{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ZASRZGWM5IXURBE5567DMYDWUV","short_pith_number":"pith:ZASRZGWM","canonical_record":{"source":{"id":"1303.1854","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-07T23:43:00Z","cross_cats_sorted":[],"title_canon_sha256":"66683f5e61336f46ca3d09e83bdcbe62a94f99611bfe21ed80d4aa95ae3e2256","abstract_canon_sha256":"b67149f8c00f7d292a89ab683029a698a5de2e06ffcaa324d3e78ca56dbf6266"},"schema_version":"1.0"},"canonical_sha256":"c8251c9accea2f48849defbe366076a54f0c9febabf6ab43c47085ef0b74ac05","source":{"kind":"arxiv","id":"1303.1854","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1854","created_at":"2026-05-18T03:26:31Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1854v2","created_at":"2026-05-18T03:26:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1854","created_at":"2026-05-18T03:26:31Z"},{"alias_kind":"pith_short_12","alias_value":"ZASRZGWM5IXU","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZASRZGWM5IXURBE5","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZASRZGWM","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ZASRZGWM5IXURBE5567DMYDWUV","target":"record","payload":{"canonical_record":{"source":{"id":"1303.1854","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-07T23:43:00Z","cross_cats_sorted":[],"title_canon_sha256":"66683f5e61336f46ca3d09e83bdcbe62a94f99611bfe21ed80d4aa95ae3e2256","abstract_canon_sha256":"b67149f8c00f7d292a89ab683029a698a5de2e06ffcaa324d3e78ca56dbf6266"},"schema_version":"1.0"},"canonical_sha256":"c8251c9accea2f48849defbe366076a54f0c9febabf6ab43c47085ef0b74ac05","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:31.905934Z","signature_b64":"KHFotrbEfs78lzn4WnWDfDobOkAJoGhFQ9wvIaAjjNK3UIjwVAHNLnMfjbCBlM6G48Oz1/OlDlqC/+53SOZEBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c8251c9accea2f48849defbe366076a54f0c9febabf6ab43c47085ef0b74ac05","last_reissued_at":"2026-05-18T03:26:31.905228Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:31.905228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.1854","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:26:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FfeNPcuj9A3wmhZgsapVvrsDySZtYvc5t6kcSH29+0wTwz8NEPRICFx9/Xxs2yfWeoNlIot/fuwhrbv6AuGICA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T09:38:41.458355Z"},"content_sha256":"52e1c651702121d101afd30e016c024e1468b8ff486a6a21d268de2081c78913","schema_version":"1.0","event_id":"sha256:52e1c651702121d101afd30e016c024e1468b8ff486a6a21d268de2081c78913"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ZASRZGWM5IXURBE5567DMYDWUV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Homogenization of the Oscillating Dirichlet Boundary Condition in General Domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"William M. Feldman","submitted_at":"2013-03-07T23:43:00Z","abstract_excerpt":"We prove the homogenization of the Dirichlet problem for fully nonlinear elliptic operators with periodic oscillation in the operator and of the boundary condition for a general class of smooth bounded domains. This extends the previous results of Barles and Mironescu in half spaces. We show that homogenization holds despite a possible lack of continuity in the homogenized boundary data. The proof is based on a comparison principle with partial Dirichlet boundary data which is of independent interest."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1854","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:26:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"beguzJ4oDwSbK1h5gqGdxd1xSRh+9yjgDSn/29jAdeLA/zg63JvwYv7Gh5ayRlSdaR+u8/uEn4EQPayqkRA2DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T09:38:41.458695Z"},"content_sha256":"c50a2fc867f567984ffccf29d3e580741dfee6c4b037a96e5b362002023134bb","schema_version":"1.0","event_id":"sha256:c50a2fc867f567984ffccf29d3e580741dfee6c4b037a96e5b362002023134bb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZASRZGWM5IXURBE5567DMYDWUV/bundle.json","state_url":"https://pith.science/pith/ZASRZGWM5IXURBE5567DMYDWUV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZASRZGWM5IXURBE5567DMYDWUV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-28T09:38:41Z","links":{"resolver":"https://pith.science/pith/ZASRZGWM5IXURBE5567DMYDWUV","bundle":"https://pith.science/pith/ZASRZGWM5IXURBE5567DMYDWUV/bundle.json","state":"https://pith.science/pith/ZASRZGWM5IXURBE5567DMYDWUV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZASRZGWM5IXURBE5567DMYDWUV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZASRZGWM5IXURBE5567DMYDWUV","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b67149f8c00f7d292a89ab683029a698a5de2e06ffcaa324d3e78ca56dbf6266","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-07T23:43:00Z","title_canon_sha256":"66683f5e61336f46ca3d09e83bdcbe62a94f99611bfe21ed80d4aa95ae3e2256"},"schema_version":"1.0","source":{"id":"1303.1854","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1854","created_at":"2026-05-18T03:26:31Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1854v2","created_at":"2026-05-18T03:26:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1854","created_at":"2026-05-18T03:26:31Z"},{"alias_kind":"pith_short_12","alias_value":"ZASRZGWM5IXU","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZASRZGWM5IXURBE5","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZASRZGWM","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:c50a2fc867f567984ffccf29d3e580741dfee6c4b037a96e5b362002023134bb","target":"graph","created_at":"2026-05-18T03:26:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We prove the homogenization of the Dirichlet problem for fully nonlinear elliptic operators with periodic oscillation in the operator and of the boundary condition for a general class of smooth bounded domains. This extends the previous results of Barles and Mironescu in half spaces. We show that homogenization holds despite a possible lack of continuity in the homogenized boundary data. The proof is based on a comparison principle with partial Dirichlet boundary data which is of independent interest.","authors_text":"William M. Feldman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-07T23:43:00Z","title":"Homogenization of the Oscillating Dirichlet Boundary Condition in General Domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1854","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:52e1c651702121d101afd30e016c024e1468b8ff486a6a21d268de2081c78913","target":"record","created_at":"2026-05-18T03:26:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b67149f8c00f7d292a89ab683029a698a5de2e06ffcaa324d3e78ca56dbf6266","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-07T23:43:00Z","title_canon_sha256":"66683f5e61336f46ca3d09e83bdcbe62a94f99611bfe21ed80d4aa95ae3e2256"},"schema_version":"1.0","source":{"id":"1303.1854","kind":"arxiv","version":2}},"canonical_sha256":"c8251c9accea2f48849defbe366076a54f0c9febabf6ab43c47085ef0b74ac05","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c8251c9accea2f48849defbe366076a54f0c9febabf6ab43c47085ef0b74ac05","first_computed_at":"2026-05-18T03:26:31.905228Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:31.905228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KHFotrbEfs78lzn4WnWDfDobOkAJoGhFQ9wvIaAjjNK3UIjwVAHNLnMfjbCBlM6G48Oz1/OlDlqC/+53SOZEBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:31.905934Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.1854","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52e1c651702121d101afd30e016c024e1468b8ff486a6a21d268de2081c78913","sha256:c50a2fc867f567984ffccf29d3e580741dfee6c4b037a96e5b362002023134bb"],"state_sha256":"5d65d4af9b5e85707389630ff449e23107865cdce17a04f5389ac33fa242785a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LXgLHbOsau4rjsfNR5UWvHfBnqfdLt9T6iimedBEjZ4+xwdMFB/IYDZaAPzWGU6BhAgfRm/c2zXh8H3ikEueBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T09:38:41.460546Z","bundle_sha256":"773ef8bf52c70bab13c757078df1256e76d760a59ef3af87ebccd3bd1a9b0027"}}