{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:LSEJNU2MIALGPZSSMMM6MO6E5A","short_pith_number":"pith:LSEJNU2M","schema_version":"1.0","canonical_sha256":"5c8896d34c401667e6526319e63bc4e8343f1e8856bfe424b878226034efb498","source":{"kind":"arxiv","id":"1209.1981","version":2},"attestation_state":"computed","paper":{"title":"Stable non-uniform black strings below the critical dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Harvey S. Reall, Keiju Murata, Pau Figueras","submitted_at":"2012-09-10T13:25:57Z","abstract_excerpt":"The higher-dimensional vacuum Einstein equation admits translationally non-uniform black string solutions. It has been argued that infinitesimally non-uniform black strings should be unstable in 13 or fewer dimensions and otherwise stable. We construct numerically non-uniform black string solutions in 11, 12, 13, 14 and 15 dimensions. Their stability is investigated using local Penrose inequalities. Weakly non-uniform solutions behave as expected. However, in 12 and 13 dimensions, strongly non-uniform solutions appear to be stable and can have greater horizon area than a uniform string of the "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1209.1981","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-09-10T13:25:57Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"603fc21820cb568254342a783420aea6c320354cbad979726ef66927d1ebf97f","abstract_canon_sha256":"30a2169da3d9113e710d10f4d1ad80fece4691dcc50a0de0936e4edb97733582"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:39:43.309981Z","signature_b64":"7mdS7FIlpb126RJNFlTVnLeGKOn4JhNX8Z/HXly89mQvoorZD/Cf0iLpm3teARMZNrsUzNG8MK9MZE58ziWdCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c8896d34c401667e6526319e63bc4e8343f1e8856bfe424b878226034efb498","last_reissued_at":"2026-05-18T03:39:43.309105Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:39:43.309105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stable non-uniform black strings below the critical dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Harvey S. Reall, Keiju Murata, Pau Figueras","submitted_at":"2012-09-10T13:25:57Z","abstract_excerpt":"The higher-dimensional vacuum Einstein equation admits translationally non-uniform black string solutions. It has been argued that infinitesimally non-uniform black strings should be unstable in 13 or fewer dimensions and otherwise stable. We construct numerically non-uniform black string solutions in 11, 12, 13, 14 and 15 dimensions. Their stability is investigated using local Penrose inequalities. Weakly non-uniform solutions behave as expected. However, in 12 and 13 dimensions, strongly non-uniform solutions appear to be stable and can have greater horizon area than a uniform string of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.1981","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1209.1981","created_at":"2026-05-18T03:39:43.309210+00:00"},{"alias_kind":"arxiv_version","alias_value":"1209.1981v2","created_at":"2026-05-18T03:39:43.309210+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.1981","created_at":"2026-05-18T03:39:43.309210+00:00"},{"alias_kind":"pith_short_12","alias_value":"LSEJNU2MIALG","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"LSEJNU2MIALGPZSS","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"LSEJNU2M","created_at":"2026-05-18T12:27:14.488303+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2411.14998","citing_title":"String Theory in a Pinch: Resolving the Gregory-Laflamme Singularity","ref_index":12,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LSEJNU2MIALGPZSSMMM6MO6E5A","json":"https://pith.science/pith/LSEJNU2MIALGPZSSMMM6MO6E5A.json","graph_json":"https://pith.science/api/pith-number/LSEJNU2MIALGPZSSMMM6MO6E5A/graph.json","events_json":"https://pith.science/api/pith-number/LSEJNU2MIALGPZSSMMM6MO6E5A/events.json","paper":"https://pith.science/paper/LSEJNU2M"},"agent_actions":{"view_html":"https://pith.science/pith/LSEJNU2MIALGPZSSMMM6MO6E5A","download_json":"https://pith.science/pith/LSEJNU2MIALGPZSSMMM6MO6E5A.json","view_paper":"https://pith.science/paper/LSEJNU2M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1209.1981&json=true","fetch_graph":"https://pith.science/api/pith-number/LSEJNU2MIALGPZSSMMM6MO6E5A/graph.json","fetch_events":"https://pith.science/api/pith-number/LSEJNU2MIALGPZSSMMM6MO6E5A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LSEJNU2MIALGPZSSMMM6MO6E5A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LSEJNU2MIALGPZSSMMM6MO6E5A/action/storage_attestation","attest_author":"https://pith.science/pith/LSEJNU2MIALGPZSSMMM6MO6E5A/action/author_attestation","sign_citation":"https://pith.science/pith/LSEJNU2MIALGPZSSMMM6MO6E5A/action/citation_signature","submit_replication":"https://pith.science/pith/LSEJNU2MIALGPZSSMMM6MO6E5A/action/replication_record"}},"created_at":"2026-05-18T03:39:43.309210+00:00","updated_at":"2026-05-18T03:39:43.309210+00:00"}