{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:HBPEB52QVLOLL4UPUCZTO6OHSJ","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":"9976bc96ff97474f32980ab312769a6e111b7a0fdb4bcc133ecab6f506337acc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2021-06-30T17:13:42Z","title_canon_sha256":"32d6acb4e597b24593d0ac6746713a45b149505debb2969e79bcb10f765cca2a"},"schema_version":"1.0","source":{"id":"2107.05455","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.05455","created_at":"2026-07-05T06:23:33Z"},{"alias_kind":"arxiv_version","alias_value":"2107.05455v3","created_at":"2026-07-05T06:23:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.05455","created_at":"2026-07-05T06:23:33Z"},{"alias_kind":"pith_short_12","alias_value":"HBPEB52QVLOL","created_at":"2026-07-05T06:23:33Z"},{"alias_kind":"pith_short_16","alias_value":"HBPEB52QVLOLL4UP","created_at":"2026-07-05T06:23:33Z"},{"alias_kind":"pith_short_8","alias_value":"HBPEB52Q","created_at":"2026-07-05T06:23:33Z"}],"graph_snapshots":[{"event_id":"sha256:56a432fa106dbc972c5287b8619547433f4bfa229e589a6d3895addc510fef19","target":"graph","created_at":"2026-07-05T06:23:33Z","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/2107.05455/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"System diagnosis is process of identifying faulty nodes in a system. An efficient diagnosis is crucial for a multiprocessor system. The BGM diagnosis model is a modification of the PMC diagnosis model, which is a test-based diagnosis. In this paper, we present a specific structure and propose an algorithm for diagnosing a node in a system under the BGM model. We also give a polynomial-time algorithm that a node in a hypercube-like network can be diagnosed correctly in three test rounds under the BGM diagnosis model.","authors_text":"Cheng-Kuan Lin, Chun-Nan Hung, Tzu-Liang Kung, Yuan-Hsiang Teng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2021-06-30T17:13:42Z","title":"A Local Diagnosis Algorithm for Hypercube-like Networks under the BGM Diagnosis Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.05455","kind":"arxiv","version":3},"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":"sha256:1e18fe941b177b9fb7cfc496f5b93143120e8bc3834d793828d7d219547eca56","target":"record","created_at":"2026-07-05T06:23:33Z","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":"9976bc96ff97474f32980ab312769a6e111b7a0fdb4bcc133ecab6f506337acc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2021-06-30T17:13:42Z","title_canon_sha256":"32d6acb4e597b24593d0ac6746713a45b149505debb2969e79bcb10f765cca2a"},"schema_version":"1.0","source":{"id":"2107.05455","kind":"arxiv","version":3}},"canonical_sha256":"385e40f750aadcb5f28fa0b33779c7925736227848475ecb381e7996acd166f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"385e40f750aadcb5f28fa0b33779c7925736227848475ecb381e7996acd166f8","first_computed_at":"2026-07-05T06:23:33.813729Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:23:33.813729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0vlJAqIWeuWpo/IdiXEQX6eu0PLSDQGdo/EAubW2FPqOAFZCZfTvu6fbMtjC5uztA54NEuhbqZQB8Pf07fhoDw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:23:33.814083Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.05455","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e18fe941b177b9fb7cfc496f5b93143120e8bc3834d793828d7d219547eca56","sha256:56a432fa106dbc972c5287b8619547433f4bfa229e589a6d3895addc510fef19"],"state_sha256":"7ba58798e74545ef40de90d76c229a42c672b4b0371418059cb96fc645337ec9"}