{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:7U6LVJYGEB6KY7MFFNBA2422OZ","short_pith_number":"pith:7U6LVJYG","schema_version":"1.0","canonical_sha256":"fd3cbaa706207cac7d852b420d735a7640dce1e5e3dab2f9cdf6faf426d46c6d","source":{"kind":"arxiv","id":"0901.1501","version":1},"attestation_state":"computed","paper":{"title":"The Calabi-Yau equation, symplectic forms and almost complex structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.DG","authors_text":"Ben Weinkove, Valentino Tosatti","submitted_at":"2009-01-12T03:55:23Z","abstract_excerpt":"We discuss a conjecture of Donaldson on a version of Yau's Theorem for symplectic forms with compatible almost complex structures and survey some recent progress on this problem. We also speculate on some future possible directions, and use a monotonicity formula for harmonic maps to obtain a new local estimate in the setting of Donaldson's conjecture."},"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":"0901.1501","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-01-12T03:55:23Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"f8d868184d7a46cc8c814c1da20d0e83fc96bb0ed1ae36a71e0ac6e2738baea0","abstract_canon_sha256":"4d4c8839958bcd3878d8ec4cccb3bc9b33a9c3bfd663871889cdce51151b8a5b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:53.467725Z","signature_b64":"V9mj+Vd3w3nKsA/znCH9OmSdLOSdFeJB7lwNnB+yR7XS8ags7nmzdFNBlo7fAb0tVVXrbgIG9Iu5tTSUwsv8Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd3cbaa706207cac7d852b420d735a7640dce1e5e3dab2f9cdf6faf426d46c6d","last_reissued_at":"2026-05-18T04:18:53.467183Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:53.467183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Calabi-Yau equation, symplectic forms and almost complex structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.DG","authors_text":"Ben Weinkove, Valentino Tosatti","submitted_at":"2009-01-12T03:55:23Z","abstract_excerpt":"We discuss a conjecture of Donaldson on a version of Yau's Theorem for symplectic forms with compatible almost complex structures and survey some recent progress on this problem. We also speculate on some future possible directions, and use a monotonicity formula for harmonic maps to obtain a new local estimate in the setting of Donaldson's conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.1501","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":"0901.1501","created_at":"2026-05-18T04:18:53.467269+00:00"},{"alias_kind":"arxiv_version","alias_value":"0901.1501v1","created_at":"2026-05-18T04:18:53.467269+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.1501","created_at":"2026-05-18T04:18:53.467269+00:00"},{"alias_kind":"pith_short_12","alias_value":"7U6LVJYGEB6K","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_16","alias_value":"7U6LVJYGEB6KY7MF","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_8","alias_value":"7U6LVJYG","created_at":"2026-05-18T12:25:58.837520+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/7U6LVJYGEB6KY7MFFNBA2422OZ","json":"https://pith.science/pith/7U6LVJYGEB6KY7MFFNBA2422OZ.json","graph_json":"https://pith.science/api/pith-number/7U6LVJYGEB6KY7MFFNBA2422OZ/graph.json","events_json":"https://pith.science/api/pith-number/7U6LVJYGEB6KY7MFFNBA2422OZ/events.json","paper":"https://pith.science/paper/7U6LVJYG"},"agent_actions":{"view_html":"https://pith.science/pith/7U6LVJYGEB6KY7MFFNBA2422OZ","download_json":"https://pith.science/pith/7U6LVJYGEB6KY7MFFNBA2422OZ.json","view_paper":"https://pith.science/paper/7U6LVJYG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0901.1501&json=true","fetch_graph":"https://pith.science/api/pith-number/7U6LVJYGEB6KY7MFFNBA2422OZ/graph.json","fetch_events":"https://pith.science/api/pith-number/7U6LVJYGEB6KY7MFFNBA2422OZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7U6LVJYGEB6KY7MFFNBA2422OZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7U6LVJYGEB6KY7MFFNBA2422OZ/action/storage_attestation","attest_author":"https://pith.science/pith/7U6LVJYGEB6KY7MFFNBA2422OZ/action/author_attestation","sign_citation":"https://pith.science/pith/7U6LVJYGEB6KY7MFFNBA2422OZ/action/citation_signature","submit_replication":"https://pith.science/pith/7U6LVJYGEB6KY7MFFNBA2422OZ/action/replication_record"}},"created_at":"2026-05-18T04:18:53.467269+00:00","updated_at":"2026-05-18T04:18:53.467269+00:00"}