{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:XMGZ7XHGMSAEYAAY6TH2KF34DX","short_pith_number":"pith:XMGZ7XHG","canonical_record":{"source":{"id":"1805.03084","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-05-08T15:02:48Z","cross_cats_sorted":[],"title_canon_sha256":"083fe86b7a937d84c40cafc8b77a2ff7e252f23d84c8df3516bfc7d8e6b22ed0","abstract_canon_sha256":"3539a14414ec9c0e93153efa873e4044423c9871d795daa219c080c9799d907a"},"schema_version":"1.0"},"canonical_sha256":"bb0d9fdce664804c0018f4cfa5177c1dc01889af7106c8639037f7ee02bb0eb8","source":{"kind":"arxiv","id":"1805.03084","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.03084","created_at":"2026-05-18T00:16:34Z"},{"alias_kind":"arxiv_version","alias_value":"1805.03084v1","created_at":"2026-05-18T00:16:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.03084","created_at":"2026-05-18T00:16:34Z"},{"alias_kind":"pith_short_12","alias_value":"XMGZ7XHGMSAE","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XMGZ7XHGMSAEYAAY","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XMGZ7XHG","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:XMGZ7XHGMSAEYAAY6TH2KF34DX","target":"record","payload":{"canonical_record":{"source":{"id":"1805.03084","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-05-08T15:02:48Z","cross_cats_sorted":[],"title_canon_sha256":"083fe86b7a937d84c40cafc8b77a2ff7e252f23d84c8df3516bfc7d8e6b22ed0","abstract_canon_sha256":"3539a14414ec9c0e93153efa873e4044423c9871d795daa219c080c9799d907a"},"schema_version":"1.0"},"canonical_sha256":"bb0d9fdce664804c0018f4cfa5177c1dc01889af7106c8639037f7ee02bb0eb8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:34.657548Z","signature_b64":"JqekY8qciMBnaPT1FgP15xG9ixjbI2cBsQ6/4zSX5m+c/NY0cd24ThfvJwbPQ0KL7LoieoyoCo2JQMCTVvDlCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb0d9fdce664804c0018f4cfa5177c1dc01889af7106c8639037f7ee02bb0eb8","last_reissued_at":"2026-05-18T00:16:34.656849Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:34.656849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.03084","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":"2026-05-18T00:16:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ls1rWMUvZPtsOxnXBDfT1JwsegYntsP/zY7K2RLNAaH+j3nEzYBfpeKphMlSg9nRaC+eoCNhZqZId6i+klmFBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:44:28.801784Z"},"content_sha256":"79bf91137c1b36abd78a0b966a067a99b00e977d82c787df3d6695643f050734","schema_version":"1.0","event_id":"sha256:79bf91137c1b36abd78a0b966a067a99b00e977d82c787df3d6695643f050734"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:XMGZ7XHGMSAEYAAY6TH2KF34DX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Compactness of Kahler-Ricci solitons on Fano manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Bin Guo, Duong H. Phong, Jacob Sturm, Jian Song","submitted_at":"2018-05-08T15:02:48Z","abstract_excerpt":"In this short paper, we improve the result of Phong-Song-Sturm on degeneration of Fano K\\\"ahler-Ricci solitons by removing the assumption on the uniform bound of the Futaki invariant. Let $\\mathcal{KR}(n)$ be the space of K\\\"ahler-Ricci solitons on $n$-dimensional Fano manifolds. We show that after passing to a subsequence, any sequence in $\\mathcal{KR}(n)$ converge in the Gromov-Hausdorff topology to a K\\\"ahler-Ricci soliton on an $n$-dimensional $\\mathbb{Q}$-Fano variety with log terminal singularities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.03084","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":"2026-05-18T00:16:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zl2jSlu//wKHjgGc89qtKzn76SvxOWLyq7ICJEr6o2YED6ioT7YE2hylFZzoUSfMoBMk9Jzk65PCM5x4OM6DAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:44:28.802467Z"},"content_sha256":"1fce93a79c2ee1f9bc8f9a094287dd16544efb2e3729fc3ea1159b938040e997","schema_version":"1.0","event_id":"sha256:1fce93a79c2ee1f9bc8f9a094287dd16544efb2e3729fc3ea1159b938040e997"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XMGZ7XHGMSAEYAAY6TH2KF34DX/bundle.json","state_url":"https://pith.science/pith/XMGZ7XHGMSAEYAAY6TH2KF34DX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XMGZ7XHGMSAEYAAY6TH2KF34DX/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":"2026-05-26T12:44:28Z","links":{"resolver":"https://pith.science/pith/XMGZ7XHGMSAEYAAY6TH2KF34DX","bundle":"https://pith.science/pith/XMGZ7XHGMSAEYAAY6TH2KF34DX/bundle.json","state":"https://pith.science/pith/XMGZ7XHGMSAEYAAY6TH2KF34DX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XMGZ7XHGMSAEYAAY6TH2KF34DX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:XMGZ7XHGMSAEYAAY6TH2KF34DX","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":"3539a14414ec9c0e93153efa873e4044423c9871d795daa219c080c9799d907a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-05-08T15:02:48Z","title_canon_sha256":"083fe86b7a937d84c40cafc8b77a2ff7e252f23d84c8df3516bfc7d8e6b22ed0"},"schema_version":"1.0","source":{"id":"1805.03084","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.03084","created_at":"2026-05-18T00:16:34Z"},{"alias_kind":"arxiv_version","alias_value":"1805.03084v1","created_at":"2026-05-18T00:16:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.03084","created_at":"2026-05-18T00:16:34Z"},{"alias_kind":"pith_short_12","alias_value":"XMGZ7XHGMSAE","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XMGZ7XHGMSAEYAAY","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XMGZ7XHG","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:1fce93a79c2ee1f9bc8f9a094287dd16544efb2e3729fc3ea1159b938040e997","target":"graph","created_at":"2026-05-18T00:16:34Z","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":"In this short paper, we improve the result of Phong-Song-Sturm on degeneration of Fano K\\\"ahler-Ricci solitons by removing the assumption on the uniform bound of the Futaki invariant. Let $\\mathcal{KR}(n)$ be the space of K\\\"ahler-Ricci solitons on $n$-dimensional Fano manifolds. We show that after passing to a subsequence, any sequence in $\\mathcal{KR}(n)$ converge in the Gromov-Hausdorff topology to a K\\\"ahler-Ricci soliton on an $n$-dimensional $\\mathbb{Q}$-Fano variety with log terminal singularities.","authors_text":"Bin Guo, Duong H. Phong, Jacob Sturm, Jian Song","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-05-08T15:02:48Z","title":"Compactness of Kahler-Ricci solitons on Fano manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.03084","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":"sha256:79bf91137c1b36abd78a0b966a067a99b00e977d82c787df3d6695643f050734","target":"record","created_at":"2026-05-18T00:16:34Z","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":"3539a14414ec9c0e93153efa873e4044423c9871d795daa219c080c9799d907a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-05-08T15:02:48Z","title_canon_sha256":"083fe86b7a937d84c40cafc8b77a2ff7e252f23d84c8df3516bfc7d8e6b22ed0"},"schema_version":"1.0","source":{"id":"1805.03084","kind":"arxiv","version":1}},"canonical_sha256":"bb0d9fdce664804c0018f4cfa5177c1dc01889af7106c8639037f7ee02bb0eb8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb0d9fdce664804c0018f4cfa5177c1dc01889af7106c8639037f7ee02bb0eb8","first_computed_at":"2026-05-18T00:16:34.656849Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:34.656849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JqekY8qciMBnaPT1FgP15xG9ixjbI2cBsQ6/4zSX5m+c/NY0cd24ThfvJwbPQ0KL7LoieoyoCo2JQMCTVvDlCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:34.657548Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.03084","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79bf91137c1b36abd78a0b966a067a99b00e977d82c787df3d6695643f050734","sha256:1fce93a79c2ee1f9bc8f9a094287dd16544efb2e3729fc3ea1159b938040e997"],"state_sha256":"fda75c90426d293fdb9769434243b8a7284fcd1f10ae1d9990c7653bc07f4477"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bd66Cmwg1yUwGIBGAvI0dOJbQgiF3CRFfK1mAb+SPdmcdy26+UJCYdvTBHCpg9JjFN+Umwqxki1DEoj/V+I6BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T12:44:28.806229Z","bundle_sha256":"0c3786e9cd01cd484a243eab2e2dcadd9b4276c3934acdfccfc4664938b90017"}}