{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:GA6RZ6NKNKL4QBTD5LWDXA4JWO","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":"acb46703e7bc05451fec06d984b892b982bacb7ab713f2d529807dc3b1068a65","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2019-01-08T14:48:19Z","title_canon_sha256":"206cbd088fa21f44a99a067144723a0e46e8a6040667c28985fdc25b424bfd0f"},"schema_version":"1.0","source":{"id":"1901.02329","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.02329","created_at":"2026-05-17T23:56:43Z"},{"alias_kind":"arxiv_version","alias_value":"1901.02329v1","created_at":"2026-05-17T23:56:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.02329","created_at":"2026-05-17T23:56:43Z"},{"alias_kind":"pith_short_12","alias_value":"GA6RZ6NKNKL4","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"GA6RZ6NKNKL4QBTD","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"GA6RZ6NK","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:815db3e9685a69edaca6fd80f2705cac2fce97e7a2860eedf0b7ba0acda87b5d","target":"graph","created_at":"2026-05-17T23:56:43Z","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":"The existence of inter-dependence between multiple networks imparts an additional scale of complexity to such systems often referred to as `network of networks' (NON). We have investigated the robustness of NONs to random breakdown of their components, as well as targeted attacks, as a function of the relative proportion of intra- and inter-dependence among the constituent networks. We focus on bi-layer networks with the two layers comprising different number of nodes in general and where the ratio of intra-layer to inter-layer connections, $r$, can be varied, keeping the total number of nodes","authors_text":"Aradhana Singh, Sitabhra Sinha","cross_cats":["cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2019-01-08T14:48:19Z","title":"Interplay of intra- and inter-dependence affects the robustness of network of networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.02329","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:dd311d3de6354e55aa76a4e939b8f36d880566566e93fde761ba18fde306827a","target":"record","created_at":"2026-05-17T23:56:43Z","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":"acb46703e7bc05451fec06d984b892b982bacb7ab713f2d529807dc3b1068a65","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2019-01-08T14:48:19Z","title_canon_sha256":"206cbd088fa21f44a99a067144723a0e46e8a6040667c28985fdc25b424bfd0f"},"schema_version":"1.0","source":{"id":"1901.02329","kind":"arxiv","version":1}},"canonical_sha256":"303d1cf9aa6a97c80663eaec3b8389b3867dc6cefc012b045903f1861ba547c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"303d1cf9aa6a97c80663eaec3b8389b3867dc6cefc012b045903f1861ba547c4","first_computed_at":"2026-05-17T23:56:43.577972Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:43.577972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9Z8NJ83MqXEvWrlFgpGL6zfM+6odF7/NTTF0EgYC0vDs78UNDN3YjjxdO+JG7pcFU8GdtuzHRjRAuaOIbwgkDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:43.578346Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.02329","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd311d3de6354e55aa76a4e939b8f36d880566566e93fde761ba18fde306827a","sha256:815db3e9685a69edaca6fd80f2705cac2fce97e7a2860eedf0b7ba0acda87b5d"],"state_sha256":"ad204a59dcbf021b738d6999ed1869728be5738cbcc9f893e524138646e2ed63"}