{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:R2JIT4Y3ZBX3ZT4NGEPM46ITOB","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":"fd8acd18dc1534b584eacc1f36f7579fab7357a848e7f1f31e0113bb667d3b09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-08-05T22:59:20Z","title_canon_sha256":"92c0bc72fc0c83b64c903b309318a5f1d3b452ef4149c3d869ce16607fdb5a87"},"schema_version":"1.0","source":{"id":"1408.1138","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.1138","created_at":"2026-05-18T02:45:48Z"},{"alias_kind":"arxiv_version","alias_value":"1408.1138v1","created_at":"2026-05-18T02:45:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1138","created_at":"2026-05-18T02:45:48Z"},{"alias_kind":"pith_short_12","alias_value":"R2JIT4Y3ZBX3","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"R2JIT4Y3ZBX3ZT4N","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"R2JIT4Y3","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:9453b11719607020eb3756e42061b8fd1c953ea3a3f0df63a78dcc5324464120","target":"graph","created_at":"2026-05-18T02:45:48Z","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 estimates in H\\\"{o}lder spaces for some Cauchy-type integral operators representing holomorphic functions in Cartesian and symmetric products of planar domains. As a consequence, we obtain information on the boundary regularity in H\\\"{o}lder spaces of proper holomorphic maps between symmetric products of planar domains.","authors_text":"David Gunderman, Debraj Chakrabarti, Ellen Lehet, Evan Castle","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-08-05T22:59:20Z","title":"H\\\"{o}lder estimates for Cauchy-Type Integrals and proper holomorphic mappings of symmetric products"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1138","kind":"arxiv","version":1},"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":"sha256:458fc24632822a4d587cf113b7de675b16f4321ff4c80662afa42cf63087b4d4","target":"record","created_at":"2026-05-18T02:45:48Z","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":"fd8acd18dc1534b584eacc1f36f7579fab7357a848e7f1f31e0113bb667d3b09","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-08-05T22:59:20Z","title_canon_sha256":"92c0bc72fc0c83b64c903b309318a5f1d3b452ef4149c3d869ce16607fdb5a87"},"schema_version":"1.0","source":{"id":"1408.1138","kind":"arxiv","version":1}},"canonical_sha256":"8e9289f31bc86fbccf8d311ece79137060e1437c38bba036aa7d2cf9d479a430","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e9289f31bc86fbccf8d311ece79137060e1437c38bba036aa7d2cf9d479a430","first_computed_at":"2026-05-18T02:45:48.141439Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:48.141439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jbJWVASUFRCkcmiV3QXYBVdDO8pjqrwdFhbyx4c5TSGv4E6zcxwqnZIbQx4rn3zELuIotWDL+xj0Pyfe7WI9Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:48.141960Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.1138","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:458fc24632822a4d587cf113b7de675b16f4321ff4c80662afa42cf63087b4d4","sha256:9453b11719607020eb3756e42061b8fd1c953ea3a3f0df63a78dcc5324464120"],"state_sha256":"7f3c0cf57f1c44b223c89c649dcd2a282ff1e6d2c4591b579ad4ba1af1e6775a"}