{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:YSXLYRTVU7ACC3H577G2DUSZQK","short_pith_number":"pith:YSXLYRTV","canonical_record":{"source":{"id":"0807.4455","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-07-28T13:55:15Z","cross_cats_sorted":[],"title_canon_sha256":"189fb01c7314e10b77ccf555d4bc3126931f5635a764a22f5868fdeba9efd688","abstract_canon_sha256":"712af1c281a167457d075986683c7599203d09bab9a76e15931f95a72bf15017"},"schema_version":"1.0"},"canonical_sha256":"c4aebc4675a7c0216cfdffcda1d259829719bff2e50c0a567f3a6ff4ba04acfd","source":{"kind":"arxiv","id":"0807.4455","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0807.4455","created_at":"2026-05-18T03:35:54Z"},{"alias_kind":"arxiv_version","alias_value":"0807.4455v2","created_at":"2026-05-18T03:35:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.4455","created_at":"2026-05-18T03:35:54Z"},{"alias_kind":"pith_short_12","alias_value":"YSXLYRTVU7AC","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"YSXLYRTVU7ACC3H5","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"YSXLYRTV","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:YSXLYRTVU7ACC3H577G2DUSZQK","target":"record","payload":{"canonical_record":{"source":{"id":"0807.4455","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-07-28T13:55:15Z","cross_cats_sorted":[],"title_canon_sha256":"189fb01c7314e10b77ccf555d4bc3126931f5635a764a22f5868fdeba9efd688","abstract_canon_sha256":"712af1c281a167457d075986683c7599203d09bab9a76e15931f95a72bf15017"},"schema_version":"1.0"},"canonical_sha256":"c4aebc4675a7c0216cfdffcda1d259829719bff2e50c0a567f3a6ff4ba04acfd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:54.735411Z","signature_b64":"bE2nP+9Ut6TrvIwiAgK4dq1MiVUBF6FfI9FeGzeHGuTGW+TIOYSz6C1hVzTQsWf8T0jE36kq59XyRk7DqATVAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4aebc4675a7c0216cfdffcda1d259829719bff2e50c0a567f3a6ff4ba04acfd","last_reissued_at":"2026-05-18T03:35:54.734652Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:54.734652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0807.4455","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":"2026-05-18T03:35:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7+ZXzgiL3tcqfLsi/7Un8PfFZBfWZFVOZ5VfnOOSa3X+VCdXINhIaaGtRc+lWgxD9ZheTsxrCV6bt7uHn7gyAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T14:14:12.116634Z"},"content_sha256":"fc1ce84a4987c12495e6770cffdba37073290df3fba72731d397bda5dba804f0","schema_version":"1.0","event_id":"sha256:fc1ce84a4987c12495e6770cffdba37073290df3fba72731d397bda5dba804f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:YSXLYRTVU7ACC3H577G2DUSZQK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boundary regularity via Uhlenbeck-Rivi\\`ere decomposition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Armin Schikorra, Frank M\\\"uller","submitted_at":"2008-07-28T13:55:15Z","abstract_excerpt":"We prove that weak solutions of systems with skew-symmetric structure, which possess a continuous boundary trace, have to be continuous up to the boundary. This applies, e.g., to the H-surface system with bounded H and thus extends an earlier result by P. Strzelecki and proves the natural counterpart of a conjecture by E. Heinz. Methodically, we use estimates below natural exponents of integrability and a recent decomposition result by T.Rivi\\`ere."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.4455","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":"2026-05-18T03:35:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SC7oJ4FlAl5rb1FdunAS7lL6yl7B0UwbEjvJVcnTHhA6g38i8oQAPPnuLqg/8LnEy2tI9X3OMHbybCINjJiMAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T14:14:12.116987Z"},"content_sha256":"0a8c48dc6d9f45ae2dfe8e4b4d50e6587250d4a36cf4ad7deed8035187716935","schema_version":"1.0","event_id":"sha256:0a8c48dc6d9f45ae2dfe8e4b4d50e6587250d4a36cf4ad7deed8035187716935"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YSXLYRTVU7ACC3H577G2DUSZQK/bundle.json","state_url":"https://pith.science