{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:REOPYDFE7UJ2IMUDKU5ASTECU4","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":"044a12ec3a903d74bd8c7b315b59bd86f9d5e753ebf93ccb8b503b67438780c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-08-04T12:33:28Z","title_canon_sha256":"be1d4cd8125166cd8896c70f4f4ca3f9724c87d3d6b655c2f6171c06c1b6c2fd"},"schema_version":"1.0","source":{"id":"1508.00753","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.00753","created_at":"2026-05-18T01:35:21Z"},{"alias_kind":"arxiv_version","alias_value":"1508.00753v2","created_at":"2026-05-18T01:35:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.00753","created_at":"2026-05-18T01:35:21Z"},{"alias_kind":"pith_short_12","alias_value":"REOPYDFE7UJ2","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"REOPYDFE7UJ2IMUD","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"REOPYDFE","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:1c424c48c4f80dcb15e6570db1c2907d9260c01d6abc7aec9ecf3359cb10de34","target":"graph","created_at":"2026-05-18T01:35:21Z","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 give a local representation for the pseudoholomorphic surfaces in Euclidean spheres in terms of holomorphic data. Similar to the case of the generalized Weierstrass representation of Hoffman and Osserman, we assign such a surface in $\\Sf^{2n}$ to a given set of $n$ holomorphic functions defined on a simply-connected domain in $\\C$.","authors_text":"M. Dajczer, Th. Vlachos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-08-04T12:33:28Z","title":"A representation for pseudoholomorphic surfaces in spheres"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.00753","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:f95f9497f724f43a72e8df8d0eb6e3e3b3d5296b73b1c617cd4df1c10ef45f1f","target":"record","created_at":"2026-05-18T01:35:21Z","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":"044a12ec3a903d74bd8c7b315b59bd86f9d5e753ebf93ccb8b503b67438780c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-08-04T12:33:28Z","title_canon_sha256":"be1d4cd8125166cd8896c70f4f4ca3f9724c87d3d6b655c2f6171c06c1b6c2fd"},"schema_version":"1.0","source":{"id":"1508.00753","kind":"arxiv","version":2}},"canonical_sha256":"891cfc0ca4fd13a43283553a094c82a70315915b2cb62d365307920f9454bcb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"891cfc0ca4fd13a43283553a094c82a70315915b2cb62d365307920f9454bcb9","first_computed_at":"2026-05-18T01:35:21.966358Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:21.966358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xqK3zwtvGx1SHwUCF2J9UsdQqj/ay5U/VElzObEIe+uj3ZfJKIm4npLYm0UngPA8xQo+im203qbw+D6OYw5+DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:21.967188Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.00753","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f95f9497f724f43a72e8df8d0eb6e3e3b3d5296b73b1c617cd4df1c10ef45f1f","sha256:1c424c48c4f80dcb15e6570db1c2907d9260c01d6abc7aec9ecf3359cb10de34"],"state_sha256":"4afc94fe5c70bbf2a20579af7b477603811dff74180877e133816951190fb89f"}