{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:ABXCV4HDTUEBURGM3VAEJLUV7B","short_pith_number":"pith:ABXCV4HD","canonical_record":{"source":{"id":"1109.3325","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-09-15T12:00:06Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"c76e21f0ff90e30db03fdae567caad0207367edeadaa9085375599b80e1fb84b","abstract_canon_sha256":"5335fd9d516e9ac33e92a062e90021e86846763ff557289d203a22a77be0a58c"},"schema_version":"1.0"},"canonical_sha256":"006e2af0e39d081a44ccdd4044ae95f8415163a9907a4a0337ee596a002faf04","source":{"kind":"arxiv","id":"1109.3325","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3325","created_at":"2026-05-18T04:12:54Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3325v2","created_at":"2026-05-18T04:12:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3325","created_at":"2026-05-18T04:12:54Z"},{"alias_kind":"pith_short_12","alias_value":"ABXCV4HDTUEB","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"ABXCV4HDTUEBURGM","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"ABXCV4HD","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:ABXCV4HDTUEBURGM3VAEJLUV7B","target":"record","payload":{"canonical_record":{"source":{"id":"1109.3325","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-09-15T12:00:06Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"c76e21f0ff90e30db03fdae567caad0207367edeadaa9085375599b80e1fb84b","abstract_canon_sha256":"5335fd9d516e9ac33e92a062e90021e86846763ff557289d203a22a77be0a58c"},"schema_version":"1.0"},"canonical_sha256":"006e2af0e39d081a44ccdd4044ae95f8415163a9907a4a0337ee596a002faf04","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:54.223507Z","signature_b64":"5oG+eWe/giNZZP2H343vgCznbIlK8VLOuXfwfeCQOC/bcbAeGDH0K9e1rLe/JY7KIS7Cfieafd+aCDB9I4xiAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"006e2af0e39d081a44ccdd4044ae95f8415163a9907a4a0337ee596a002faf04","last_reissued_at":"2026-05-18T04:12:54.222992Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:54.222992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.3325","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":"2026-05-18T04:12:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tVLbd2fRFQ74KDmZE6SYpksnj9BCGZLiLSXu4d3kKPCc2x6JO+HtBZs5l6sPmu0MPlnh9y8eDBGQX0eyn+JSBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:11:06.118562Z"},"content_sha256":"d50973bab0fabfe7048b32a16434f94b57e92e6f67d643fa050f3a6d07dd4c31","schema_version":"1.0","event_id":"sha256:d50973bab0fabfe7048b32a16434f94b57e92e6f67d643fa050f3a6d07dd4c31"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:ABXCV4HDTUEBURGM3VAEJLUV7B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On solvability of nonlinear partial differential systems of any order in the complex plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.CV","authors_text":"Yifei Pan","submitted_at":"2011-09-15T12:00:06Z","abstract_excerpt":"We prove a general existence theorem for nonlinear partial differential systems of any order in one complex variable. A special case of first order contains a well-known theorem of Nijenhuis and Woolf concerning local existence of J-holomorphic curves on almost complex manifolds. As an application to differential geometry, we prove that non constant harmonic map always exists locally from a Riemann surface to a Riemannian manifold with a prescribed tangent vector at a given point."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3325","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":"2026-05-18T04:12:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RvRUqnqIUHIAQ1nBk4keKNbVvkHuMDUxbBZeT4fp02eeRoEIoWZidRlfByeJXpquFNpuOyD3C6wVUgM17i4WBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:11:06.118910Z"},"content_sha256":"04407b076790112785b151449d9de80233805f0648186069f161caaac0e9fdae","schema_version":"1.0","event_id":"sha256:04407b076790112785b151449d9de80233805f0648186069f161caaac0e9fdae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ABXCV4HDTUEBURGM3VAEJLUV7B/bundle.json","state_url":"https://pith.science/pith/ABXCV4HDTUEBURGM3VAEJLUV7B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ABXCV4HDTUEBURGM3VAEJLUV7B/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":"2026-06-01T20:11:06Z","links":{"resolver":"https://pith.science/pith/ABXCV4HDTUEBURGM3VAEJLUV7B","bundle":"https://pith.science/pith/ABXCV4HDTUEBURGM3VAEJLUV7B/bundle.json","state":"https://pith.science/pith/ABXCV4HDTUEBURGM3VAEJLUV7B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ABXCV4HDTUEBURGM3VAEJLUV7B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ABXCV4HDTUEBURGM3VAEJLUV7B","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":"5335fd9d516e9ac33e92a062e90021e86846763ff557289d203a22a77be0a58c","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-09-15T12:00:06Z","title_canon_sha256":"c76e21f0ff90e30db03fdae567caad0207367edeadaa9085375599b80e1fb84b"},"schema_version":"1.0","source":{"id":"1109.3325","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3325","created_at":"2026-05-18T04:12:54Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3325v2","created_at":"2026-05-18T04:12:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3325","created_at":"2026-05-18T04:12:54Z"},{"alias_kind":"pith_short_12","alias_value":"ABXCV4HDTUEB","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"ABXCV4HDTUEBURGM","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"ABXCV4HD","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:04407b076790112785b151449d9de80233805f0648186069f161caaac0e9fdae","target":"graph","created_at":"2026-05-18T04:12:54Z","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 a general existence theorem for nonlinear partial differential systems of any order in one complex variable. A special case of first order contains a well-known theorem of Nijenhuis and Woolf concerning local existence of J-holomorphic curves on almost complex manifolds. As an application to differential geometry, we prove that non constant harmonic map always exists locally from a Riemann surface to a Riemannian manifold with a prescribed tangent vector at a given point.","authors_text":"Yifei Pan","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-09-15T12:00:06Z","title":"On solvability of nonlinear partial differential systems of any order in the complex plane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3325","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:d50973bab0fabfe7048b32a16434f94b57e92e6f67d643fa050f3a6d07dd4c31","target":"record","created_at":"2026-05-18T04:12:54Z","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":"5335fd9d516e9ac33e92a062e90021e86846763ff557289d203a22a77be0a58c","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-09-15T12:00:06Z","title_canon_sha256":"c76e21f0ff90e30db03fdae567caad0207367edeadaa9085375599b80e1fb84b"},"schema_version":"1.0","source":{"id":"1109.3325","kind":"arxiv","version":2}},"canonical_sha256":"006e2af0e39d081a44ccdd4044ae95f8415163a9907a4a0337ee596a002faf04","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"006e2af0e39d081a44ccdd4044ae95f8415163a9907a4a0337ee596a002faf04","first_computed_at":"2026-05-18T04:12:54.222992Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:54.222992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5oG+eWe/giNZZP2H343vgCznbIlK8VLOuXfwfeCQOC/bcbAeGDH0K9e1rLe/JY7KIS7Cfieafd+aCDB9I4xiAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:54.223507Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.3325","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d50973bab0fabfe7048b32a16434f94b57e92e6f67d643fa050f3a6d07dd4c31","sha256:04407b076790112785b151449d9de80233805f0648186069f161caaac0e9fdae"],"state_sha256":"c10f05878c47f241165b05f1f72b3f6c881647009078bfded14dd87b00b2bf12"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wH2uTi5yM71xy1/U87aqojQm8Nrx3LKfR1Uatx0zNuGsg6kCYrAv4FPzczOaAkHwzBGlE6/wutxV+MsS3EdiAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T20:11:06.120877Z","bundle_sha256":"f7efe2eb48542c4867e27a04e950d5e058e192858ef3e8e01c4561e4ac560d5e"}}