{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:QNWVREBPGS5QREAXO5O7AN4KZC","short_pith_number":"pith:QNWVREBP","schema_version":"1.0","canonical_sha256":"836d58902f34bb089017775df0378ac8bf46844443d3f885aa17bbeb9d2efdc6","source":{"kind":"arxiv","id":"1701.03827","version":1},"attestation_state":"computed","paper":{"title":"The g-Good-Neighbor Conditional Diagnosability of Locally Twisted Cubes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"cs.DM","authors_text":"Min Xu, Yulong Wei","submitted_at":"2017-01-11T10:21:15Z","abstract_excerpt":"In the work of Peng et al. in 2012, a new measure was proposed for fault diagnosis of systems: namely, g-good-neighbor conditional diagnosability, which requires that any fault-free vertex has at least g fault-free neighbors in the system. In this paper, we establish the g-good-neighbor conditional diagnosability of locally twisted cubes under the PMC model and the MM^* model."},"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":"1701.03827","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-01-11T10:21:15Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"5e940f4b8c78b8f4b03593b0ea2be130a23d7bd7092563ee15045b088b5150a3","abstract_canon_sha256":"b1902f8519b6c12b3f2102a4f905741c9beefae36459f5b52f358bed8e8744dc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:48.858971Z","signature_b64":"ae5XROgasbFm/5SoVM1y2YT0DV+OiLYFy+BCuXVXO4IVrNssTW7C1TffmPf9/eD6yO71f8ZhFhrqXSUudvW1AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"836d58902f34bb089017775df0378ac8bf46844443d3f885aa17bbeb9d2efdc6","last_reissued_at":"2026-05-18T00:52:48.858256Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:48.858256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The g-Good-Neighbor Conditional Diagnosability of Locally Twisted Cubes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"cs.DM","authors_text":"Min Xu, Yulong Wei","submitted_at":"2017-01-11T10:21:15Z","abstract_excerpt":"In the work of Peng et al. in 2012, a new measure was proposed for fault diagnosis of systems: namely, g-good-neighbor conditional diagnosability, which requires that any fault-free vertex has at least g fault-free neighbors in the system. In this paper, we establish the g-good-neighbor conditional diagnosability of locally twisted cubes under the PMC model and the MM^* model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03827","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":"1701.03827","created_at":"2026-05-18T00:52:48.858385+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.03827v1","created_at":"2026-05-18T00:52:48.858385+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.03827","created_at":"2026-05-18T00:52:48.858385+00:00"},{"alias_kind":"pith_short_12","alias_value":"QNWVREBPGS5Q","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"QNWVREBPGS5QREAX","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"QNWVREBP","created_at":"2026-05-18T12:31:39.905425+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/QNWVREBPGS5QREAXO5O7AN4KZC","json":"https://pith.science/pith/QNWVREBPGS5QREAXO5O7AN4KZC.json","graph_json":"https://pith.science/api/pith-number/QNWVREBPGS5QREAXO5O7AN4KZC/graph.json","events_json":"https://pith.science/api/pith-number/QNWVREBPGS5QREAXO5O7AN4KZC/events.json","paper":"https://pith.science/paper/QNWVREBP"},"agent_actions":{"view_html":"https://pith.science/pith/QNWVREBPGS5QREAXO5O7AN4KZC","download_json":"https://pith.science/pith/QNWVREBPGS5QREAXO5O7AN4KZC.json","view_paper":"https://pith.science/paper/QNWVREBP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.03827&json=true","fetch_graph":"https://pith.science/api/pith-number/QNWVREBPGS5QREAXO5O7AN4KZC/graph.json","fetch_events":"https://pith.science/api/pith-number/QNWVREBPGS5QREAXO5O7AN4KZC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QNWVREBPGS5QREAXO5O7AN4KZC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QNWVREBPGS5QREAXO5O7AN4KZC/action/storage_attestation","attest_author":"https://pith.science/pith/QNWVREBPGS5QREAXO5O7AN4KZC/action/author_attestation","sign_citation":"https://pith.science/pith/QNWVREBPGS5QREAXO5O7AN4KZC/action/citation_signature","submit_replication":"https://pith.science/pith/QNWVREBPGS5QREAXO5O7AN4KZC/action/replication_record"}},"created_at":"2026-05-18T00:52:48.858385+00:00","updated_at":"2026-05-18T00:52:48.858385+00:00"}