{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:CJAOBPI7OQLVJRBBDPTBLYOJGZ","short_pith_number":"pith:CJAOBPI7","canonical_record":{"source":{"id":"0903.0687","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2009-03-04T04:07:54Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"186b415c5da12f75c05efbe8681a6da695816a1e16e5357e539488a599ab8f3b","abstract_canon_sha256":"c097a4f1f2ef3796de958a961c1c45e37864736de8186a63037fd1ca5db48ec6"},"schema_version":"1.0"},"canonical_sha256":"1240e0bd1f741754c4211be615e1c936412a79a2f1e586661e7ad2521d607f91","source":{"kind":"arxiv","id":"0903.0687","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.0687","created_at":"2026-05-18T00:32:24Z"},{"alias_kind":"arxiv_version","alias_value":"0903.0687v4","created_at":"2026-05-18T00:32:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.0687","created_at":"2026-05-18T00:32:24Z"},{"alias_kind":"pith_short_12","alias_value":"CJAOBPI7OQLV","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"CJAOBPI7OQLVJRBB","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"CJAOBPI7","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:CJAOBPI7OQLVJRBBDPTBLYOJGZ","target":"record","payload":{"canonical_record":{"source":{"id":"0903.0687","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2009-03-04T04:07:54Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"186b415c5da12f75c05efbe8681a6da695816a1e16e5357e539488a599ab8f3b","abstract_canon_sha256":"c097a4f1f2ef3796de958a961c1c45e37864736de8186a63037fd1ca5db48ec6"},"schema_version":"1.0"},"canonical_sha256":"1240e0bd1f741754c4211be615e1c936412a79a2f1e586661e7ad2521d607f91","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:24.316661Z","signature_b64":"l98RkC/irXFVRJMhSouCOuToXkFGf1/Xf+HNylqLDxkh4ouqxJ9TbUiaZVfWlmgQCnza0WTJUkXRwz/q/lGNDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1240e0bd1f741754c4211be615e1c936412a79a2f1e586661e7ad2521d607f91","last_reissued_at":"2026-05-18T00:32:24.315987Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:24.315987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0903.0687","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:32:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mr3wAzH/3Qv5I3uaJCAwQUdHhhYQ2ROscr2wiE8taSTkjWg9vArwNz6v/WTtI3d9i6e7IElKwYaXHvkKv/fWDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T21:57:14.325506Z"},"content_sha256":"a6c969e7ddf3d5d5435f7ddde0a984d32c0e9079966080517ff214d7b6171f35","schema_version":"1.0","event_id":"sha256:a6c969e7ddf3d5d5435f7ddde0a984d32c0e9079966080517ff214d7b6171f35"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:CJAOBPI7OQLVJRBBDPTBLYOJGZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Second-Order Assortative Mixing in Social Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"physics.soc-ph","authors_text":"Ingemar J. Cox, Lars K. Hansen, Shi Zhou","submitted_at":"2009-03-04T04:07:54Z","abstract_excerpt":"In a social network, the number of links of a node, or node degree, is often assumed as a proxy for the node's importance or prominence within the network. It is known that social networks exhibit the (first-order) assortative mixing, i.e. if two nodes are connected, they tend to have similar node degrees, suggesting that people tend to mix with those of comparable prominence. In this paper, we report the second-order assortative mixing in social networks. If two nodes are connected, we measure the degree correlation between their most prominent neighbours, rather than between the two nodes th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.0687","kind":"arxiv","version":4},"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":"2026-05-18T00:32:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oezaMCS5fspVGlFkbc8XbsIAwQ2pe7nnpQY+WRn0o/3ouCP74Vkr2wQKzM0XK/kazz2O+idx/62c85FwfyjDBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T21:57:14.326143Z"},"content_sha256":"8040e444ecde1e6826fc5da0f0c10c4f8ca2450d00923d0edb7baca2ef9c2680","schema_version":"1.0","event_id":"sha256:8040e444ecde1e6826fc5da0f0c10c4f8ca2450d00923d0edb7baca2ef9c2680"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CJAOBPI7OQLVJRBBDPTBLYOJGZ/bundle.json","state_url":"https://pith