{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:HBTE6JI55AA6TPCJHOF67XITUZ","short_pith_number":"pith:HBTE6JI5","canonical_record":{"source":{"id":"1004.5242","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-29T10:34:46Z","cross_cats_sorted":[],"title_canon_sha256":"2f344a1c8f285ec23aa22d6be9073b20f4e1705be9872aa424fd673d88710159","abstract_canon_sha256":"1b49b4eff9b6ea4701f6bf9b61a0aeb045ee32dd1b703b5acaf08cd26d78fd82"},"schema_version":"1.0"},"canonical_sha256":"38664f251de801e9bc493b8befdd13a669c0fcafc152539da37caafaee181ba6","source":{"kind":"arxiv","id":"1004.5242","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.5242","created_at":"2026-05-18T04:40:20Z"},{"alias_kind":"arxiv_version","alias_value":"1004.5242v2","created_at":"2026-05-18T04:40:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.5242","created_at":"2026-05-18T04:40:20Z"},{"alias_kind":"pith_short_12","alias_value":"HBTE6JI55AA6","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HBTE6JI55AA6TPCJ","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HBTE6JI5","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:HBTE6JI55AA6TPCJHOF67XITUZ","target":"record","payload":{"canonical_record":{"source":{"id":"1004.5242","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-29T10:34:46Z","cross_cats_sorted":[],"title_canon_sha256":"2f344a1c8f285ec23aa22d6be9073b20f4e1705be9872aa424fd673d88710159","abstract_canon_sha256":"1b49b4eff9b6ea4701f6bf9b61a0aeb045ee32dd1b703b5acaf08cd26d78fd82"},"schema_version":"1.0"},"canonical_sha256":"38664f251de801e9bc493b8befdd13a669c0fcafc152539da37caafaee181ba6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:20.242068Z","signature_b64":"AcYSZLjEv17mdsWsMRSA1QohKeAbOdENOHN7Ey2kuLPJmUCUW6hj8jMO2uNphxudLv+eZWJGhStBXiwcv7TxCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38664f251de801e9bc493b8befdd13a669c0fcafc152539da37caafaee181ba6","last_reissued_at":"2026-05-18T04:40:20.241395Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:20.241395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.5242","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":"2026-05-18T04:40:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cdn64PcsEAAfjDRNk5Fi6tNyFcGnTLFVGDd7IDD+2+qLoHMrqjMWD6M0i+x4PVX0X2czQy5mGqMHBLLJ7aLFBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:44:46.305557Z"},"content_sha256":"a2125362113f441e6a72a24bdad422e61a5fc07465dcffb8875de03157b9070a","schema_version":"1.0","event_id":"sha256:a2125362113f441e6a72a24bdad422e61a5fc07465dcffb8875de03157b9070a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:HBTE6JI55AA6TPCJHOF67XITUZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extremal solutions of the S3 model and nilpotent orbits of G2(2)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Amitabh Virmani, Jakob Palmkvist, Josef Lindman H\\\"ornlund, Sung-Soo Kim","submitted_at":"2010-04-29T10:34:46Z","abstract_excerpt":"We study extremal black hole solutions of the S3 model (obtained by setting S=T=U in the STU model) using group theoretical methods. Upon dimensional reduction over time, the S3 model exhibits the pseudo-Riemannian coset structure G/K with G=G2(2) and K=SO(2,2). We study nilpotent K-orbits of G2(2) corresponding to non-rotating single-center extremal solutions. We find six such distinct K-orbits. Three of these orbits are supersymmetric, one is non-supersymmetric, and two are unphysical. We write general solutions and discuss examples in all four physical orbits. We show that all solutions in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.5242","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":"2026-05-18T04:40:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QCKgbLwqLLxyr+1AJPVWLs4Wuj7v4MeeQmPAL9xi5Qjz/cePes6zUneHiozESOLbxFBY8+kwSE8X/JiSTatFDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:44:46.305898Z"},"content_sha256":"b67735c1d3f63ba6847ec3e878432afbf38c4176c99f91b3f1a6f64a9c236f5f","schema_version":"1.0","event_id":"sha256:b67735c1d3f63ba6847ec3e878432afbf38c4176c99f91b3f1a6f64a9c236f5f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HBTE6JI55AA6TPCJHOF67XITUZ/bundle.json","state_url":"https://pith.science