{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:VDXO7655OD6SLU2S6GSWWABLUP","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":"46f981519b7a1c9d421d79fe5ae6d6e34c49df95d66dbe5ff675d6d56972327f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-19T12:50:07Z","title_canon_sha256":"b1964ad20e82c9fea301e928a1fca3d5c5a69e6bb9474005dd7f4a9ea1ab9c11"},"schema_version":"1.0","source":{"id":"1908.06766","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.06766","created_at":"2026-07-05T10:15:39Z"},{"alias_kind":"arxiv_version","alias_value":"1908.06766v4","created_at":"2026-07-05T10:15:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.06766","created_at":"2026-07-05T10:15:39Z"},{"alias_kind":"pith_short_12","alias_value":"VDXO7655OD6S","created_at":"2026-07-05T10:15:39Z"},{"alias_kind":"pith_short_16","alias_value":"VDXO7655OD6SLU2S","created_at":"2026-07-05T10:15:39Z"},{"alias_kind":"pith_short_8","alias_value":"VDXO7655","created_at":"2026-07-05T10:15:39Z"}],"graph_snapshots":[{"event_id":"sha256:cbc0c58d76825181ca703a385ff5a54395f2f7e91d5e3d2f6d5c5ab9da07a948","target":"graph","created_at":"2026-07-05T10:15:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.06766/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present an elementary way of recovering a well-known criterion of K-stability for Fano reductive group compactifications.","authors_text":"Gabriella Clemente","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-19T12:50:07Z","title":"A technical remark on the Donaldson-Futaki invariant for Fano reductive group compactifications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.06766","kind":"arxiv","version":4},"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":"sha256:9a120afcffff97a67b088b7df7d9fa20472f05cd5770453dc6ec3c1c0a4cf318","target":"record","created_at":"2026-07-05T10:15:39Z","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":"46f981519b7a1c9d421d79fe5ae6d6e34c49df95d66dbe5ff675d6d56972327f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-19T12:50:07Z","title_canon_sha256":"b1964ad20e82c9fea301e928a1fca3d5c5a69e6bb9474005dd7f4a9ea1ab9c11"},"schema_version":"1.0","source":{"id":"1908.06766","kind":"arxiv","version":4}},"canonical_sha256":"a8eeeffbbd70fd25d352f1a56b002ba3eb1111b3d856ec6f3e91c02dcccd77b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8eeeffbbd70fd25d352f1a56b002ba3eb1111b3d856ec6f3e91c02dcccd77b3","first_computed_at":"2026-07-05T10:15:39.969141Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:15:39.969141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ek+n0lAxWXRfA1S0P72Ze01jwYjLf0YZesV+vXDxwv6OAucG40cKMLJAhcEww7v8P4o6uZ5SmxYcdYqga6ttDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:15:39.969695Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.06766","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a120afcffff97a67b088b7df7d9fa20472f05cd5770453dc6ec3c1c0a4cf318","sha256:cbc0c58d76825181ca703a385ff5a54395f2f7e91d5e3d2f6d5c5ab9da07a948"],"state_sha256":"44ca62ca3481bc8a5ac9a2a17abd8390a07dd9cef878277191f231be03b84894"}