{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:CMIBCQVAN2IN3B7OXC4D7L3YZZ","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":"266327bfac2f92ad1ce5adfed939c1e39e51b62cdee35a052dfa42c85dfa35ac","cross_cats_sorted":["nlin.AO","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2012-11-14T08:47:18Z","title_canon_sha256":"83809dc06ce398026dad2af532c3828600b3d066a9066ff0dc1ae45bb3412eaf"},"schema_version":"1.0","source":{"id":"1211.3238","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.3238","created_at":"2026-05-18T03:40:50Z"},{"alias_kind":"arxiv_version","alias_value":"1211.3238v1","created_at":"2026-05-18T03:40:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3238","created_at":"2026-05-18T03:40:50Z"},{"alias_kind":"pith_short_12","alias_value":"CMIBCQVAN2IN","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CMIBCQVAN2IN3B7O","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CMIBCQVA","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:0b9ab39935d058fef02bf1f1a7516a62d368c1364db164ab8fddccac9acaeed0","target":"graph","created_at":"2026-05-18T03:40:50Z","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":"Previous studies on the invulnerability of scale-free networks under edge attacks supported the conclusion that scale-free networks would be fragile under selective attacks. However, these studies are based on qualitative methods with obscure definitions on the robustness. This paper therefore employs a quantitative method to analyze the invulnerability of the scale-free networks, and uses four scale-free networks as the experimental group and four random networks as the control group. The experimental results show that some scale-free networks are robust under selective edge attacks, differen","authors_text":"Bojin Zheng, Hongrun Wu, Jun Qin, Wanneng Shu, Wenhua Du","cross_cats":["nlin.AO","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2012-11-14T08:47:18Z","title":"The Robustness of Scale-free Networks Under Edge Attacks with the Quantitative Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3238","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":"sha256:41e0543a59ceedbb9976485fdebb54e10a7aee4826c547e5d525432dab97f4e0","target":"record","created_at":"2026-05-18T03:40:50Z","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":"266327bfac2f92ad1ce5adfed939c1e39e51b62cdee35a052dfa42c85dfa35ac","cross_cats_sorted":["nlin.AO","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2012-11-14T08:47:18Z","title_canon_sha256":"83809dc06ce398026dad2af532c3828600b3d066a9066ff0dc1ae45bb3412eaf"},"schema_version":"1.0","source":{"id":"1211.3238","kind":"arxiv","version":1}},"canonical_sha256":"13101142a06e90dd87eeb8b83faf78ce7fcc87d957a0cf6ea08b933af28d766a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13101142a06e90dd87eeb8b83faf78ce7fcc87d957a0cf6ea08b933af28d766a","first_computed_at":"2026-05-18T03:40:50.482499Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:50.482499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9y/eqAfag+c3sIJPGZCd5N4RCgDDsL+EdPWTqX9/K3plubZHwryd9SPm7LGEJfSZbuLkHV7oHhQpfOLW8CiAAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:50.483133Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.3238","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41e0543a59ceedbb9976485fdebb54e10a7aee4826c547e5d525432dab97f4e0","sha256:0b9ab39935d058fef02bf1f1a7516a62d368c1364db164ab8fddccac9acaeed0"],"state_sha256":"65ef84d41886f86631321bf4c5865757033344381a4c9d11ab513abfea60b9fc"}