{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:47DFPM3Z63LLUPM6YELMMDYT37","short_pith_number":"pith:47DFPM3Z","canonical_record":{"source":{"id":"1211.3951","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-11-16T16:48:47Z","cross_cats_sorted":["cs.SI","physics.data-an","physics.soc-ph"],"title_canon_sha256":"0af3432b8f43a4d17be49a377a725bcc42bfb38f4fa64e6608efc250bdb1ca89","abstract_canon_sha256":"d50b1f1efa633f472b5d8793717a0d9f408c2a32cefa39e7b8597e18163d3d7a"},"schema_version":"1.0"},"canonical_sha256":"e7c657b379f6d6ba3d9ec116c60f13dfc3d1c4533bbcc2caed2480d108aecd9a","source":{"kind":"arxiv","id":"1211.3951","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.3951","created_at":"2026-05-18T03:01:46Z"},{"alias_kind":"arxiv_version","alias_value":"1211.3951v2","created_at":"2026-05-18T03:01:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3951","created_at":"2026-05-18T03:01:46Z"},{"alias_kind":"pith_short_12","alias_value":"47DFPM3Z63LL","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"47DFPM3Z63LLUPM6","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"47DFPM3Z","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:47DFPM3Z63LLUPM6YELMMDYT37","target":"record","payload":{"canonical_record":{"source":{"id":"1211.3951","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-11-16T16:48:47Z","cross_cats_sorted":["cs.SI","physics.data-an","physics.soc-ph"],"title_canon_sha256":"0af3432b8f43a4d17be49a377a725bcc42bfb38f4fa64e6608efc250bdb1ca89","abstract_canon_sha256":"d50b1f1efa633f472b5d8793717a0d9f408c2a32cefa39e7b8597e18163d3d7a"},"schema_version":"1.0"},"canonical_sha256":"e7c657b379f6d6ba3d9ec116c60f13dfc3d1c4533bbcc2caed2480d108aecd9a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:01:46.937931Z","signature_b64":"CNSn36MSzkpkoxNxR13GiZbwMUi7tw0HyrGJi0Lf61DWyGKcm6MKbCBYDPWeIJuY7Ob72nPUQ71zg14iR5bLDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7c657b379f6d6ba3d9ec116c60f13dfc3d1c4533bbcc2caed2480d108aecd9a","last_reissued_at":"2026-05-18T03:01:46.937521Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:01:46.937521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.3951","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:01:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1ZHDDoU10SQtrYO7ps/zPZul6AirHd6ZuMRgd3elK8Lqh7lF4ajZoHJrlt8PM4TGmAX1njaaf/8IK6kWxPAvDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T00:00:10.807551Z"},"content_sha256":"71f33e2b42c623c7693d4f6880414068cc72064e285a001f1db8c8b35a4d50f9","schema_version":"1.0","event_id":"sha256:71f33e2b42c623c7693d4f6880414068cc72064e285a001f1db8c8b35a4d50f9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:47DFPM3Z63LLUPM6YELMMDYT37","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Composite Centrality: A Natural Scale for Complex Evolving Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI","physics.data-an","physics.soc-ph"],"primary_cat":"stat.ME","authors_text":"Andreas Joseph, Guanrong Chen","submitted_at":"2012-11-16T16:48:47Z","abstract_excerpt":"We derive a composite centrality measure for general weighted and directed complex networks, based on measure standardisation and invariant statistical inheritance schemes. Different schemes generate different intermediate abstract measures providing additional information, while the composite centrality measure tends to the standard normal distribution. This offers a unified scale to measure node and edge centralities for complex evolving networks under a uniform framework. Considering two real-world cases of the world trade web and the world migration web, both during a time span of 40 years"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3951","kind":"arxiv","version":2},"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":"2026-05-18T03:01:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ahT6FElL4fZfGr9KXNyb2FoWeQiCZcb5NBSKmHbdGHfZlEz5dYHihT7QFz8qR2wfNwi/ox+cZSw0QtJZOnoiBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T00:00:10.807894Z"},"content_sha256":"82420f5bae6efa30386e502e8e94366ccfdb19604f62d132a66f375bdff0be70","schema_version":"1.0","event_id":"sha256:82420f5bae6efa30386e502e8e94366ccfdb19604f62d132a66f375bdff0be70"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/47DFPM3Z63LLUPM6YELMMDYT37/bundle.json","state_url":"https://pith.science/