{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:JE36DDPO3MSBXRLS3YEXI4NK22","short_pith_number":"pith:JE36DDPO","schema_version":"1.0","canonical_sha256":"4937e18deedb241bc572de097471aad68092aed1a8a5348f4c71084e66333311","source":{"kind":"arxiv","id":"1606.02563","version":1},"attestation_state":"computed","paper":{"title":"A Remark on the Kelvin Transform for a Quasilinear Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Peter Lindqvist","submitted_at":"2016-06-08T14:09:37Z","abstract_excerpt":"The p-harmonic functions are preserved under reflections in spheres only if the exponent p > 1 is equal to the dimension of the underlying Euclidean space. In the linear case p = 2 the Kelvin transform corrects this lack of invariance. We shall show that the Kelvin transform has no reasonable counterpart for general values of the exponent p."},"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":"1606.02563","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-06-08T14:09:37Z","cross_cats_sorted":[],"title_canon_sha256":"4976dc1bfb0bce4055c9e57d569c37a92f44b8d542764f08dc02213d656b520d","abstract_canon_sha256":"813da631a7054fbd89bd0a988556b9825fb53d3e5c92be1e570a8faa0d340044"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:41.063313Z","signature_b64":"W4++a/DS5dfbjivU1YIkf6dyZkVPea1w0ds0pE5aJuyuWQfc2SX26ZiLez3bswpLPXb2A0xkoFsumKsMtmO9Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4937e18deedb241bc572de097471aad68092aed1a8a5348f4c71084e66333311","last_reissued_at":"2026-05-18T01:12:41.062971Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:41.062971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Remark on the Kelvin Transform for a Quasilinear Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Peter Lindqvist","submitted_at":"2016-06-08T14:09:37Z","abstract_excerpt":"The p-harmonic functions are preserved under reflections in spheres only if the exponent p > 1 is equal to the dimension of the underlying Euclidean space. In the linear case p = 2 the Kelvin transform corrects this lack of invariance. We shall show that the Kelvin transform has no reasonable counterpart for general values of the exponent p."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.02563","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":"1606.02563","created_at":"2026-05-18T01:12:41.063028+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.02563v1","created_at":"2026-05-18T01:12:41.063028+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.02563","created_at":"2026-05-18T01:12:41.063028+00:00"},{"alias_kind":"pith_short_12","alias_value":"JE36DDPO3MSB","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_16","alias_value":"JE36DDPO3MSBXRLS","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_8","alias_value":"JE36DDPO","created_at":"2026-05-18T12:30:25.849896+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/JE36DDPO3MSBXRLS3YEXI4NK22","json":"https://pith.science/pith/JE36DDPO3MSBXRLS3YEXI4NK22.json","graph_json":"https://pith.science/api/pith-number/JE36DDPO3MSBXRLS3YEXI4NK22/graph.json","events_json":"https://pith.science/api/pith-number/JE36DDPO3MSBXRLS3YEXI4NK22/events.json","paper":"https://pith.science/paper/JE36DDPO"},"agent_actions":{"view_html":"https://pith.science/pith/JE36DDPO3MSBXRLS3YEXI4NK22","download_json":"https://pith.science/pith/JE36DDPO3MSBXRLS3YEXI4NK22.json","view_paper":"https://pith.science/paper/JE36DDPO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.02563&json=true","fetch_graph":"https://pith.science/api/pith-number/JE36DDPO3MSBXRLS3YEXI4NK22/graph.json","fetch_events":"https://pith.science/api/pith-number/JE36DDPO3MSBXRLS3YEXI4NK22/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JE36DDPO3MSBXRLS3YEXI4NK22/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JE36DDPO3MSBXRLS3YEXI4NK22/action/storage_attestation","attest_author":"https://pith.science/pith/JE36DDPO3MSBXRLS3YEXI4NK22/action/author_attestation","sign_citation":"https://pith.science/pith/JE36DDPO3MSBXRLS3YEXI4NK22/action/citation_signature","submit_replication":"https://pith.science/pith/JE36DDPO3MSBXRLS3YEXI4NK22/action/replication_record"}},"created_at":"2026-05-18T01:12:41.063028+00:00","updated_at":"2026-05-18T01:12:41.063028+00:00"}