{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:3YW7AEUZETFGEW2N57PPDZZUT2","short_pith_number":"pith:3YW7AEUZ","schema_version":"1.0","canonical_sha256":"de2df0129924ca625b4defdef1e7349ea31bafa4068a40c28d1567bd86439490","source":{"kind":"arxiv","id":"2110.00490","version":1},"attestation_state":"computed","paper":{"title":"Fully nonlinear elliptic equations on Hermitian manifolds for symmetric functions of partial Laplacians","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["math.CV","math.DG"],"primary_cat":"math.AP","authors_text":"Bo Guan, Chunhui Qiu, Mathew George","submitted_at":"2021-10-01T15:43:25Z","abstract_excerpt":"We consider a class of fully nonlinear second order elliptic equations on Hermitian manifolds closely related to the general notion of $\\bfG$-plurisubharmonicity of Harvey-Lawson and an equation treated by Sz\\'ekelyhidi-Tosatti-Weinkove in the proof of Gauduchon conjecture. Under fairly general assumptions we derive interior estimates and establish the existence of smooth solutions for the Dirichlet problem as well as for equations on closed manifolds."},"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":"2110.00490","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AP","submitted_at":"2021-10-01T15:43:25Z","cross_cats_sorted":["math.CV","math.DG"],"title_canon_sha256":"9ef603b8bb5a71d12e84d188350711fcef093ac87efe3bc62ea35bc2490e0cbb","abstract_canon_sha256":"8069a2907b62419a9527486ddce20a9ca2ead24dcede2ef26d801774a037cbc1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:19:29.921702Z","signature_b64":"FsXJN88gOUhnhKQ0ABA2tVCu4zz/XqIu05sfpmpwubQn1+3Y5aO9703rJ0YydOZFcilYucBjSPcc1fdKnNQnBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de2df0129924ca625b4defdef1e7349ea31bafa4068a40c28d1567bd86439490","last_reissued_at":"2026-07-05T03:19:29.921362Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:19:29.921362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fully nonlinear elliptic equations on Hermitian manifolds for symmetric functions of partial Laplacians","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["math.CV","math.DG"],"primary_cat":"math.AP","authors_text":"Bo Guan, Chunhui Qiu, Mathew George","submitted_at":"2021-10-01T15:43:25Z","abstract_excerpt":"We consider a class of fully nonlinear second order elliptic equations on Hermitian manifolds closely related to the general notion of $\\bfG$-plurisubharmonicity of Harvey-Lawson and an equation treated by Sz\\'ekelyhidi-Tosatti-Weinkove in the proof of Gauduchon conjecture. Under fairly general assumptions we derive interior estimates and establish the existence of smooth solutions for the Dirichlet problem as well as for equations on closed manifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.00490","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2110.00490/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2110.00490","created_at":"2026-07-05T03:19:29.921417+00:00"},{"alias_kind":"arxiv_version","alias_value":"2110.00490v1","created_at":"2026-07-05T03:19:29.921417+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.00490","created_at":"2026-07-05T03:19:29.921417+00:00"},{"alias_kind":"pith_short_12","alias_value":"3YW7AEUZETFG","created_at":"2026-07-05T03:19:29.921417+00:00"},{"alias_kind":"pith_short_16","alias_value":"3YW7AEUZETFGEW2N","created_at":"2026-07-05T03:19:29.921417+00:00"},{"alias_kind":"pith_short_8","alias_value":"3YW7AEUZ","created_at":"2026-07-05T03:19:29.921417+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2607.02475","citing_title":"Regularity of a Geodesic equation in the space of mixed Volume Forms on Hermitian Manifolds","ref_index":36,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3YW7AEUZETFGEW2N57PPDZZUT2","json":"https://pith.science/pith/3YW7AEUZETFGEW2N57PPDZZUT2.json","graph_json":"https://pith.science/api/pith-number/3YW7AEUZETFGEW2N57PPDZZUT2/graph.json","events_json":"https://pith.science/api/pith-number/3YW7AEUZETFGEW2N57PPDZZUT2/events.json","paper":"https://pith.science/paper/3YW7AEUZ"},"agent_actions":{"view_html":"https://pith.science/pith/3YW7AEUZETFGEW2N57PPDZZUT2","download_json":"https://pith.science/pith/3YW7AEUZETFGEW2N57PPDZZUT2.json","view_paper":"https://pith.science/paper/3YW7AEUZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2110.00490&json=true","fetch_graph":"https://pith.science/api/pith-number/3YW7AEUZETFGEW2N57PPDZZUT2/graph.json","fetch_events":"https://pith.science/api/pith-number/3YW7AEUZETFGEW2N57PPDZZUT2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3YW7AEUZETFGEW2N57PPDZZUT2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3YW7AEUZETFGEW2N57PPDZZUT2/action/storage_attestation","attest_author":"https://pith.science/pith/3YW7AEUZETFGEW2N57PPDZZUT2/action/author_attestation","sign_citation":"https://pith.science/pith/3YW7AEUZETFGEW2N57PPDZZUT2/action/citation_signature","submit_replication":"https://pith.science/pith/3YW7AEUZETFGEW2N57PPDZZUT2/action/replication_record"}},"created_at":"2026-07-05T03:19:29.921417+00:00","updated_at":"2026-07-05T03:19:29.921417+00:00"}