{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:PHAXOKM26NJSCR4L6TPPSOZ4TD","short_pith_number":"pith:PHAXOKM2","canonical_record":{"source":{"id":"1302.3799","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-02-15T16:39:17Z","cross_cats_sorted":[],"title_canon_sha256":"623f333935835fcca270f0eef5a20ac9af2f5473cdf81d30abae5cf982171757","abstract_canon_sha256":"fbef620076f231fb52ffe85de06b492f704576178c255f0872b386469d3c55fe"},"schema_version":"1.0"},"canonical_sha256":"79c177299af35321478bf4def93b3c98e18850af9416426efa433e794cbaf371","source":{"kind":"arxiv","id":"1302.3799","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.3799","created_at":"2026-05-18T03:33:35Z"},{"alias_kind":"arxiv_version","alias_value":"1302.3799v1","created_at":"2026-05-18T03:33:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3799","created_at":"2026-05-18T03:33:35Z"},{"alias_kind":"pith_short_12","alias_value":"PHAXOKM26NJS","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"PHAXOKM26NJSCR4L","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"PHAXOKM2","created_at":"2026-05-18T12:27:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:PHAXOKM26NJSCR4L6TPPSOZ4TD","target":"record","payload":{"canonical_record":{"source":{"id":"1302.3799","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-02-15T16:39:17Z","cross_cats_sorted":[],"title_canon_sha256":"623f333935835fcca270f0eef5a20ac9af2f5473cdf81d30abae5cf982171757","abstract_canon_sha256":"fbef620076f231fb52ffe85de06b492f704576178c255f0872b386469d3c55fe"},"schema_version":"1.0"},"canonical_sha256":"79c177299af35321478bf4def93b3c98e18850af9416426efa433e794cbaf371","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:33:35.648226Z","signature_b64":"mlOU4s3w0Cl3uOn6R4mlx6g15+ykp8I4wGeNPjT9jfAnmfHcE+iWYrhysK8Xu7aVUwtc6y17IkaruEp8iBB5DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79c177299af35321478bf4def93b3c98e18850af9416426efa433e794cbaf371","last_reissued_at":"2026-05-18T03:33:35.647463Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:33:35.647463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.3799","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":"2026-05-18T03:33:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fDp8nBogyTrWxFuNDbUrmaXJ0qUbRbSvWclZYYaIOY0KMwoy1goFrB7uKuntf/SLIUx7QKNAlFqM5CREHNIpAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:38:34.165441Z"},"content_sha256":"1c4ef7c646c8009b10c592b4bc3c7771bdff8be74b0b5c831db7b476413e443d","schema_version":"1.0","event_id":"sha256:1c4ef7c646c8009b10c592b4bc3c7771bdff8be74b0b5c831db7b476413e443d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:PHAXOKM26NJSCR4L6TPPSOZ4TD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Correlations in complex networks under attack","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Animesh Srivastava, Bivas Mitra, Fernando Peruani, Niloy Ganguly","submitted_at":"2013-02-15T16:39:17Z","abstract_excerpt":"For any initial correlated network after any kind of attack where either nodes or edges are removed, we obtain general expressions for the degree-degree probability matrix and degree distribution. We show that the proposed analytical approach predicts the correct topological changes after the attack by comparing the evolution of the assortativity coefficient for different attack strategies and intensities in theory and simulations. We find that it is possible to turn an initial assortative network into a disassortative one, and vice versa, by fine-tuning removal of either nodes or edges. For a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3799","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":"2026-05-18T03:33:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AbmRFuUG0INwEliT4dBStV0ic4znuu1cXPnGIoeFPYEcZqZENWMC5PHB5bGSn8OGPPVgN1rX/4/ECHysBXGODA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:38:34.165799Z"},"content_sha256":"162cfea0ba4489623ad226ca63bfaa017c2b5f0114aac2dbd36ca781fd1a80e8","schema_version":"1.0","event_id":"sha256:162cfea0ba4489623ad226ca63bfaa017c2b5f0114aac2dbd36ca781fd1a80e8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PHAXOKM26NJSCR4L6TPPSOZ4TD/bundle.json","state_url":"https