{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:I6O2VRMFAP5SQODI2SAGEMXWJU","short_pith_number":"pith:I6O2VRMF","canonical_record":{"source":{"id":"1407.4887","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-07-18T05:24:54Z","cross_cats_sorted":[],"title_canon_sha256":"5035d886d0ae3d307df97e601e40c6e28e3bed2aa3e12bfbeee0020eff66f668","abstract_canon_sha256":"8ac0f406e766f3fe1bb8272c2da078b9395e8f2a667323b06a156a9df6f4f9cb"},"schema_version":"1.0"},"canonical_sha256":"479daac58503fb283868d4806232f64d0dd8ca7aefa50973d0939cca1ee26c1a","source":{"kind":"arxiv","id":"1407.4887","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.4887","created_at":"2026-05-18T02:47:22Z"},{"alias_kind":"arxiv_version","alias_value":"1407.4887v1","created_at":"2026-05-18T02:47:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.4887","created_at":"2026-05-18T02:47:22Z"},{"alias_kind":"pith_short_12","alias_value":"I6O2VRMFAP5S","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"I6O2VRMFAP5SQODI","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"I6O2VRMF","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:I6O2VRMFAP5SQODI2SAGEMXWJU","target":"record","payload":{"canonical_record":{"source":{"id":"1407.4887","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-07-18T05:24:54Z","cross_cats_sorted":[],"title_canon_sha256":"5035d886d0ae3d307df97e601e40c6e28e3bed2aa3e12bfbeee0020eff66f668","abstract_canon_sha256":"8ac0f406e766f3fe1bb8272c2da078b9395e8f2a667323b06a156a9df6f4f9cb"},"schema_version":"1.0"},"canonical_sha256":"479daac58503fb283868d4806232f64d0dd8ca7aefa50973d0939cca1ee26c1a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:22.450874Z","signature_b64":"T1TjUdBq1J1JKbZcLCHxZ3rMUqRb3HOpZk5dJUstPldidko90OfwPHbah8eYwOV7Svjqfy8gUNal7a5PZJc3Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"479daac58503fb283868d4806232f64d0dd8ca7aefa50973d0939cca1ee26c1a","last_reissued_at":"2026-05-18T02:47:22.450211Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:22.450211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.4887","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":"2026-05-18T02:47:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aBCypz0f8yvOndrZLzK24YfaZwgMJCnBI64Az263HXx8O60qZpdjsNw/viG6GoZpNcG0n9LQNGYh5DvGyBcyCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:41:28.243631Z"},"content_sha256":"4fde7fdead6cddc7a80842ec1f793cb39c5efbbed39810dee48f8d9df865bf7b","schema_version":"1.0","event_id":"sha256:4fde7fdead6cddc7a80842ec1f793cb39c5efbbed39810dee48f8d9df865bf7b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:I6O2VRMFAP5SQODI2SAGEMXWJU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the smoothability of certain K\\\"ahler cones","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ronan J. Conlon","submitted_at":"2014-07-18T05:24:54Z","abstract_excerpt":"Let $D$ be a Fano manifold that may be realised as $\\mathbb{P}(\\mathcal{E})$ for some rank $2$ holomorphic vector bundle $\\mathcal{E}\\longrightarrow Z$ over some Fano manifold $Z$. Let $k\\in\\mathbb{N}$ divide $c_{1}(D)$. We classify those K\\\"ahler cones of dimension $\\leq4$ of the form $(\\frac{1}{k}K_{D})^{\\times}$ that are smoothable. As a consequence, we find that any irregular Calabi-Yau cone of dimension $\\leq 4$ of this form does not admit a smoothing, leaving $K_{\\mathbb{P}^{2}_{(2)}}^{\\times}$ as currently the only known example of a smoothable irregular Calabi-Yau cone in these dimensi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.4887","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":"2026-05-18T02:47:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2GDnxSfSkFJb6TT1z0bTphNI4l0OSy+BSBP1o4Soi8wAI4oR8P4ZF4GwadVNFFoJ7rD6k/QxA/K2qdg3quM3Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:41:28.243976Z"},"content_sha256":"161cf80b2978529cd7d59d1233f1f283a6354f1ba623a7c1c721a835cde030fd","schema_version":"1.0","event_id":"sha256:161cf80b2978529cd7d59d1233f1f283a6354f1ba623a7c1c721a835cde030fd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I6O2VRMFAP5SQODI2SAGEMXWJU/bundle.json","state_url":"https://pith.science/pith/I6O2VRMFAP5SQODI2SAGEMXWJU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I6O2VRMFAP5SQODI2SAGEMXWJU/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":"2026-05-28T05:41:28Z","links":{"resolver":"https://pith.science/pith/I6O2VRMFAP5SQODI2SAGEMXWJU","bundle":"https://pith.science/pith/I6O2VRMFAP5SQODI2SAGEMXWJU/bundle.json","state":"https://pith.science/pith/I6O2VRMFAP5SQODI2SAGEMXWJU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I6O2VRMFAP5SQODI2SAGEMXWJU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:I6O2VRMFAP5SQODI2SAGEMXWJU","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":"8ac0f406e766f3fe1bb8272c2da078b9395e8f2a667323b06a156a9df6f4f9cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-07-18T05:24:54Z","title_canon_sha256":"5035d886d0ae3d307df97e601e40c6e28e3bed2aa3e12bfbeee0020eff66f668"},"schema_version":"1.0","source":{"id":"1407.4887","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.4887","created_at":"2026-05-18T02:47:22Z"},{"alias_kind":"arxiv_version","alias_value":"1407.4887v1","created_at":"2026-05-18T02:47:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.4887","created_at":"2026-05-18T02:47:22Z"},{"alias_kind":"pith_short_12","alias_value":"I6O2VRMFAP5S","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"I6O2VRMFAP5SQODI","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"I6O2VRMF","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:161cf80b2978529cd7d59d1233f1f283a6354f1ba623a7c1c721a835cde030fd","target":"graph","created_at":"2026-05-18T02:47:22Z","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":"Let $D$ be a Fano manifold that may be realised as $\\mathbb{P}(\\mathcal{E})$ for some rank $2$ holomorphic vector bundle $\\mathcal{E}\\longrightarrow Z$ over some Fano manifold $Z$. Let $k\\in\\mathbb{N}$ divide $c_{1}(D)$. We classify those K\\\"ahler cones of dimension $\\leq4$ of the form $(\\frac{1}{k}K_{D})^{\\times}$ that are smoothable. As a consequence, we find that any irregular Calabi-Yau cone of dimension $\\leq 4$ of this form does not admit a smoothing, leaving $K_{\\mathbb{P}^{2}_{(2)}}^{\\times}$ as currently the only known example of a smoothable irregular Calabi-Yau cone in these dimensi","authors_text":"Ronan J. Conlon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-07-18T05:24:54Z","title":"On the smoothability of certain K\\\"ahler cones"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.4887","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":"sha256:4fde7fdead6cddc7a80842ec1f793cb39c5efbbed39810dee48f8d9df865bf7b","target":"record","created_at":"2026-05-18T02:47:22Z","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":"8ac0f406e766f3fe1bb8272c2da078b9395e8f2a667323b06a156a9df6f4f9cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-07-18T05:24:54Z","title_canon_sha256":"5035d886d0ae3d307df97e601e40c6e28e3bed2aa3e12bfbeee0020eff66f668"},"schema_version":"1.0","source":{"id":"1407.4887","kind":"arxiv","version":1}},"canonical_sha256":"479daac58503fb283868d4806232f64d0dd8ca7aefa50973d0939cca1ee26c1a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"479daac58503fb283868d4806232f64d0dd8ca7aefa50973d0939cca1ee26c1a","first_computed_at":"2026-05-18T02:47:22.450211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:22.450211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T1TjUdBq1J1JKbZcLCHxZ3rMUqRb3HOpZk5dJUstPldidko90OfwPHbah8eYwOV7Svjqfy8gUNal7a5PZJc3Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:22.450874Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.4887","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4fde7fdead6cddc7a80842ec1f793cb39c5efbbed39810dee48f8d9df865bf7b","sha256:161cf80b2978529cd7d59d1233f1f283a6354f1ba623a7c1c721a835cde030fd"],"state_sha256":"447972af161a53837993598f459422325a568b8b20be1816336567159a405da6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eHdQPgSH9+4FBYMwVgEyqPT2HKlXKd94tjOuK/xodSA2zt3cHAzPVCWtXOcKAX3WFom6vyOQckiTO86jKRg3DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T05:41:28.245978Z","bundle_sha256":"5af516d39ebac8612bcaa2ff1bede187660e7541ae52ccfd7c5bff5ca9473238"}}