{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:IX7OZPHRKSNOGVJL6XE63QZHLT","short_pith_number":"pith:IX7OZPHR","canonical_record":{"source":{"id":"1704.03526","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-04-11T20:28:09Z","cross_cats_sorted":["cond-mat.dis-nn","cs.SI"],"title_canon_sha256":"fe30cab6cbe540defb448ea226c740c3abd5b4b93aa498513e1ceaed67d4e289","abstract_canon_sha256":"588e8b8c6fcc0e63717c7ba76172a3a661a881a599d64e9d6f2cca7dfe8c5952"},"schema_version":"1.0"},"canonical_sha256":"45feecbcf1549ae3552bf5c9edc3275cd32eff290b69a86204d544c549b20b1e","source":{"kind":"arxiv","id":"1704.03526","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03526","created_at":"2026-05-18T00:46:28Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03526v1","created_at":"2026-05-18T00:46:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03526","created_at":"2026-05-18T00:46:28Z"},{"alias_kind":"pith_short_12","alias_value":"IX7OZPHRKSNO","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IX7OZPHRKSNOGVJL","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IX7OZPHR","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:IX7OZPHRKSNOGVJL6XE63QZHLT","target":"record","payload":{"canonical_record":{"source":{"id":"1704.03526","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-04-11T20:28:09Z","cross_cats_sorted":["cond-mat.dis-nn","cs.SI"],"title_canon_sha256":"fe30cab6cbe540defb448ea226c740c3abd5b4b93aa498513e1ceaed67d4e289","abstract_canon_sha256":"588e8b8c6fcc0e63717c7ba76172a3a661a881a599d64e9d6f2cca7dfe8c5952"},"schema_version":"1.0"},"canonical_sha256":"45feecbcf1549ae3552bf5c9edc3275cd32eff290b69a86204d544c549b20b1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:28.584566Z","signature_b64":"rGRzYeSCkMspVrp2CMVMhxOlHRivmZ21TQOI5un0HKGRKTntOe6HVRRLu38a4L6llH4u/3zl8lPjpSrbXIl3AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45feecbcf1549ae3552bf5c9edc3275cd32eff290b69a86204d544c549b20b1e","last_reissued_at":"2026-05-18T00:46:28.583597Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:28.583597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.03526","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":"2026-05-18T00:46:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AKfCOMsStEQBkvjzDqroc8olk90vGPo84hgKNBsStvN0bj2AjeorQ3/p3lNbnMZWlGC6vCF3apmFafrQ6s5cCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T04:02:00.277238Z"},"content_sha256":"c8b184f742f8bb9911e306d21f386e5d361b78eb4baff1204ea087d85ea129e5","schema_version":"1.0","event_id":"sha256:c8b184f742f8bb9911e306d21f386e5d361b78eb4baff1204ea087d85ea129e5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:IX7OZPHRKSNOGVJL6XE63QZHLT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rich-clubness test: how to determine whether a complex network has or doesn't have a rich-club?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Alessandro Muscoloni, Carlo Vittorio Cannistraci","submitted_at":"2017-04-11T20:28:09Z","abstract_excerpt":"The rich-club concept has been introduced in order to characterize the presence of a cohort of nodes with a large number of links (rich nodes) that tend to be well connected between each other, creating a tight group (club). Rich-clubness defines the extent to which a network displays a topological organization characterized by the presence of a node rich-club. It is crucial for the investigation of internal organization and function of networks arising in systems of disparate fields such as transportation, social, communication and neuroscience. Different methods have been proposed for assess"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03526","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":"2026-05-18T00:46:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bceIi2aXOVYTAqcFbro1ahBO4fdnGJWBo6MbOVGXQc6Tti0e6txomcYphFvqWsO0RKodIagyrfI4ncA0HfqQCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T04:02:00.277920Z"},"content_sha256":"e1a76569f6b095a58d43982ee1942193eafe39e4da648ec9cc4729be79a80b38","schema_version":"1.0","event_id":"sha256:e1a76569f6b095a58d43982ee1942193eafe39e4da648ec9cc4729be79a80b38"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IX7OZPHRKSNOGVJL6XE63QZHLT/bundle.json","state_url":"https://pith.science/pith/IX7OZPHRKSNOGVJL6XE