{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:4M4L25KHO6XLX3AWBMZPIKHZO7","short_pith_number":"pith:4M4L25KH","schema_version":"1.0","canonical_sha256":"e338bd754777aebbec160b32f428f977db94e8cf4c7e04775a245ec2c5a05d3b","source":{"kind":"arxiv","id":"1905.12901","version":1},"attestation_state":"computed","paper":{"title":"Wright-Fisher-type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","physics.soc-ph"],"primary_cat":"math-ph","authors_text":"Ada Pulvirenti, Elide Terraneo, Giulia Furioli, Giuseppe Toscani","submitted_at":"2019-05-30T07:53:55Z","abstract_excerpt":"We study the rate of convergence to equilibrium of the solution of a Fokker--Planck type equation introduced by one of the authors in 2006 to describe opinion formation in a multi-agent system. The main feature of this Fokker--Planck equation is the presence of a variable diffusion coefficient and boundaries, which introduce new challenging mathematical problems in the study of its long-time behavior."},"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":"1905.12901","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-05-30T07:53:55Z","cross_cats_sorted":["math.MP","physics.soc-ph"],"title_canon_sha256":"9a9c51d992d15995847c45dc3ce4f121d953b8ddf9f5e355c4449341c76317f2","abstract_canon_sha256":"10652feffc684a2f338b10b0f73838b217dbc3c804da0019434f67b5ac5eee8d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:39.374587Z","signature_b64":"Xjgqyg8kyfyoae9ihRNCcnuZEdrGk+Uza31ju9551Q6clU5LGM3USxBxbuWV/hJXiYtd16qu12GkNLizAb7rCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e338bd754777aebbec160b32f428f977db94e8cf4c7e04775a245ec2c5a05d3b","last_reissued_at":"2026-05-17T23:44:39.374133Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:39.374133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Wright-Fisher-type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","physics.soc-ph"],"primary_cat":"math-ph","authors_text":"Ada Pulvirenti, Elide Terraneo, Giulia Furioli, Giuseppe Toscani","submitted_at":"2019-05-30T07:53:55Z","abstract_excerpt":"We study the rate of convergence to equilibrium of the solution of a Fokker--Planck type equation introduced by one of the authors in 2006 to describe opinion formation in a multi-agent system. The main feature of this Fokker--Planck equation is the presence of a variable diffusion coefficient and boundaries, which introduce new challenging mathematical problems in the study of its long-time behavior."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.12901","kind":"arxiv","version":1},"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":"1905.12901","created_at":"2026-05-17T23:44:39.374202+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.12901v1","created_at":"2026-05-17T23:44:39.374202+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.12901","created_at":"2026-05-17T23:44:39.374202+00:00"},{"alias_kind":"pith_short_12","alias_value":"4M4L25KHO6XL","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_16","alias_value":"4M4L25KHO6XLX3AW","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_8","alias_value":"4M4L25KH","created_at":"2026-05-18T12:33:10.108867+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/4M4L25KHO6XLX3AWBMZPIKHZO7","json":"https://pith.science/pith/4M4L25KHO6XLX3AWBMZPIKHZO7.json","graph_json":"https://pith.science/api/pith-number/4M4L25KHO6XLX3AWBMZPIKHZO7/graph.json","events_json":"https://pith.science/api/pith-number/4M4L25KHO6XLX3AWBMZPIKHZO7/events.json","paper":"https://pith.science/paper/4M4L25KH"},"agent_actions":{"view_html":"https://pith.science/pith/4M4L25KHO6XLX3AWBMZPIKHZO7","download_json":"https://pith.science/pith/4M4L25KHO6XLX3AWBMZPIKHZO7.json","view_paper":"https://pith.science/paper/4M4L25KH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.12901&json=true","fetch_graph":"https://pith.science/api/pith-number/4M4L25KHO6XLX3AWBMZPIKHZO7/graph.json","fetch_events":"https://pith.science/api/pith-number/4M4L25KHO6XLX3AWBMZPIKHZO7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4M4L25KHO6XLX3AWBMZPIKHZO7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4M4L25KHO6XLX3AWBMZPIKHZO7/action/storage_attestation","attest_author":"https://pith.science/pith/4M4L25KHO6XLX3AWBMZPIKHZO7/action/author_attestation","sign_citation":"https://pith.science/pith/4M4L25KHO6XLX3AWBMZPIKHZO7/action/citation_signature","submit_replication":"https://pith.science/pith/4M4L25KHO6XLX3AWBMZPIKHZO7/action/replication_record"}},"created_at":"2026-05-17T23:44:39.374202+00:00","updated_at":"2026-05-17T23:44:39.374202+00:00"}