/pith/HBTE6JI55AA6TPCJHOF67XITUZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HBTE6JI55AA6TPCJHOF67XITUZ/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":"2026-06-01T12:44:46Z","links":{"resolver":"https://pith.science/pith/HBTE6JI55AA6TPCJHOF67XITUZ","bundle":"https://pith.science/pith/HBTE6JI55AA6TPCJHOF67XITUZ/bundle.json","state":"https://pith.science/pith/HBTE6JI55AA6TPCJHOF67XITUZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HBTE6JI55AA6TPCJHOF67XITUZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:HBTE6JI55AA6TPCJHOF67XITUZ","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":"1b49b4eff9b6ea4701f6bf9b61a0aeb045ee32dd1b703b5acaf08cd26d78fd82","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-29T10:34:46Z","title_canon_sha256":"2f344a1c8f285ec23aa22d6be9073b20f4e1705be9872aa424fd673d88710159"},"schema_version":"1.0","source":{"id":"1004.5242","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.5242","created_at":"2026-05-18T04:40:20Z"},{"alias_kind":"arxiv_version","alias_value":"1004.5242v2","created_at":"2026-05-18T04:40:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.5242","created_at":"2026-05-18T04:40:20Z"},{"alias_kind":"pith_short_12","alias_value":"HBTE6JI55AA6","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HBTE6JI55AA6TPCJ","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HBTE6JI5","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:b67735c1d3f63ba6847ec3e878432afbf38c4176c99f91b3f1a6f64a9c236f5f","target":"graph","created_at":"2026-05-18T04:40:20Z","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 study extremal black hole solutions of the S3 model (obtained by setting S=T=U in the STU model) using group theoretical methods. Upon dimensional reduction over time, the S3 model exhibits the pseudo-Riemannian coset structure G/K with G=G2(2) and K=SO(2,2). We study nilpotent K-orbits of G2(2) corresponding to non-rotating single-center extremal solutions. We find six such distinct K-orbits. Three of these orbits are supersymmetric, one is non-supersymmetric, and two are unphysical. We write general solutions and discuss examples in all four physical orbits. We show that all solutions in ","authors_text":"Amitabh Virmani, Jakob Palmkvist, Josef Lindman H\\\"ornlund, Sung-Soo Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-29T10:34:46Z","title":"Extremal solutions of the S3 model and nilpotent orbits of G2(2)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.5242","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:a2125362113f441e6a72a24bdad422e61a5fc07465dcffb8875de03157b9070a","target":"record","created_at":"2026-05-18T04:40:20Z","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":"1b49b4eff9b6ea4701f6bf9b61a0aeb045ee32dd1b703b5acaf08cd26d78fd82","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-29T10:34:46Z","title_canon_sha256":"2f344a1c8f285ec23aa22d6be9073b20f4e1705be9872aa424fd673d88710159"},"schema_version":"1.0","source":{"id":"1004.5242","kind":"arxiv","version":2}},"canonical_sha256":"38664f251de801e9bc493b8befdd13a669c0fcafc152539da37caafaee181ba6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38664f251de801e9bc493b8befdd13a669c0fcafc152539da37caafaee181ba6","first_computed_at":"2026-05-18T04:40:20.241395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:20.241395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AcYSZLjEv17mdsWsMRSA1QohKeAbOdENOHN7Ey2kuLPJmUCUW6hj8jMO2uNphxudLv+eZWJGhStBXiwcv7TxCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:20.242068Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.5242","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2125362113f441e6a72a24bdad422e61a5fc07465dcffb8875de03157b9070a","sha256:b67735c1d3f63ba6847ec3e878432afbf38c4176c99f91b3f1a6f64a9c236f5f"],"state_sha256":"5abb74597e06508ed465e76e33f9c205faa4826f9a2d8b5cf119c7d695dde7aa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p9XeFdYkY//L+FBtG/94tj5NhQRtCa+a8FfvcwmuRcZrxS7mbW750WvF0n8zCXk70brtA9ZY/zn+9/gwvqZtDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T12:44:46.307930Z","bundle_sha256":"6f1f960bd21977f837f794ebf757625000a86bd96c17ffd6b3d3fa0dd846167d"}}