{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:G3TOHZNZKQ766BQUAOGYW6B3UW","short_pith_number":"pith:G3TOHZNZ","schema_version":"1.0","canonical_sha256":"36e6e3e5b9543fef0614038d8b783ba59fc326a395399f2fd2ac1e17106be8cb","source":{"kind":"arxiv","id":"1302.1849","version":2},"attestation_state":"computed","paper":{"title":"A classical Perron method for existence of smooth solutions to boundary value and obstacle problems for degenerate-elliptic operators via holomorphic maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.PR"],"primary_cat":"math.AP","authors_text":"Paul M. N. Feehan","submitted_at":"2013-02-07T20:17:26Z","abstract_excerpt":"We prove existence of solutions to boundary value problems and obstacle problems for degenerate-elliptic, linear, second-order partial differential operators with partial Dirichlet boundary conditions using a new version of the Perron method. The elliptic operators considered have a degeneracy along a portion of the domain boundary which is similar to the degeneracy of a model linear operator identified by Daskalopoulos and Hamilton (1998) in their study of the porous medium equation or the degeneracy of the Heston operator (1993) in mathematical finance. Existence of a solution to the Dirichl"},"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":"1302.1849","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-02-07T20:17:26Z","cross_cats_sorted":["math.DG","math.PR"],"title_canon_sha256":"e37a8d3732a626ade8ddd20c01882a628fe05ec435286f7f4b6106d8ba031f62","abstract_canon_sha256":"582b976a7479db347f8d270f73375400d50a0ad6d698d518947d64bbf218b3ec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:42.559677Z","signature_b64":"LbFiUOskr91wsOE2drhXky0O3Ok03yzK5IUd5/klt8G2mXxqyKMxODpGig3pv6hTJCwprUs+qYBEK6uIwZuPBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36e6e3e5b9543fef0614038d8b783ba59fc326a395399f2fd2ac1e17106be8cb","last_reissued_at":"2026-05-18T03:27:42.559112Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:42.559112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A classical Perron method for existence of smooth solutions to boundary value and obstacle problems for degenerate-elliptic operators via holomorphic maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.PR"],"primary_cat":"math.AP","authors_text":"Paul M. N. Feehan","submitted_at":"2013-02-07T20:17:26Z","abstract_excerpt":"We prove existence of solutions to boundary value problems and obstacle problems for degenerate-elliptic, linear, second-order partial differential operators with partial Dirichlet boundary conditions using a new version of the Perron method. The elliptic operators considered have a degeneracy along a portion of the domain boundary which is similar to the degeneracy of a model linear operator identified by Daskalopoulos and Hamilton (1998) in their study of the porous medium equation or the degeneracy of the Heston operator (1993) in mathematical finance. Existence of a solution to the Dirichl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.1849","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":"1302.1849","created_at":"2026-05-18T03:27:42.559213+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.1849v2","created_at":"2026-05-18T03:27:42.559213+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.1849","created_at":"2026-05-18T03:27:42.559213+00:00"},{"alias_kind":"pith_short_12","alias_value":"G3TOHZNZKQ76","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"G3TOHZNZKQ766BQU","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"G3TOHZNZ","created_at":"2026-05-18T12:27:45.050594+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/G3TOHZNZKQ766BQUAOGYW6B3UW","json":"https://pith.science/pith/G3TOHZNZKQ766BQUAOGYW6B3UW.json","graph_json":"https://pith.science/api/pith-number/G3TOHZNZKQ766BQUAOGYW6B3UW/graph.json","events_json":"https://pith.science/api/pith-number/G3TOHZNZKQ766BQUAOGYW6B3UW/events.json","paper":"https://pith.science/paper/G3TOHZNZ"},"agent_actions":{"view_html":"https://pith.science/pith/G3TOHZNZKQ766BQUAOGYW6B3UW","download_json":"https://pith.science/pith/G3TOHZNZKQ766BQUAOGYW6B3UW.json","view_paper":"https://pith.science/paper/G3TOHZNZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.1849&json=true","fetch_graph":"https://pith.science/api/pith-number/G3TOHZNZKQ766BQUAOGYW6B3UW/graph.json","fetch_events":"https://pith.science/api/pith-number/G3TOHZNZKQ766BQUAOGYW6B3UW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G3TOHZNZKQ766BQUAOGYW6B3UW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G3TOHZNZKQ766BQUAOGYW6B3UW/action/storage_attestation","attest_author":"https://pith.science/pith/G3TOHZNZKQ766BQUAOGYW6B3UW/action/author_attestation","sign_citation":"https://pith.science/pith/G3TOHZNZKQ766BQUAOGYW6B3UW/action/citation_signature","submit_replication":"https://pith.science/pith/G3TOHZNZKQ766BQUAOGYW6B3UW/action/replication_record"}},"created_at":"2026-05-18T03:27:42.559213+00:00","updated_at":"2026-05-18T03:27:42.559213+00:00"}