{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:6UVHOEZU6MLC3JOGB5BEFJCOTX","short_pith_number":"pith:6UVHOEZU","canonical_record":{"source":{"id":"1508.02637","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-08-11T15:56:12Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"cde6d7df9211b048f2ea6244c22acbd6bb74f6a977ef318ae83d316c20bad04d","abstract_canon_sha256":"4aed4607a9782fb30928297d60bfc59771b43bcff22f8ee1379f6abc3e82c698"},"schema_version":"1.0"},"canonical_sha256":"f52a771334f3162da5c60f4242a44e9dd4acd41dc4ba1aa7fb657305e968189a","source":{"kind":"arxiv","id":"1508.02637","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.02637","created_at":"2026-05-18T00:30:11Z"},{"alias_kind":"arxiv_version","alias_value":"1508.02637v1","created_at":"2026-05-18T00:30:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02637","created_at":"2026-05-18T00:30:11Z"},{"alias_kind":"pith_short_12","alias_value":"6UVHOEZU6MLC","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6UVHOEZU6MLC3JOG","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6UVHOEZU","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:6UVHOEZU6MLC3JOGB5BEFJCOTX","target":"record","payload":{"canonical_record":{"source":{"id":"1508.02637","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-08-11T15:56:12Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"cde6d7df9211b048f2ea6244c22acbd6bb74f6a977ef318ae83d316c20bad04d","abstract_canon_sha256":"4aed4607a9782fb30928297d60bfc59771b43bcff22f8ee1379f6abc3e82c698"},"schema_version":"1.0"},"canonical_sha256":"f52a771334f3162da5c60f4242a44e9dd4acd41dc4ba1aa7fb657305e968189a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:11.857766Z","signature_b64":"yEJ7rHiZpEfusgeJFiHvV98rJ13p1YSY6+hFVC9m/a3WVblt+bl9COi7pALigMhtHUe8xftAon+xRl2+BcMtBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f52a771334f3162da5c60f4242a44e9dd4acd41dc4ba1aa7fb657305e968189a","last_reissued_at":"2026-05-18T00:30:11.857130Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:11.857130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.02637","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":"2026-05-18T00:30:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"72v65jJ6mskT3E8dGhjGNeDYcVh61dYtKdL6z2GMbQzgAqoG0NRLbz890hl1uDZqj4/FDlhq7WCiplXDaHPHCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T21:34:47.948906Z"},"content_sha256":"1a24605ec844235e8ac407d5d774a3c0ef427935368af021fdd8a542a4a7d4a6","schema_version":"1.0","event_id":"sha256:1a24605ec844235e8ac407d5d774a3c0ef427935368af021fdd8a542a4a7d4a6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:6UVHOEZU6MLC3JOGB5BEFJCOTX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability and canonical metrics on projective spaces blown up along a line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DG","authors_text":"Yoshinori Hashimoto","submitted_at":"2015-08-11T15:56:12Z","abstract_excerpt":"Let $\\text{Bl}_{\\mathbb{P}^1} \\mathbb{P}^n$ be a K\\\"ahler manifold obtained by blowing up a complex projective space $\\mathbb{P}^n$ along a line $\\mathbb{P}^1$. We prove that $\\text{Bl}_{\\mathbb{P}^1} \\mathbb{P}^n$ does not admit constant scalar curvature K\\\"ahler metrics in any rational K\\\"ahler class, but admits extremal metrics, with an explicit formula in action-angle coordinates, in K\\\"ahler classes that are close to the pullback of the Fubini--Study class."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02637","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":"2026-05-18T00:30:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"axlaDEe3GWHGiX/22aREf9b438oHB6EAlgvFIomqEwDut0scq2k7ETS5C8bVr/cQP1wK+vMZHgYzZHg/McFbCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T21:34:47.949247Z"},"content_sha256":"cdf4d07ad2acc3b5338078f86c5cf78e7c4565ea9df24cbd26db38a3b24ee43a","schema_version":"1.0","event_id":"sha256:cdf4d07ad2acc3b5338078f86c5cf78e7c4565ea9df24cbd26db38a3b24ee43a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6UVHOEZU6MLC3JOGB5BEFJCOTX/bundle.json","state_url":"https://