{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:VOXOZKX7WLXE7PKUNKBV5ER44S","short_pith_number":"pith:VOXOZKX7","schema_version":"1.0","canonical_sha256":"abaeecaaffb2ee4fbd546a835e923ce4a69724896a64767e2f294406e403c03a","source":{"kind":"arxiv","id":"1809.04581","version":2},"attestation_state":"computed","paper":{"title":"Going Viral: Stability of Consensus-Driven Adoptive Spread","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Keith Paarporn, Philip E. Par\\'e, Sebastian F. Ruf","submitted_at":"2018-09-12T17:43:58Z","abstract_excerpt":"The spread of new products in a networked population is often modeled as an epidemic. However, in the case of `complex' contagion, these models {do not capture nuanced, dynamic social reinforcement effects in adoption behavior}. In this paper, we investigate a model of complex contagion which allows a coevolutionary interplay between adoption, modeled as an SIS epidemic spreading process, and social reinforcement effects, modeled as consensus opinion dynamics. Asymptotic stability analysis of the all-adopt as well as the none-adopt equilibria of the combined opinion-adoption model is provided "},"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":"1809.04581","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-09-12T17:43:58Z","cross_cats_sorted":[],"title_canon_sha256":"7b32ad5e8d98971738bb4f8138f3f35490334fc7ca02e77133bba6d364e78691","abstract_canon_sha256":"630c66951a0226a896d41f9d6494ef4642f538b309ebd5208fa4aea8ccf287eb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:02.590144Z","signature_b64":"Z9Ear9cq4rzUozhRXbGJQbK9O2Ua5xKAtNZtfeLfp3Gs6VlwEkHBW45n80jE9FEf88cUgvf/5ibhHVlGc2TUBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"abaeecaaffb2ee4fbd546a835e923ce4a69724896a64767e2f294406e403c03a","last_reissued_at":"2026-05-17T23:54:02.589683Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:02.589683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Going Viral: Stability of Consensus-Driven Adoptive Spread","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Keith Paarporn, Philip E. Par\\'e, Sebastian F. Ruf","submitted_at":"2018-09-12T17:43:58Z","abstract_excerpt":"The spread of new products in a networked population is often modeled as an epidemic. However, in the case of `complex' contagion, these models {do not capture nuanced, dynamic social reinforcement effects in adoption behavior}. In this paper, we investigate a model of complex contagion which allows a coevolutionary interplay between adoption, modeled as an SIS epidemic spreading process, and social reinforcement effects, modeled as consensus opinion dynamics. Asymptotic stability analysis of the all-adopt as well as the none-adopt equilibria of the combined opinion-adoption model is provided "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.04581","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":"1809.04581","created_at":"2026-05-17T23:54:02.589749+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.04581v2","created_at":"2026-05-17T23:54:02.589749+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.04581","created_at":"2026-05-17T23:54:02.589749+00:00"},{"alias_kind":"pith_short_12","alias_value":"VOXOZKX7WLXE","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_16","alias_value":"VOXOZKX7WLXE7PKU","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_8","alias_value":"VOXOZKX7","created_at":"2026-05-18T12:32:59.047623+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/VOXOZKX7WLXE7PKUNKBV5ER44S","json":"https://pith.science/pith/VOXOZKX7WLXE7PKUNKBV5ER44S.json","graph_json":"https://pith.science/api/pith-number/VOXOZKX7WLXE7PKUNKBV5ER44S/graph.json","events_json":"https://pith.science/api/pith-number/VOXOZKX7WLXE7PKUNKBV5ER44S/events.json","paper":"https://pith.science/paper/VOXOZKX7"},"agent_actions":{"view_html":"https://pith.science/pith/VOXOZKX7WLXE7PKUNKBV5ER44S","download_json":"https://pith.science/pith/VOXOZKX7WLXE7PKUNKBV5ER44S.json","view_paper":"https://pith.science/paper/VOXOZKX7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.04581&json=true","fetch_graph":"https://pith.science/api/pith-number/VOXOZKX7WLXE7PKUNKBV5ER44S/graph.json","fetch_events":"https://pith.science/api/pith-number/VOXOZKX7WLXE7PKUNKBV5ER44S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VOXOZKX7WLXE7PKUNKBV5ER44S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VOXOZKX7WLXE7PKUNKBV5ER44S/action/storage_attestation","attest_author":"https://pith.science/pith/VOXOZKX7WLXE7PKUNKBV5ER44S/action/author_attestation","sign_citation":"https://pith.science/pith/VOXOZKX7WLXE7PKUNKBV5ER44S/action/citation_signature","submit_replication":"https://pith.science/pith/VOXOZKX7WLXE7PKUNKBV5ER44S/action/replication_record"}},"created_at":"2026-05-17T23:54:02.589749+00:00","updated_at":"2026-05-17T23:54:02.589749+00:00"}