{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:FLVITS6AKKIKUTRJA5Y6XUNEY6","short_pith_number":"pith:FLVITS6A","schema_version":"1.0","canonical_sha256":"2aea89cbc05290aa4e290771ebd1a4c7a40ef616c544b98938ed08bba32d53d6","source":{"kind":"arxiv","id":"2101.00380","version":3},"attestation_state":"computed","paper":{"title":"Monge-Amp\\`{e}re type equations on almost Hermitian manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Jiaogen Zhang","submitted_at":"2021-01-02T05:52:39Z","abstract_excerpt":"In this paper, we consider the Monge-Amp\\`{e}re type equations on compact almost Hermitian manifolds. We derive $C^{\\infty}$ a priori estimates under the existence of an admissible $\\mathcal{C}$-subsolution. Finally, we obtain an existence result if there exists an admissible supersolution."},"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":"2101.00380","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2021-01-02T05:52:39Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"f82b5890dea4ff83b3938c4fe5c689795f326bb428bbbbe91fecde047ff22752","abstract_canon_sha256":"1d016cfb61f327b22860b2c12421f8dd3648ab24c58ace38c466169aca6550bc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:17:07.761409Z","signature_b64":"Zh46GaDS9AbUVeSfynLFtgFi7n9GMKsjDCqoq7IEQmDdC2wpjaXNhFmokSYd0TRxBJlJWXA8iD8pMRdvLjxBAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2aea89cbc05290aa4e290771ebd1a4c7a40ef616c544b98938ed08bba32d53d6","last_reissued_at":"2026-07-05T05:17:07.760991Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:17:07.760991Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Monge-Amp\\`{e}re type equations on almost Hermitian manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Jiaogen Zhang","submitted_at":"2021-01-02T05:52:39Z","abstract_excerpt":"In this paper, we consider the Monge-Amp\\`{e}re type equations on compact almost Hermitian manifolds. We derive $C^{\\infty}$ a priori estimates under the existence of an admissible $\\mathcal{C}$-subsolution. Finally, we obtain an existence result if there exists an admissible supersolution."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.00380","kind":"arxiv","version":3},"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/2101.00380/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":"2101.00380","created_at":"2026-07-05T05:17:07.761046+00:00"},{"alias_kind":"arxiv_version","alias_value":"2101.00380v3","created_at":"2026-07-05T05:17:07.761046+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.00380","created_at":"2026-07-05T05:17:07.761046+00:00"},{"alias_kind":"pith_short_12","alias_value":"FLVITS6AKKIK","created_at":"2026-07-05T05:17:07.761046+00:00"},{"alias_kind":"pith_short_16","alias_value":"FLVITS6AKKIKUTRJ","created_at":"2026-07-05T05:17:07.761046+00:00"},{"alias_kind":"pith_short_8","alias_value":"FLVITS6A","created_at":"2026-07-05T05:17:07.761046+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.16305","citing_title":"A remark for fully non-linear elliptic equations on compact almost Hermitian manifolds","ref_index":29,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FLVITS6AKKIKUTRJA5Y6XUNEY6","json":"https://pith.science/pith/FLVITS6AKKIKUTRJA5Y6XUNEY6.json","graph_json":"https://pith.science/api/pith-number/FLVITS6AKKIKUTRJA5Y6XUNEY6/graph.json","events_json":"https://pith.science/api/pith-number/FLVITS6AKKIKUTRJA5Y6XUNEY6/events.json","paper":"https://pith.science/paper/FLVITS6A"},"agent_actions":{"view_html":"https://pith.science/pith/FLVITS6AKKIKUTRJA5Y6XUNEY6","download_json":"https://pith.science/pith/FLVITS6AKKIKUTRJA5Y6XUNEY6.json","view_paper":"https://pith.science/paper/FLVITS6A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2101.00380&json=true","fetch_graph":"https://pith.science/api/pith-number/FLVITS6AKKIKUTRJA5Y6XUNEY6/graph.json","fetch_events":"https://pith.science/api/pith-number/FLVITS6AKKIKUTRJA5Y6XUNEY6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FLVITS6AKKIKUTRJA5Y6XUNEY6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FLVITS6AKKIKUTRJA5Y6XUNEY6/action/storage_attestation","attest_author":"https://pith.science/pith/FLVITS6AKKIKUTRJA5Y6XUNEY6/action/author_attestation","sign_citation":"https://pith.science/pith/FLVITS6AKKIKUTRJA5Y6XUNEY6/action/citation_signature","submit_replication":"https://pith.science/pith/FLVITS6AKKIKUTRJA5Y6XUNEY6/action/replication_record"}},"created_at":"2026-07-05T05:17:07.761046+00:00","updated_at":"2026-07-05T05:17:07.761046+00:00"}