{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:V27G276R3X6YN5TQ5ZQA2V46ZP","short_pith_number":"pith:V27G276R","canonical_record":{"source":{"id":"1701.08787","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-01-30T19:19:39Z","cross_cats_sorted":[],"title_canon_sha256":"00828ee70cd3316c1cebd5ebfbb0df5d7f516069cde6792a61a021405831ba4f","abstract_canon_sha256":"c852f126e483de1df1b3c0c0ef1de44fda8d97336d281217fba6eab7c521a715"},"schema_version":"1.0"},"canonical_sha256":"aebe6d7fd1ddfd86f670ee600d579ecbd82b4df95687c4fccaf9f3d2888cb189","source":{"kind":"arxiv","id":"1701.08787","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.08787","created_at":"2026-05-18T00:51:39Z"},{"alias_kind":"arxiv_version","alias_value":"1701.08787v1","created_at":"2026-05-18T00:51:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.08787","created_at":"2026-05-18T00:51:39Z"},{"alias_kind":"pith_short_12","alias_value":"V27G276R3X6Y","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"V27G276R3X6YN5TQ","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"V27G276R","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:V27G276R3X6YN5TQ5ZQA2V46ZP","target":"record","payload":{"canonical_record":{"source":{"id":"1701.08787","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-01-30T19:19:39Z","cross_cats_sorted":[],"title_canon_sha256":"00828ee70cd3316c1cebd5ebfbb0df5d7f516069cde6792a61a021405831ba4f","abstract_canon_sha256":"c852f126e483de1df1b3c0c0ef1de44fda8d97336d281217fba6eab7c521a715"},"schema_version":"1.0"},"canonical_sha256":"aebe6d7fd1ddfd86f670ee600d579ecbd82b4df95687c4fccaf9f3d2888cb189","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:39.187025Z","signature_b64":"TieiDaitBMY3s2SVRrKTrGsm6knwISChjy9LTr08vgP+6+P3PIxDXed3X3OjNlHITkxoOl2wlbOr8AHUmYnfCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aebe6d7fd1ddfd86f670ee600d579ecbd82b4df95687c4fccaf9f3d2888cb189","last_reissued_at":"2026-05-18T00:51:39.186618Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:39.186618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.08787","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":"2026-05-18T00:51:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Zf1cHV8K3aMYL/7EH+OwVnUm/tzn1zJylXTDn7LNypVVbwtXEZMMBYxxQw3iVlDzc1xp9IjcfBrRJE9Nb3tAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:33:04.429810Z"},"content_sha256":"b2fd55273663333bf48f59083a8337ac4f967acb45ca6b816e68073e993ceefb","schema_version":"1.0","event_id":"sha256:b2fd55273663333bf48f59083a8337ac4f967acb45ca6b816e68073e993ceefb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:V27G276R3X6YN5TQ5ZQA2V46ZP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Vulnerability of Clustering under Node Failure in Complex Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SI","authors_text":"Alan Kuhnle, My T. Thai, Nam P. Nguyen, Thang N. Dinh","submitted_at":"2017-01-30T19:19:39Z","abstract_excerpt":"Robustness in response to unexpected events is always desirable for real-world networks. To improve the robustness of any networked system, it is important to analyze vulnerability to external perturbation such as random failures or adversarial attacks occurring to elements of the network. In this paper, we study an emerging problem in assessing the robustness of complex networks: the vulnerability of the clustering of the network to the failure of network elements. Specifically, we identify vertices whose failures will critically damage the network by degrading its clustering, evaluated throu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.08787","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":"2026-05-18T00:51:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IqXQqhhQrSpJ1aXi59bLIaCui4sUnQnVQOy3LhOia4y/vM5blzTlfz9SFVONl5I5rqPnd8IXvPN2X4lEa72eAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:33:04.430150Z"},"content_sha256":"3dc1ffb1f0278c3376e5d6ef89aca4986c1175b7d1a68246692a8143c0d33277","schema_version":"1.0","event_id":"sha256:3dc1ffb1f0278c3376e5d6ef89aca4986c1175b7d1a68246692a8143c0d33277"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V27G276R3X6YN5TQ5ZQA2V46ZP/bundle.json","state_url":"https://pith.science/pith/V27G276R3X6YN5TQ5ZQA2V46ZP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V27G276R3X6YN5TQ5ZQA2V46ZP/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":"2026-05-30T13:33:04Z","links":{"resolver":"https://pith.science/pith/V27G276R3X6YN5TQ5ZQA2V46ZP","bundle":"https://pith.science/pith/V27G276R3X6YN5TQ5ZQA2V46ZP/bundle.json","state":"https://pith.science/pith/V27G276R3X6YN5TQ5ZQA2V46ZP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V27G276R3X6YN5TQ5ZQA2V46ZP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:V27G276R3X6YN5TQ5ZQA2V46ZP","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":"c852f126e483de1df1b3c0c0ef1de44fda8d97336d281217fba6eab7c521a715","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-01-30T19:19:39Z","title_canon_sha256":"00828ee70cd3316c1cebd5ebfbb0df5d7f516069cde6792a61a021405831ba4f"},"schema_version":"1.0","source":{"id":"1701.08787","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.08787","created_at":"2026-05-18T00:51:39Z"},{"alias_kind":"arxiv_version","alias_value":"1701.08787v1","created_at":"2026-05-18T00:51:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.08787","created_at":"2026-05-18T00:51:39Z"},{"alias_kind":"pith_short_12","alias_value":"V27G276R3X6Y","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"V27G276R3X6YN5TQ","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"V27G276R","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:3dc1ffb1f0278c3376e5d6ef89aca4986c1175b7d1a68246692a8143c0d33277","target":"graph","created_at":"2026-05-18T00:51:39Z","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":"Robustness in response to unexpected events is always desirable for real-world networks. To improve the robustness of any networked system, it is important to analyze vulnerability to external perturbation such as random failures or adversarial attacks occurring to elements of the network. In this paper, we study an emerging problem in assessing the robustness of complex networks: the vulnerability of the clustering of the network to the failure of network elements. Specifically, we identify vertices whose failures will critically damage the network by degrading its clustering, evaluated throu","authors_text":"Alan Kuhnle, My T. Thai, Nam P. Nguyen, Thang N. Dinh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-01-30T19:19:39Z","title":"Vulnerability of Clustering under Node Failure in Complex Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.08787","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:b2fd55273663333bf48f59083a8337ac4f967acb45ca6b816e68073e993ceefb","target":"record","created_at":"2026-05-18T00:51:39Z","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":"c852f126e483de1df1b3c0c0ef1de44fda8d97336d281217fba6eab7c521a715","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-01-30T19:19:39Z","title_canon_sha256":"00828ee70cd3316c1cebd5ebfbb0df5d7f516069cde6792a61a021405831ba4f"},"schema_version":"1.0","source":{"id":"1701.08787","kind":"arxiv","version":1}},"canonical_sha256":"aebe6d7fd1ddfd86f670ee600d579ecbd82b4df95687c4fccaf9f3d2888cb189","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aebe6d7fd1ddfd86f670ee600d579ecbd82b4df95687c4fccaf9f3d2888cb189","first_computed_at":"2026-05-18T00:51:39.186618Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:39.186618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TieiDaitBMY3s2SVRrKTrGsm6knwISChjy9LTr08vgP+6+P3PIxDXed3X3OjNlHITkxoOl2wlbOr8AHUmYnfCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:39.187025Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.08787","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2fd55273663333bf48f59083a8337ac4f967acb45ca6b816e68073e993ceefb","sha256:3dc1ffb1f0278c3376e5d6ef89aca4986c1175b7d1a68246692a8143c0d33277"],"state_sha256":"a4eb6ef3f72605652d7bb06d5b9fc9b2298dc77dd23b0d76ff6873fe8996c160"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dzKapqreUAfJ+LCz+2N+8J0Szxgtlr2ttUlET/mAaquyk7Ei2scwggrist5Pbu9/uTNlkx3v37AWgHcx7Xo6Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T13:33:04.432148Z","bundle_sha256":"576383b927d6c6062c3d6d660fecfa6758cc467c0b69770518409bf2640f80c4"}}