://pith.science/pith/PHAXOKM26NJSCR4L6TPPSOZ4TD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PHAXOKM26NJSCR4L6TPPSOZ4TD/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":"2026-05-30T08:38:34Z","links":{"resolver":"https://pith.science/pith/PHAXOKM26NJSCR4L6TPPSOZ4TD","bundle":"https://pith.science/pith/PHAXOKM26NJSCR4L6TPPSOZ4TD/bundle.json","state":"https://pith.science/pith/PHAXOKM26NJSCR4L6TPPSOZ4TD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PHAXOKM26NJSCR4L6TPPSOZ4TD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:PHAXOKM26NJSCR4L6TPPSOZ4TD","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":"fbef620076f231fb52ffe85de06b492f704576178c255f0872b386469d3c55fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-02-15T16:39:17Z","title_canon_sha256":"623f333935835fcca270f0eef5a20ac9af2f5473cdf81d30abae5cf982171757"},"schema_version":"1.0","source":{"id":"1302.3799","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.3799","created_at":"2026-05-18T03:33:35Z"},{"alias_kind":"arxiv_version","alias_value":"1302.3799v1","created_at":"2026-05-18T03:33:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3799","created_at":"2026-05-18T03:33:35Z"},{"alias_kind":"pith_short_12","alias_value":"PHAXOKM26NJS","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"PHAXOKM26NJSCR4L","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"PHAXOKM2","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:162cfea0ba4489623ad226ca63bfaa017c2b5f0114aac2dbd36ca781fd1a80e8","target":"graph","created_at":"2026-05-18T03:33:35Z","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":"For any initial correlated network after any kind of attack where either nodes or edges are removed, we obtain general expressions for the degree-degree probability matrix and degree distribution. We show that the proposed analytical approach predicts the correct topological changes after the attack by comparing the evolution of the assortativity coefficient for different attack strategies and intensities in theory and simulations. We find that it is possible to turn an initial assortative network into a disassortative one, and vice versa, by fine-tuning removal of either nodes or edges. For a","authors_text":"Animesh Srivastava, Bivas Mitra, Fernando Peruani, Niloy Ganguly","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-02-15T16:39:17Z","title":"Correlations in complex networks under attack"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3799","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":"sha256:1c4ef7c646c8009b10c592b4bc3c7771bdff8be74b0b5c831db7b476413e443d","target":"record","created_at":"2026-05-18T03:33:35Z","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":"fbef620076f231fb52ffe85de06b492f704576178c255f0872b386469d3c55fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-02-15T16:39:17Z","title_canon_sha256":"623f333935835fcca270f0eef5a20ac9af2f5473cdf81d30abae5cf982171757"},"schema_version":"1.0","source":{"id":"1302.3799","kind":"arxiv","version":1}},"canonical_sha256":"79c177299af35321478bf4def93b3c98e18850af9416426efa433e794cbaf371","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79c177299af35321478bf4def93b3c98e18850af9416426efa433e794cbaf371","first_computed_at":"2026-05-18T03:33:35.647463Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:33:35.647463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mlOU4s3w0Cl3uOn6R4mlx6g15+ykp8I4wGeNPjT9jfAnmfHcE+iWYrhysK8Xu7aVUwtc6y17IkaruEp8iBB5DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:33:35.648226Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.3799","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c4ef7c646c8009b10c592b4bc3c7771bdff8be74b0b5c831db7b476413e443d","sha256:162cfea0ba4489623ad226ca63bfaa017c2b5f0114aac2dbd36ca781fd1a80e8"],"state_sha256":"8ca39f27360572210e92ce83d245500230faad5c812c678b0a24592d1e475867"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VzaW32uP+nJgjRkhTXb9czdxdq7SMLbfkqgyhB42GWG7+5ocHGX+13AUU959tp+8umaj5rxRlKx3S2mOKLV6Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T08:38:34.167962Z","bundle_sha256":"a6747aeeafea63ef336de4766f7e28d6fc4cd3606f80d09a3e9f846f6b9e9fbd"}}