{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:4PSSML6QMZIQ36X2JQDQH25BDB","short_pith_number":"pith:4PSSML6Q","schema_version":"1.0","canonical_sha256":"e3e5262fd066510dfafa4c0703eba11850cca502b37ba741dfc115c7d0861509","source":{"kind":"arxiv","id":"1011.6420","version":1},"attestation_state":"computed","paper":{"title":"Erratum: Degenerate diffusion with a drift potential: A viscosity solution approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Inwon C. Kim","submitted_at":"2010-11-29T23:52:56Z","abstract_excerpt":"The earlier paper [LK] (arXiv:0910.3432) contains a lower bound of the solution in terms of its $L^1$ norm, which is incorrect. In this note we explain the mistake and present a correction to it under the restriction that the permeability constant $m$ satisfies $1< m <2$. As a consequence, the quantitative estimates on the convergence rate (Main Theorem (c) and Theorem 3.6 in [LK] only hold for $1<m<2$. For $m\\geq 2$ a partial convergence rate is obtained."},"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":"1011.6420","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-11-29T23:52:56Z","cross_cats_sorted":[],"title_canon_sha256":"c7443af886aafbec248ea41fb78a6f827db570e78636eec71e2a4583539bed98","abstract_canon_sha256":"679acab61460114baa4201ef5e27d8dce965078c92879c3767da963dc8ca4ca1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:26.980054Z","signature_b64":"dQFvctEtVA9hmbs+YmEznogreI70UY4YiUgbILCBwcijbBHrvMIS0yz6RUFbvwYlcsEWqVCSn3VVanWvNWrwCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e3e5262fd066510dfafa4c0703eba11850cca502b37ba741dfc115c7d0861509","last_reissued_at":"2026-05-18T04:34:26.979535Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:26.979535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Erratum: Degenerate diffusion with a drift potential: A viscosity solution approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Inwon C. Kim","submitted_at":"2010-11-29T23:52:56Z","abstract_excerpt":"The earlier paper [LK] (arXiv:0910.3432) contains a lower bound of the solution in terms of its $L^1$ norm, which is incorrect. In this note we explain the mistake and present a correction to it under the restriction that the permeability constant $m$ satisfies $1< m <2$. As a consequence, the quantitative estimates on the convergence rate (Main Theorem (c) and Theorem 3.6 in [LK] only hold for $1<m<2$. For $m\\geq 2$ a partial convergence rate is obtained."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.6420","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":"1011.6420","created_at":"2026-05-18T04:34:26.979614+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.6420v1","created_at":"2026-05-18T04:34:26.979614+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.6420","created_at":"2026-05-18T04:34:26.979614+00:00"},{"alias_kind":"pith_short_12","alias_value":"4PSSML6QMZIQ","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"4PSSML6QMZIQ36X2","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"4PSSML6Q","created_at":"2026-05-18T12:26:04.259169+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/4PSSML6QMZIQ36X2JQDQH25BDB","json":"https://pith.science/pith/4PSSML6QMZIQ36X2JQDQH25BDB.json","graph_json":"https://pith.science/api/pith-number/4PSSML6QMZIQ36X2JQDQH25BDB/graph.json","events_json":"https://pith.science/api/pith-number/4PSSML6QMZIQ36X2JQDQH25BDB/events.json","paper":"https://pith.science/paper/4PSSML6Q"},"agent_actions":{"view_html":"https://pith.science/pith/4PSSML6QMZIQ36X2JQDQH25BDB","download_json":"https://pith.science/pith/4PSSML6QMZIQ36X2JQDQH25BDB.json","view_paper":"https://pith.science/paper/4PSSML6Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.6420&json=true","fetch_graph":"https://pith.science/api/pith-number/4PSSML6QMZIQ36X2JQDQH25BDB/graph.json","fetch_events":"https://pith.science/api/pith-number/4PSSML6QMZIQ36X2JQDQH25BDB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4PSSML6QMZIQ36X2JQDQH25BDB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4PSSML6QMZIQ36X2JQDQH25BDB/action/storage_attestation","attest_author":"https://pith.science/pith/4PSSML6QMZIQ36X2JQDQH25BDB/action/author_attestation","sign_citation":"https://pith.science/pith/4PSSML6QMZIQ36X2JQDQH25BDB/action/citation_signature","submit_replication":"https://pith.science/pith/4PSSML6QMZIQ36X2JQDQH25BDB/action/replication_record"}},"created_at":"2026-05-18T04:34:26.979614+00:00","updated_at":"2026-05-18T04:34:26.979614+00:00"}