{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:3E2LW4W226KD7EX2YFIFXXVSRA","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":"8ef2777e96a08bbc74359db21552ed509f547c5248437a79d7ce0cd6a003031d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-12-22T07:52:49Z","title_canon_sha256":"78f3346533fc9da73f17d5381cc0298f85589f7ab9aea864bc4924e2e3bf00de"},"schema_version":"1.0","source":{"id":"2412.16907","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.16907","created_at":"2026-07-28T02:23:13Z"},{"alias_kind":"arxiv_version","alias_value":"2412.16907v3","created_at":"2026-07-28T02:23:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.16907","created_at":"2026-07-28T02:23:13Z"},{"alias_kind":"pith_short_12","alias_value":"3E2LW4W226KD","created_at":"2026-07-28T02:23:13Z"},{"alias_kind":"pith_short_16","alias_value":"3E2LW4W226KD7EX2","created_at":"2026-07-28T02:23:13Z"},{"alias_kind":"pith_short_8","alias_value":"3E2LW4W2","created_at":"2026-07-28T02:23:13Z"}],"graph_snapshots":[{"event_id":"sha256:21a6756797b2bca5ec4cbff3d5eb90951784bce901a50460e813b0a3aafe1932","target":"graph","created_at":"2026-07-28T02:23:13Z","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/2412.16907/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct a continuous 3-parameter family of non-shrinking Ricci solitons complex line bundles $O(k)$ over $\\mathbb{CP}^{2m+1}$, where the base space is not necessarily K\\\"ahler--Einstein. Each $O(k)$ with $k\\in [3,2m+1]$ admits at least one asymptotically conical (AC) Ricci-flat metric in this family. For each $O(k)$ with $k\\geq 3$, the family includes infinitely many asymptotically paraboloidal (AP) steady Ricci soliton.","authors_text":"Hanci Chi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-12-22T07:52:49Z","title":"Infinitely many non-collapsed steady Ricci solitons on complex line bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.16907","kind":"arxiv","version":3},"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":"sha256:6e745779968249b741399de4c26983f697f55d41a1ea379a22c9ab3a957fc75b","target":"record","created_at":"2026-07-28T02:23:13Z","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":"8ef2777e96a08bbc74359db21552ed509f547c5248437a79d7ce0cd6a003031d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-12-22T07:52:49Z","title_canon_sha256":"78f3346533fc9da73f17d5381cc0298f85589f7ab9aea864bc4924e2e3bf00de"},"schema_version":"1.0","source":{"id":"2412.16907","kind":"arxiv","version":3}},"canonical_sha256":"d934bb72dad7943f92fac1505bdeb28820b6171c38c71d168f51771f621a6a2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d934bb72dad7943f92fac1505bdeb28820b6171c38c71d168f51771f621a6a2e","first_computed_at":"2026-07-28T02:23:13.343918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T02:23:13.343918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fn/QhLW5TLJIMvBPvhxODWDD8EXq+RZH/5EZQ6QNMI6NlvYj110qNEuVPvEgzJnyHudLKKtAQ/yUFCfXivh9Bg==","signature_status":"signed_v1","signed_at":"2026-07-28T02:23:13.344930Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.16907","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e745779968249b741399de4c26983f697f55d41a1ea379a22c9ab3a957fc75b","sha256:21a6756797b2bca5ec4cbff3d5eb90951784bce901a50460e813b0a3aafe1932"],"state_sha256":"a6af242659c00e24a216f6682a99d07e7e449975be2382aa8fa777229c12fd0d"}