{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:H66I2ICSKQBPREN2EDFXZNEOPB","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":"8f238a8f18a51b9f31e395e06d38c9fcabf2ab75bcfde022c5fe7e19832bebcd","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-02-12T12:13:46Z","title_canon_sha256":"ebfd3eb329b3d57a17d0f9dcc3811ee6c6ac3ebd1b31b710c4c110f0a3cd4937"},"schema_version":"1.0","source":{"id":"hep-th/0702088","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0702088","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0702088v2","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0702088","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"pith_short_12","alias_value":"H66I2ICSKQBP","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"H66I2ICSKQBPREN2","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"H66I2ICS","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:837d2873538a6d84866fa4b41e046ff07d13a3bf33689fced3aa541f4c6b31ac","target":"graph","created_at":"2026-05-18T04:38:38Z","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 exploit some common features of black hole and domain wall solutions of (super)gravity theories coupled to scalar fields and construct a class of stable extremal black holes that are non-BPS, but still can be described by first-order differential equations. These are driven by a \"superpotential'', which replaces the central charge Z in the usual black hole potential. We provide a general procedure for finding this class and deriving the associated \"superpotential''. We also identify some other cases which do not belong to this class, but show a similar behaviour.","authors_text":"Anna Ceresole, Gianguido Dall'Agata","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2007-02-12T12:13:46Z","title":"Flow Equations for Non-BPS Extremal Black Holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0702088","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":"sha256:582a94932036184c6aa44e87bdc576e09d1b67b3c8a6f229d490f99d0cc593e8","target":"record","created_at":"2026-05-18T04:38:38Z","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":"8f238a8f18a51b9f31e395e06d38c9fcabf2ab75bcfde022c5fe7e19832bebcd","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-02-12T12:13:46Z","title_canon_sha256":"ebfd3eb329b3d57a17d0f9dcc3811ee6c6ac3ebd1b31b710c4c110f0a3cd4937"},"schema_version":"1.0","source":{"id":"hep-th/0702088","kind":"arxiv","version":2}},"canonical_sha256":"3fbc8d20525402f891ba20cb7cb48e7845289127206d2704e5c9042794d9d8c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3fbc8d20525402f891ba20cb7cb48e7845289127206d2704e5c9042794d9d8c7","first_computed_at":"2026-05-18T04:38:38.124869Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:38.124869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BNm2mGTJQ81M9AnZqvDgERf+uw5qOZ0OeImgCDFz1PxLlohSZbF6bai+ixjjgl/dh9lO5+sSLTHDe7QqUK6mCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:38.125673Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0702088","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:582a94932036184c6aa44e87bdc576e09d1b67b3c8a6f229d490f99d0cc593e8","sha256:837d2873538a6d84866fa4b41e046ff07d13a3bf33689fced3aa541f4c6b31ac"],"state_sha256":"be3b807df2620ca4c2c8b7358d3700b6c78176527f17655e447c84022ac1d3ce"}