{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:ZP2UCCKGHIDP57E3HMZHFOYM3V","short_pith_number":"pith:ZP2UCCKG","canonical_record":{"source":{"id":"1111.0107","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-11-01T03:03:15Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"7c57e99703e85329d65fb2612f75b2937db1b7672fd3ebd99a95d984ee26e8d9","abstract_canon_sha256":"bb4c3d02dbdfe43bd305f076c4e2b7139656c63e01de3e8a72eb32f13dc4c921"},"schema_version":"1.0"},"canonical_sha256":"cbf54109463a06fefc9b3b3272bb0cdd584ef177b0c344b38a2b9f0cc1a29b6d","source":{"kind":"arxiv","id":"1111.0107","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.0107","created_at":"2026-05-18T03:59:12Z"},{"alias_kind":"arxiv_version","alias_value":"1111.0107v3","created_at":"2026-05-18T03:59:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.0107","created_at":"2026-05-18T03:59:12Z"},{"alias_kind":"pith_short_12","alias_value":"ZP2UCCKGHIDP","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"ZP2UCCKGHIDP57E3","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"ZP2UCCKG","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:ZP2UCCKGHIDP57E3HMZHFOYM3V","target":"record","payload":{"canonical_record":{"source":{"id":"1111.0107","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-11-01T03:03:15Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"7c57e99703e85329d65fb2612f75b2937db1b7672fd3ebd99a95d984ee26e8d9","abstract_canon_sha256":"bb4c3d02dbdfe43bd305f076c4e2b7139656c63e01de3e8a72eb32f13dc4c921"},"schema_version":"1.0"},"canonical_sha256":"cbf54109463a06fefc9b3b3272bb0cdd584ef177b0c344b38a2b9f0cc1a29b6d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:12.200962Z","signature_b64":"Br/N109dG7orPW9ubnjms8ZiuLpGBHggWtvecbr31zsN5rBpToQqKZbHxAqUz9TkoPmkbppWhbyD1w7k+q3qCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cbf54109463a06fefc9b3b3272bb0cdd584ef177b0c344b38a2b9f0cc1a29b6d","last_reissued_at":"2026-05-18T03:59:12.200489Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:12.200489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.0107","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:59:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nBbs9N4eDF5zrwl623bO9kcCHpnADk6jViLDQTvA+eJIagWwuSRBBbb/GKTTq1HyJX8ybceCH2g9gjAZdxsxDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:43:56.235510Z"},"content_sha256":"c67bcf439825f1ebd6df307d698bdc6a6b7318d08edabeb0046a91d6eedb4415","schema_version":"1.0","event_id":"sha256:c67bcf439825f1ebd6df307d698bdc6a6b7318d08edabeb0046a91d6eedb4415"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:ZP2UCCKGHIDP57E3HMZHFOYM3V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Correlated multiplexity and connectivity of multiplex random networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"I.-M. Kim, Jung Yeol Kim, K.-I. Goh, Kyu-Min Lee, Won-kuk Cho","submitted_at":"2011-11-01T03:03:15Z","abstract_excerpt":"Nodes in a complex networked system often engage in more than one type of interactions among them; they form a multiplex network with multiple types of links. In real-world complex systems, a node's degree for one type of links and that for the other are not randomly distributed but correlated, which we term correlated multiplexity. In this paper we study a simple model of multiplex random networks and demonstrate that the correlated multiplexity can drastically affect the properties of giant component in the network. Specifically, when the degrees of a node for different interactions in a dup"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.0107","kind":"arxiv","version":3},"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":"2026-05-18T03:59:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"obbgULOJD3IxzNnhsRbkaXTy7YNyLUxKUSqnAFsg87axpp9dblFew24YA0VWDB8/nM2R3l0+0xZn2H5N5+hMDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:43:56.235862Z"},"content_sha256":"d1e82fe00bce4e2f37e129580863774972b2cf75e5ee5e8712f0d51bfc79e595","schema_version":"1.0","event_id":"sha256:d1e82fe00bce4e2f37e129580863774972b2cf75e5ee5e8712f0d51bfc79e595"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZP2UCCKGHIDP57E3HMZHFOYM3V/bundle.json","state_url":"https://pith.science/pith/ZP