63QZHLT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IX7OZPHRKSNOGVJL6XE63QZHLT/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":"2026-06-11T04:02:00Z","links":{"resolver":"https://pith.science/pith/IX7OZPHRKSNOGVJL6XE63QZHLT","bundle":"https://pith.science/pith/IX7OZPHRKSNOGVJL6XE63QZHLT/bundle.json","state":"https://pith.science/pith/IX7OZPHRKSNOGVJL6XE63QZHLT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IX7OZPHRKSNOGVJL6XE63QZHLT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IX7OZPHRKSNOGVJL6XE63QZHLT","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":"588e8b8c6fcc0e63717c7ba76172a3a661a881a599d64e9d6f2cca7dfe8c5952","cross_cats_sorted":["cond-mat.dis-nn","cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-04-11T20:28:09Z","title_canon_sha256":"fe30cab6cbe540defb448ea226c740c3abd5b4b93aa498513e1ceaed67d4e289"},"schema_version":"1.0","source":{"id":"1704.03526","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03526","created_at":"2026-05-18T00:46:28Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03526v1","created_at":"2026-05-18T00:46:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03526","created_at":"2026-05-18T00:46:28Z"},{"alias_kind":"pith_short_12","alias_value":"IX7OZPHRKSNO","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IX7OZPHRKSNOGVJL","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IX7OZPHR","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:e1a76569f6b095a58d43982ee1942193eafe39e4da648ec9cc4729be79a80b38","target":"graph","created_at":"2026-05-18T00:46:28Z","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 rich-club concept has been introduced in order to characterize the presence of a cohort of nodes with a large number of links (rich nodes) that tend to be well connected between each other, creating a tight group (club). Rich-clubness defines the extent to which a network displays a topological organization characterized by the presence of a node rich-club. It is crucial for the investigation of internal organization and function of networks arising in systems of disparate fields such as transportation, social, communication and neuroscience. Different methods have been proposed for assess","authors_text":"Alessandro Muscoloni, Carlo Vittorio Cannistraci","cross_cats":["cond-mat.dis-nn","cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-04-11T20:28:09Z","title":"Rich-clubness test: how to determine whether a complex network has or doesn't have a rich-club?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03526","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:c8b184f742f8bb9911e306d21f386e5d361b78eb4baff1204ea087d85ea129e5","target":"record","created_at":"2026-05-18T00:46:28Z","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":"588e8b8c6fcc0e63717c7ba76172a3a661a881a599d64e9d6f2cca7dfe8c5952","cross_cats_sorted":["cond-mat.dis-nn","cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-04-11T20:28:09Z","title_canon_sha256":"fe30cab6cbe540defb448ea226c740c3abd5b4b93aa498513e1ceaed67d4e289"},"schema_version":"1.0","source":{"id":"1704.03526","kind":"arxiv","version":1}},"canonical_sha256":"45feecbcf1549ae3552bf5c9edc3275cd32eff290b69a86204d544c549b20b1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45feecbcf1549ae3552bf5c9edc3275cd32eff290b69a86204d544c549b20b1e","first_computed_at":"2026-05-18T00:46:28.583597Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:28.583597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rGRzYeSCkMspVrp2CMVMhxOlHRivmZ21TQOI5un0HKGRKTntOe6HVRRLu38a4L6llH4u/3zl8lPjpSrbXIl3AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:28.584566Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.03526","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8b184f742f8bb9911e306d21f386e5d361b78eb4baff1204ea087d85ea129e5","sha256:e1a76569f6b095a58d43982ee1942193eafe39e4da648ec9cc4729be79a80b38"],"state_sha256":"e11f79725327e239098375a3dce2457aaef0551c35589082e9675764b905d447"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/XU0feYxkoCkybg908akAYM2jmuftlE3z30PntTJ0LIJxgmfNFUkutu6mxcpxeKuDU5FD9x0IeXTmsPAdhWsAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T04:02:00.281065Z","bundle_sha256":"126534d13f03bdd1096d95d119f42c89b2d9268c27a67e10b8dacd6ec8806094"}}