{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:STC357PMQ3OCWOWJKNOFVOF2QD","short_pith_number":"pith:STC357PM","schema_version":"1.0","canonical_sha256":"94c5befdec86dc2b3ac9535c5ab8ba80e9713288dd3cb20e8bf3c4ee929931e6","source":{"kind":"arxiv","id":"1411.2567","version":1},"attestation_state":"computed","paper":{"title":"Lecture notes on Viscosity Solutions for fully nonlinear 2nd order PDE and applications to Calculus of Variations in $L^\\infty$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Nikos Katzourakis","submitted_at":"2014-11-10T20:13:44Z","abstract_excerpt":"The purpose of these expository notes is to give a quick and elementary, yet rigorous, presentation of the rudiments of the theory of Viscosity Solutions for fully nonlinear 2nd order PDE, with applications to Calculus of Variations in the space $L^\\infty$."},"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":"1411.2567","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-10T20:13:44Z","cross_cats_sorted":[],"title_canon_sha256":"9ef98152047ca26d9e92d2a23d4c2bdf92f8cf784ce8f117aa84c96fe19011d5","abstract_canon_sha256":"461f7233d8e2603e462541201ed36c66a27dbbcb2253e0a732de40ecf97196e2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:01.143620Z","signature_b64":"qJA16YX1MHfCVFx2E1AUlSZKGfJtD6JM0rk85gL2yTpr7r45MNa1DAya9cQfOd2j+gRinsLqc81MmN9Zbnt1Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94c5befdec86dc2b3ac9535c5ab8ba80e9713288dd3cb20e8bf3c4ee929931e6","last_reissued_at":"2026-05-18T02:38:01.143112Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:01.143112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lecture notes on Viscosity Solutions for fully nonlinear 2nd order PDE and applications to Calculus of Variations in $L^\\infty$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Nikos Katzourakis","submitted_at":"2014-11-10T20:13:44Z","abstract_excerpt":"The purpose of these expository notes is to give a quick and elementary, yet rigorous, presentation of the rudiments of the theory of Viscosity Solutions for fully nonlinear 2nd order PDE, with applications to Calculus of Variations in the space $L^\\infty$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2567","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":"1411.2567","created_at":"2026-05-18T02:38:01.143175+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.2567v1","created_at":"2026-05-18T02:38:01.143175+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2567","created_at":"2026-05-18T02:38:01.143175+00:00"},{"alias_kind":"pith_short_12","alias_value":"STC357PMQ3OC","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"STC357PMQ3OCWOWJ","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"STC357PM","created_at":"2026-05-18T12:28:49.207871+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/STC357PMQ3OCWOWJKNOFVOF2QD","json":"https://pith.science/pith/STC357PMQ3OCWOWJKNOFVOF2QD.json","graph_json":"https://pith.science/api/pith-number/STC357PMQ3OCWOWJKNOFVOF2QD/graph.json","events_json":"https://pith.science/api/pith-number/STC357PMQ3OCWOWJKNOFVOF2QD/events.json","paper":"https://pith.science/paper/STC357PM"},"agent_actions":{"view_html":"https://pith.science/pith/STC357PMQ3OCWOWJKNOFVOF2QD","download_json":"https://pith.science/pith/STC357PMQ3OCWOWJKNOFVOF2QD.json","view_paper":"https://pith.science/paper/STC357PM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.2567&json=true","fetch_graph":"https://pith.science/api/pith-number/STC357PMQ3OCWOWJKNOFVOF2QD/graph.json","fetch_events":"https://pith.science/api/pith-number/STC357PMQ3OCWOWJKNOFVOF2QD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/STC357PMQ3OCWOWJKNOFVOF2QD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/STC357PMQ3OCWOWJKNOFVOF2QD/action/storage_attestation","attest_author":"https://pith.science/pith/STC357PMQ3OCWOWJKNOFVOF2QD/action/author_attestation","sign_citation":"https://pith.science/pith/STC357PMQ3OCWOWJKNOFVOF2QD/action/citation_signature","submit_replication":"https://pith.science/pith/STC357PMQ3OCWOWJKNOFVOF2QD/action/replication_record"}},"created_at":"2026-05-18T02:38:01.143175+00:00","updated_at":"2026-05-18T02:38:01.143175+00:00"}