{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:HMU2N3L7YNWO4ED2LUNJIT3J34","short_pith_number":"pith:HMU2N3L7","schema_version":"1.0","canonical_sha256":"3b29a6ed7fc36cee107a5d1a944f69df04b52b301a37b0b52e7f0c9bbe13f86a","source":{"kind":"arxiv","id":"2409.04382","version":3},"attestation_state":"computed","paper":{"title":"Local descriptions of the heterotic SU(3) moduli space","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.DG","authors_text":"Eirik Eik Svanes, Hannah de L\\'azari, Henrique S\\'a Earp, Jason D. Lotay","submitted_at":"2024-09-06T16:19:13Z","abstract_excerpt":"The heterotic $SU(3)$ system, also known as the Hull--Strominger system, arises from compactifications of heterotic string theory to six dimensions. This paper investigates the local structure of the moduli space of solutions to this system on a compact 6-manifold $X$, using a vector bundle $Q=(T^{1,0}X)^* \\oplus {End}(E) \\oplus T^{1,0}X$, where $E\\to X$ is the classical gauge bundle arising in the system. We establish that the moduli space has an expected dimension of zero. We achieve this by studying the deformation complex associated to a differential operator $\\bar{D}$, which emulates a ho"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2409.04382","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2024-09-06T16:19:13Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"079d326f679cb9f559e0d2a933ad838e31974bacbb4cb5ad2ded67a7637e9350","abstract_canon_sha256":"a74ac872e7ac43752609978f87f874c569aecd86ab250caf5c9e2471a5b9f82b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:40:35.524615Z","signature_b64":"WjFUIQYZUOUd4WKLcx/UR6J+ij1OVbjGR5537VxmyDCqWhAOTGQ4+lNO5yqRBYf/6q6IJst/l06T4O5vuPXlAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b29a6ed7fc36cee107a5d1a944f69df04b52b301a37b0b52e7f0c9bbe13f86a","last_reissued_at":"2026-07-05T10:40:35.524125Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:40:35.524125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local descriptions of the heterotic SU(3) moduli space","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.DG","authors_text":"Eirik Eik Svanes, Hannah de L\\'azari, Henrique S\\'a Earp, Jason D. Lotay","submitted_at":"2024-09-06T16:19:13Z","abstract_excerpt":"The heterotic $SU(3)$ system, also known as the Hull--Strominger system, arises from compactifications of heterotic string theory to six dimensions. This paper investigates the local structure of the moduli space of solutions to this system on a compact 6-manifold $X$, using a vector bundle $Q=(T^{1,0}X)^* \\oplus {End}(E) \\oplus T^{1,0}X$, where $E\\to X$ is the classical gauge bundle arising in the system. We establish that the moduli space has an expected dimension of zero. We achieve this by studying the deformation complex associated to a differential operator $\\bar{D}$, which emulates a ho"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.04382","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2409.04382/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2409.04382","created_at":"2026-07-05T10:40:35.524185+00:00"},{"alias_kind":"arxiv_version","alias_value":"2409.04382v3","created_at":"2026-07-05T10:40:35.524185+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.04382","created_at":"2026-07-05T10:40:35.524185+00:00"},{"alias_kind":"pith_short_12","alias_value":"HMU2N3L7YNWO","created_at":"2026-07-05T10:40:35.524185+00:00"},{"alias_kind":"pith_short_16","alias_value":"HMU2N3L7YNWO4ED2","created_at":"2026-07-05T10:40:35.524185+00:00"},{"alias_kind":"pith_short_8","alias_value":"HMU2N3L7","created_at":"2026-07-05T10:40:35.524185+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.12055","citing_title":"On a Deformed Holomorphic Chern-Simons Theory","ref_index":18,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HMU2N3L7YNWO4ED2LUNJIT3J34","json":"https://pith.science/pith/HMU2N3L7YNWO4ED2LUNJIT3J34.json","graph_json":"https://pith.science/api/pith-number/HMU2N3L7YNWO4ED2LUNJIT3J34/graph.json","events_json":"https://pith.science/api/pith-number/HMU2N3L7YNWO4ED2LUNJIT3J34/events.json","paper":"https://pith.science/paper/HMU2N3L7"},"agent_actions":{"view_html":"https://pith.science/pith/HMU2N3L7YNWO4ED2LUNJIT3J34","download_json":"https://pith.science/pith/HMU2N3L7YNWO4ED2LUNJIT3J34.json","view_paper":"https://pith.science/paper/HMU2N3L7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2409.04382&json=true","fetch_graph":"https://pith.science/api/pith-number/HMU2N3L7YNWO4ED2LUNJIT3J34/graph.json","fetch_events":"https://pith.science/api/pith-number/HMU2N3L7YNWO4ED2LUNJIT3J34/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HMU2N3L7YNWO4ED2LUNJIT3J34/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HMU2N3L7YNWO4ED2LUNJIT3J34/action/storage_attestation","attest_author":"https://pith.science/pith/HMU2N3L7YNWO4ED2LUNJIT3J34/action/author_attestation","sign_citation":"https://pith.science/pith/HMU2N3L7YNWO4ED2LUNJIT3J34/action/citation_signature","submit_replication":"https://pith.science/pith/HMU2N3L7YNWO4ED2LUNJIT3J34/action/replication_record"}},"created_at":"2026-07-05T10:40:35.524185+00:00","updated_at":"2026-07-05T10:40:35.524185+00:00"}