_cats_sorted":[],"title_canon_sha256":"3a02739b68aef92e4eb488c229377531700e94228f517c4212626a7913e26982","abstract_canon_sha256":"34e74eef2628305e779e0494e7713b7790ffa5046b7d8f122465732544b0ead1"},"schema_version":"1.0"},"canonical_sha256":"9b967c65f62ce9673ec1c1f363a37f0dc06cca5663d800ad9c4ef2c30554b08b","source":{"kind":"arxiv","id":"1908.01930","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.01930","created_at":"2026-07-04T23:51:49Z"},{"alias_kind":"arxiv_version","alias_value":"1908.01930v1","created_at":"2026-07-04T23:51:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.01930","created_at":"2026-07-04T23:51:49Z"},{"alias_kind":"pith_short_12","alias_value":"TOLHYZPWFTUW","created_at":"2026-07-04T23:51:49Z"},{"alias_kind":"pith_short_16","alias_value":"TOLHYZPWFTUWOPWB","created_at":"2026-07-04T23:51:49Z"},{"alias_kind":"pith_short_8","alias_value":"TOLHYZPW","created_at":"2026-07-04T23:51:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:TOLHYZPWFTUWOPWBYHZWHI37BX","target":"record","payload":{"canonical_record":{"source":{"id":"1908.01930","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-08-06T02:13:34Z","cross_cats_sorted":[],"title_canon_sha256":"3a02739b68aef92e4eb488c229377531700e94228f517c4212626a7913e26982","abstract_canon_sha256":"34e74eef2628305e779e0494e7713b7790ffa5046b7d8f122465732544b0ead1"},"schema_version":"1.0"},"canonical_sha256":"9b967c65f62ce9673ec1c1f363a37f0dc06cca5663d800ad9c4ef2c30554b08b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:51:49.485669Z","signature_b64":"DjGDTl/i4uK6GoIb0PPlWnMk3/tcvVLUDkxJaZCQ4XJbwbVH0PBJqylm6vy/vVleLQpvPRu85TAnOCkpT6DhAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b967c65f62ce9673ec1c1f363a37f0dc06cca5663d800ad9c4ef2c30554b08b","last_reissued_at":"2026-07-04T23:51:49.485253Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:51:49.485253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.01930","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":"2026-07-04T23:51:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ujV5oDKy1pT+n0OCjbpbt3QTRtvsUA4B1rV57RLEtrRYfIg+pPaXHKsLb+qrp534IzfuDCM88WsAd9ci9iFaCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T18:28:47.990993Z"},"content_sha256":"8dff0fd2e0dfdcaf6596ab10c38abe3b55892eea271e2c1d0367b827f61facee","schema_version":"1.0","event_id":"sha256:8dff0fd2e0dfdcaf6596ab10c38abe3b55892eea271e2c1d0367b827f61facee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:TOLHYZPWFTUWOPWBYHZWHI37BX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Formally Verified HOL Algebra for Dynamic Reliability Block Diagrams","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Osman Hasan, Sofiene Tahar, Yassmeen Elderhalli","submitted_at":"2019-08-06T02:13:34Z","abstract_excerpt":"Dynamic reliability block diagrams (DRBDs) are introduced to overcome the modeling limitations of traditional reliability block diagrams, such as the inability to capture redundant components. However, so far there is no algebraic framework that allows conducting the analysis of a given DRBD based on its structure function and enables verifying its soundness using higher-order logic (HOL) theorem proving. In this work, we propose a new algebra to formally express the structure function and the reliability of a DRBD with spare constructs based on basic system blocks and newly introduced DRBD op"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.01930","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.01930/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T23:51:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uOseHr/2QkcDaqLX4RLoTpY/WK84X2GZDRycSNejIndltJvV+CJl4cskJywvK9/pQfBbyxLeJoh+vsCatFc0Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T18:28:47.991551Z"},"content_sha256":"de53d45db10439afc016bd0aa172c672654f3854643f7ac34a3fa02a0240ce18","schema_version":"1.0","event_id":"sha256:de53d45db10439afc016bd0aa172c672654f3854643f7ac34a3fa02a0240ce18"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TOLHYZPWFTUWOPWBYHZWHI37BX/bundle.json","state_url":"https://pith.science/pith/TOLHYZPWFTUWOPWBYHZWHI37BX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TOLHYZPWFTUWOPWBYHZWHI37BX/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":"2026-08-16T18:28:47Z","links":{"resolver":"https://pith.science/pith/TOLHYZPWFTUWOPWBYHZWHI37BX","bundle":"https://pith.science/pith/TOLHYZPWFTUWOPWBYHZWHI37BX/bundle.json","state":"https://pith.science/pith/TOLHYZPWFTUWOPWBYHZWHI37BX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TOLHYZPWFTUWOPWBYHZWHI37BX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:TOLHYZPWFTUWOPWBYHZWHI37BX","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":"34e74eef2628305e779e0494e7713b7790ffa5046b7d8f122465732544b0ead1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-08-06T02:13:34Z","title_canon_sha256":"3a02739b68aef92e4eb488c229377531700e94228f517c4212626a7913e26982"},"schema_version":"1.0","source":{"id":"1908.01930","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.01930","created_at":"2026-07-04T23:51:49Z"},{"alias_kind":"arxiv_version","alias_value":"1908.01930v1","created_at":"2026-07-04T23:51:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.01930","created_at":"2026-07-04T23:51:49Z"},{"alias_kind":"pith_short_12","alias_value":"TOLHYZPWFTUW","created_at":"2026-07-04T23:51:49Z"},{"alias_kind":"pith_short_16","alias_value":"TOLHYZPWFTUWOPWB","created_at":"2026-07-04T23:51:49Z"},{"alias_kind":"pith_short_8","alias_value":"TOLHYZPW","created_at":"2026-07-04T23:51:49Z"}],"graph_snapshots":[{"event_id":"sha256:de53d45db10439afc016bd0aa172c672654f3854643f7ac34a3fa02a0240ce18","target":"graph","created_at":"2026-07-04T23:51:49Z","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/1908.01930/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Dynamic reliability block diagrams (DRBDs) are introduced to overcome the modeling limitations of traditional reliability block diagrams, such as the inability to capture redundant components. However, so far there is no algebraic framework that allows conducting the analysis of a given DRBD based on its structure function and enables verifying its soundness using higher-order logic (HOL) theorem proving. In this work, we propose a new algebra to formally express the structure function and the reliability of a DRBD with spare constructs based on basic system blocks and newly introduced DRBD op","authors_text":"Osman Hasan, Sofiene Tahar, Yassmeen Elderhalli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-08-06T02:13:34Z","title":"A Formally Verified HOL Algebra for Dynamic Reliability Block Diagrams"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.01930","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":"sha256:8dff0fd2e0dfdcaf6596ab10c38abe3b55892eea271e2c1d0367b827f61facee","target":"record","created_at":"2026-07-04T23:51:49Z","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":"34e74eef2628305e779e0494e7713b7790ffa5046b7d8f122465732544b0ead1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-08-06T02:13:34Z","title_canon_sha256":"3a02739b68aef92e4eb488c229377531700e94228f517c4212626a7913e26982"},"schema_version":"1.0","source":{"id":"1908.01930","kind":"arxiv","version":1}},"canonical_sha256":"9b967c65f62ce9673ec1c1f363a37f0dc06cca5663d800ad9c4ef2c30554b08b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b967c65f62ce9673ec1c1f363a37f0dc06cca5663d800ad9c4ef2c30554b08b","first_computed_at":"2026-07-04T23:51:49.485253Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:51:49.485253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DjGDTl/i4uK6GoIb0PPlWnMk3/tcvVLUDkxJaZCQ4XJbwbVH0PBJqylm6vy/vVleLQpvPRu85TAnOCkpT6DhAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T23:51:49.485669Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.01930","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8dff0fd2e0dfdcaf6596ab10c38abe3b55892eea271e2c1d0367b827f61facee","sha256:de53d45db10439afc016bd0aa172c672654f3854643f7ac34a3fa02a0240ce18"],"state_sha256":"caadddcf8b4fa7eac9d9b7ed01a7fc3824bacb76b9963fac882cf00b0b280cb5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EICPo3y8Q7KrgRKN+S2wihWoBE29XiPtGNVcHwHS8013tyraEzUyxdV0MSahXF1dAB9nsHwJNd2JBWU+xC3eAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T18:28:47.996286Z","bundle_sha256":"f672ca7c6d4bfdf6265d3592809acd02104ca5965b73e03c5e12121b37d365e6"}}