/pith/YSXLYRTVU7ACC3H577G2DUSZQK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YSXLYRTVU7ACC3H577G2DUSZQK/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":"2026-06-11T14:14:12Z","links":{"resolver":"https://pith.science/pith/YSXLYRTVU7ACC3H577G2DUSZQK","bundle":"https://pith.science/pith/YSXLYRTVU7ACC3H577G2DUSZQK/bundle.json","state":"https://pith.science/pith/YSXLYRTVU7ACC3H577G2DUSZQK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YSXLYRTVU7ACC3H577G2DUSZQK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:YSXLYRTVU7ACC3H577G2DUSZQK","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":"712af1c281a167457d075986683c7599203d09bab9a76e15931f95a72bf15017","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-07-28T13:55:15Z","title_canon_sha256":"189fb01c7314e10b77ccf555d4bc3126931f5635a764a22f5868fdeba9efd688"},"schema_version":"1.0","source":{"id":"0807.4455","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0807.4455","created_at":"2026-05-18T03:35:54Z"},{"alias_kind":"arxiv_version","alias_value":"0807.4455v2","created_at":"2026-05-18T03:35:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.4455","created_at":"2026-05-18T03:35:54Z"},{"alias_kind":"pith_short_12","alias_value":"YSXLYRTVU7AC","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"YSXLYRTVU7ACC3H5","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"YSXLYRTV","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:0a8c48dc6d9f45ae2dfe8e4b4d50e6587250d4a36cf4ad7deed8035187716935","target":"graph","created_at":"2026-05-18T03:35:54Z","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 that weak solutions of systems with skew-symmetric structure, which possess a continuous boundary trace, have to be continuous up to the boundary. This applies, e.g., to the H-surface system with bounded H and thus extends an earlier result by P. Strzelecki and proves the natural counterpart of a conjecture by E. Heinz. Methodically, we use estimates below natural exponents of integrability and a recent decomposition result by T.Rivi\\`ere.","authors_text":"Armin Schikorra, Frank M\\\"uller","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-07-28T13:55:15Z","title":"Boundary regularity via Uhlenbeck-Rivi\\`ere decomposition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.4455","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:fc1ce84a4987c12495e6770cffdba37073290df3fba72731d397bda5dba804f0","target":"record","created_at":"2026-05-18T03:35:54Z","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":"712af1c281a167457d075986683c7599203d09bab9a76e15931f95a72bf15017","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-07-28T13:55:15Z","title_canon_sha256":"189fb01c7314e10b77ccf555d4bc3126931f5635a764a22f5868fdeba9efd688"},"schema_version":"1.0","source":{"id":"0807.4455","kind":"arxiv","version":2}},"canonical_sha256":"c4aebc4675a7c0216cfdffcda1d259829719bff2e50c0a567f3a6ff4ba04acfd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4aebc4675a7c0216cfdffcda1d259829719bff2e50c0a567f3a6ff4ba04acfd","first_computed_at":"2026-05-18T03:35:54.734652Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:35:54.734652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bE2nP+9Ut6TrvIwiAgK4dq1MiVUBF6FfI9FeGzeHGuTGW+TIOYSz6C1hVzTQsWf8T0jE36kq59XyRk7DqATVAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:35:54.735411Z","signed_message":"canonical_sha256_bytes"},"source_id":"0807.4455","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc1ce84a4987c12495e6770cffdba37073290df3fba72731d397bda5dba804f0","sha256:0a8c48dc6d9f45ae2dfe8e4b4d50e6587250d4a36cf4ad7deed8035187716935"],"state_sha256":"06e45e24c128780db8883541ac14eaf42a0647e8e2caba206bc7467b63b19048"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"datAZZ3MW86Lj2u3Hptp1fFFsxhvqtuLKZaPK4eNmRTV5jjIfXsHCZwEDIehf52s51hemDwmhIaqi1PkKZBGCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T14:14:12.119033Z","bundle_sha256":"c316ea1e2f3ca83fe4f6d724e9eebcf08a7696f9a116fe8dd8a4c230787b43b4"}}