{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:CII2Q443FZMN6SGVQGGR7WEUYW","short_pith_number":"pith:CII2Q443","canonical_record":{"source":{"id":"2504.15195","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-04-21T16:07:21Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"f9e11e52e3ad9df0f4e62c9a86bc75f01377a323701e78e49f93e2117c266a95","abstract_canon_sha256":"00676a74ebd196a4705e57a014420eb2956b98f7d3c1a1bbf3ee862abea31823"},"schema_version":"1.0"},"canonical_sha256":"1211a8739b2e58df48d5818d1fd894c5a7389ecc9b6424b4925d58b9fee16975","source":{"kind":"arxiv","id":"2504.15195","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.15195","created_at":"2026-06-04T01:09:37Z"},{"alias_kind":"arxiv_version","alias_value":"2504.15195v2","created_at":"2026-06-04T01:09:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.15195","created_at":"2026-06-04T01:09:37Z"},{"alias_kind":"pith_short_12","alias_value":"CII2Q443FZMN","created_at":"2026-06-04T01:09:37Z"},{"alias_kind":"pith_short_16","alias_value":"CII2Q443FZMN6SGV","created_at":"2026-06-04T01:09:37Z"},{"alias_kind":"pith_short_8","alias_value":"CII2Q443","created_at":"2026-06-04T01:09:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:CII2Q443FZMN6SGVQGGR7WEUYW","target":"record","payload":{"canonical_record":{"source":{"id":"2504.15195","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-04-21T16:07:21Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"f9e11e52e3ad9df0f4e62c9a86bc75f01377a323701e78e49f93e2117c266a95","abstract_canon_sha256":"00676a74ebd196a4705e57a014420eb2956b98f7d3c1a1bbf3ee862abea31823"},"schema_version":"1.0"},"canonical_sha256":"1211a8739b2e58df48d5818d1fd894c5a7389ecc9b6424b4925d58b9fee16975","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T01:09:37.523416Z","signature_b64":"iA+0a+i13+AQ6lZSRedp8k2ziZ+uE8HOhQz3h4dNAvOfJQdSX+BjvDAJLTLGFrv9syuo36JaVIudtWnf2dC5CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1211a8739b2e58df48d5818d1fd894c5a7389ecc9b6424b4925d58b9fee16975","last_reissued_at":"2026-06-04T01:09:37.522873Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T01:09:37.522873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.15195","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-04T01:09:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ydz38IF+8gLZTkCp0IldrPuletxtjY8+ILlqPSz3Dynr+izmPZPfg5MjagFcpOk5g50RQ9+cD7BYldPqD4LmBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T10:52:05.188702Z"},"content_sha256":"ab83b39fc10190dbac3efb587b159cbac934b7a18e411abd0697709e0c2e5a7e","schema_version":"1.0","event_id":"sha256:ab83b39fc10190dbac3efb587b159cbac934b7a18e411abd0697709e0c2e5a7e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:CII2Q443FZMN6SGVQGGR7WEUYW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The constant scalar curvature K\\\"ahler condition is very general","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Ruadha\\'i Dervan","submitted_at":"2025-04-21T16:07:21Z","abstract_excerpt":"Recent work of Trusiani implies that the existence of a constant scalar curvature K\\\"ahler metric on a smooth polarised variety with discrete automorphism group is equivalent to uniform arc K-stability. We prove that uniform arc K-stability is essentially algebraic in flat families of polarised varieties. When the polarised varieties are further smooth and have discrete automorphism group, combining these two results implies that the constant scalar curvature K\\\"ahler locus is very general.\n  We use this result to give the first examples of constant scalar curvature K\\\"ahler metrics whose exis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.15195","kind":"arxiv","version":2},"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/2504.15195/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-04T01:09:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"344gd4EqOC7Rt9trW6jdRD79eB4WmK9ulKDauZ1FF893sOv7U2M5pjDlgiPVjnh+vMfukLLOjhkhn3PABT4bCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T10:52:05.189089Z"},"content_sha256":"a5fb052d87793a30187830f06f564d9920c4ac5c4d00969ebf6f34fe98c1078e","schema_version":"1.0","event_id":"sha256:a5fb052d87793a30187830f06f564d9920c4ac5c4d00969ebf6f34fe98c1078e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CII2Q443FZMN6SGVQGGR7WEUYW/bundle.json","state_url":"https://pith