{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:5Q3L3OTXWTIVHIXRIXRAWMK6BD","short_pith_number":"pith:5Q3L3OTX","schema_version":"1.0","canonical_sha256":"ec36bdba77b4d153a2f145e20b315e08e5b4160a330444bb655848983ef96c7f","source":{"kind":"arxiv","id":"2604.04223","version":2},"attestation_state":"computed","paper":{"title":"Expanding Soliton Models for K\\\"ahler-Ricci Flow Near Conical Singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Longteng Chen, Lucas Lavoyer, Max Hallgren","submitted_at":"2026-04-05T18:45:25Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2604.04223","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-04-05T18:45:25Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"c9ce1a70acfed2bd2aceb4e28ae3b0e41171f030e767ac0329793e2e9259dc09","abstract_canon_sha256":"fb72fa855421018062c3016ed40c62754c6b1d67143c5dbfc07a7e9a8b89b7df"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-28T02:04:47.311636Z","signature_b64":"vcNqaBUZrKJWD7jVmcnpM2tP6aJt22GBq06ScENqu7tenW2ljjz1j7h4dgiBcwIp317oXKJXpl0buUhFYeLHBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec36bdba77b4d153a2f145e20b315e08e5b4160a330444bb655848983ef96c7f","last_reissued_at":"2026-05-28T02:04:47.311189Z","signature_status":"signed_v1","first_computed_at":"2026-05-28T02:04:47.311189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Expanding Soliton Models for K\\\"ahler-Ricci Flow Near Conical Singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Longteng Chen, Lucas Lavoyer, Max Hallgren","submitted_at":"2026-04-05T18:45:25Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2604.04223","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.04223/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2604.04223","created_at":"2026-05-28T02:04:47.311256+00:00"},{"alias_kind":"arxiv_version","alias_value":"2604.04223v2","created_at":"2026-05-28T02:04:47.311256+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.04223","created_at":"2026-05-28T02:04:47.311256+00:00"},{"alias_kind":"pith_short_12","alias_value":"5Q3L3OTXWTIV","created_at":"2026-05-28T02:04:47.311256+00:00"},{"alias_kind":"pith_short_16","alias_value":"5Q3L3OTXWTIVHIXR","created_at":"2026-05-28T02:04:47.311256+00:00"},{"alias_kind":"pith_short_8","alias_value":"5Q3L3OTX","created_at":"2026-05-28T02:04:47.311256+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5Q3L3OTXWTIVHIXRIXRAWMK6BD","json":"https://pith.science/pith/5Q3L3OTXWTIVHIXRIXRAWMK6BD.json","graph_json":"https://pith.science/api/pith-number/5Q3L3OTXWTIVHIXRIXRAWMK6BD/graph.json","events_json":"https://pith.science/api/pith-number/5Q3L3OTXWTIVHIXRIXRAWMK6BD/events.json","paper":"https://pith.science/paper/5Q3L3OTX"},"agent_actions":{"view_html":"https://pith.science/pith/5Q3L3OTXWTIVHIXRIXRAWMK6BD","download_json":"https://pith.science/pith/5Q3L3OTXWTIVHIXRIXRAWMK6BD.json","view_paper":"https://pith.science/paper/5Q3L3OTX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2604.04223&json=true","fetch_graph":"https://pith.science/api/pith-number/5Q3L3OTXWTIVHIXRIXRAWMK6BD/graph.json","fetch_events":"https://pith.science/api/pith-number/5Q3L3OTXWTIVHIXRIXRAWMK6BD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5Q3L3OTXWTIVHIXRIXRAWMK6BD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5Q3L3OTXWTIVHIXRIXRAWMK6BD/action/storage_attestation","attest_author":"https://pith.science/pith/5Q3L3OTXWTIVHIXRIXRAWMK6BD/action/author_attestation","sign_citation":"https://pith.science/pith/5Q3L3OTXWTIVHIXRIXRAWMK6BD/action/citation_signature","submit_replication":"https://pith.science/pith/5Q3L3OTXWTIVHIXRIXRAWMK6BD/action/replication_record"}},"created_at":"2026-05-28T02:04:47.311256+00:00","updated_at":"2026-05-28T02:04:47.311256+00:00"}