{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:5PBWIGLJHSU2SDPOU6GIWWA6J7","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":"142c45889cce3ed607c6a52be2b8fccda8cee3a4bc34a054ed1eb81c3e1a33b2","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-15T08:57:17Z","title_canon_sha256":"b6d87d7eb2dd99e967de92e48ff542f68bb8a077f9dc5990988fb8a259de62a9"},"schema_version":"1.0","source":{"id":"1003.2864","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.2864","created_at":"2026-05-18T04:34:27Z"},{"alias_kind":"arxiv_version","alias_value":"1003.2864v3","created_at":"2026-05-18T04:34:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.2864","created_at":"2026-05-18T04:34:27Z"},{"alias_kind":"pith_short_12","alias_value":"5PBWIGLJHSU2","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5PBWIGLJHSU2SDPO","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5PBWIGLJ","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:870e79d4ecc66cf07d924c305b62ee9631283e327859ca16342bb1187696cc3d","target":"graph","created_at":"2026-05-18T04:34:27Z","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":"Heterotic horizons preserving 4 supersymmetries have sections which are T^2 fibrations over 6-dimensional conformally balanced Hermitian manifolds. We give new examples of horizons with sections S^3 X S^3 X T^2 and SU(3). We then examine the heterotic horizons which are T^4 fibrations over a Kahler 4-dimensional manifold. We prove that the solutions depend on 6 functions which are determined by a non-linear differential system of 6 equations that include the Monge-Ampere equation. We show that this system has an explicit solution for the Kahler manifold S^2 X S^2. We also demonstrate that ther","authors_text":"G. Papadopoulos, J. Gutowski","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-15T08:57:17Z","title":"Heterotic horizons, Monge-Ampere equation and del Pezzo surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.2864","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":"sha256:1f31266507fc0b37728cebd089b578ceb5337f12b46ff3b388492cfd74f6912b","target":"record","created_at":"2026-05-18T04:34:27Z","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":"142c45889cce3ed607c6a52be2b8fccda8cee3a4bc34a054ed1eb81c3e1a33b2","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-15T08:57:17Z","title_canon_sha256":"b6d87d7eb2dd99e967de92e48ff542f68bb8a077f9dc5990988fb8a259de62a9"},"schema_version":"1.0","source":{"id":"1003.2864","kind":"arxiv","version":3}},"canonical_sha256":"ebc36419693ca9a90deea78c8b581e4ff07a8cdfc12b6c64b2411c6dda531bc3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ebc36419693ca9a90deea78c8b581e4ff07a8cdfc12b6c64b2411c6dda531bc3","first_computed_at":"2026-05-18T04:34:27.711541Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:27.711541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jaC9dhHDoSlpfaV5WwUtJKoCKfl/tAKaWioSuIxJHFGfFEWfDJWHmV5JjIxrIeWOP7UmSQQIbevWSdKuA44sCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:27.712085Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.2864","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f31266507fc0b37728cebd089b578ceb5337f12b46ff3b388492cfd74f6912b","sha256:870e79d4ecc66cf07d924c305b62ee9631283e327859ca16342bb1187696cc3d"],"state_sha256":"a28f713c63d8f42ffe8c218dfe4b86cf4182c86c472df6369371add472e05693"}