{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:KXYU2EZE7VQ6X5CEW6LH3SHEIN","short_pith_number":"pith:KXYU2EZE","canonical_record":{"source":{"id":"1910.11321","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-10-24T17:55:27Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"c3fc36f6b46eec119426e6951224b2cab8db5e25feeb23e56d1545f67eaacf2d","abstract_canon_sha256":"8e66468a1b54c936903804a9a3fae273d2ae39515a1cd5d193411c5e63c049ca"},"schema_version":"1.0"},"canonical_sha256":"55f14d1324fd61ebf444b7967dc8e4435115be9b4a5fe9e9d1b8631dea30f184","source":{"kind":"arxiv","id":"1910.11321","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.11321","created_at":"2026-07-05T00:14:42Z"},{"alias_kind":"arxiv_version","alias_value":"1910.11321v1","created_at":"2026-07-05T00:14:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.11321","created_at":"2026-07-05T00:14:42Z"},{"alias_kind":"pith_short_12","alias_value":"KXYU2EZE7VQ6","created_at":"2026-07-05T00:14:42Z"},{"alias_kind":"pith_short_16","alias_value":"KXYU2EZE7VQ6X5CE","created_at":"2026-07-05T00:14:42Z"},{"alias_kind":"pith_short_8","alias_value":"KXYU2EZE","created_at":"2026-07-05T00:14:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:KXYU2EZE7VQ6X5CEW6LH3SHEIN","target":"record","payload":{"canonical_record":{"source":{"id":"1910.11321","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-10-24T17:55:27Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"c3fc36f6b46eec119426e6951224b2cab8db5e25feeb23e56d1545f67eaacf2d","abstract_canon_sha256":"8e66468a1b54c936903804a9a3fae273d2ae39515a1cd5d193411c5e63c049ca"},"schema_version":"1.0"},"canonical_sha256":"55f14d1324fd61ebf444b7967dc8e4435115be9b4a5fe9e9d1b8631dea30f184","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:14:42.390491Z","signature_b64":"4+1PFLj0HMS1klwPV0if/45bslCzA2wEQO/3azTlrtP5IWUtAKGXpiu4d+v2r7KKjsDDJNa0wg/yoWhSL6Y1CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55f14d1324fd61ebf444b7967dc8e4435115be9b4a5fe9e9d1b8631dea30f184","last_reissued_at":"2026-07-05T00:14:42.390073Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:14:42.390073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1910.11321","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":"2026-07-05T00:14:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"81QkPxXFeGa07O/aqCZcViiE7xv+C+uKLz2GS8qzsu4UCUyyqYTA8AO0CaDdeWj9TC3+bELT/aL6mvgooAq6Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T18:56:36.243053Z"},"content_sha256":"6cd99ab3b10800e341edb1d9d30021d80ca23d385da1fe88630b393021f81ce8","schema_version":"1.0","event_id":"sha256:6cd99ab3b10800e341edb1d9d30021d80ca23d385da1fe88630b393021f81ce8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:KXYU2EZE7VQ6X5CEW6LH3SHEIN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Collapsing Ricci-flat metrics on elliptic K3 surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DG","authors_text":"Gao Chen, Jeff Viaclovsky, Ruobing Zhang","submitted_at":"2019-10-24T17:55:27Z","abstract_excerpt":"For any elliptic K3 surface $\\mathfrak{F}: \\mathcal{K} \\rightarrow \\mathbb{P}^1$, we construct a family of collapsing Ricci-flat K\\\"ahler metrics such that curvatures are uniformly bounded away from singular fibers, and which Gromov-Hausdorff limit to $\\mathbb{P}^1$ equipped with the McLean metric. There are well-known examples of this type of collapsing, but the key point of our construction is that we can additionally give a precise description of the metric degeneration near each type of singular fiber, without any restriction on the types of singular