{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:LPB6LQQ33NQEPY6GKU2MYN7S74","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":"09ab82b11292acfda77e12ec2934c39a609e2ac8d3d7b78747ab701c47d3140d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2008-09-02T20:17:26Z","title_canon_sha256":"6e5acb741c8703eb2bf7488778062a705ca4b4660b3285b04ffbd81644ff5b67"},"schema_version":"1.0","source":{"id":"0809.0514","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.0514","created_at":"2026-07-04T17:12:33Z"},{"alias_kind":"arxiv_version","alias_value":"0809.0514v6","created_at":"2026-07-04T17:12:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.0514","created_at":"2026-07-04T17:12:33Z"},{"alias_kind":"pith_short_12","alias_value":"LPB6LQQ33NQE","created_at":"2026-07-04T17:12:33Z"},{"alias_kind":"pith_short_16","alias_value":"LPB6LQQ33NQEPY6G","created_at":"2026-07-04T17:12:33Z"},{"alias_kind":"pith_short_8","alias_value":"LPB6LQQ3","created_at":"2026-07-04T17:12:33Z"}],"graph_snapshots":[{"event_id":"sha256:b5cdae8ad9594c1733159bf0fda388b35bfdbed6c1f2cb00c4c077c2c6336b39","target":"graph","created_at":"2026-07-04T17:12:33Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0809.0514/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a new node centrality measure in networks, the lobby index, which is inspired by Hirsch's h-index. It is shown that in scale free networks the l-index has power tail with exponent square of the exponent of the degree distribution one. Properties of the l-index and extensions are discussed.","authors_text":"A. Korn, A. Schubert, A. Telcs","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2008-09-02T20:17:26Z","title":"Lobby index in networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.0514","kind":"arxiv","version":6},"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:d8d538e32610258284186d815927130e710652e7cbbec2c86d512122cb417bf7","target":"record","created_at":"2026-07-04T17:12:33Z","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":"09ab82b11292acfda77e12ec2934c39a609e2ac8d3d7b78747ab701c47d3140d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2008-09-02T20:17:26Z","title_canon_sha256":"6e5acb741c8703eb2bf7488778062a705ca4b4660b3285b04ffbd81644ff5b67"},"schema_version":"1.0","source":{"id":"0809.0514","kind":"arxiv","version":6}},"canonical_sha256":"5bc3e5c21bdb6047e3c65534cc37f2ff3146c0456d628ddd1265894b4f1fb1c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5bc3e5c21bdb6047e3c65534cc37f2ff3146c0456d628ddd1265894b4f1fb1c6","first_computed_at":"2026-07-04T17:12:33.800230Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:12:33.800230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BpXctrBDnwVkdJ6spXIFsDLeuDNF+qHZlkLWUtBI65NUi67OkCHtKPy9Fq76NZ0bR1Jqctf29LAkk6W/exDkBA==","signature_status":"signed_v1","signed_at":"2026-07-04T17:12:33.800583Z","signed_message":"canonical_sha256_bytes"},"source_id":"0809.0514","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d8d538e32610258284186d815927130e710652e7cbbec2c86d512122cb417bf7","sha256:b5cdae8ad9594c1733159bf0fda388b35bfdbed6c1f2cb00c4c077c2c6336b39"],"state_sha256":"4e368790c98f1165e76cacf9a65c06d600f103e23c08ba01b51898cb60af51d2"}