{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:VT76KC5J5BGUZT4NAPNDWF3XQW","short_pith_number":"pith:VT76KC5J","schema_version":"1.0","canonical_sha256":"acffe50ba9e84d4ccf8d03da3b17778599fa1b71fd6978f956a3f3ab928861e9","source":{"kind":"arxiv","id":"1204.4250","version":1},"attestation_state":"computed","paper":{"title":"Conditional Fault Diagnosis of Bubble Sort Graphs under the PMC Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM"],"primary_cat":"math.CO","authors_text":"Jian Wang, Jun-Ming Xu, Shuming Zhou, Xirong Xu","submitted_at":"2012-04-19T05:06:19Z","abstract_excerpt":"As the size of a multiprocessor system increases, processor failure is inevitable, and fault identification in such a system is crucial for reliable computing. The fault diagnosis is the process of identifying faulty processors in a multiprocessor system through testing. For the practical fault diagnosis systems, the probability that all neighboring processors of a processor are faulty simultaneously is very small, and the conditional diagnosability, which is a new metric for evaluating fault tolerance of such systems, assumes that every faulty set does not contain all neighbors of any process"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1204.4250","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-04-19T05:06:19Z","cross_cats_sorted":["cs.DM"],"title_canon_sha256":"61b341bcb4e0b093a64ed03b98a3bb8c20e54b689818c25f18dc9ababd7ea42e","abstract_canon_sha256":"3f4d6e18be20e70bcab1ad05d10b0ab475c2ee2269b9a6e33997a95ba5ef4ed4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:28.036292Z","signature_b64":"22l44sug4TAQDPcyb5G7WkKR2NIFzZt6sJOjmc9KwUpe6ac2mfePG/5XaYmcSCupxrx47N9FKWxHhz5zhlCXBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"acffe50ba9e84d4ccf8d03da3b17778599fa1b71fd6978f956a3f3ab928861e9","last_reissued_at":"2026-05-18T03:57:28.034668Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:28.034668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conditional Fault Diagnosis of Bubble Sort Graphs under the PMC Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM"],"primary_cat":"math.CO","authors_text":"Jian Wang, Jun-Ming Xu, Shuming Zhou, Xirong Xu","submitted_at":"2012-04-19T05:06:19Z","abstract_excerpt":"As the size of a multiprocessor system increases, processor failure is inevitable, and fault identification in such a system is crucial for reliable computing. The fault diagnosis is the process of identifying faulty processors in a multiprocessor system through testing. For the practical fault diagnosis systems, the probability that all neighboring processors of a processor are faulty simultaneously is very small, and the conditional diagnosability, which is a new metric for evaluating fault tolerance of such systems, assumes that every faulty set does not contain all neighbors of any process"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.4250","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1204.4250","created_at":"2026-05-18T03:57:28.034795+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.4250v1","created_at":"2026-05-18T03:57:28.034795+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.4250","created_at":"2026-05-18T03:57:28.034795+00:00"},{"alias_kind":"pith_short_12","alias_value":"VT76KC5J5BGU","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_16","alias_value":"VT76KC5J5BGUZT4N","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_8","alias_value":"VT76KC5J","created_at":"2026-05-18T12:27:25.539911+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VT76KC5J5BGUZT4NAPNDWF3XQW","json":"https://pith.science/pith/VT76KC5J5BGUZT4NAPNDWF3XQW.json","graph_json":"https://pith.science/api/pith-number/VT76KC5J5BGUZT4NAPNDWF3XQW/graph.json","events_json":"https://pith.science/api/pith-number/VT76KC5J5BGUZT4NAPNDWF3XQW/events.json","paper":"https://pith.science/paper/VT76KC5J"},"agent_actions":{"view_html":"https://pith.science/pith/VT76KC5J5BGUZT4NAPNDWF3XQW","download_json":"https://pith.science/pith/VT76KC5J5BGUZT4NAPNDWF3XQW.json","view_paper":"https://pith.science/paper/VT76KC5J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.4250&json=true","fetch_graph":"https://pith.science/api/pith-number/VT76KC5J5BGUZT4NAPNDWF3XQW/graph.json","fetch_events":"https://pith.science/api/pith-number/VT76KC5J5BGUZT4NAPNDWF3XQW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VT76KC5J5BGUZT4NAPNDWF3XQW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VT76KC5J5BGUZT4NAPNDWF3XQW/action/storage_attestation","attest_author":"https://pith.science/pith/VT76KC5J5BGUZT4NAPNDWF3XQW/action/author_attestation","sign_citation":"https://pith.science/pith/VT76KC5J5BGUZT4NAPNDWF3XQW/action/citation_signature","submit_replication":"https://pith.science/pith/VT76KC5J5BGUZT4NAPNDWF3XQW/action/replication_record"}},"created_at":"2026-05-18T03:57:28.034795+00:00","updated_at":"2026-05-18T03:57:28.034795+00:00"}