pith.science/pith/6UVHOEZU6MLC3JOGB5BEFJCOTX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6UVHOEZU6MLC3JOGB5BEFJCOTX/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":"2026-05-29T21:34:47Z","links":{"resolver":"https://pith.science/pith/6UVHOEZU6MLC3JOGB5BEFJCOTX","bundle":"https://pith.science/pith/6UVHOEZU6MLC3JOGB5BEFJCOTX/bundle.json","state":"https://pith.science/pith/6UVHOEZU6MLC3JOGB5BEFJCOTX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6UVHOEZU6MLC3JOGB5BEFJCOTX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6UVHOEZU6MLC3JOGB5BEFJCOTX","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":"4aed4607a9782fb30928297d60bfc59771b43bcff22f8ee1379f6abc3e82c698","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-08-11T15:56:12Z","title_canon_sha256":"cde6d7df9211b048f2ea6244c22acbd6bb74f6a977ef318ae83d316c20bad04d"},"schema_version":"1.0","source":{"id":"1508.02637","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.02637","created_at":"2026-05-18T00:30:11Z"},{"alias_kind":"arxiv_version","alias_value":"1508.02637v1","created_at":"2026-05-18T00:30:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02637","created_at":"2026-05-18T00:30:11Z"},{"alias_kind":"pith_short_12","alias_value":"6UVHOEZU6MLC","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6UVHOEZU6MLC3JOG","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6UVHOEZU","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:cdf4d07ad2acc3b5338078f86c5cf78e7c4565ea9df24cbd26db38a3b24ee43a","target":"graph","created_at":"2026-05-18T00:30:11Z","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":"Let $\\text{Bl}_{\\mathbb{P}^1} \\mathbb{P}^n$ be a K\\\"ahler manifold obtained by blowing up a complex projective space $\\mathbb{P}^n$ along a line $\\mathbb{P}^1$. We prove that $\\text{Bl}_{\\mathbb{P}^1} \\mathbb{P}^n$ does not admit constant scalar curvature K\\\"ahler metrics in any rational K\\\"ahler class, but admits extremal metrics, with an explicit formula in action-angle coordinates, in K\\\"ahler classes that are close to the pullback of the Fubini--Study class.","authors_text":"Yoshinori Hashimoto","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-08-11T15:56:12Z","title":"Stability and canonical metrics on projective spaces blown up along a line"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02637","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":"sha256:1a24605ec844235e8ac407d5d774a3c0ef427935368af021fdd8a542a4a7d4a6","target":"record","created_at":"2026-05-18T00:30:11Z","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":"4aed4607a9782fb30928297d60bfc59771b43bcff22f8ee1379f6abc3e82c698","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-08-11T15:56:12Z","title_canon_sha256":"cde6d7df9211b048f2ea6244c22acbd6bb74f6a977ef318ae83d316c20bad04d"},"schema_version":"1.0","source":{"id":"1508.02637","kind":"arxiv","version":1}},"canonical_sha256":"f52a771334f3162da5c60f4242a44e9dd4acd41dc4ba1aa7fb657305e968189a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f52a771334f3162da5c60f4242a44e9dd4acd41dc4ba1aa7fb657305e968189a","first_computed_at":"2026-05-18T00:30:11.857130Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:11.857130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yEJ7rHiZpEfusgeJFiHvV98rJ13p1YSY6+hFVC9m/a3WVblt+bl9COi7pALigMhtHUe8xftAon+xRl2+BcMtBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:11.857766Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.02637","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a24605ec844235e8ac407d5d774a3c0ef427935368af021fdd8a542a4a7d4a6","sha256:cdf4d07ad2acc3b5338078f86c5cf78e7c4565ea9df24cbd26db38a3b24ee43a"],"state_sha256":"f843b7a545b5b1a22fd615593d5ab2e8c53055237635808cc9c5c8bff9a51377"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"awTBwAFCTY0hzyTOulVgTXNi+A5jFRX3j3evDI6pQEWrufWZQKhAQ1ZqEleytLRG0G3FTQx7goBDMhqJFedwCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T21:34:47.951397Z","bundle_sha256":"1334c0c9048713c6066ff6415af96df7dc17038367d4c92efcf44b5a6764ea56"}}