.science/pith/CJAOBPI7OQLVJRBBDPTBLYOJGZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CJAOBPI7OQLVJRBBDPTBLYOJGZ/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":"2026-05-20T21:57:14Z","links":{"resolver":"https://pith.science/pith/CJAOBPI7OQLVJRBBDPTBLYOJGZ","bundle":"https://pith.science/pith/CJAOBPI7OQLVJRBBDPTBLYOJGZ/bundle.json","state":"https://pith.science/pith/CJAOBPI7OQLVJRBBDPTBLYOJGZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CJAOBPI7OQLVJRBBDPTBLYOJGZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:CJAOBPI7OQLVJRBBDPTBLYOJGZ","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":"c097a4f1f2ef3796de958a961c1c45e37864736de8186a63037fd1ca5db48ec6","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2009-03-04T04:07:54Z","title_canon_sha256":"186b415c5da12f75c05efbe8681a6da695816a1e16e5357e539488a599ab8f3b"},"schema_version":"1.0","source":{"id":"0903.0687","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.0687","created_at":"2026-05-18T00:32:24Z"},{"alias_kind":"arxiv_version","alias_value":"0903.0687v4","created_at":"2026-05-18T00:32:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.0687","created_at":"2026-05-18T00:32:24Z"},{"alias_kind":"pith_short_12","alias_value":"CJAOBPI7OQLV","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"CJAOBPI7OQLVJRBB","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"CJAOBPI7","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:8040e444ecde1e6826fc5da0f0c10c4f8ca2450d00923d0edb7baca2ef9c2680","target":"graph","created_at":"2026-05-18T00:32:24Z","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":"In a social network, the number of links of a node, or node degree, is often assumed as a proxy for the node's importance or prominence within the network. It is known that social networks exhibit the (first-order) assortative mixing, i.e. if two nodes are connected, they tend to have similar node degrees, suggesting that people tend to mix with those of comparable prominence. In this paper, we report the second-order assortative mixing in social networks. If two nodes are connected, we measure the degree correlation between their most prominent neighbours, rather than between the two nodes th","authors_text":"Ingemar J. Cox, Lars K. Hansen, Shi Zhou","cross_cats":["physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2009-03-04T04:07:54Z","title":"Second-Order Assortative Mixing in Social Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.0687","kind":"arxiv","version":4},"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:a6c969e7ddf3d5d5435f7ddde0a984d32c0e9079966080517ff214d7b6171f35","target":"record","created_at":"2026-05-18T00:32:24Z","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":"c097a4f1f2ef3796de958a961c1c45e37864736de8186a63037fd1ca5db48ec6","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2009-03-04T04:07:54Z","title_canon_sha256":"186b415c5da12f75c05efbe8681a6da695816a1e16e5357e539488a599ab8f3b"},"schema_version":"1.0","source":{"id":"0903.0687","kind":"arxiv","version":4}},"canonical_sha256":"1240e0bd1f741754c4211be615e1c936412a79a2f1e586661e7ad2521d607f91","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1240e0bd1f741754c4211be615e1c936412a79a2f1e586661e7ad2521d607f91","first_computed_at":"2026-05-18T00:32:24.315987Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:24.315987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l98RkC/irXFVRJMhSouCOuToXkFGf1/Xf+HNylqLDxkh4ouqxJ9TbUiaZVfWlmgQCnza0WTJUkXRwz/q/lGNDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:24.316661Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.0687","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6c969e7ddf3d5d5435f7ddde0a984d32c0e9079966080517ff214d7b6171f35","sha256:8040e444ecde1e6826fc5da0f0c10c4f8ca2450d00923d0edb7baca2ef9c2680"],"state_sha256":"ede7b52456e412a1ca0322712c994ab43f87fe5b71d427a3b4696f5de8cb1cef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HaHJH+NHRLlEoQ/Sagsr8gMQK1fPPLO/oTlfrqvRGGH6FjujCvsvtgBV1YXQy4PU79YOYaO21rtxlpoWILIkBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T21:57:14.329851Z","bundle_sha256":"9ded32a6fc8d534ef2cf51b55e948bcf08205d1bbe7c96895f587781eff6df86"}}