{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:OA5UDKG63RYDKUP3FOHREME4UB","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":"1f9ee7db555e724d078aaf0bb7b468a3ebb70fd2eab46b7fcbc348134f6a928f","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"math.QA","submitted_at":"2006-01-22T18:13:41Z","title_canon_sha256":"3e8d5ef950d7fccece8f41e8fd60bee61d4abbab479e8ce6bdfbafb6e9a08ee7"},"schema_version":"1.0","source":{"id":"math/0601532","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0601532","created_at":"2026-05-18T03:02:31Z"},{"alias_kind":"arxiv_version","alias_value":"math/0601532v2","created_at":"2026-05-18T03:02:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0601532","created_at":"2026-05-18T03:02:31Z"},{"alias_kind":"pith_short_12","alias_value":"OA5UDKG63RYD","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"OA5UDKG63RYDKUP3","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"OA5UDKG6","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:ce2120f9fb9cd3955b0b64558374aa12e4e6501e7cfad074f4a910e85d9f7e4b","target":"graph","created_at":"2026-05-18T03:02:31Z","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 present a superfield formulation of the chiral de Rham complex (CDR) of Malikov-Schechtman-Vaintrob in the setting of a general smooth manifold, and use it to endow CDR with superconformal structures of geometric origin. Given a Riemannian metric, we construct an N=1 structure on CDR (action of the N=1 super--Virasoro, or Neveu--Schwarz, algebra). If the metric is K\"ahler, and the manifold Ricci-flat, this is augmented to an N=2 structure. Finally, if the manifold is hyperk\"ahler, we obtain an N=4 structure. The superconformal structures are constructed directly from the Levi-Civita connect","authors_text":"David Ben-Zvi, Matthew Szczesny, Reimundo Heluani","cross_cats":["math.AG"],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"2006-01-22T18:13:41Z","title":"Supersymmetry of the Chiral de Rham Complex"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0601532","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:b7bb21b81da9b1c5cf5821f3560018ac72fc613351f644f44d9d75a5793d9679","target":"record","created_at":"2026-05-18T03:02:31Z","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":"1f9ee7db555e724d078aaf0bb7b468a3ebb70fd2eab46b7fcbc348134f6a928f","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"math.QA","submitted_at":"2006-01-22T18:13:41Z","title_canon_sha256":"3e8d5ef950d7fccece8f41e8fd60bee61d4abbab479e8ce6bdfbafb6e9a08ee7"},"schema_version":"1.0","source":{"id":"math/0601532","kind":"arxiv","version":2}},"canonical_sha256":"703b41a8dedc703551fb2b8f12309ca0757f6878e3bb834d1bd90f1b8d8624a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"703b41a8dedc703551fb2b8f12309ca0757f6878e3bb834d1bd90f1b8d8624a7","first_computed_at":"2026-05-18T03:02:31.221746Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:31.221746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mtzq5+O7zdHv39NSz9KWiKgA6orwnKFCfPguiTPj8iXpEpai9+XhwGImxzxWa32oVO5hE9a3tsc5mrXE/vsGDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:31.222430Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0601532","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7bb21b81da9b1c5cf5821f3560018ac72fc613351f644f44d9d75a5793d9679","sha256:ce2120f9fb9cd3955b0b64558374aa12e4e6501e7cfad074f4a910e85d9f7e4b"],"state_sha256":"3b1474cbd960c88c7fbf761f7224ba6ba3729d1f2d6ddc967b442c3420848f6b"}