{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:KPAVIDX2USZYB7BTZNIH7DMJ42","short_pith_number":"pith:KPAVIDX2","schema_version":"1.0","canonical_sha256":"53c1540efaa4b380fc33cb507f8d89e6b93171cacebf8da092e822e9c529573e","source":{"kind":"arxiv","id":"1205.3043","version":2},"attestation_state":"computed","paper":{"title":"Stability analysis of the Witten black hole (cigar soliton) under world-sheet RG flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Carolyn Lambert, Vardarajan Suneeta","submitted_at":"2012-05-14T14:40:56Z","abstract_excerpt":"We analyze the stability of the Euclidean Witten black hole (the cigar soliton in mathematics literature) under first-order RG (Ricci) flow of the world-sheet sigma model. This analysis is from the target space point of view. We find that the Witten black hole has no unstable normalizable perturbative modes in a linearized mode analysis in which we consider circularly symmetric perturbations. Finally, we discuss a result from mathematics that implies the existence of a non-normalizable mode of the Witten black hole under which the geometry flows to the sausage solution studied by Fateev, Onofr"},"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":"1205.3043","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-14T14:40:56Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"48bc1d7efb1c5e7f9186a3fa7e68395ec2e4977e9ad1db11de43dc0c6afacc0a","abstract_canon_sha256":"684da86f682b02a311b76470645f0fed8c65d0af0cb8fd9010a9a2ab1c39ec6e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:41.201525Z","signature_b64":"dXkzrVsmPOM28WFXT8yNSr9sdcoyG4b9ZzJBtlmGfCDQk1O/O+LhOilXczQBRBtxNFrBXt0iMcrZcpXV0qIYCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53c1540efaa4b380fc33cb507f8d89e6b93171cacebf8da092e822e9c529573e","last_reissued_at":"2026-05-18T03:22:41.200695Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:41.200695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stability analysis of the Witten black hole (cigar soliton) under world-sheet RG flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Carolyn Lambert, Vardarajan Suneeta","submitted_at":"2012-05-14T14:40:56Z","abstract_excerpt":"We analyze the stability of the Euclidean Witten black hole (the cigar soliton in mathematics literature) under first-order RG (Ricci) flow of the world-sheet sigma model. This analysis is from the target space point of view. We find that the Witten black hole has no unstable normalizable perturbative modes in a linearized mode analysis in which we consider circularly symmetric perturbations. Finally, we discuss a result from mathematics that implies the existence of a non-normalizable mode of the Witten black hole under which the geometry flows to the sausage solution studied by Fateev, Onofr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3043","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":"1205.3043","created_at":"2026-05-18T03:22:41.200828+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.3043v2","created_at":"2026-05-18T03:22:41.200828+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3043","created_at":"2026-05-18T03:22:41.200828+00:00"},{"alias_kind":"pith_short_12","alias_value":"KPAVIDX2USZY","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"KPAVIDX2USZYB7BT","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"KPAVIDX2","created_at":"2026-05-18T12:27:11.947152+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KPAVIDX2USZYB7BTZNIH7DMJ42","json":"https://pith.science/pith/KPAVIDX2USZYB7BTZNIH7DMJ42.json","graph_json":"https://pith.science/api/pith-number/KPAVIDX2USZYB7BTZNIH7DMJ42/graph.json","events_json":"https://pith.science/api/pith-number/KPAVIDX2USZYB7BTZNIH7DMJ42/events.json","paper":"https://pith.science/paper/KPAVIDX2"},"agent_actions":{"view_html":"https://pith.science/pith/KPAVIDX2USZYB7BTZNIH7DMJ42","download_json":"https://pith.science/pith/KPAVIDX2USZYB7BTZNIH7DMJ42.json","view_paper":"https://pith.science/paper/KPAVIDX2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.3043&json=true","fetch_graph":"https://pith.science/api/pith-number/KPAVIDX2USZYB7BTZNIH7DMJ42/graph.json","fetch_events":"https://pith.science/api/pith-number/KPAVIDX2USZYB7BTZNIH7DMJ42/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KPAVIDX2USZYB7BTZNIH7DMJ42/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KPAVIDX2USZYB7BTZNIH7DMJ42/action/storage_attestation","attest_author":"https://pith.science/pith/KPAVIDX2USZYB7BTZNIH7DMJ42/action/author_attestation","sign_citation":"https://pith.science/pith/KPAVIDX2USZYB7BTZNIH7DMJ42/action/citation_signature","submit_replication":"https://pith.science/pith/KPAVIDX2USZYB7BTZNIH7DMJ42/action/replication_record"}},"created_at":"2026-05-18T03:22:41.200828+00:00","updated_at":"2026-05-18T03:22:41.200828+00:00"}