{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QNWVREBPGS5QREAXO5O7AN4KZC","short_pith_number":"pith:QNWVREBP","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"},"canonical_sha256":"836d58902f34bb089017775df0378ac8bf46844443d3f885aa17bbeb9d2efdc6","source":{"kind":"arxiv","id":"1701.03827","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.03827","created_at":"2026-05-18T00:52:48Z"},{"alias_kind":"arxiv_version","alias_value":"1701.03827v1","created_at":"2026-05-18T00:52:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.03827","created_at":"2026-05-18T00:52:48Z"},{"alias_kind":"pith_short_12","alias_value":"QNWVREBPGS5Q","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QNWVREBPGS5QREAX","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QNWVREBP","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QNWVREBPGS5QREAXO5O7AN4KZC","target":"record","payload":{"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"},"canonical_sha256":"836d58902f34bb089017775df0378ac8bf46844443d3f885aa17bbeb9d2efdc6","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"},"source_kind":"arxiv","source_id":"1701.03827","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":"2026-05-18T00:52:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MMbouVj3e5dixxRlSdtjFFCkUmKkpseABVEe98Mw1tuoJ0PGGMoqg68nKIbP1mZBb3Oz3g6l2AnKrAg0GkjlDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T15:34:09.417176Z"},"content_sha256":"df1c695f026b1d994bbcceed1101406cf5f568bdeffe4966ee3889e59e1d7f48","schema_version":"1.0","event_id":"sha256:df1c695f026b1d994bbcceed1101406cf5f568bdeffe4966ee3889e59e1d7f48"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QNWVREBPGS5QREAXO5O7AN4KZC","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fv4P4aYyPE6yi7J2oW8CAl+CnXM8w4FD/t/GVReQJsm37G4Gamfxm7+fE39AbZuvD2KMAtNwE15+6ikX3nY0Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T15:34:09.417773Z"},"content_sha256":"b0153a42315cc65e904d16c2009f8f02c5497e18e3bf103b5701d83ae5d90e28","schema_version":"1.0","event_id":"sha256:b0153a42315cc65e904d16c2009f8f02c5497e18e3bf103b5701d83ae5d90e28"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QNWVREBPGS5QREAXO5O7AN4KZC/bundle.json","state_url":"https://pith.science/pith/QNWVREBPGS5QREAXO5O7AN4KZC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QNWVREBPGS5QREAXO5O7AN4KZC/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":"2026-05-30T15:34:09Z","links":{"resolver":"https://pith.science/pith/QNWVREBPGS5QREAXO5O7AN4KZC","bundle":"https://pith.science/pith/QNWVREBPGS5QREAXO5O7AN4KZC/bundle.json","state":"https://pith.science/pith/QNWVREBPGS5QREAXO5O7AN4KZC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QNWVREBPGS5QREAXO5O7AN4KZC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QNWVREBPGS5QREAXO5O7AN4KZC","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":"b1902f8519b6c12b3f2102a4f905741c9beefae36459f5b52f358bed8e8744dc","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-01-11T10:21:15Z","title_canon_sha256":"5e940f4b8c78b8f4b03593b0ea2be130a23d7bd7092563ee15045b088b5150a3"},"schema_version":"1.0","source":{"id":"1701.03827","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.03827","created_at":"2026-05-18T00:52:48Z"},{"alias_kind":"arxiv_version","alias_value":"1701.03827v1","created_at":"2026-05-18T00:52:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.03827","created_at":"2026-05-18T00:52:48Z"},{"alias_kind":"pith_short_12","alias_value":"QNWVREBPGS5Q","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QNWVREBPGS5QREAX","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QNWVREBP","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:b0153a42315cc65e904d16c2009f8f02c5497e18e3bf103b5701d83ae5d90e28","target":"graph","created_at":"2026-05-18T00:52:48Z","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"},"paper":{"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.","authors_text":"Min Xu, Yulong Wei","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-01-11T10:21:15Z","title":"The g-Good-Neighbor Conditional Diagnosability of Locally Twisted Cubes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03827","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:df1c695f026b1d994bbcceed1101406cf5f568bdeffe4966ee3889e59e1d7f48","target":"record","created_at":"2026-05-18T00:52:48Z","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":"b1902f8519b6c12b3f2102a4f905741c9beefae36459f5b52f358bed8e8744dc","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-01-11T10:21:15Z","title_canon_sha256":"5e940f4b8c78b8f4b03593b0ea2be130a23d7bd7092563ee15045b088b5150a3"},"schema_version":"1.0","source":{"id":"1701.03827","kind":"arxiv","version":1}},"canonical_sha256":"836d58902f34bb089017775df0378ac8bf46844443d3f885aa17bbeb9d2efdc6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"836d58902f34bb089017775df0378ac8bf46844443d3f885aa17bbeb9d2efdc6","first_computed_at":"2026-05-18T00:52:48.858256Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:48.858256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ae5XROgasbFm/5SoVM1y2YT0DV+OiLYFy+BCuXVXO4IVrNssTW7C1TffmPf9/eD6yO71f8ZhFhrqXSUudvW1AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:48.858971Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.03827","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df1c695f026b1d994bbcceed1101406cf5f568bdeffe4966ee3889e59e1d7f48","sha256:b0153a42315cc65e904d16c2009f8f02c5497e18e3bf103b5701d83ae5d90e28"],"state_sha256":"38fe09e412f66332e725dfd825cde788f598e831f5632be08f579e709fc5a024"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pPHldxQOLXqdyNgk50lX5VAqNdBo8h2YAhiOgwwpwffeXOWreBc0fnHtxGtyGwpXg2EStlMKMG/yuZ00JTG7Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T15:34:09.420510Z","bundle_sha256":"d06b190ebfaea65ad0ba8d8764c4a5684c2014ccec0be3f9b6ebd35445a36868"}}