{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ZA5VTMG75O6D7LG3RYO7FWYGQB","short_pith_number":"pith:ZA5VTMG7","canonical_record":{"source":{"id":"1710.01253","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-30T17:15:55Z","cross_cats_sorted":[],"title_canon_sha256":"ff5135e56d920a4c3e63b1ca5d8ea891289a9abe951309be487b439b5e48519a","abstract_canon_sha256":"acf3d41ea04e92a5ee334265471bbf0be1d6f8fe832bc18c00eda0c8c5784911"},"schema_version":"1.0"},"canonical_sha256":"c83b59b0dfebbc3facdb8e1df2db06806c0624302748c1d5937e129d86e36519","source":{"kind":"arxiv","id":"1710.01253","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.01253","created_at":"2026-05-17T23:54:16Z"},{"alias_kind":"arxiv_version","alias_value":"1710.01253v3","created_at":"2026-05-17T23:54:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01253","created_at":"2026-05-17T23:54:16Z"},{"alias_kind":"pith_short_12","alias_value":"ZA5VTMG75O6D","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZA5VTMG75O6D7LG3","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZA5VTMG7","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ZA5VTMG75O6D7LG3RYO7FWYGQB","target":"record","payload":{"canonical_record":{"source":{"id":"1710.01253","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-30T17:15:55Z","cross_cats_sorted":[],"title_canon_sha256":"ff5135e56d920a4c3e63b1ca5d8ea891289a9abe951309be487b439b5e48519a","abstract_canon_sha256":"acf3d41ea04e92a5ee334265471bbf0be1d6f8fe832bc18c00eda0c8c5784911"},"schema_version":"1.0"},"canonical_sha256":"c83b59b0dfebbc3facdb8e1df2db06806c0624302748c1d5937e129d86e36519","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:16.869248Z","signature_b64":"41ZDcO3XacueWA2GqHP4voAO9SzAJFghXZWX0ATxuUVB4acDWuIWJtuFlf+bFsog1YzttUAsqf0utgoiouKmAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c83b59b0dfebbc3facdb8e1df2db06806c0624302748c1d5937e129d86e36519","last_reissued_at":"2026-05-17T23:54:16.868725Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:16.868725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.01253","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:54:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0PEtoop3roCVAQ8lbd6ZAFxLU7IkxhkIb8qn8oryvVdUiexLnBdBY5jnFY5ATtP3To4IKgVytujEGjxELQGwDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:47:53.521117Z"},"content_sha256":"082737a2d9bbce9802f5c7a20e7afa1b5ce3c14352d9edb6526abd26a56a6cb3","schema_version":"1.0","event_id":"sha256:082737a2d9bbce9802f5c7a20e7afa1b5ce3c14352d9edb6526abd26a56a6cb3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ZA5VTMG75O6D7LG3RYO7FWYGQB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dini and Schauder estimates for nonlocal fully nonlinear parabolic equations with drifts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hongjie Dong, Hong Zhang, Tianling Jin","submitted_at":"2017-09-30T17:15:55Z","abstract_excerpt":"We obtain Dini and Schauder type estimates for concave fully nonlinear nonlocal parabolic equations of order $\\sigma\\in (0,2)$ with rough and non-symmetric kernels, and drift terms. We also study such linear equations with only measurable coefficients in the time variable, and obtain Dini type estimates in the spacial variable. This is a continuation of the work [10, 11] by the first and last authors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01253","kind":"arxiv","version":3},"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":"2026-05-17T23:54:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u/Rq6V3lMh6GhAPtzi62QPQ54Zd1cIbLHCI0Z4tc0lXhMqI2DEC010kVLhNu45QmM5YPRYJoCu4nchvhur24BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:47:53.521737Z"},"content_sha256":"c9a9a8456b5f8a3d38328cc965e3adcbd360f276a0712e3bf23200874b20634a","schema_version":"1.0","event_id":"sha256:c9a9a8456b5f8a3d38328cc965e3adcbd360f276a0712e3bf23200874b20634a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZA5VTMG75O6D7LG3RYO7FWYGQB/bundle.json","state_url":"https://pith.science/pith/ZA5VTMG75O6D7LG3RYO7FWYGQB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZA5VTMG75O6D7LG3RYO7FWYGQB/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":"2026-06-04T04:47:53Z","links":{"resolver":"https://pith.science/pith/ZA5VTMG75O6D7LG3RYO7FWYGQB","bundle":"https://pith.science/pith/ZA5VTMG75O6D7LG3RYO7FWYGQB/bundle.json","state":"https://pith.science/pith/ZA5VTMG75O6D7LG3RYO7FWYGQB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZA5VTMG75O6D7LG3RYO7FWYGQB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZA5VTMG75O6D7LG3RYO7FWYGQB","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":"acf3d41ea04e92a5ee334265471bbf0be1d6f8fe832bc18c00eda0c8c5784911","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-30T17:15:55Z","title_canon_sha256":"ff5135e56d920a4c3e63b1ca5d8ea891289a9abe951309be487b439b5e48519a"},"schema_version":"1.0","source":{"id":"1710.01253","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.01253","created_at":"2026-05-17T23:54:16Z"},{"alias_kind":"arxiv_version","alias_value":"1710.01253v3","created_at":"2026-05-17T23:54:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01253","created_at":"2026-05-17T23:54:16Z"},{"alias_kind":"pith_short_12","alias_value":"ZA5VTMG75O6D","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZA5VTMG75O6D7LG3","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZA5VTMG7","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:c9a9a8456b5f8a3d38328cc965e3adcbd360f276a0712e3bf23200874b20634a","target":"graph","created_at":"2026-05-17T23:54:16Z","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 obtain Dini and Schauder type estimates for concave fully nonlinear nonlocal parabolic equations of order $\\sigma\\in (0,2)$ with rough and non-symmetric kernels, and drift terms. We also study such linear equations with only measurable coefficients in the time variable, and obtain Dini type estimates in the spacial variable. This is a continuation of the work [10, 11] by the first and last authors.","authors_text":"Hongjie Dong, Hong Zhang, Tianling Jin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-30T17:15:55Z","title":"Dini and Schauder estimates for nonlocal fully nonlinear parabolic equations with drifts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01253","kind":"arxiv","version":3},"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":"sha256:082737a2d9bbce9802f5c7a20e7afa1b5ce3c14352d9edb6526abd26a56a6cb3","target":"record","created_at":"2026-05-17T23:54:16Z","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":"acf3d41ea04e92a5ee334265471bbf0be1d6f8fe832bc18c00eda0c8c5784911","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-30T17:15:55Z","title_canon_sha256":"ff5135e56d920a4c3e63b1ca5d8ea891289a9abe951309be487b439b5e48519a"},"schema_version":"1.0","source":{"id":"1710.01253","kind":"arxiv","version":3}},"canonical_sha256":"c83b59b0dfebbc3facdb8e1df2db06806c0624302748c1d5937e129d86e36519","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c83b59b0dfebbc3facdb8e1df2db06806c0624302748c1d5937e129d86e36519","first_computed_at":"2026-05-17T23:54:16.868725Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:16.868725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"41ZDcO3XacueWA2GqHP4voAO9SzAJFghXZWX0ATxuUVB4acDWuIWJtuFlf+bFsog1YzttUAsqf0utgoiouKmAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:16.869248Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.01253","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:082737a2d9bbce9802f5c7a20e7afa1b5ce3c14352d9edb6526abd26a56a6cb3","sha256:c9a9a8456b5f8a3d38328cc965e3adcbd360f276a0712e3bf23200874b20634a"],"state_sha256":"d945752e0b4039e90a3a429010c2a310f4eda146833b91a2873f39fed0c64536"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YgOan+KHqYhYkapMpXDqQ4vdgOVdRgh+hQXYi9rkQY/MdJPD9W600rAyIUIsjHVndSEBl/Nz48Np446l6dhRAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T04:47:53.524698Z","bundle_sha256":"49f032825307139bbc12d56d59a08a1fb9a534d5ef9135cd623b48959aaad08f"}}