{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:NZQYA5SJ2KSUKTTFFCHBJXS6OE","short_pith_number":"pith:NZQYA5SJ","canonical_record":{"source":{"id":"physics/0602134","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.data-an","submitted_at":"2006-02-20T22:15:55Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"67bc4a038a992292ec14333a4e7c14cc123b0d7f8e9a2913a7d1e085a4ae3609","abstract_canon_sha256":"ce85318a8f5de1b0be8b8f0b31b7d175861a9fd7cac4d07ce107c8ebe390734c"},"schema_version":"1.0"},"canonical_sha256":"6e61807649d2a5454e65288e14de5e7103760505ff99ea5f7fc928b266d8e784","source":{"kind":"arxiv","id":"physics/0602134","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0602134","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0602134v1","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0602134","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"pith_short_12","alias_value":"NZQYA5SJ2KSU","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"NZQYA5SJ2KSUKTTF","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"NZQYA5SJ","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:NZQYA5SJ2KSUKTTFFCHBJXS6OE","target":"record","payload":{"canonical_record":{"source":{"id":"physics/0602134","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.data-an","submitted_at":"2006-02-20T22:15:55Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"67bc4a038a992292ec14333a4e7c14cc123b0d7f8e9a2913a7d1e085a4ae3609","abstract_canon_sha256":"ce85318a8f5de1b0be8b8f0b31b7d175861a9fd7cac4d07ce107c8ebe390734c"},"schema_version":"1.0"},"canonical_sha256":"6e61807649d2a5454e65288e14de5e7103760505ff99ea5f7fc928b266d8e784","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:07.234924Z","signature_b64":"yRTL0VT/ESRycsjnnzagFan3P8gore9ouCSgfvqe/GoHeG5zKnprDMssQxgjf2MR+i+WQ4h4pGvugkk7eo2jAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e61807649d2a5454e65288e14de5e7103760505ff99ea5f7fc928b266d8e784","last_reissued_at":"2026-05-18T01:38:07.234436Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:07.234436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/0602134","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":"2026-05-18T01:38:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/01F8sW6xldGnqUShwOZINbLf6VdjUGT1yle3fuyknykrUAXv+HCHVvFajRgp6+6SmCCjeF0fSb+E/nWHRBYBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T14:43:40.886410Z"},"content_sha256":"6666f47d139031c36b54f917745ef293dfc83be7276c76665d4100bff44b5051","schema_version":"1.0","event_id":"sha256:6666f47d139031c36b54f917745ef293dfc83be7276c76665d4100bff44b5051"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:NZQYA5SJ2KSUKTTFFCHBJXS6OE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Detecting rich-club ordering in complex networks","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"physics.data-an","authors_text":"Alessandro Flammini, Alessandro Vespignani, M. Angeles Serrano, Vittoria Colizza","submitted_at":"2006-02-20T22:15:55Z","abstract_excerpt":"Uncovering the hidden regularities and organizational principles of networks arising in physical systems ranging from the molecular level to the scale of large communication infrastructures is the key issue for the understanding of their fabric and dynamical properties [1-5]. The ``rich-club'' phenomenon refers to the tendency of nodes with high centrality, the dominant elements of the system, to form tightly interconnected communities and it is one of the crucial properties accounting for the formation of dominant communities in both computer and social sciences [4-8]. Here we provide the ana"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0602134","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":"2026-05-18T01:38:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RAIAy/cWGTnJb4UVcxUOSSjroBD4uc7JC/XqoW41lwj8PoIQUzPbSavmlh/04N3mHTHMgLCSAUMFB18T+/+cCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T14:43:40.886770Z"},"content_sha256":"af7db7d10b379c6ac9a276c2c7952abd418bf95184de216e02b6f97d66db43c8","schema_version":"1.0","event_id":"sha256:af7db7d10b379c6ac9a276c2c7952abd418bf95184de216e02b6f97d66db43c8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NZQYA5SJ2KSUKTTFFCHBJXS6OE/bundle.json","state_url":"https://pith.science