{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SWL7Y5P6HTUDM6BST2XXZLFQ2F","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":"74894936ec84e0b676d2db3ace03534654d20c9594d895d3492a39175895d9bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-05T21:00:15Z","title_canon_sha256":"d37ddb6ee8d4834a2a6d10c8f09ce4c9e6b78b3b9a3a629165100ef31242cca7"},"schema_version":"1.0","source":{"id":"1501.00987","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.00987","created_at":"2026-05-18T01:37:19Z"},{"alias_kind":"arxiv_version","alias_value":"1501.00987v3","created_at":"2026-05-18T01:37:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.00987","created_at":"2026-05-18T01:37:19Z"},{"alias_kind":"pith_short_12","alias_value":"SWL7Y5P6HTUD","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SWL7Y5P6HTUDM6BS","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SWL7Y5P6","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:33a4796d4166973e73dde5bd51efcfad8cdcb9ffa3481e35c6b190eb97b2e40d","target":"graph","created_at":"2026-05-18T01:37:19Z","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":"In this paper we compute spaces of chiral operators in general two-dimensional (0,2) nonlinear sigma models, both in theories twistable to the A/2 or B/2 model, as well as in non-twistable theories, and apply them to check recent duality conjectures. The fact that in a nonlinear sigma model, the Fock vacuum can act as a section of a line bundle on the target space plays a crucial role in our (0,2) computations, so we begin with a review of this property. We also take this opportunity to show how even in (2,2) theories, the Fock vacuum encodes in this way choices of target space spin structures","authors_text":"B. Jia, E. Sharpe, J. Guo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-05T21:00:15Z","title":"Chiral operators in two-dimensional (0,2) theories and a test of triality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.00987","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:a8cc7c8947138981a9a0f1fabb60f6f3dd18ccff5957f7cb35110096366f6f2d","target":"record","created_at":"2026-05-18T01:37:19Z","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":"74894936ec84e0b676d2db3ace03534654d20c9594d895d3492a39175895d9bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-05T21:00:15Z","title_canon_sha256":"d37ddb6ee8d4834a2a6d10c8f09ce4c9e6b78b3b9a3a629165100ef31242cca7"},"schema_version":"1.0","source":{"id":"1501.00987","kind":"arxiv","version":3}},"canonical_sha256":"9597fc75fe3ce83678329eaf7cacb0d1454103209aba8f50b6df9406cdb514c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9597fc75fe3ce83678329eaf7cacb0d1454103209aba8f50b6df9406cdb514c7","first_computed_at":"2026-05-18T01:37:19.266395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:19.266395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Saqo8u9VGa1NAlmqw12RuJEEA2vX8hkNyPfUjSLljPRkWzMJbENs+cYw17HegrapRlqGO0G6T9dZCwMV1P2RDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:19.266933Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.00987","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8cc7c8947138981a9a0f1fabb60f6f3dd18ccff5957f7cb35110096366f6f2d","sha256:33a4796d4166973e73dde5bd51efcfad8cdcb9ffa3481e35c6b190eb97b2e40d"],"state_sha256":"78baa9f51d0a841d7a2d721644158ac2e34366cbce0d9bd78e3837fea6b50010"}