{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:FLMWQF237OBKELTQEI2I4LQ7JL","short_pith_number":"pith:FLMWQF23","canonical_record":{"source":{"id":"hep-th/0209051","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-09-05T20:30:05Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"04f4f64738e7f86c5e6f46c5549bae64b9020499fb6b25e19149eec4a275b941","abstract_canon_sha256":"8eb817d4aa5c813de70c7999cb82d6e9226f481c413401c3112fc67dc4a0afd6"},"schema_version":"1.0"},"canonical_sha256":"2ad968175bfb82a22e7022348e2e1f4ace5b431e6951f2f5d41f675c2449bc0b","source":{"kind":"arxiv","id":"hep-th/0209051","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0209051","created_at":"2026-05-18T00:37:10Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0209051v2","created_at":"2026-05-18T00:37:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0209051","created_at":"2026-05-18T00:37:10Z"},{"alias_kind":"pith_short_12","alias_value":"FLMWQF237OBK","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"FLMWQF237OBKELTQ","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"FLMWQF23","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:FLMWQF237OBKELTQEI2I4LQ7JL","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0209051","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-09-05T20:30:05Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"04f4f64738e7f86c5e6f46c5549bae64b9020499fb6b25e19149eec4a275b941","abstract_canon_sha256":"8eb817d4aa5c813de70c7999cb82d6e9226f481c413401c3112fc67dc4a0afd6"},"schema_version":"1.0"},"canonical_sha256":"2ad968175bfb82a22e7022348e2e1f4ace5b431e6951f2f5d41f675c2449bc0b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:10.387523Z","signature_b64":"zv5Tj6aaoHrLbqb8a0WbIJhSzL2AOemnsjM0fwvZUT5zFIP7F+GmLYyh4KmOemRVuHywPD2w1G9Q0UMskNo0AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ad968175bfb82a22e7022348e2e1f4ace5b431e6951f2f5d41f675c2449bc0b","last_reissued_at":"2026-05-18T00:37:10.386917Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:10.386917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0209051","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":"2026-05-18T00:37:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x8OdU/k3gtIaV85157Csz6H248kUfbnDYbDxbe+3aqNzrThwvEjb+M/zuwF4k0ui2yLjTqN7hV1fLaSUKrCBCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T19:47:35.856665Z"},"content_sha256":"d02f62b8d1b63a725a8ad349db419232e6f74e4be91b2fb29d2624f666b9c178","schema_version":"1.0","event_id":"sha256:d02f62b8d1b63a725a8ad349db419232e6f74e4be91b2fb29d2624f666b9c178"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:FLMWQF237OBKELTQEI2I4LQ7JL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"T. Wiseman","submitted_at":"2002-09-05T20:30:05Z","abstract_excerpt":"We describe new numerical methods to solve the static axisymmetric vacuum Einstein equations in more than four dimensions. As an illustration, we study the compactified non-uniform black string phase connected to the uniform strings at the Gregory-Laflamme critical point. We compute solutions with a ratio of maximum to minimum horizon radius up to nine. For a fixed compactification radius, the mass of these solutions is larger than the mass of the classically unstable uniform strings. Thus they cannot be the end state of the instability."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0209051","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":"2026-05-18T00:37:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AeoirRRd56Gm8jFjEO6iEoI4iRkNaJ99KCvfiOZSCrtPsh0OTJ3lpQ0r86i0ycNcqds9JX+Ak2QYoTgMiTIBAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T19:47:35.857011Z"},"content_sha256":"047dfe4066967a7168ee5d8852449eb1976fbce34234123d32093d8ad6730e80","schema_version":"1.0","event_id":"sha256:047dfe4066967a7168ee5d8852449eb1976fbce34234123d32093d8ad6730e80"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FLMWQF237OBKELTQEI2I4LQ7JL/bundle.json","state_url":"https://pith.science/pith/FLMWQF237OBKELTQEI2I4LQ7JL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FLMWQF237OBKELTQEI2I4LQ7JL/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":"2026-07-04T19:47:35Z","links":{"resolver":"https://pith.science/pith/FLMWQF237OBKELTQEI2I4LQ7JL","bundle":"https://pith.science/pith/FLMWQF237OBKELTQEI2I4LQ7JL/bundle.json","state":"https://pith.science/pith/FLMWQF237OBKELTQEI2I4LQ7JL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FLMWQF237OBKELTQEI2I4LQ7JL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:FLMWQF237OBKELTQEI2I4LQ7JL","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":"8eb817d4aa5c813de70c7999cb82d6e9226f481c413401c3112fc67dc4a0afd6","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2002-09-05T20:30:05Z","title_canon_sha256":"04f4f64738e7f86c5e6f46c5549bae64b9020499fb6b25e19149eec4a275b941"},"schema_version":"1.0","source":{"id":"hep-th/0209051","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0209051","created_at":"2026-05-18T00:37:10Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0209051v2","created_at":"2026-05-18T00:37:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0209051","created_at":"2026-05-18T00:37:10Z"},{"alias_kind":"pith_short_12","alias_value":"FLMWQF237OBK","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"FLMWQF237OBKELTQ","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"FLMWQF23","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:047dfe4066967a7168ee5d8852449eb1976fbce34234123d32093d8ad6730e80","target":"graph","created_at":"2026-05-18T00:37:10Z","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 describe new numerical methods to solve the static axisymmetric vacuum Einstein equations in more than four dimensions. As an illustration, we study the compactified non-uniform black string phase connected to the uniform strings at the Gregory-Laflamme critical point. We compute solutions with a ratio of maximum to minimum horizon radius up to nine. For a fixed compactification radius, the mass of these solutions is larger than the mass of the classically unstable uniform strings. Thus they cannot be the end state of the instability.","authors_text":"T. Wiseman","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-09-05T20:30:05Z","title":"Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0209051","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:d02f62b8d1b63a725a8ad349db419232e6f74e4be91b2fb29d2624f666b9c178","target":"record","created_at":"2026-05-18T00:37:10Z","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":"8eb817d4aa5c813de70c7999cb82d6e9226f481c413401c3112fc67dc4a0afd6","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2002-09-05T20:30:05Z","title_canon_sha256":"04f4f64738e7f86c5e6f46c5549bae64b9020499fb6b25e19149eec4a275b941"},"schema_version":"1.0","source":{"id":"hep-th/0209051","kind":"arxiv","version":2}},"canonical_sha256":"2ad968175bfb82a22e7022348e2e1f4ace5b431e6951f2f5d41f675c2449bc0b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ad968175bfb82a22e7022348e2e1f4ace5b431e6951f2f5d41f675c2449bc0b","first_computed_at":"2026-05-18T00:37:10.386917Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:10.386917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zv5Tj6aaoHrLbqb8a0WbIJhSzL2AOemnsjM0fwvZUT5zFIP7F+GmLYyh4KmOemRVuHywPD2w1G9Q0UMskNo0AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:10.387523Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0209051","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d02f62b8d1b63a725a8ad349db419232e6f74e4be91b2fb29d2624f666b9c178","sha256:047dfe4066967a7168ee5d8852449eb1976fbce34234123d32093d8ad6730e80"],"state_sha256":"d471c39fbc3fb540a0e717c834f97931f32a47cab03337f448e37004f02dd1c3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TOe2uKsXUErRV3ib1eTqQctsIUkYvuNyMwVeit1trxrLOaAlOTWNBX19oTzcydoPV3fr4ZjwftfH0UfciikyDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T19:47:35.859039Z","bundle_sha256":"9197580f8ced423f3bb6d09d332300a5d5db1c55102156537e38a2a69f3a0684"}}