{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ESIQCIILQLTRHRVMLQMWGATSWP","short_pith_number":"pith:ESIQCIIL","canonical_record":{"source":{"id":"1212.3653","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-12-15T02:49:07Z","cross_cats_sorted":[],"title_canon_sha256":"c940239eb577039959261a859bb649bf2257f9de32bdb3975052665a889a0cdb","abstract_canon_sha256":"373a39c6426c8086c60ca35e80f81e7121ddac898955508ea330a6fb161024cf"},"schema_version":"1.0"},"canonical_sha256":"249101210b82e713c6ac5c19630272b3f62f45cb674cfd6b5c6f25ac06dd718c","source":{"kind":"arxiv","id":"1212.3653","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3653","created_at":"2026-05-17T23:58:23Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3653v1","created_at":"2026-05-17T23:58:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3653","created_at":"2026-05-17T23:58:23Z"},{"alias_kind":"pith_short_12","alias_value":"ESIQCIILQLTR","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"ESIQCIILQLTRHRVM","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"ESIQCIIL","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ESIQCIILQLTRHRVMLQMWGATSWP","target":"record","payload":{"canonical_record":{"source":{"id":"1212.3653","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-12-15T02:49:07Z","cross_cats_sorted":[],"title_canon_sha256":"c940239eb577039959261a859bb649bf2257f9de32bdb3975052665a889a0cdb","abstract_canon_sha256":"373a39c6426c8086c60ca35e80f81e7121ddac898955508ea330a6fb161024cf"},"schema_version":"1.0"},"canonical_sha256":"249101210b82e713c6ac5c19630272b3f62f45cb674cfd6b5c6f25ac06dd718c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:23.543280Z","signature_b64":"/752CzRi1Q5NxSL6dUR2j5z8vF5lyPtlVYmts45vVTZxw9xruvgepEEshTSzZZmTvw9Ft47kaKKFN7tMOhfyBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"249101210b82e713c6ac5c19630272b3f62f45cb674cfd6b5c6f25ac06dd718c","last_reissued_at":"2026-05-17T23:58:23.542618Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:23.542618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.3653","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":"2026-05-17T23:58:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ql1aMgADqvbcXdQK9gaUvhqnwMtR3jL5kM7HTEj+Dm/AhHBo16Uu6FfriyWOIWfLHc69d1Gt0u+LBXauUnF1CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T15:00:57.805511Z"},"content_sha256":"451b2eebfb9e9a9c68bf33570b9a93b91f114bc9eeb78d39c69f0f0c0e73e305","schema_version":"1.0","event_id":"sha256:451b2eebfb9e9a9c68bf33570b9a93b91f114bc9eeb78d39c69f0f0c0e73e305"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ESIQCIILQLTRHRVMLQMWGATSWP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lecture notes on the K\\\"ahler-Ricci flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Ben Weinkove, Jian Song","submitted_at":"2012-12-15T02:49:07Z","abstract_excerpt":"These lecture notes give an introduction to the Kahler-Ricci flow. They are based on lectures given by the authors at the conference \"Analytic Aspects of Complex Algebraic Geometry\", held at the Centre International de Rencontres Mathematiques in Luminy, in February 2011."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3653","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":"2026-05-17T23:58:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KSqS7Y1yEFFUxZZnxliUpacLwcuRP8crEGGzZu99IK0k1Ks5GbftotOfLcA8hFgf5kJAnof2pJfELNC6zjriDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T15:00:57.805859Z"},"content_sha256":"30a63ebcae2b42e27a705391cd6f7d754f5cb5f65b352afb08baa9d84a2386b0","schema_version":"1.0","event_id":"sha256:30a63ebcae2b42e27a705391cd6f7d754f5cb5f65b352afb08baa9d84a2386b0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ESIQCIILQLTRHRVMLQMWGATSWP/bundle.json","state_url":"https://pith.science/pith/ESIQCIILQLTRHRVMLQMWGATSWP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ESIQCIILQLTRHRVMLQMWGATSWP/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":"2026-07-01T15:00:57Z","links":{"resolver":"https://pith.science/pith/ESIQCIILQLTRHRVMLQMWGATSWP","bundle":"https://pith.science/pith/ESIQCIILQLTRHRVMLQMWGATSWP/bundle.json","state":"https://pith.science/pith/ESIQCIILQLTRHRVMLQMWGATSWP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ESIQCIILQLTRHRVMLQMWGATSWP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ESIQCIILQLTRHRVMLQMWGATSWP","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":"373a39c6426c8086c60ca35e80f81e7121ddac898955508ea330a6fb161024cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-12-15T02:49:07Z","title_canon_sha256":"c940239eb577039959261a859bb649bf2257f9de32bdb3975052665a889a0cdb"},"schema_version":"1.0","source":{"id":"1212.3653","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3653","created_at":"2026-05-17T23:58:23Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3653v1","created_at":"2026-05-17T23:58:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3653","created_at":"2026-05-17T23:58:23Z"},{"alias_kind":"pith_short_12","alias_value":"ESIQCIILQLTR","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"ESIQCIILQLTRHRVM","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"ESIQCIIL","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:30a63ebcae2b42e27a705391cd6f7d754f5cb5f65b352afb08baa9d84a2386b0","target":"graph","created_at":"2026-05-17T23:58:23Z","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":"These lecture notes give an introduction to the Kahler-Ricci flow. They are based on lectures given by the authors at the conference \"Analytic Aspects of Complex Algebraic Geometry\", held at the Centre International de Rencontres Mathematiques in Luminy, in February 2011.","authors_text":"Ben Weinkove, Jian Song","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-12-15T02:49:07Z","title":"Lecture notes on the K\\\"ahler-Ricci flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3653","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":"sha256:451b2eebfb9e9a9c68bf33570b9a93b91f114bc9eeb78d39c69f0f0c0e73e305","target":"record","created_at":"2026-05-17T23:58:23Z","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":"373a39c6426c8086c60ca35e80f81e7121ddac898955508ea330a6fb161024cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-12-15T02:49:07Z","title_canon_sha256":"c940239eb577039959261a859bb649bf2257f9de32bdb3975052665a889a0cdb"},"schema_version":"1.0","source":{"id":"1212.3653","kind":"arxiv","version":1}},"canonical_sha256":"249101210b82e713c6ac5c19630272b3f62f45cb674cfd6b5c6f25ac06dd718c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"249101210b82e713c6ac5c19630272b3f62f45cb674cfd6b5c6f25ac06dd718c","first_computed_at":"2026-05-17T23:58:23.542618Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:23.542618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/752CzRi1Q5NxSL6dUR2j5z8vF5lyPtlVYmts45vVTZxw9xruvgepEEshTSzZZmTvw9Ft47kaKKFN7tMOhfyBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:23.543280Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.3653","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:451b2eebfb9e9a9c68bf33570b9a93b91f114bc9eeb78d39c69f0f0c0e73e305","sha256:30a63ebcae2b42e27a705391cd6f7d754f5cb5f65b352afb08baa9d84a2386b0"],"state_sha256":"f5223b430100d3ff1a914ab745b355ef5bc831041a035ac74a5b9158a025d0b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tbt3khaHm6JqJRS0eOgX03uvhVoY6Jp8/1fna8KU0mT+BcgqmvLnuY343f+HXNIxMLu5cDcbXZHp5AVWsNfJDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T15:00:57.808010Z","bundle_sha256":"109363deee73083aac2b8c2cd8131905004aa3e144e588fda9490965b4a9ecac"}}