{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ZBRQ7UH3DIMEM5MUXIC5QDPH4V","short_pith_number":"pith:ZBRQ7UH3","schema_version":"1.0","canonical_sha256":"c8630fd0fb1a18467594ba05d80de7e54336be43522a5dae43701925aaf4dbde","source":{"kind":"arxiv","id":"1404.2668","version":2},"attestation_state":"computed","paper":{"title":"How Complex Contagions Spread Quickly in the Preferential Attachment Model and Other Time-Evolving Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"cs.SI","authors_text":"Golnaz Ghasemiesfeh, Grant Schoenebeck, Jie Gao, Roozbeh Ebrahimi","submitted_at":"2014-04-10T02:09:25Z","abstract_excerpt":"In this paper, we study the spreading speed of complex contagions in a social network. A $k$-complex contagion starts from a set of initially infected seeds such that any node with at least $k$ infected neighbors gets infected. Simple contagions, i.e., $k=1$, quickly spread to the entire network in small world graphs. However, fast spreading of complex contagions appears to be less likely and more delicate; the successful cases depend crucially on the network structure~\\cite{G08,Ghasemiesfeh:2013:CCW}.\n  Our main result shows that complex contagions can spread fast in a general family of time-"},"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":"1404.2668","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2014-04-10T02:09:25Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"8bda24ed4d3fa2de53ce4581a094d76b58e7c17a793a4ddb4045cc7bbe7f80ce","abstract_canon_sha256":"f9cb62b88525e4b3fe9b2c7466c0efd21caf66dde9ec43c3c494579b33cccbbf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:31.444006Z","signature_b64":"9JzQrWq3LlBUef1DO2RXbXquEkF30cUcXbuJamCUSuOVN2gNvYbFIrxpaumrFuFQurmq692cxm5XaRLPpNN9DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c8630fd0fb1a18467594ba05d80de7e54336be43522a5dae43701925aaf4dbde","last_reissued_at":"2026-05-18T02:45:31.443365Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:31.443365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"How Complex Contagions Spread Quickly in the Preferential Attachment Model and Other Time-Evolving Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"cs.SI","authors_text":"Golnaz Ghasemiesfeh, Grant Schoenebeck, Jie Gao, Roozbeh Ebrahimi","submitted_at":"2014-04-10T02:09:25Z","abstract_excerpt":"In this paper, we study the spreading speed of complex contagions in a social network. A $k$-complex contagion starts from a set of initially infected seeds such that any node with at least $k$ infected neighbors gets infected. Simple contagions, i.e., $k=1$, quickly spread to the entire network in small world graphs. However, fast spreading of complex contagions appears to be less likely and more delicate; the successful cases depend crucially on the network structure~\\cite{G08,Ghasemiesfeh:2013:CCW}.\n  Our main result shows that complex contagions can spread fast in a general family of time-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.2668","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1404.2668","created_at":"2026-05-18T02:45:31.443486+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.2668v2","created_at":"2026-05-18T02:45:31.443486+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.2668","created_at":"2026-05-18T02:45:31.443486+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZBRQ7UH3DIME","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZBRQ7UH3DIMEM5MU","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZBRQ7UH3","created_at":"2026-05-18T12:28:59.999130+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZBRQ7UH3DIMEM5MUXIC5QDPH4V","json":"https://pith.science/pith/ZBRQ7UH3DIMEM5MUXIC5QDPH4V.json","graph_json":"https://pith.science/api/pith-number/ZBRQ7UH3DIMEM5MUXIC5QDPH4V/graph.json","events_json":"https://pith.science/api/pith-number/ZBRQ7UH3DIMEM5MUXIC5QDPH4V/events.json","paper":"https://pith.science/paper/ZBRQ7UH3"},"agent_actions":{"view_html":"https://pith.science/pith/ZBRQ7UH3DIMEM5MUXIC5QDPH4V","download_json":"https://pith.science/pith/ZBRQ7UH3DIMEM5MUXIC5QDPH4V.json","view_paper":"https://pith.science/paper/ZBRQ7UH3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.2668&json=true","fetch_graph":"https://pith.science/api/pith-number/ZBRQ7UH3DIMEM5MUXIC5QDPH4V/graph.json","fetch_events":"https://pith.science/api/pith-number/ZBRQ7UH3DIMEM5MUXIC5QDPH4V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZBRQ7UH3DIMEM5MUXIC5QDPH4V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZBRQ7UH3DIMEM5MUXIC5QDPH4V/action/storage_attestation","attest_author":"https://pith.science/pith/ZBRQ7UH3DIMEM5MUXIC5QDPH4V/action/author_attestation","sign_citation":"https://pith.science/pith/ZBRQ7UH3DIMEM5MUXIC5QDPH4V/action/citation_signature","submit_replication":"https://pith.science/pith/ZBRQ7UH3DIMEM5MUXIC5QDPH4V/action/replication_record"}},"created_at":"2026-05-18T02:45:31.443486+00:00","updated_at":"2026-05-18T02:45:31.443486+00:00"}