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Using both the fixed point of $s_2/s_1$ and the straight line of $\\ln s_1$, where $s_1$ and $s_2$ are the reduced sizes of the largest and the second largest cluster, we demons"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1201.2507","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-01-12T09:04:56Z","cross_cats_sorted":[],"title_canon_sha256":"25f5c9b19b5aebdabcabc0c3a2572a3364cff83959ff5465f5db2dbb7ec88cd8","abstract_canon_sha256":"a8e53e4c795d733224933079b09b61d6d3ce382a4841ea6486400b95a8824e8e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:04:44.288146Z","signature_b64":"+q13E7xCkNc0FR5lOnltog7hGcorvrOZqhIry5/F1rD34YRXOzEy6i5/0qm6oAo5u67LcE/RE+xH+8ilesb6AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c7a08c27acb9246f80a350cb6cd831308130e708fbd7db461c2d8c5d15dddd6","last_reissued_at":"2026-05-18T04:04:44.287658Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:04:44.287658Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Continuous percolation phase transitions of random networks under a generalized Achlioptas process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Jingfang Fan, Liangsheng Li, Maoxin Liu, Xiaosong Chen","submitted_at":"2012-01-12T09:04:56Z","abstract_excerpt":"Using the finite-size scaling, we have investigated the percolation phase transitions of evolving random networks under a generalized Achlioptas process (GAP). 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