{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:RSLEO6YWEKLOODUQTFKVEBHQ5A","short_pith_number":"pith:RSLEO6YW","canonical_record":{"source":{"id":"1012.4020","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-17T21:10:06Z","cross_cats_sorted":[],"title_canon_sha256":"9e1b5d671afe2d8c5de4036d5038690e04adeee2fa0baadb21cbac8f1448d50d","abstract_canon_sha256":"67d98399a730c6f575636a371b537b3ce418f8abf44f41b31371a2a6943683ac"},"schema_version":"1.0"},"canonical_sha256":"8c96477b162296e70e9099555204f0e83c614a313109a9e5eebae626dae1540b","source":{"kind":"arxiv","id":"1012.4020","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.4020","created_at":"2026-05-18T04:19:32Z"},{"alias_kind":"arxiv_version","alias_value":"1012.4020v2","created_at":"2026-05-18T04:19:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.4020","created_at":"2026-05-18T04:19:32Z"},{"alias_kind":"pith_short_12","alias_value":"RSLEO6YWEKLO","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"RSLEO6YWEKLOODUQ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"RSLEO6YW","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:RSLEO6YWEKLOODUQTFKVEBHQ5A","target":"record","payload":{"canonical_record":{"source":{"id":"1012.4020","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-17T21:10:06Z","cross_cats_sorted":[],"title_canon_sha256":"9e1b5d671afe2d8c5de4036d5038690e04adeee2fa0baadb21cbac8f1448d50d","abstract_canon_sha256":"67d98399a730c6f575636a371b537b3ce418f8abf44f41b31371a2a6943683ac"},"schema_version":"1.0"},"canonical_sha256":"8c96477b162296e70e9099555204f0e83c614a313109a9e5eebae626dae1540b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:32.143338Z","signature_b64":"BKJTimdoAUW2Yxf78hlfc4WNYfKjpKd/8dhyMdOipnep1EP/VFAXmv2pra2sYY7OXNMHbtD6fwYjUXLj5YdEAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c96477b162296e70e9099555204f0e83c614a313109a9e5eebae626dae1540b","last_reissued_at":"2026-05-18T04:19:32.142941Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:32.142941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.4020","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:19:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WhZgffssfCc7yMttf+yGh4UIZf+MYZF2aem0MA855m7iyJzc+qq3oc7asXU8OCkMj+1dciwwnn5XMmZHALqXBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:11:55.563575Z"},"content_sha256":"e51fc02f68acfe3e28c9fc0a5436e69e090e61a2f19304fb75d6d08f2cb3deef","schema_version":"1.0","event_id":"sha256:e51fc02f68acfe3e28c9fc0a5436e69e090e61a2f19304fb75d6d08f2cb3deef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:RSLEO6YWEKLOODUQTFKVEBHQ5A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"First-order flows and stabilisation equations for non-BPS extremal black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jan Perz, Kevin Goldstein, Pietro Galli, Stefanos Katmadas","submitted_at":"2010-12-17T21:10:06Z","abstract_excerpt":"We derive a generalised form of flow equations for extremal static and rotating non-BPS black holes in four-dimensional ungauged N = 2 supergravity coupled to vector multiplets. For particular charge vectors, we give stabilisation equations for the scalars, analogous to the BPS case, describing full known solutions. Based on this, we propose a generic ansatz for the stabilisation equations, which surprisingly includes ratios of harmonic functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.4020","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:19:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OoyBDx8FMuHO0ut7aOUkuvPkPr8CljIcKwpGaEsLHVy3P/0jpj4bJYmvHvGH0QgFtni3r5j3Uz8BivhUqNg5Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:11:55.563968Z"},"content_sha256":"1676cb9e6add1b4634330bc7d5167bdfb7c56240a276cc5dd28f2812e8912498","schema_version":"1.0","event_id":"sha256:1676cb9e6add1b4634330bc7d5167bdfb7c56240a276cc5dd28f2812e8912498"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RSLEO6YWEKLOODUQTFKVEBHQ5A/bundle.json","state_url":"https://pith.science/pith/