{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:5FYPHP36IUGN5IGH3MHDR6F3LK","short_pith_number":"pith:5FYPHP36","schema_version":"1.0","canonical_sha256":"e970f3bf7e450cdea0c7db0e38f8bb5a98f2278c6dc879454461012755e019b5","source":{"kind":"arxiv","id":"2201.03764","version":3},"attestation_state":"computed","paper":{"title":"Note on Green's functions of non-divergence elliptic operators with continuous coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hongjie Dong, Seick Kim, Sungjin Lee","submitted_at":"2022-01-11T03:46:04Z","abstract_excerpt":"We improve a result in Kim and Lee (Ann. Appl. Math. 37(2):111--130, 2021): showing that if the coefficients of an elliptic operator in non-divergence form are of Dini mean oscillation, then its Green's function has the same asymptotic behavior near the pole $x_0$ as that of the corresponding Green's function for the elliptic equation with constant coefficients frozen at $x_0$."},"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":"2201.03764","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-01-11T03:46:04Z","cross_cats_sorted":[],"title_canon_sha256":"01689745d098563ee4902e1e68a6c32992320d57e46cbaa386723a7dbb441765","abstract_canon_sha256":"fa9a650389e90737351e32204d0277f97088fdba3d9008bef87b1e9fdc979e3a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:48:01.780227Z","signature_b64":"oybiSl7iO/XremLZHyXanRMzJ5f+M+8v3xIR6m0ipgwIrlt8cOyq0vLz42Zc29jFGy4vztuNRLq7RCUhge5fBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e970f3bf7e450cdea0c7db0e38f8bb5a98f2278c6dc879454461012755e019b5","last_reissued_at":"2026-07-05T06:48:01.779720Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:48:01.779720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Note on Green's functions of non-divergence elliptic operators with continuous coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hongjie Dong, Seick Kim, Sungjin Lee","submitted_at":"2022-01-11T03:46:04Z","abstract_excerpt":"We improve a result in Kim and Lee (Ann. Appl. Math. 37(2):111--130, 2021): showing that if the coefficients of an elliptic operator in non-divergence form are of Dini mean oscillation, then its Green's function has the same asymptotic behavior near the pole $x_0$ as that of the corresponding Green's function for the elliptic equation with constant coefficients frozen at $x_0$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.03764","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2201.03764/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2201.03764","created_at":"2026-07-05T06:48:01.779769+00:00"},{"alias_kind":"arxiv_version","alias_value":"2201.03764v3","created_at":"2026-07-05T06:48:01.779769+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.03764","created_at":"2026-07-05T06:48:01.779769+00:00"},{"alias_kind":"pith_short_12","alias_value":"5FYPHP36IUGN","created_at":"2026-07-05T06:48:01.779769+00:00"},{"alias_kind":"pith_short_16","alias_value":"5FYPHP36IUGN5IGH","created_at":"2026-07-05T06:48:01.779769+00:00"},{"alias_kind":"pith_short_8","alias_value":"5FYPHP36","created_at":"2026-07-05T06:48:01.779769+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/5FYPHP36IUGN5IGH3MHDR6F3LK","json":"https://pith.science/pith/5FYPHP36IUGN5IGH3MHDR6F3LK.json","graph_json":"https://pith.science/api/pith-number/5FYPHP36IUGN5IGH3MHDR6F3LK/graph.json","events_json":"https://pith.science/api/pith-number/5FYPHP36IUGN5IGH3MHDR6F3LK/events.json","paper":"https://pith.science/paper/5FYPHP36"},"agent_actions":{"view_html":"https://pith.science/pith/5FYPHP36IUGN5IGH3MHDR6F3LK","download_json":"https://pith.science/pith/5FYPHP36IUGN5IGH3MHDR6F3LK.json","view_paper":"https://pith.science/paper/5FYPHP36","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2201.03764&json=true","fetch_graph":"https://pith.science/api/pith-number/5FYPHP36IUGN5IGH3MHDR6F3LK/graph.json","fetch_events":"https://pith.science/api/pith-number/5FYPHP36IUGN5IGH3MHDR6F3LK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5FYPHP36IUGN5IGH3MHDR6F3LK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5FYPHP36IUGN5IGH3MHDR6F3LK/action/storage_attestation","attest_author":"https://pith.science/pith/5FYPHP36IUGN5IGH3MHDR6F3LK/action/author_attestation","sign_citation":"https://pith.science/pith/5FYPHP36IUGN5IGH3MHDR6F3LK/action/citation_signature","submit_replication":"https://pith.science/pith/5FYPHP36IUGN5IGH3MHDR6F3LK/action/replication_record"}},"created_at":"2026-07-05T06:48:01.779769+00:00","updated_at":"2026-07-05T06:48:01.779769+00:00"}