{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:P5RIP2H6NPFXJCEBSKHA73YCRT","short_pith_number":"pith:P5RIP2H6","canonical_record":{"source":{"id":"1112.1353","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-12-06T17:38:18Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"4720915d0ab02788cdb0ad75c6fb839e2461e1aa44931ca136e08d855d1cc3f6","abstract_canon_sha256":"d17546afaf645996178b3b6678e49947e277df85b3c6aa8e81a853c47989cd16"},"schema_version":"1.0"},"canonical_sha256":"7f6287e8fe6bcb748881928e0fef028cc2c04d3d7dac928b5ae11356c3353217","source":{"kind":"arxiv","id":"1112.1353","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1353","created_at":"2026-05-18T04:06:55Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1353v1","created_at":"2026-05-18T04:06:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1353","created_at":"2026-05-18T04:06:55Z"},{"alias_kind":"pith_short_12","alias_value":"P5RIP2H6NPFX","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"P5RIP2H6NPFXJCEB","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"P5RIP2H6","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:P5RIP2H6NPFXJCEBSKHA73YCRT","target":"record","payload":{"canonical_record":{"source":{"id":"1112.1353","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-12-06T17:38:18Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"4720915d0ab02788cdb0ad75c6fb839e2461e1aa44931ca136e08d855d1cc3f6","abstract_canon_sha256":"d17546afaf645996178b3b6678e49947e277df85b3c6aa8e81a853c47989cd16"},"schema_version":"1.0"},"canonical_sha256":"7f6287e8fe6bcb748881928e0fef028cc2c04d3d7dac928b5ae11356c3353217","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:06:55.613596Z","signature_b64":"HxIyYKU6whmOiU1cZzTMFYXKmf8oltK4EWRjHPrfJxq+oL10+qYqRVXghnaJAuKdHMur6ubpL3kdy/biAeKQDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f6287e8fe6bcb748881928e0fef028cc2c04d3d7dac928b5ae11356c3353217","last_reissued_at":"2026-05-18T04:06:55.613006Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:06:55.613006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.1353","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:06:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fS3F3SG69fPOJEAQF/CiUOzk1VzYlN/4+UmxLu+cHsXeX5iLSzdi6TKxY50Mw6g6YZY2gUs0+MIMjDhhGO5QBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:31:26.656672Z"},"content_sha256":"36838b3288bc3ef2e058c81a7f20a3755418ef58b67bf9bf8cd13fa2be385711","schema_version":"1.0","event_id":"sha256:36838b3288bc3ef2e058c81a7f20a3755418ef58b67bf9bf8cd13fa2be385711"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:P5RIP2H6NPFXJCEBSKHA73YCRT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Testing log K-stability by blowing up formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Song Sun, Yuji Odaka","submitted_at":"2011-12-06T17:38:18Z","abstract_excerpt":"We study logarithmic K-stability for pairs by extending the formula for Donaldson-Futaki invariants to log setting. We also provide algebro-geometric counterparts of recent results of existence of Kahler-Einstein metrics with cone singularities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1353","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:06:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A/QYH8ufcZGCt0HkIj87cM43TbqqSc5Dc/91Y7OIws6g39h5SB6jrDcJ/pT1yEZp/zBJf86JPy6M/jojyw5LBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:31:26.657306Z"},"content_sha256":"9078328d6d1454e30bc4b8f6c37b649139030a04620fe8ef7611b5f342d9ef0d","schema_version":"1.0","event_id":"sha256:9078328d6d1454e30bc4b8f6c37b649139030a04620fe8ef7611b5f342d9ef0d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P5RIP2H6NPFXJCEBSKHA73YCRT/bundle.json","state_url":"https://pith.science/pith/P5RIP2H6NPFXJCEBSKHA73YCRT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P5RIP2H6NPFXJCEBSKHA73YCRT/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":"2026-05-26T16:31:26Z","links":{"resolver":"https://pith.science/pith/P5RIP2H6NPFXJCEBSKHA73YCRT","bundle":"https://pith.science/pith/P5RIP2H6NPFXJCEBSKHA73YCRT/bundle.json","state":"https://pith.science/pith/P5RIP2H6NPFXJCEBSKHA73YCRT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P5RIP2H6NPFXJCEBSKHA73YCRT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:P5RIP2H6NPFXJCEBSKHA73YCRT","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":"d17546afaf645996178b3b6678e49947e277df85b3c6aa8e81a853c47989cd16","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-12-06T17:38:18Z","title_canon_sha256":"4720915d0ab02788cdb0ad75c6fb839e2461e1aa44931ca136e08d855d1cc3f6"},"schema_version":"1.0","source":{"id":"1112.1353","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1353","created_at":"2026-05-18T04:06:55Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1353v1","created_at":"2026-05-18T04:06:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1353","created_at":"2026-05-18T04:06:55Z"},{"alias_kind":"pith_short_12","alias_value":"P5RIP2H6NPFX","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"P5RIP2H6NPFXJCEB","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"P5RIP2H6","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:9078328d6d1454e30bc4b8f6c37b649139030a04620fe8ef7611b5f342d9ef0d","target":"graph","created_at":"2026-05-18T04:06:55Z","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 study logarithmic K-stability for pairs by extending the formula for Donaldson-Futaki invariants to log setting. We also provide algebro-geometric counterparts of recent results of existence of Kahler-Einstein metrics with cone singularities.","authors_text":"Song Sun, Yuji Odaka","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-12-06T17:38:18Z","title":"Testing log K-stability by blowing up formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1353","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":"sha256:36838b3288bc3ef2e058c81a7f20a3755418ef58b67bf9bf8cd13fa2be385711","target":"record","created_at":"2026-05-18T04:06:55Z","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":"d17546afaf645996178b3b6678e49947e277df85b3c6aa8e81a853c47989cd16","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-12-06T17:38:18Z","title_canon_sha256":"4720915d0ab02788cdb0ad75c6fb839e2461e1aa44931ca136e08d855d1cc3f6"},"schema_version":"1.0","source":{"id":"1112.1353","kind":"arxiv","version":1}},"canonical_sha256":"7f6287e8fe6bcb748881928e0fef028cc2c04d3d7dac928b5ae11356c3353217","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f6287e8fe6bcb748881928e0fef028cc2c04d3d7dac928b5ae11356c3353217","first_computed_at":"2026-05-18T04:06:55.613006Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:06:55.613006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HxIyYKU6whmOiU1cZzTMFYXKmf8oltK4EWRjHPrfJxq+oL10+qYqRVXghnaJAuKdHMur6ubpL3kdy/biAeKQDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:06:55.613596Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.1353","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36838b3288bc3ef2e058c81a7f20a3755418ef58b67bf9bf8cd13fa2be385711","sha256:9078328d6d1454e30bc4b8f6c37b649139030a04620fe8ef7611b5f342d9ef0d"],"state_sha256":"3d515eb9efa7932ef50e2015e3ef993419c7ae6a3ff85c3a83237742a863daf2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"54t8QAvKPCzKqPLtteoQe13G8VDEtVWA8+frXaIIEyqUius1pxYPfquhFdZYs0uvmMX9ODTnxXqJ98wt3fx+AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T16:31:26.660972Z","bundle_sha256":"75eb5efc3dd0963099cc1b3f2c388901099a317cb56e74f49f3c5d19753ac7cd"}}