{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:USGPVSZWVYV3A6UU43FBUHD7UQ","short_pith_number":"pith:USGPVSZW","schema_version":"1.0","canonical_sha256":"a48cfacb36ae2bb07a94e6ca1a1c7fa404a8d0719fbdce8cfc6bfaee3e3abd4e","source":{"kind":"arxiv","id":"1503.05173","version":1},"attestation_state":"computed","paper":{"title":"The Ding functional, Berndtsson convexity and moment maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Simon Donaldson","submitted_at":"2015-03-17T19:16:46Z","abstract_excerpt":"We explain how the formal aspects of the theory of Kahler-Einstein metrics can be developed in the framework of moment maps. The central result we use is the Berndtsson convexity theorem, which is interpreted as defining a metric on the space of complex structures. We discuss some applications of these ideas to the Kahler-Ricci flow."},"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":"1503.05173","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-03-17T19:16:46Z","cross_cats_sorted":[],"title_canon_sha256":"50651adec18522fdd5d81a3568af78bcd0831f6b5e082870c44a7e942b3ca657","abstract_canon_sha256":"ebec8548c1f8200c9e48445bc29f3e5e8a3f3863eae16abf79e04b483556b71e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:22:20.106567Z","signature_b64":"dwlYNXQdO7Hl0VE1D0vzs/vwEeX/QALSMghav0prq75s1/ZIlmgEPvD5n6uon8O1hzY8qZp+fdMUUe569d/aDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a48cfacb36ae2bb07a94e6ca1a1c7fa404a8d0719fbdce8cfc6bfaee3e3abd4e","last_reissued_at":"2026-05-18T02:22:20.105783Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:22:20.105783Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Ding functional, Berndtsson convexity and moment maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Simon Donaldson","submitted_at":"2015-03-17T19:16:46Z","abstract_excerpt":"We explain how the formal aspects of the theory of Kahler-Einstein metrics can be developed in the framework of moment maps. The central result we use is the Berndtsson convexity theorem, which is interpreted as defining a metric on the space of complex structures. We discuss some applications of these ideas to the Kahler-Ricci flow."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05173","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":"1503.05173","created_at":"2026-05-18T02:22:20.105892+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.05173v1","created_at":"2026-05-18T02:22:20.105892+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05173","created_at":"2026-05-18T02:22:20.105892+00:00"},{"alias_kind":"pith_short_12","alias_value":"USGPVSZWVYV3","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_16","alias_value":"USGPVSZWVYV3A6UU","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_8","alias_value":"USGPVSZW","created_at":"2026-05-18T12:29:44.643036+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/USGPVSZWVYV3A6UU43FBUHD7UQ","json":"https://pith.science/pith/USGPVSZWVYV3A6UU43FBUHD7UQ.json","graph_json":"https://pith.science/api/pith-number/USGPVSZWVYV3A6UU43FBUHD7UQ/graph.json","events_json":"https://pith.science/api/pith-number/USGPVSZWVYV3A6UU43FBUHD7UQ/events.json","paper":"https://pith.science/paper/USGPVSZW"},"agent_actions":{"view_html":"https://pith.science/pith/USGPVSZWVYV3A6UU43FBUHD7UQ","download_json":"https://pith.science/pith/USGPVSZWVYV3A6UU43FBUHD7UQ.json","view_paper":"https://pith.science/paper/USGPVSZW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.05173&json=true","fetch_graph":"https://pith.science/api/pith-number/USGPVSZWVYV3A6UU43FBUHD7UQ/graph.json","fetch_events":"https://pith.science/api/pith-number/USGPVSZWVYV3A6UU43FBUHD7UQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/USGPVSZWVYV3A6UU43FBUHD7UQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/USGPVSZWVYV3A6UU43FBUHD7UQ/action/storage_attestation","attest_author":"https://pith.science/pith/USGPVSZWVYV3A6UU43FBUHD7UQ/action/author_attestation","sign_citation":"https://pith.science/pith/USGPVSZWVYV3A6UU43FBUHD7UQ/action/citation_signature","submit_replication":"https://pith.science/pith/USGPVSZWVYV3A6UU43FBUHD7UQ/action/replication_record"}},"created_at":"2026-05-18T02:22:20.105892+00:00","updated_at":"2026-05-18T02:22:20.105892+00:00"}