{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:4TQCDNFUVPJU7T7I6H6MRCIBWB","short_pith_number":"pith:4TQCDNFU","schema_version":"1.0","canonical_sha256":"e4e021b4b4abd34fcfe8f1fcc88901b05f1eab53737b5b148d3c2c2e2779fc79","source":{"kind":"arxiv","id":"1111.4981","version":1},"attestation_state":"computed","paper":{"title":"The stability inequality for Ricci-flat cones","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Michael Siepmann, Robert Haslhofer, Stuart Hall","submitted_at":"2011-11-21T19:36:01Z","abstract_excerpt":"In this article, we thoroughly investigate the stability inequality for Ricci-flat cones. Perhaps most importantly, we prove that the Ricci-flat cone over CP^2 is stable, showing that the first stable non-flat Ricci-flat cone occurs in the smallest possible dimension. On the other hand, we prove that many other examples of Ricci-flat cones over 4-manifolds are unstable, and that Ricci-flat cones over products of Einstein manifolds and over Kahler-Einstein manifolds with h^(1,1)>1 are unstable in dimension less than 10. As results of independent interest, our computations indicate that the Page"},"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":"1111.4981","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-11-21T19:36:01Z","cross_cats_sorted":[],"title_canon_sha256":"c4a69e2df7651bf2c748f72708bd72b9f64baab0aa920c223568e0411a38abf7","abstract_canon_sha256":"88e907a17b086c0d2d340454cfefa661c8119c87ef3101de301e8886800891f4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:07:54.595977Z","signature_b64":"BtyDZgpjwMfLYJxj+jED2KEx6Lc/LLmXy0WuSPiFLXIzdls/eLTned1wCDyJ7X3bQ3sunNVnjxCuBm3S+yUhBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4e021b4b4abd34fcfe8f1fcc88901b05f1eab53737b5b148d3c2c2e2779fc79","last_reissued_at":"2026-05-18T04:07:54.595222Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:07:54.595222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The stability inequality for Ricci-flat cones","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Michael Siepmann, Robert Haslhofer, Stuart Hall","submitted_at":"2011-11-21T19:36:01Z","abstract_excerpt":"In this article, we thoroughly investigate the stability inequality for Ricci-flat cones. Perhaps most importantly, we prove that the Ricci-flat cone over CP^2 is stable, showing that the first stable non-flat Ricci-flat cone occurs in the smallest possible dimension. On the other hand, we prove that many other examples of Ricci-flat cones over 4-manifolds are unstable, and that Ricci-flat cones over products of Einstein manifolds and over Kahler-Einstein manifolds with h^(1,1)>1 are unstable in dimension less than 10. As results of independent interest, our computations indicate that the Page"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4981","kind":"arxiv","version":1},"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":"1111.4981","created_at":"2026-05-18T04:07:54.595351+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.4981v1","created_at":"2026-05-18T04:07:54.595351+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4981","created_at":"2026-05-18T04:07:54.595351+00:00"},{"alias_kind":"pith_short_12","alias_value":"4TQCDNFUVPJU","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"4TQCDNFUVPJU7T7I","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"4TQCDNFU","created_at":"2026-05-18T12:26:20.644004+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/4TQCDNFUVPJU7T7I6H6MRCIBWB","json":"https://pith.science/pith/4TQCDNFUVPJU7T7I6H6MRCIBWB.json","graph_json":"https://pith.science/api/pith-number/4TQCDNFUVPJU7T7I6H6MRCIBWB/graph.json","events_json":"https://pith.science/api/pith-number/4TQCDNFUVPJU7T7I6H6MRCIBWB/events.json","paper":"https://pith.science/paper/4TQCDNFU"},"agent_actions":{"view_html":"https://pith.science/pith/4TQCDNFUVPJU7T7I6H6MRCIBWB","download_json":"https://pith.science/pith/4TQCDNFUVPJU7T7I6H6MRCIBWB.json","view_paper":"https://pith.science/paper/4TQCDNFU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.4981&json=true","fetch_graph":"https://pith.science/api/pith-number/4TQCDNFUVPJU7T7I6H6MRCIBWB/graph.json","fetch_events":"https://pith.science/api/pith-number/4TQCDNFUVPJU7T7I6H6MRCIBWB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4TQCDNFUVPJU7T7I6H6MRCIBWB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4TQCDNFUVPJU7T7I6H6MRCIBWB/action/storage_attestation","attest_author":"https://pith.science/pith/4TQCDNFUVPJU7T7I6H6MRCIBWB/action/author_attestation","sign_citation":"https://pith.science/pith/4TQCDNFUVPJU7T7I6H6MRCIBWB/action/citation_signature","submit_replication":"https://pith.science/pith/4TQCDNFUVPJU7T7I6H6MRCIBWB/action/replication_record"}},"created_at":"2026-05-18T04:07:54.595351+00:00","updated_at":"2026-05-18T04:07:54.595351+00:00"}