{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ROQOKDSB7KW62Y2OVX3UP4TD47","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":"4584e578b7ba72f1560cb1cb7e4625ed685f25212670a6e49156315f9c2a23ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-02T22:01:58Z","title_canon_sha256":"08f13ea8d7f54eab7a584e22e842ab2557d9151128ebbab5733afe39bf4064fa"},"schema_version":"1.0","source":{"id":"1008.0419","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0419","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0419v2","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0419","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"pith_short_12","alias_value":"ROQOKDSB7KW6","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"ROQOKDSB7KW62Y2O","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"ROQOKDSB","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:7e70b07d1d4f2a5da935c529099537104246d142e379d3e38103dbafd204be5f","target":"graph","created_at":"2026-05-18T04:23:46Z","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 short note we discuss quantization of the Fayet-Iliopoulos parameter in supergravity theories. We argue that in supergravity, the Fayet-Iliopoulos parameter determines a lift of the group action to a line bundle, and such lifts are quantized. Just as D-terms in rigid N=1 supersymmetry are interpreted in terms of moment maps and symplectic reductions, we argue that in supergravity the quantization of the Fayet-Iliopoulos parameter has a natural understanding in terms of linearizations in geometric invariant theory (GIT) quotients, the algebro-geometric version of symplectic quotients.","authors_text":"Eric Sharpe, Jacques Distler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-02T22:01:58Z","title":"Quantization of Fayet-Iliopoulos Parameters in Supergravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0419","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:dd1b991a61d9350dc1226e28bfb74422aea35166635ad21f3c8c3bedefc2fe29","target":"record","created_at":"2026-05-18T04:23:46Z","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":"4584e578b7ba72f1560cb1cb7e4625ed685f25212670a6e49156315f9c2a23ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-02T22:01:58Z","title_canon_sha256":"08f13ea8d7f54eab7a584e22e842ab2557d9151128ebbab5733afe39bf4064fa"},"schema_version":"1.0","source":{"id":"1008.0419","kind":"arxiv","version":2}},"canonical_sha256":"8ba0e50e41faaded634eadf747f263e7c1ae9c895d90ee4d596e6cc3b23ffdc7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ba0e50e41faaded634eadf747f263e7c1ae9c895d90ee4d596e6cc3b23ffdc7","first_computed_at":"2026-05-18T04:23:46.290334Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:46.290334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/7R6KmXq672cQertaqa4N1PHjsaZtuyjPeE+tEFJzod2eJvHo6/5oFN8jnPgZif55oBGcCJcdZoMb8b4W+FdAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:46.290979Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.0419","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd1b991a61d9350dc1226e28bfb74422aea35166635ad21f3c8c3bedefc2fe29","sha256:7e70b07d1d4f2a5da935c529099537104246d142e379d3e38103dbafd204be5f"],"state_sha256":"686a49ea604e7e60f686d6af52cedcfcf7f3ab4acd6082217602d68cbb15d932"}