{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:XRDNHRDFZL2HAQHRC6NISSSFTW","short_pith_number":"pith:XRDNHRDF","schema_version":"1.0","canonical_sha256":"bc46d3c465caf47040f1179a894a459d81ff35a3ddeedb279ca837c64cf5d71b","source":{"kind":"arxiv","id":"1803.01475","version":1},"attestation_state":"computed","paper":{"title":"The Fu-Yau equation on compact astheno-K\\\"ahler manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Jianchun Chu, Liding Huang, Xiaohua Zhu","submitted_at":"2018-03-05T02:54:16Z","abstract_excerpt":"In this paper, we study the Fu-Yau equation on compact Hermitian manifolds and prove the existence of solutions of equation on astheno-K\\\"ahler manifolds. We also prove the uniqueness of solutions of Fu-Yau equation when the slope parameter $\\alpha$ is negative."},"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":"1803.01475","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-03-05T02:54:16Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"7d27e2d53083c1869797566a730c936da0cd8ec30da033816ae085204fed0e55","abstract_canon_sha256":"e7d6e9acce2f36428a485ad8b93d56c45c2ce393de69e7fa7fe8d5495d2101c7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:00.550379Z","signature_b64":"btJax3YL9iRcuh3R78zbOCVugvCoM+hAkb1s52hCFTPG2FORpf1uvHw68/hR3Sv2bFykZTc50wlG5MedXNYvCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bc46d3c465caf47040f1179a894a459d81ff35a3ddeedb279ca837c64cf5d71b","last_reissued_at":"2026-05-18T00:22:00.549794Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:00.549794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Fu-Yau equation on compact astheno-K\\\"ahler manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Jianchun Chu, Liding Huang, Xiaohua Zhu","submitted_at":"2018-03-05T02:54:16Z","abstract_excerpt":"In this paper, we study the Fu-Yau equation on compact Hermitian manifolds and prove the existence of solutions of equation on astheno-K\\\"ahler manifolds. We also prove the uniqueness of solutions of Fu-Yau equation when the slope parameter $\\alpha$ is negative."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.01475","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":"1803.01475","created_at":"2026-05-18T00:22:00.549886+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.01475v1","created_at":"2026-05-18T00:22:00.549886+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.01475","created_at":"2026-05-18T00:22:00.549886+00:00"},{"alias_kind":"pith_short_12","alias_value":"XRDNHRDFZL2H","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_16","alias_value":"XRDNHRDFZL2HAQHR","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_8","alias_value":"XRDNHRDF","created_at":"2026-05-18T12:33:01.666342+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/XRDNHRDFZL2HAQHRC6NISSSFTW","json":"https://pith.science/pith/XRDNHRDFZL2HAQHRC6NISSSFTW.json","graph_json":"https://pith.science/api/pith-number/XRDNHRDFZL2HAQHRC6NISSSFTW/graph.json","events_json":"https://pith.science/api/pith-number/XRDNHRDFZL2HAQHRC6NISSSFTW/events.json","paper":"https://pith.science/paper/XRDNHRDF"},"agent_actions":{"view_html":"https://pith.science/pith/XRDNHRDFZL2HAQHRC6NISSSFTW","download_json":"https://pith.science/pith/XRDNHRDFZL2HAQHRC6NISSSFTW.json","view_paper":"https://pith.science/paper/XRDNHRDF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.01475&json=true","fetch_graph":"https://pith.science/api/pith-number/XRDNHRDFZL2HAQHRC6NISSSFTW/graph.json","fetch_events":"https://pith.science/api/pith-number/XRDNHRDFZL2HAQHRC6NISSSFTW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XRDNHRDFZL2HAQHRC6NISSSFTW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XRDNHRDFZL2HAQHRC6NISSSFTW/action/storage_attestation","attest_author":"https://pith.science/pith/XRDNHRDFZL2HAQHRC6NISSSFTW/action/author_attestation","sign_citation":"https://pith.science/pith/XRDNHRDFZL2HAQHRC6NISSSFTW/action/citation_signature","submit_replication":"https://pith.science/pith/XRDNHRDFZL2HAQHRC6NISSSFTW/action/replication_record"}},"created_at":"2026-05-18T00:22:00.549886+00:00","updated_at":"2026-05-18T00:22:00.549886+00:00"}