{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5Q3L3OTXWTIVHIXRIXRAWMK6BD","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":"fb72fa855421018062c3016ed40c62754c6b1d67143c5dbfc07a7e9a8b89b7df","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-04-05T18:45:25Z","title_canon_sha256":"c9ce1a70acfed2bd2aceb4e28ae3b0e41171f030e767ac0329793e2e9259dc09"},"schema_version":"1.0","source":{"id":"2604.04223","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2604.04223","created_at":"2026-05-28T02:04:47Z"},{"alias_kind":"arxiv_version","alias_value":"2604.04223v2","created_at":"2026-05-28T02:04:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.04223","created_at":"2026-05-28T02:04:47Z"},{"alias_kind":"pith_short_12","alias_value":"5Q3L3OTXWTIV","created_at":"2026-05-28T02:04:47Z"},{"alias_kind":"pith_short_16","alias_value":"5Q3L3OTXWTIVHIXR","created_at":"2026-05-28T02:04:47Z"},{"alias_kind":"pith_short_8","alias_value":"5Q3L3OTX","created_at":"2026-05-28T02:04:47Z"}],"graph_snapshots":[{"event_id":"sha256:efa4982b337238546eda1ec0c8424ca90dc564594f71b3fd8342083f99d755a3","target":"graph","created_at":"2026-05-28T02:04:47Z","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/2604.04223/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $(Y,g_0)$ be a compact analytic space with a finite number of singular points, where the metric at each singular point is modelled on a K\\\"ahler cone with smooth canonical model. We show that the K\\\"ahler-Ricci flow with such initial data satisfies a $C/t$ curvature bound, and that the flow near each singular point is modelled on the unique K\\\"ahler-Ricci expander asymptotic to the corresponding cone. Our motivation is to give a geometric description of the K\\\"ahler--Ricci flow emerging from singularities arising in the analytic minimal model program.","authors_text":"Longteng Chen, Lucas Lavoyer, Max Hallgren","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-04-05T18:45:25Z","title":"Expanding Soliton Models for K\\\"ahler-Ricci Flow Near Conical Singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2604.04223","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:a4f75083ca04124cad0952700646e2fd40d13ab64d6330c604ede2e75233f2a2","target":"record","created_at":"2026-05-28T02:04:47Z","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":"fb72fa855421018062c3016ed40c62754c6b1d67143c5dbfc07a7e9a8b89b7df","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-04-05T18:45:25Z","title_canon_sha256":"c9ce1a70acfed2bd2aceb4e28ae3b0e41171f030e767ac0329793e2e9259dc09"},"schema_version":"1.0","source":{"id":"2604.04223","kind":"arxiv","version":2}},"canonical_sha256":"ec36bdba77b4d153a2f145e20b315e08e5b4160a330444bb655848983ef96c7f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec36bdba77b4d153a2f145e20b315e08e5b4160a330444bb655848983ef96c7f","first_computed_at":"2026-05-28T02:04:47.311189Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-28T02:04:47.311189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vcNqaBUZrKJWD7jVmcnpM2tP6aJt22GBq06ScENqu7tenW2ljjz1j7h4dgiBcwIp317oXKJXpl0buUhFYeLHBQ==","signature_status":"signed_v1","signed_at":"2026-05-28T02:04:47.311636Z","signed_message":"canonical_sha256_bytes"},"source_id":"2604.04223","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4f75083ca04124cad0952700646e2fd40d13ab64d6330c604ede2e75233f2a2","sha256:efa4982b337238546eda1ec0c8424ca90dc564594f71b3fd8342083f99d755a3"],"state_sha256":"8782566c914740d7f30ca275192499d4d52a80a049e9018a7bf486ae1cde0bd4"}