{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FO72ARPMK4E2X7IVEA5G6D266S","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":"c63acc2b828676f6869f18a961e8bb913e09c71284cf5db37e9d5603d55538af","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-02-19T00:31:33Z","title_canon_sha256":"e7cb84ad631e23012e6b83604b796dc8838c58200572607474ff2e5028037a56"},"schema_version":"1.0","source":{"id":"1402.4536","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4536","created_at":"2026-05-18T01:25:03Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4536v2","created_at":"2026-05-18T01:25:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4536","created_at":"2026-05-18T01:25:03Z"},{"alias_kind":"pith_short_12","alias_value":"FO72ARPMK4E2","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FO72ARPMK4E2X7IV","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FO72ARPM","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:f6e96036e77e1b6b087eca8ea12e8b0673ef3861671d66cfad41d7e60f45cfa3","target":"graph","created_at":"2026-05-18T01:25:03Z","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 role of skill (fitness) and luck (randomness) as driving forces on the dynamics of resource accumulation in a myriad of systems have long puzzled scientists. Fueled by undisputed inequalities that emerge from actual competitions, there is a pressing need for better understanding the effects of skill and luck in resource accumulation. When such competitions are driven by externalities such as cumulative advantage (CA), the rich-get-richer effect, little is known with respect to fundamental properties such as their duration and intensity. In this work we provide a mathematical understanding ","authors_text":"Bo Jiang, Bruno Ribeiro, Daniel R. Figueiredo, Don Towsley, Liyuan Sun","cross_cats":["q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-02-19T00:31:33Z","title":"On the duration and intensity of cumulative advantage competitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4536","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":"sha256:4a5792a1def6b9c3f74aed0983e3b4724a0eff4ea233f491a1ddb5953c7b3690","target":"record","created_at":"2026-05-18T01:25:03Z","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":"c63acc2b828676f6869f18a961e8bb913e09c71284cf5db37e9d5603d55538af","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-02-19T00:31:33Z","title_canon_sha256":"e7cb84ad631e23012e6b83604b796dc8838c58200572607474ff2e5028037a56"},"schema_version":"1.0","source":{"id":"1402.4536","kind":"arxiv","version":2}},"canonical_sha256":"2bbfa045ec5709abfd15203a6f0f5ef4bbac03277ec98d4efde9881d70c9643d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2bbfa045ec5709abfd15203a6f0f5ef4bbac03277ec98d4efde9881d70c9643d","first_computed_at":"2026-05-18T01:25:03.811839Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:03.811839Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tXexzTRfvJ2/2M2VybWThQqeEqa1ltPSrW55D4IyiCxXvGXgiNhhkkzytLFIAtAbmxN5GkALwM0NTbxfuQgHAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:03.812522Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.4536","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a5792a1def6b9c3f74aed0983e3b4724a0eff4ea233f491a1ddb5953c7b3690","sha256:f6e96036e77e1b6b087eca8ea12e8b0673ef3861671d66cfad41d7e60f45cfa3"],"state_sha256":"7279d55cc6be39efcd17f317dc4554ec59ff2f305c56fc3cb8a966a2baca00c2"}