{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ELU5OY3TD7B2W4EPG5BQ765M7M","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ec1ac96eb79b40ff59f46c2d92498911b3ad9728b670451e55b80882298061c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-04-28T14:16:34Z","title_canon_sha256":"802e7cfdce4828fb38c57b48860a75267681b3663638a33634012375731d3bd5"},"schema_version":"1.0","source":{"id":"1404.6992","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6992","created_at":"2026-05-18T02:53:05Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6992v1","created_at":"2026-05-18T02:53:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6992","created_at":"2026-05-18T02:53:05Z"},{"alias_kind":"pith_short_12","alias_value":"ELU5OY3TD7B2","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"ELU5OY3TD7B2W4EP","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"ELU5OY3T","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:992c111ead60948d6207453b8e5ee245e01e0ec4802b845d74595f3e72ed5c99","target":"graph","created_at":"2026-05-18T02:53:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We solve the modified Kazdan-Warner problem of finding metrics with prescribed scalar curvature and unit total volume.","authors_text":"Shinichiroh Matsuo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-04-28T14:16:34Z","title":"The prescribed scalar curvature problem for metrics with unit total volume"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6992","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:574e3f052b4289dd5b9341f0e9e52ba524e7ddda3598c408f09779a7445428d1","target":"record","created_at":"2026-05-18T02:53:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ec1ac96eb79b40ff59f46c2d92498911b3ad9728b670451e55b80882298061c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-04-28T14:16:34Z","title_canon_sha256":"802e7cfdce4828fb38c57b48860a75267681b3663638a33634012375731d3bd5"},"schema_version":"1.0","source":{"id":"1404.6992","kind":"arxiv","version":1}},"canonical_sha256":"22e9d763731fc3ab708f37430ffbacfb3224f81172c4ed2b6319d0e0ca16a30d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22e9d763731fc3ab708f37430ffbacfb3224f81172c4ed2b6319d0e0ca16a30d","first_computed_at":"2026-05-18T02:53:05.367822Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:05.367822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rLUUl1MBcbAPkNwFLuYdCvaEBVDw97k2+dpAqJk6KJ0d+AZlEC4oUMphubYBJXm1hZuMVcld2pmO+OHkv4GfBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:05.368209Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.6992","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:574e3f052b4289dd5b9341f0e9e52ba524e7ddda3598c408f09779a7445428d1","sha256:992c111ead60948d6207453b8e5ee245e01e0ec4802b845d74595f3e72ed5c99"],"state_sha256":"30a1f14abf2be0a2838ee99bec37d68e283f89321407eadf9a8ccc1d3dc86718"}