RSLEO6YWEKLOODUQTFKVEBHQ5A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RSLEO6YWEKLOODUQTFKVEBHQ5A/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-09T19:11:55Z","links":{"resolver":"https://pith.science/pith/RSLEO6YWEKLOODUQTFKVEBHQ5A","bundle":"https://pith.science/pith/RSLEO6YWEKLOODUQTFKVEBHQ5A/bundle.json","state":"https://pith.science/pith/RSLEO6YWEKLOODUQTFKVEBHQ5A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RSLEO6YWEKLOODUQTFKVEBHQ5A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:RSLEO6YWEKLOODUQTFKVEBHQ5A","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":"67d98399a730c6f575636a371b537b3ce418f8abf44f41b31371a2a6943683ac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-17T21:10:06Z","title_canon_sha256":"9e1b5d671afe2d8c5de4036d5038690e04adeee2fa0baadb21cbac8f1448d50d"},"schema_version":"1.0","source":{"id":"1012.4020","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.4020","created_at":"2026-05-18T04:19:32Z"},{"alias_kind":"arxiv_version","alias_value":"1012.4020v2","created_at":"2026-05-18T04:19:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.4020","created_at":"2026-05-18T04:19:32Z"},{"alias_kind":"pith_short_12","alias_value":"RSLEO6YWEKLO","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"RSLEO6YWEKLOODUQ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"RSLEO6YW","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:1676cb9e6add1b4634330bc7d5167bdfb7c56240a276cc5dd28f2812e8912498","target":"graph","created_at":"2026-05-18T04:19:32Z","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 derive a generalised form of flow equations for extremal static and rotating non-BPS black holes in four-dimensional ungauged N = 2 supergravity coupled to vector multiplets. For particular charge vectors, we give stabilisation equations for the scalars, analogous to the BPS case, describing full known solutions. Based on this, we propose a generic ansatz for the stabilisation equations, which surprisingly includes ratios of harmonic functions.","authors_text":"Jan Perz, Kevin Goldstein, Pietro Galli, Stefanos Katmadas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-17T21:10:06Z","title":"First-order flows and stabilisation equations for non-BPS extremal black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.4020","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:e51fc02f68acfe3e28c9fc0a5436e69e090e61a2f19304fb75d6d08f2cb3deef","target":"record","created_at":"2026-05-18T04:19:32Z","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":"67d98399a730c6f575636a371b537b3ce418f8abf44f41b31371a2a6943683ac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-17T21:10:06Z","title_canon_sha256":"9e1b5d671afe2d8c5de4036d5038690e04adeee2fa0baadb21cbac8f1448d50d"},"schema_version":"1.0","source":{"id":"1012.4020","kind":"arxiv","version":2}},"canonical_sha256":"8c96477b162296e70e9099555204f0e83c614a313109a9e5eebae626dae1540b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c96477b162296e70e9099555204f0e83c614a313109a9e5eebae626dae1540b","first_computed_at":"2026-05-18T04:19:32.142941Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:32.142941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BKJTimdoAUW2Yxf78hlfc4WNYfKjpKd/8dhyMdOipnep1EP/VFAXmv2pra2sYY7OXNMHbtD6fwYjUXLj5YdEAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:32.143338Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.4020","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e51fc02f68acfe3e28c9fc0a5436e69e090e61a2f19304fb75d6d08f2cb3deef","sha256:1676cb9e6add1b4634330bc7d5167bdfb7c56240a276cc5dd28f2812e8912498"],"state_sha256":"7dd77c932974a051ce40fc9db73bab77cfb691de7fbdbba057a405d581b4b470"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+t2rbTU5bd4DX7pTSkQUSU3gTuBp9xMRFGqeBoKRJ87mf/3uMfQEpMkUnVuEzX6ngfHowGdlOYKsqnNrug25Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T19:11:55.566298Z","bundle_sha256":"4874e59b5230299a3dd60bfaadb98e635321523fad04ee5079b953dbcb88304a"}}