{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:RPFWBZCZPH7XAGEUS5GBXL4VGK","short_pith_number":"pith:RPFWBZCZ","schema_version":"1.0","canonical_sha256":"8bcb60e45979ff701894974c1baf9532b28a4026f89a8a064785c8a1b4dd2dec","source":{"kind":"arxiv","id":"1702.00259","version":1},"attestation_state":"computed","paper":{"title":"Fault diagnosability of data center networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"cs.DC","authors_text":"Mei-Mei Gu, Rong-Xia Hao, Shuming Zhou","submitted_at":"2017-01-29T08:37:44Z","abstract_excerpt":"The data center networks $D_{n,k}$, proposed in 2008, has many desirable features such as high network capacity. A kind of generalization of diagnosability for network $G$ is $g$-good-neighbor diagnosability which is denoted by $t_g(G)$. Let $\\kappa^g(G)$ be the $R^g$-connectivity. Lin et. al. in [IEEE Trans. on Reliability, 65 (3) (2016) 1248--1262] and Xu et. al in [Theor. Comput. Sci. 659 (2017) 53--63] gave the same problem independently that: the relationship between the $R^g$-connectivity $\\kappa^g(G)$ and $t_g(G)$ of a general graph $G$ need to be studied in the future. In this paper, t"},"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":"1702.00259","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2017-01-29T08:37:44Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"82c870ae903c7e87197a615a6973d639b9bc66d93c87ee18bee25663bc54a05a","abstract_canon_sha256":"6ed4a08d96d062a4ca822457a4840b1576040cadd2237c8fb23cae8f1f793898"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:34.791795Z","signature_b64":"v9F89QKenNeD2UAYssDicGg2ZmSoDy2j3t6adg6gb9y2KAFv0WB11xjdu5sfXZO56br+PA22zqJeLLIDI09kCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8bcb60e45979ff701894974c1baf9532b28a4026f89a8a064785c8a1b4dd2dec","last_reissued_at":"2026-05-18T00:51:34.791462Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:34.791462Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fault diagnosability of data center networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"cs.DC","authors_text":"Mei-Mei Gu, Rong-Xia Hao, Shuming Zhou","submitted_at":"2017-01-29T08:37:44Z","abstract_excerpt":"The data center networks $D_{n,k}$, proposed in 2008, has many desirable features such as high network capacity. A kind of generalization of diagnosability for network $G$ is $g$-good-neighbor diagnosability which is denoted by $t_g(G)$. Let $\\kappa^g(G)$ be the $R^g$-connectivity. Lin et. al. in [IEEE Trans. on Reliability, 65 (3) (2016) 1248--1262] and Xu et. al in [Theor. Comput. Sci. 659 (2017) 53--63] gave the same problem independently that: the relationship between the $R^g$-connectivity $\\kappa^g(G)$ and $t_g(G)$ of a general graph $G$ need to be studied in the future. In this paper, t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.00259","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":"1702.00259","created_at":"2026-05-18T00:51:34.791515+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.00259v1","created_at":"2026-05-18T00:51:34.791515+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.00259","created_at":"2026-05-18T00:51:34.791515+00:00"},{"alias_kind":"pith_short_12","alias_value":"RPFWBZCZPH7X","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"RPFWBZCZPH7XAGEU","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"RPFWBZCZ","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/RPFWBZCZPH7XAGEUS5GBXL4VGK","json":"https://pith.science/pith/RPFWBZCZPH7XAGEUS5GBXL4VGK.json","graph_json":"https://pith.science/api/pith-number/RPFWBZCZPH7XAGEUS5GBXL4VGK/graph.json","events_json":"https://pith.science/api/pith-number/RPFWBZCZPH7XAGEUS5GBXL4VGK/events.json","paper":"https://pith.science/paper/RPFWBZCZ"},"agent_actions":{"view_html":"https://pith.science/pith/RPFWBZCZPH7XAGEUS5GBXL4VGK","download_json":"https://pith.science/pith/RPFWBZCZPH7XAGEUS5GBXL4VGK.json","view_paper":"https://pith.science/paper/RPFWBZCZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.00259&json=true","fetch_graph":"https://pith.science/api/pith-number/RPFWBZCZPH7XAGEUS5GBXL4VGK/graph.json","fetch_events":"https://pith.science/api/pith-number/RPFWBZCZPH7XAGEUS5GBXL4VGK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RPFWBZCZPH7XAGEUS5GBXL4VGK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RPFWBZCZPH7XAGEUS5GBXL4VGK/action/storage_attestation","attest_author":"https://pith.science/pith/RPFWBZCZPH7XAGEUS5GBXL4VGK/action/author_attestation","sign_citation":"https://pith.science/pith/RPFWBZCZPH7XAGEUS5GBXL4VGK/action/citation_signature","submit_replication":"https://pith.science/pith/RPFWBZCZPH7XAGEUS5GBXL4VGK/action/replication_record"}},"created_at":"2026-05-18T00:51:34.791515+00:00","updated_at":"2026-05-18T00:51:34.791515+00:00"}