2UCCKGHIDP57E3HMZHFOYM3V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZP2UCCKGHIDP57E3HMZHFOYM3V/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":"2026-06-03T14:43:56Z","links":{"resolver":"https://pith.science/pith/ZP2UCCKGHIDP57E3HMZHFOYM3V","bundle":"https://pith.science/pith/ZP2UCCKGHIDP57E3HMZHFOYM3V/bundle.json","state":"https://pith.science/pith/ZP2UCCKGHIDP57E3HMZHFOYM3V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZP2UCCKGHIDP57E3HMZHFOYM3V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ZP2UCCKGHIDP57E3HMZHFOYM3V","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":"bb4c3d02dbdfe43bd305f076c4e2b7139656c63e01de3e8a72eb32f13dc4c921","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-11-01T03:03:15Z","title_canon_sha256":"7c57e99703e85329d65fb2612f75b2937db1b7672fd3ebd99a95d984ee26e8d9"},"schema_version":"1.0","source":{"id":"1111.0107","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.0107","created_at":"2026-05-18T03:59:12Z"},{"alias_kind":"arxiv_version","alias_value":"1111.0107v3","created_at":"2026-05-18T03:59:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.0107","created_at":"2026-05-18T03:59:12Z"},{"alias_kind":"pith_short_12","alias_value":"ZP2UCCKGHIDP","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"ZP2UCCKGHIDP57E3","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"ZP2UCCKG","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:d1e82fe00bce4e2f37e129580863774972b2cf75e5ee5e8712f0d51bfc79e595","target":"graph","created_at":"2026-05-18T03:59:12Z","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":"Nodes in a complex networked system often engage in more than one type of interactions among them; they form a multiplex network with multiple types of links. In real-world complex systems, a node's degree for one type of links and that for the other are not randomly distributed but correlated, which we term correlated multiplexity. In this paper we study a simple model of multiplex random networks and demonstrate that the correlated multiplexity can drastically affect the properties of giant component in the network. Specifically, when the degrees of a node for different interactions in a dup","authors_text":"I.-M. Kim, Jung Yeol Kim, K.-I. Goh, Kyu-Min Lee, Won-kuk Cho","cross_cats":["cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-11-01T03:03:15Z","title":"Correlated multiplexity and connectivity of multiplex random networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.0107","kind":"arxiv","version":3},"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:c67bcf439825f1ebd6df307d698bdc6a6b7318d08edabeb0046a91d6eedb4415","target":"record","created_at":"2026-05-18T03:59:12Z","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":"bb4c3d02dbdfe43bd305f076c4e2b7139656c63e01de3e8a72eb32f13dc4c921","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-11-01T03:03:15Z","title_canon_sha256":"7c57e99703e85329d65fb2612f75b2937db1b7672fd3ebd99a95d984ee26e8d9"},"schema_version":"1.0","source":{"id":"1111.0107","kind":"arxiv","version":3}},"canonical_sha256":"cbf54109463a06fefc9b3b3272bb0cdd584ef177b0c344b38a2b9f0cc1a29b6d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cbf54109463a06fefc9b3b3272bb0cdd584ef177b0c344b38a2b9f0cc1a29b6d","first_computed_at":"2026-05-18T03:59:12.200489Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:12.200489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Br/N109dG7orPW9ubnjms8ZiuLpGBHggWtvecbr31zsN5rBpToQqKZbHxAqUz9TkoPmkbppWhbyD1w7k+q3qCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:12.200962Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.0107","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c67bcf439825f1ebd6df307d698bdc6a6b7318d08edabeb0046a91d6eedb4415","sha256:d1e82fe00bce4e2f37e129580863774972b2cf75e5ee5e8712f0d51bfc79e595"],"state_sha256":"ff163f4985ca67ce01cd2ee5b8179db03c00b9f3c86d7fb9a7cdf415da7b45fd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/+BVK9H18SF5fLzqP9O+8IP5qRbFX7LvxLPIslQrXPTxGRcDCJz4sS+cLI6e2RRCFXLW5awWc6pPoMZjuF9OAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T14:43:56.237844Z","bundle_sha256":"3575d49608d80c7c1ee6c8336bfebdd04e98e0ff9faa401526faa89399804986"}}