{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:OTSBEACLWUDNR2WLNGLMO3NK7E","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":"acaf47fa28ee68f12b34ba4ead0f439daf1b3dff3f4a67717ce79b76589646d3","cross_cats_sorted":["cs.SI","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IR","submitted_at":"2011-04-15T23:51:16Z","title_canon_sha256":"c6a84a3071163e04ed44280ebca588fb71220f279cefa40c2980aeff8b26356f"},"schema_version":"1.0","source":{"id":"1104.3179","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3179","created_at":"2026-05-18T04:03:43Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3179v1","created_at":"2026-05-18T04:03:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3179","created_at":"2026-05-18T04:03:43Z"},{"alias_kind":"pith_short_12","alias_value":"OTSBEACLWUDN","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"OTSBEACLWUDNR2WL","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"OTSBEACL","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:202950e5c3a464458fb84a11862adeaa776a30086bfa6bd51604af0b5dbc9f25","target":"graph","created_at":"2026-05-18T04:03:43Z","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":"Allometric growth is found in many tagging systems online. That is, the number of new tags (T) is a power law function of the active population (P), or T P^gamma (gamma!=1). According to previous studies, it is the heterogeneity in individual tagging behavior that gives rise to allometric growth. These studies consider the power-law distribution model with an exponent beta, regarding 1/beta as an index for heterogeneity. However, they did not discuss whether power-law is the only distribution that leads to allometric growth, or equivalently, whether the positive correlation between heterogenei","authors_text":"Chengjun Wang, Lingfei Wu","cross_cats":["cs.SI","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IR","submitted_at":"2011-04-15T23:51:16Z","title":"Heterogeneity and Allometric Growth of Human Collaborative Tagging Behavior"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3179","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":"sha256:27d255c204b9109aa5b21b221f93b9a97f9a034ff46c45a79d6d1b1a377c3c54","target":"record","created_at":"2026-05-18T04:03:43Z","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":"acaf47fa28ee68f12b34ba4ead0f439daf1b3dff3f4a67717ce79b76589646d3","cross_cats_sorted":["cs.SI","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IR","submitted_at":"2011-04-15T23:51:16Z","title_canon_sha256":"c6a84a3071163e04ed44280ebca588fb71220f279cefa40c2980aeff8b26356f"},"schema_version":"1.0","source":{"id":"1104.3179","kind":"arxiv","version":1}},"canonical_sha256":"74e412004bb506d8eacb6996c76daaf91f3cadf96aa93cb11270e978a7dad624","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74e412004bb506d8eacb6996c76daaf91f3cadf96aa93cb11270e978a7dad624","first_computed_at":"2026-05-18T04:03:43.266365Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:43.266365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"suj5G/Ve2gUjX3/gfhjtvoK+EsnLBj+zzx9BCfChVvstdH94eFkP+NNhZO45c7OiPl8H3Q8Q3ymXA1Bu6/RpBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:43.268597Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.3179","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27d255c204b9109aa5b21b221f93b9a97f9a034ff46c45a79d6d1b1a377c3c54","sha256:202950e5c3a464458fb84a11862adeaa776a30086bfa6bd51604af0b5dbc9f25"],"state_sha256":"0078ad7fc87a59c7fe4756b70a7102f535ac27487ea70e9a7a88ec6e73b9c5e7"}