.science/pith/CII2Q443FZMN6SGVQGGR7WEUYW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CII2Q443FZMN6SGVQGGR7WEUYW/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-25T10:52:05Z","links":{"resolver":"https://pith.science/pith/CII2Q443FZMN6SGVQGGR7WEUYW","bundle":"https://pith.science/pith/CII2Q443FZMN6SGVQGGR7WEUYW/bundle.json","state":"https://pith.science/pith/CII2Q443FZMN6SGVQGGR7WEUYW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CII2Q443FZMN6SGVQGGR7WEUYW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:CII2Q443FZMN6SGVQGGR7WEUYW","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":"00676a74ebd196a4705e57a014420eb2956b98f7d3c1a1bbf3ee862abea31823","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-04-21T16:07:21Z","title_canon_sha256":"f9e11e52e3ad9df0f4e62c9a86bc75f01377a323701e78e49f93e2117c266a95"},"schema_version":"1.0","source":{"id":"2504.15195","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.15195","created_at":"2026-06-04T01:09:37Z"},{"alias_kind":"arxiv_version","alias_value":"2504.15195v2","created_at":"2026-06-04T01:09:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.15195","created_at":"2026-06-04T01:09:37Z"},{"alias_kind":"pith_short_12","alias_value":"CII2Q443FZMN","created_at":"2026-06-04T01:09:37Z"},{"alias_kind":"pith_short_16","alias_value":"CII2Q443FZMN6SGV","created_at":"2026-06-04T01:09:37Z"},{"alias_kind":"pith_short_8","alias_value":"CII2Q443","created_at":"2026-06-04T01:09:37Z"}],"graph_snapshots":[{"event_id":"sha256:a5fb052d87793a30187830f06f564d9920c4ac5c4d00969ebf6f34fe98c1078e","target":"graph","created_at":"2026-06-04T01:09:37Z","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/2504.15195/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent work of Trusiani implies that the existence of a constant scalar curvature K\\\"ahler metric on a smooth polarised variety with discrete automorphism group is equivalent to uniform arc K-stability. We prove that uniform arc K-stability is essentially algebraic in flat families of polarised varieties. When the polarised varieties are further smooth and have discrete automorphism group, combining these two results implies that the constant scalar curvature K\\\"ahler locus is very general.\n  We use this result to give the first examples of constant scalar curvature K\\\"ahler metrics whose exis","authors_text":"Ruadha\\'i Dervan","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-04-21T16:07:21Z","title":"The constant scalar curvature K\\\"ahler condition is very general"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.15195","kind":"arxiv","version":2},"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:ab83b39fc10190dbac3efb587b159cbac934b7a18e411abd0697709e0c2e5a7e","target":"record","created_at":"2026-06-04T01:09:37Z","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":"00676a74ebd196a4705e57a014420eb2956b98f7d3c1a1bbf3ee862abea31823","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-04-21T16:07:21Z","title_canon_sha256":"f9e11e52e3ad9df0f4e62c9a86bc75f01377a323701e78e49f93e2117c266a95"},"schema_version":"1.0","source":{"id":"2504.15195","kind":"arxiv","version":2}},"canonical_sha256":"1211a8739b2e58df48d5818d1fd894c5a7389ecc9b6424b4925d58b9fee16975","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1211a8739b2e58df48d5818d1fd894c5a7389ecc9b6424b4925d58b9fee16975","first_computed_at":"2026-06-04T01:09:37.522873Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T01:09:37.522873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iA+0a+i13+AQ6lZSRedp8k2ziZ+uE8HOhQz3h4dNAvOfJQdSX+BjvDAJLTLGFrv9syuo36JaVIudtWnf2dC5CA==","signature_status":"signed_v1","signed_at":"2026-06-04T01:09:37.523416Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.15195","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab83b39fc10190dbac3efb587b159cbac934b7a18e411abd0697709e0c2e5a7e","sha256:a5fb052d87793a30187830f06f564d9920c4ac5c4d00969ebf6f34fe98c1078e"],"state_sha256":"4edeb60ad774ba14f1b0d7c4f1bba4394cc012d6ba487f625133335b38912927"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8M/mtgfV/W9fYJ31bVDgXvTMH/unRyrheO8ta3yashn+8snmdbKvuqbXAjH5iFIyYYb0v0cY5zUzX7qPdhJfBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T10:52:05.191165Z","bundle_sha256":"73821245d65d588efb8ddd4026c09d1b0dcf88b72e37ac3933536948caa76fb0"}}