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We end the paper by showing, by means of the Simanca metric, that the assumption of Ricci-flatness in"},"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":"1705.03908","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-10T18:16:16Z","cross_cats_sorted":[],"title_canon_sha256":"b09d4f9e36f50228639953506e4e5c9880cf24f183c409913b61f056a1e5c5ea","abstract_canon_sha256":"713fc975d36690b69c8681e4ad1623be785951de309d8e2661823e8f426e2c86"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:46.670045Z","signature_b64":"g/bQ3FF35UlL26hcnZJMeuG1wDtJd8azx+IJ5I8JAePczSMzlETf+cwtnickTzMR7s2CyQAu1ZyVU796MzW/Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3cd8b0518fdf13fb44a9728544c9b1b793a2d5a99de8b28e798e6fd0601a9f74","last_reissued_at":"2026-05-18T00:27:46.669579Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:46.669579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two conjectures on Ricci-flat Kaehler metrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Andrea Loi, Fabio Zuddas, Filippo Salis","submitted_at":"2017-05-10T18:16:16Z","abstract_excerpt":"We propose two conjectures about Ricci-flat metrics:\n  Conjecture 1: A Ricci-flat projectively induced metric is flat.\n  Conjecture 2: A Ricci-flat metric on an $n$-dimensional complex manifold such that the $a_{n+1}$ coefficient of the TYZ expansion vanishes is flat.\n  We verify Conjecture 1 (see Theorem 1.1) under the assumptions that the metric is radial and stable-projectively induced and Conjecture 2 (see Theorem 1.2) for complex surfaces whose metric is either radial or complete and ALE. We end the paper by showing, by means of the Simanca metric, that the assumption of Ricci-flatness in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.03908","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":"1705.03908","created_at":"2026-05-18T00:27:46.669646+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.03908v2","created_at":"2026-05-18T00:27:46.669646+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.03908","created_at":"2026-05-18T00:27:46.669646+00:00"},{"alias_kind":"pith_short_12","alias_value":"HTMLAUMP34J7","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_16","alias_value":"HTMLAUMP34J7WRFJ","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_8","alias_value":"HTMLAUMP","created_at":"2026-05-18T12:31:18.294218+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/HTMLAUMP34J7WRFJOKCUJSNRW6","json":"https://pith.science/pith/HTMLAUMP34J7WRFJOKCUJSNRW6.json","graph_json":"https://pith.science/api/pith-number/HTMLAUMP34J7WRFJOKCUJSNRW6/graph.json","events_json":"https://pith.science/api/pith-number/HTMLAUMP34J7WRFJOKCUJSNRW6/events.json","paper":"https://pith.science/paper/HTMLAUMP"},"agent_actions":{"view_html":"https://pith.science/pith/HTMLAUMP34J7WRFJOKCUJSNRW6","download_json":"https://pith.science/pith/HTMLAUMP34J7WRFJOKCUJSNRW6.json","view_paper":"https://pith.science/paper/HTMLAUMP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.03908&json=true","fetch_graph":"https://pith.science/api/pith-number/HTMLAUMP34J7WRFJOKCUJSNRW6/graph.json","fetch_events":"https://pith.science/api/pith-number/HTMLAUMP34J7WRFJOKCUJSNRW6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HTMLAUMP34J7WRFJOKCUJSNRW6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HTMLAUMP34J7WRFJOKCUJSNRW6/action/storage_attestation","attest_author":"https://pith.science/pith/HTMLAUMP34J7WRFJOKCUJSNRW6/action/author_attestation","sign_citation":"https://pith.science/pith/HTMLAUMP34J7WRFJOKCUJSNRW6/action/citation_signature","submit_replication":"https://pith.science/pith/HTMLAUMP34J7WRFJOKCUJSNRW6/action/replication_record"}},"created_at":"2026-05-18T00:27:46.669646+00:00","updated_at":"2026-05-18T00:27:46.669646+00:00"}