{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:QB7H2LAQLZ7BS5HGTCV65PVQZR","short_pith_number":"pith:QB7H2LAQ","schema_version":"1.0","canonical_sha256":"807e7d2c105e7e1974e698abeebeb0cc5f4ffd7959f4dce4be9a7b4bbdbae75d","source":{"kind":"arxiv","id":"1112.0476","version":1},"attestation_state":"computed","paper":{"title":"On Neumann Type Problems for nonlocal Equations set in a half Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Christine Georgelin (LMPT, Emmanuel Chasseigne (LMPT, Espen Jakobsen, FRDP), Guy Barles (LMPT","submitted_at":"2011-12-02T14:59:06Z","abstract_excerpt":"We study Neumann type boundary value problems for nonlocal equations related to L\\'evy processes. Since these equations are nonlocal, Neumann type problems can be obtained in many ways, depending on the kind of reflection we impose on the outside jumps. To focus on the new phenomenas and ideas, we consider different models of reflection and rather general non-symmetric L\\'evy measures, but only simple linear equations in half-space domains. We derive the Neumann/reflection problems through a truncation procedure on the L\\'evy measure, and then we develop a viscosity solution theory which inclu"},"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":"1112.0476","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-12-02T14:59:06Z","cross_cats_sorted":[],"title_canon_sha256":"0555fab3b6374c23e087d4ec6cf42df83bfd10cf168c55dadb7ff6bd62405fd3","abstract_canon_sha256":"ce5bf25fad60fad274b38283d757219df19b1995f213e62448f382af785b1ce6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:07:07.133534Z","signature_b64":"P4MgSflvh9fmfq3DSljBGDrQqXBv8S2xSZUBA8+Ogf8Jiqo/diO8bQu1jJakKYg1q72QR5UpMebb+Ih32y6tAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"807e7d2c105e7e1974e698abeebeb0cc5f4ffd7959f4dce4be9a7b4bbdbae75d","last_reissued_at":"2026-05-18T04:07:07.132962Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:07:07.132962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Neumann Type Problems for nonlocal Equations set in a half Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Christine Georgelin (LMPT, Emmanuel Chasseigne (LMPT, Espen Jakobsen, FRDP), Guy Barles (LMPT","submitted_at":"2011-12-02T14:59:06Z","abstract_excerpt":"We study Neumann type boundary value problems for nonlocal equations related to L\\'evy processes. Since these equations are nonlocal, Neumann type problems can be obtained in many ways, depending on the kind of reflection we impose on the outside jumps. To focus on the new phenomenas and ideas, we consider different models of reflection and rather general non-symmetric L\\'evy measures, but only simple linear equations in half-space domains. We derive the Neumann/reflection problems through a truncation procedure on the L\\'evy measure, and then we develop a viscosity solution theory which inclu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.0476","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":"1112.0476","created_at":"2026-05-18T04:07:07.133053+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.0476v1","created_at":"2026-05-18T04:07:07.133053+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.0476","created_at":"2026-05-18T04:07:07.133053+00:00"},{"alias_kind":"pith_short_12","alias_value":"QB7H2LAQLZ7B","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_16","alias_value":"QB7H2LAQLZ7BS5HG","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_8","alias_value":"QB7H2LAQ","created_at":"2026-05-18T12:26:39.201973+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/QB7H2LAQLZ7BS5HGTCV65PVQZR","json":"https://pith.science/pith/QB7H2LAQLZ7BS5HGTCV65PVQZR.json","graph_json":"https://pith.science/api/pith-number/QB7H2LAQLZ7BS5HGTCV65PVQZR/graph.json","events_json":"https://pith.science/api/pith-number/QB7H2LAQLZ7BS5HGTCV65PVQZR/events.json","paper":"https://pith.science/paper/QB7H2LAQ"},"agent_actions":{"view_html":"https://pith.science/pith/QB7H2LAQLZ7BS5HGTCV65PVQZR","download_json":"https://pith.science/pith/QB7H2LAQLZ7BS5HGTCV65PVQZR.json","view_paper":"https://pith.science/paper/QB7H2LAQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.0476&json=true","fetch_graph":"https://pith.science/api/pith-number/QB7H2LAQLZ7BS5HGTCV65PVQZR/graph.json","fetch_events":"https://pith.science/api/pith-number/QB7H2LAQLZ7BS5HGTCV65PVQZR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QB7H2LAQLZ7BS5HGTCV65PVQZR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QB7H2LAQLZ7BS5HGTCV65PVQZR/action/storage_attestation","attest_author":"https://pith.science/pith/QB7H2LAQLZ7BS5HGTCV65PVQZR/action/author_attestation","sign_citation":"https://pith.science/pith/QB7H2LAQLZ7BS5HGTCV65PVQZR/action/citation_signature","submit_replication":"https://pith.science/pith/QB7H2LAQLZ7BS5HGTCV65PVQZR/action/replication_record"}},"created_at":"2026-05-18T04:07:07.133053+00:00","updated_at":"2026-05-18T04:07:07.133053+00:00"}