{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:LTLOZPRX6OAYJ7RK6OTEB3SFGE","short_pith_number":"pith:LTLOZPRX","schema_version":"1.0","canonical_sha256":"5cd6ecbe37f38184fe2af3a640ee45312bdbe9742258f90cd82e0632612fcace","source":{"kind":"arxiv","id":"1104.4107","version":2},"attestation_state":"computed","paper":{"title":"Reinforcement-Driven Spread of Innovations and Fads","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"D. Volovik, P. L. Krapivsky, S. Redner","submitted_at":"2011-04-20T19:48:50Z","abstract_excerpt":"We propose kinetic models for the spread of permanent innovations and transient fads by the mechanism of social reinforcement. Each individual can be in one of M+1 states of awareness 0,1,2,...,M, with state M corresponding to adopting an innovation. An individual with awareness k<M increases to k+1 by interacting with an adopter. Starting with a single adopter, the time for an initially unaware population of size N to adopt a permanent innovation grows as ln(N) for M=1, and as N^{1-1/M} for M>1. The fraction of the population that remains clueless about a transient fad after it has come and g"},"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":"1104.4107","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-04-20T19:48:50Z","cross_cats_sorted":["cond-mat.stat-mech","cs.SI"],"title_canon_sha256":"43e687750f55ef85bcdf96ceb5e356ad2bd2e5b4dfe143e17188c78e860f22ba","abstract_canon_sha256":"bb9be865dd65a8c7078919c6f795d3768a6d4bba80aee45dbc4227c710cf0653"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:22:01.741214Z","signature_b64":"a8NjsJ2RMriun1H+Bol4nogZ2UulPI4Pag9Y0WClo/1qFv6Fvml2VGR8wsnocobeBREJlnkTNggn7ClNzaQlCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5cd6ecbe37f38184fe2af3a640ee45312bdbe9742258f90cd82e0632612fcace","last_reissued_at":"2026-05-18T02:22:01.740604Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:22:01.740604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Reinforcement-Driven Spread of Innovations and Fads","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"D. Volovik, P. L. Krapivsky, S. Redner","submitted_at":"2011-04-20T19:48:50Z","abstract_excerpt":"We propose kinetic models for the spread of permanent innovations and transient fads by the mechanism of social reinforcement. Each individual can be in one of M+1 states of awareness 0,1,2,...,M, with state M corresponding to adopting an innovation. An individual with awareness k<M increases to k+1 by interacting with an adopter. Starting with a single adopter, the time for an initially unaware population of size N to adopt a permanent innovation grows as ln(N) for M=1, and as N^{1-1/M} for M>1. The fraction of the population that remains clueless about a transient fad after it has come and g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4107","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":"1104.4107","created_at":"2026-05-18T02:22:01.740728+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.4107v2","created_at":"2026-05-18T02:22:01.740728+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4107","created_at":"2026-05-18T02:22:01.740728+00:00"},{"alias_kind":"pith_short_12","alias_value":"LTLOZPRX6OAY","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"LTLOZPRX6OAYJ7RK","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"LTLOZPRX","created_at":"2026-05-18T12:26:34.985390+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/LTLOZPRX6OAYJ7RK6OTEB3SFGE","json":"https://pith.science/pith/LTLOZPRX6OAYJ7RK6OTEB3SFGE.json","graph_json":"https://pith.science/api/pith-number/LTLOZPRX6OAYJ7RK6OTEB3SFGE/graph.json","events_json":"https://pith.science/api/pith-number/LTLOZPRX6OAYJ7RK6OTEB3SFGE/events.json","paper":"https://pith.science/paper/LTLOZPRX"},"agent_actions":{"view_html":"https://pith.science/pith/LTLOZPRX6OAYJ7RK6OTEB3SFGE","download_json":"https://pith.science/pith/LTLOZPRX6OAYJ7RK6OTEB3SFGE.json","view_paper":"https://pith.science/paper/LTLOZPRX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.4107&json=true","fetch_graph":"https://pith.science/api/pith-number/LTLOZPRX6OAYJ7RK6OTEB3SFGE/graph.json","fetch_events":"https://pith.science/api/pith-number/LTLOZPRX6OAYJ7RK6OTEB3SFGE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LTLOZPRX6OAYJ7RK6OTEB3SFGE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LTLOZPRX6OAYJ7RK6OTEB3SFGE/action/storage_attestation","attest_author":"https://pith.science/pith/LTLOZPRX6OAYJ7RK6OTEB3SFGE/action/author_attestation","sign_citation":"https://pith.science/pith/LTLOZPRX6OAYJ7RK6OTEB3SFGE/action/citation_signature","submit_replication":"https://pith.science/pith/LTLOZPRX6OAYJ7RK6OTEB3SFGE/action/replication_record"}},"created_at":"2026-05-18T02:22:01.740728+00:00","updated_at":"2026-05-18T02:22:01.740728+00:00"}