{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZBV6G6TCTGRC7XURIDIUPKU27C","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":"bea37daa5b098f64da0cd3442360ae0633f125da482abc8356d3cbac59c6d4e9","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-10-18T18:00:08Z","title_canon_sha256":"b362ab26d09139963e391e638bdcefeef0514efef6ff363fb4fc040ee8cebed4"},"schema_version":"1.0","source":{"id":"1710.06865","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.06865","created_at":"2026-05-18T00:22:49Z"},{"alias_kind":"arxiv_version","alias_value":"1710.06865v2","created_at":"2026-05-18T00:22:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.06865","created_at":"2026-05-18T00:22:49Z"},{"alias_kind":"pith_short_12","alias_value":"ZBV6G6TCTGRC","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZBV6G6TCTGRC7XUR","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZBV6G6TC","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:2e21cdc336fdec9981255ff0c8f2f33db8dd62a6aa9c289ed31bcf322d9dcbe3","target":"graph","created_at":"2026-05-18T00:22:49Z","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":"Recently, the infinitesimal moduli space of heterotic $G_2$ compactifications was described in supergravity and related to the cohomology of a target space differential. In this paper we identify the marginal deformations of the corresponding heterotic nonlinear sigma model with cohomology classes of a worldsheet BRST operator. This BRST operator is nilpotent if and only if the target space geometry satisfies the heterotic supersymmetry conditions. We relate this to the supergravity approach by showing that the corresponding cohomologies are indeed isomorphic. We work at tree-level in $\\alpha'","authors_text":"Callum Quigley, Eirik Eik Svanes, Marc-Antoine Fiset","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-10-18T18:00:08Z","title":"Marginal deformations of heterotic $G_2$ sigma models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.06865","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":"sha256:6a1381df5b883a77cf8c900291004bfc8a43926b3fd97fc01d8a22a80e7c0f97","target":"record","created_at":"2026-05-18T00:22:49Z","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":"bea37daa5b098f64da0cd3442360ae0633f125da482abc8356d3cbac59c6d4e9","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-10-18T18:00:08Z","title_canon_sha256":"b362ab26d09139963e391e638bdcefeef0514efef6ff363fb4fc040ee8cebed4"},"schema_version":"1.0","source":{"id":"1710.06865","kind":"arxiv","version":2}},"canonical_sha256":"c86be37a6299a22fde9140d147aa9af881ce8e54fbcda9f713cb0bab1f942e1f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c86be37a6299a22fde9140d147aa9af881ce8e54fbcda9f713cb0bab1f942e1f","first_computed_at":"2026-05-18T00:22:49.209487Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:49.209487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aHupKxxMJRQ1H8IndNGasEB084LkfBsxEKu8MJLMuHoybItpttV2eXTdkh+cGynXTTGpS0NItxBa9QH1WDlSDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:49.209982Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.06865","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a1381df5b883a77cf8c900291004bfc8a43926b3fd97fc01d8a22a80e7c0f97","sha256:2e21cdc336fdec9981255ff0c8f2f33db8dd62a6aa9c289ed31bcf322d9dcbe3"],"state_sha256":"88ff3ad9fab34b1edbf0498d453ed4c83a662f0fbb9ef9d6ceea37b8dd331d6a"}