{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:M6RV4QEIPPXN6ATTABCHWAWBPS","short_pith_number":"pith:M6RV4QEI","schema_version":"1.0","canonical_sha256":"67a35e40887beedf027300447b02c17c8ba3492344dd14df3ab8927c0899f24f","source":{"kind":"arxiv","id":"1311.6749","version":2},"attestation_state":"computed","paper":{"title":"On the stability of Einstein manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Klaus Kroencke","submitted_at":"2013-11-26T17:43:37Z","abstract_excerpt":"Certain curvature conditions for stability of Einstein manifolds with respect to the Einstein-Hilbert action are given. These conditions are given in terms of quantities involving the Weyl tensor and the Bochner tensor. In dimension six, a stability criterion involving the Euler characteristic is given."},"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":"1311.6749","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-26T17:43:37Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"043374c943d541fe5542b48d6aa018719722a6df1657d0a3993ebf8123250ab1","abstract_canon_sha256":"3d52047cfda435bbc638f63012db5b4f07f7e137ebed885147cf95f0d8fc04b7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:57.474787Z","signature_b64":"h5NWj8nokLh1W9m8zcmrvF94J1+BpTS38HMiKBZ3F8wJGN46XzFQXdTX1KLQi9T9WxAVmvmS3RJfop35YB5lCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67a35e40887beedf027300447b02c17c8ba3492344dd14df3ab8927c0899f24f","last_reissued_at":"2026-05-18T01:35:57.474229Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:57.474229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the stability of Einstein manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Klaus Kroencke","submitted_at":"2013-11-26T17:43:37Z","abstract_excerpt":"Certain curvature conditions for stability of Einstein manifolds with respect to the Einstein-Hilbert action are given. These conditions are given in terms of quantities involving the Weyl tensor and the Bochner tensor. In dimension six, a stability criterion involving the Euler characteristic is given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6749","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":"1311.6749","created_at":"2026-05-18T01:35:57.474312+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.6749v2","created_at":"2026-05-18T01:35:57.474312+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6749","created_at":"2026-05-18T01:35:57.474312+00:00"},{"alias_kind":"pith_short_12","alias_value":"M6RV4QEIPPXN","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"M6RV4QEIPPXN6ATT","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"M6RV4QEI","created_at":"2026-05-18T12:27:51.066281+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/M6RV4QEIPPXN6ATTABCHWAWBPS","json":"https://pith.science/pith/M6RV4QEIPPXN6ATTABCHWAWBPS.json","graph_json":"https://pith.science/api/pith-number/M6RV4QEIPPXN6ATTABCHWAWBPS/graph.json","events_json":"https://pith.science/api/pith-number/M6RV4QEIPPXN6ATTABCHWAWBPS/events.json","paper":"https://pith.science/paper/M6RV4QEI"},"agent_actions":{"view_html":"https://pith.science/pith/M6RV4QEIPPXN6ATTABCHWAWBPS","download_json":"https://pith.science/pith/M6RV4QEIPPXN6ATTABCHWAWBPS.json","view_paper":"https://pith.science/paper/M6RV4QEI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.6749&json=true","fetch_graph":"https://pith.science/api/pith-number/M6RV4QEIPPXN6ATTABCHWAWBPS/graph.json","fetch_events":"https://pith.science/api/pith-number/M6RV4QEIPPXN6ATTABCHWAWBPS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M6RV4QEIPPXN6ATTABCHWAWBPS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M6RV4QEIPPXN6ATTABCHWAWBPS/action/storage_attestation","attest_author":"https://pith.science/pith/M6RV4QEIPPXN6ATTABCHWAWBPS/action/author_attestation","sign_citation":"https://pith.science/pith/M6RV4QEIPPXN6ATTABCHWAWBPS/action/citation_signature","submit_replication":"https://pith.science/pith/M6RV4QEIPPXN6ATTABCHWAWBPS/action/replication_record"}},"created_at":"2026-05-18T01:35:57.474312+00:00","updated_at":"2026-05-18T01:35:57.474312+00:00"}