/pith/NZQYA5SJ2KSUKTTFFCHBJXS6OE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NZQYA5SJ2KSUKTTFFCHBJXS6OE/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":"2026-05-30T14:43:40Z","links":{"resolver":"https://pith.science/pith/NZQYA5SJ2KSUKTTFFCHBJXS6OE","bundle":"https://pith.science/pith/NZQYA5SJ2KSUKTTFFCHBJXS6OE/bundle.json","state":"https://pith.science/pith/NZQYA5SJ2KSUKTTFFCHBJXS6OE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NZQYA5SJ2KSUKTTFFCHBJXS6OE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:NZQYA5SJ2KSUKTTFFCHBJXS6OE","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":"ce85318a8f5de1b0be8b8f0b31b7d175861a9fd7cac4d07ce107c8ebe390734c","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"physics.data-an","submitted_at":"2006-02-20T22:15:55Z","title_canon_sha256":"67bc4a038a992292ec14333a4e7c14cc123b0d7f8e9a2913a7d1e085a4ae3609"},"schema_version":"1.0","source":{"id":"physics/0602134","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0602134","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0602134v1","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0602134","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"pith_short_12","alias_value":"NZQYA5SJ2KSU","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"NZQYA5SJ2KSUKTTF","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"NZQYA5SJ","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:af7db7d10b379c6ac9a276c2c7952abd418bf95184de216e02b6f97d66db43c8","target":"graph","created_at":"2026-05-18T01:38:07Z","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":"Uncovering the hidden regularities and organizational principles of networks arising in physical systems ranging from the molecular level to the scale of large communication infrastructures is the key issue for the understanding of their fabric and dynamical properties [1-5]. The ``rich-club'' phenomenon refers to the tendency of nodes with high centrality, the dominant elements of the system, to form tightly interconnected communities and it is one of the crucial properties accounting for the formation of dominant communities in both computer and social sciences [4-8]. Here we provide the ana","authors_text":"Alessandro Flammini, Alessandro Vespignani, M. Angeles Serrano, Vittoria Colizza","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"physics.data-an","submitted_at":"2006-02-20T22:15:55Z","title":"Detecting rich-club ordering in complex networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0602134","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":"sha256:6666f47d139031c36b54f917745ef293dfc83be7276c76665d4100bff44b5051","target":"record","created_at":"2026-05-18T01:38:07Z","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":"ce85318a8f5de1b0be8b8f0b31b7d175861a9fd7cac4d07ce107c8ebe390734c","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"physics.data-an","submitted_at":"2006-02-20T22:15:55Z","title_canon_sha256":"67bc4a038a992292ec14333a4e7c14cc123b0d7f8e9a2913a7d1e085a4ae3609"},"schema_version":"1.0","source":{"id":"physics/0602134","kind":"arxiv","version":1}},"canonical_sha256":"6e61807649d2a5454e65288e14de5e7103760505ff99ea5f7fc928b266d8e784","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e61807649d2a5454e65288e14de5e7103760505ff99ea5f7fc928b266d8e784","first_computed_at":"2026-05-18T01:38:07.234436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:07.234436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yRTL0VT/ESRycsjnnzagFan3P8gore9ouCSgfvqe/GoHeG5zKnprDMssQxgjf2MR+i+WQ4h4pGvugkk7eo2jAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:07.234924Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0602134","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6666f47d139031c36b54f917745ef293dfc83be7276c76665d4100bff44b5051","sha256:af7db7d10b379c6ac9a276c2c7952abd418bf95184de216e02b6f97d66db43c8"],"state_sha256":"57f70cd9a9f106c0e83957b7d06cefc3ca6022f434130b82b37adb27a205099f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eL8y1W7HbWre+tyklT6hGhz+XRb4wEuVLIVmfRDHUfLfacY2kEam5/U1Dvuujf0IfUbkRhYW8ULeVMHb7PUMCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T14:43:40.889143Z","bundle_sha256":"d0cd94c05aa98ae797a04569d88714214071685896bf8e1d04f79e1c45a9cc4e"}}