pith/47DFPM3Z63LLUPM6YELMMDYT37/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/47DFPM3Z63LLUPM6YELMMDYT37/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":"2026-06-23T00:00:10Z","links":{"resolver":"https://pith.science/pith/47DFPM3Z63LLUPM6YELMMDYT37","bundle":"https://pith.science/pith/47DFPM3Z63LLUPM6YELMMDYT37/bundle.json","state":"https://pith.science/pith/47DFPM3Z63LLUPM6YELMMDYT37/state.json","well_known_bundle":"https://pith.science/.well-known/pith/47DFPM3Z63LLUPM6YELMMDYT37/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:47DFPM3Z63LLUPM6YELMMDYT37","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":"d50b1f1efa633f472b5d8793717a0d9f408c2a32cefa39e7b8597e18163d3d7a","cross_cats_sorted":["cs.SI","physics.data-an","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-11-16T16:48:47Z","title_canon_sha256":"0af3432b8f43a4d17be49a377a725bcc42bfb38f4fa64e6608efc250bdb1ca89"},"schema_version":"1.0","source":{"id":"1211.3951","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.3951","created_at":"2026-05-18T03:01:46Z"},{"alias_kind":"arxiv_version","alias_value":"1211.3951v2","created_at":"2026-05-18T03:01:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3951","created_at":"2026-05-18T03:01:46Z"},{"alias_kind":"pith_short_12","alias_value":"47DFPM3Z63LL","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"47DFPM3Z63LLUPM6","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"47DFPM3Z","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:82420f5bae6efa30386e502e8e94366ccfdb19604f62d132a66f375bdff0be70","target":"graph","created_at":"2026-05-18T03:01:46Z","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":"We derive a composite centrality measure for general weighted and directed complex networks, based on measure standardisation and invariant statistical inheritance schemes. Different schemes generate different intermediate abstract measures providing additional information, while the composite centrality measure tends to the standard normal distribution. This offers a unified scale to measure node and edge centralities for complex evolving networks under a uniform framework. Considering two real-world cases of the world trade web and the world migration web, both during a time span of 40 years","authors_text":"Andreas Joseph, Guanrong Chen","cross_cats":["cs.SI","physics.data-an","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-11-16T16:48:47Z","title":"Composite Centrality: A Natural Scale for Complex Evolving Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3951","kind":"arxiv","version":2},"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":"sha256:71f33e2b42c623c7693d4f6880414068cc72064e285a001f1db8c8b35a4d50f9","target":"record","created_at":"2026-05-18T03:01:46Z","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":"d50b1f1efa633f472b5d8793717a0d9f408c2a32cefa39e7b8597e18163d3d7a","cross_cats_sorted":["cs.SI","physics.data-an","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-11-16T16:48:47Z","title_canon_sha256":"0af3432b8f43a4d17be49a377a725bcc42bfb38f4fa64e6608efc250bdb1ca89"},"schema_version":"1.0","source":{"id":"1211.3951","kind":"arxiv","version":2}},"canonical_sha256":"e7c657b379f6d6ba3d9ec116c60f13dfc3d1c4533bbcc2caed2480d108aecd9a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7c657b379f6d6ba3d9ec116c60f13dfc3d1c4533bbcc2caed2480d108aecd9a","first_computed_at":"2026-05-18T03:01:46.937521Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:46.937521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CNSn36MSzkpkoxNxR13GiZbwMUi7tw0HyrGJi0Lf61DWyGKcm6MKbCBYDPWeIJuY7Ob72nPUQ71zg14iR5bLDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:46.937931Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.3951","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71f33e2b42c623c7693d4f6880414068cc72064e285a001f1db8c8b35a4d50f9","sha256:82420f5bae6efa30386e502e8e94366ccfdb19604f62d132a66f375bdff0be70"],"state_sha256":"2f0a1f64ea4e0582dfa3228ef556095c378b6f82940bc5f86a1a0372aa5206f3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3n3bDxtoun/k+MSulRlTl1NtWHRcLdZg0IqSy5WP0+fM8YCd21BlXH2xtpCcaW83bkrXFvbCQ83avnZAiTxgCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T00:00:10.809984Z","bundle_sha256":"7083462ce85eca9e063f0e6288c8d077f90ae6d7a757ea4829a2b5d422b35a65"}}