fibers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.11321","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1910.11321/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:14:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"USDdXiOWURx/dOXu9xMAH9VvdCmPZw60XcAF38qT+34y/+26bUdcb4hRz22OjFBjRyrQ7dGvtJowHCQsZ/BRDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T18:56:36.243608Z"},"content_sha256":"84e33d55d01a8bc71a4ae145fc29f748f6b6ceca71c0f72781ba1205ce67d237","schema_version":"1.0","event_id":"sha256:84e33d55d01a8bc71a4ae145fc29f748f6b6ceca71c0f72781ba1205ce67d237"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KXYU2EZE7VQ6X5CEW6LH3SHEIN/bundle.json","state_url":"https://pith.science/pith/KXYU2EZE7VQ6X5CEW6LH3SHEIN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KXYU2EZE7VQ6X5CEW6LH3SHEIN/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":"2026-08-23T18:56:36Z","links":{"resolver":"https://pith.science/pith/KXYU2EZE7VQ6X5CEW6LH3SHEIN","bundle":"https://pith.science/pith/KXYU2EZE7VQ6X5CEW6LH3SHEIN/bundle.json","state":"https://pith.science/pith/KXYU2EZE7VQ6X5CEW6LH3SHEIN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KXYU2EZE7VQ6X5CEW6LH3SHEIN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:KXYU2EZE7VQ6X5CEW6LH3SHEIN","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":"8e66468a1b54c936903804a9a3fae273d2ae39515a1cd5d193411c5e63c049ca","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-10-24T17:55:27Z","title_canon_sha256":"c3fc36f6b46eec119426e6951224b2cab8db5e25feeb23e56d1545f67eaacf2d"},"schema_version":"1.0","source":{"id":"1910.11321","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.11321","created_at":"2026-07-05T00:14:42Z"},{"alias_kind":"arxiv_version","alias_value":"1910.11321v1","created_at":"2026-07-05T00:14:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.11321","created_at":"2026-07-05T00:14:42Z"},{"alias_kind":"pith_short_12","alias_value":"KXYU2EZE7VQ6","created_at":"2026-07-05T00:14:42Z"},{"alias_kind":"pith_short_16","alias_value":"KXYU2EZE7VQ6X5CE","created_at":"2026-07-05T00:14:42Z"},{"alias_kind":"pith_short_8","alias_value":"KXYU2EZE","created_at":"2026-07-05T00:14:42Z"}],"graph_snapshots":[{"event_id":"sha256:84e33d55d01a8bc71a4ae145fc29f748f6b6ceca71c0f72781ba1205ce67d237","target":"graph","created_at":"2026-07-05T00:14:42Z","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/1910.11321/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For any elliptic K3 surface $\\mathfrak{F}: \\mathcal{K} \\rightarrow \\mathbb{P}^1$, we construct a family of collapsing Ricci-flat K\\\"ahler metrics such that curvatures are uniformly bounded away from singular fibers, and which Gromov-Hausdorff limit to $\\mathbb{P}^1$ equipped with the McLean metric. There are well-known examples of this type of collapsing, but the key point of our construction is that we can additionally give a precise description of the metric degeneration near each type of singular fiber, without any restriction on the types of singular fibers.","authors_text":"Gao Chen, Jeff Viaclovsky, Ruobing Zhang","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-10-24T17:55:27Z","title":"Collapsing Ricci-flat metrics on elliptic K3 surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.11321","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":"sha256:6cd99ab3b10800e341edb1d9d30021d80ca23d385da1fe88630b393021f81ce8","target":"record","created_at":"2026-07-05T00:14:42Z","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":"8e66468a1b54c936903804a9a3fae273d2ae39515a1cd5d193411c5e63c049ca","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-10-24T17:55:27Z","title_canon_sha256":"c3fc36f6b46eec119426e6951224b2cab8db5e25feeb23e56d1545f67eaacf2d"},"schema_version":"1.0","source":{"id":"1910.11321","kind":"arxiv","version":1}},"canonical_sha256":"55f14d1324fd61ebf444b7967dc8e4435115be9b4a5fe9e9d1b8631dea30f184","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55f14d1324fd61ebf444b7967dc8e4435115be9b4a5fe9e9d1b8631dea30f184","first_computed_at":"2026-07-05T00:14:42.390073Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:14:42.390073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4+1PFLj0HMS1klwPV0if/45bslCzA2wEQO/3azTlrtP5IWUtAKGXpiu4d+v2r7KKjsDDJNa0wg/yoWhSL6Y1CA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:14:42.390491Z","signed_message":"canonical_sha256_bytes"},"source_id":"1910.11321","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6cd99ab3b10800e341edb1d9d30021d80ca23d385da1fe88630b393021f81ce8","sha256:84e33d55d01a8bc71a4ae145fc29f748f6b6ceca71c0f72781ba1205ce67d237"],"state_sha256":"15072a4f2c9bfee7021516203606ece18b077fec409220a6a22e1463ca913ded"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gOJI7LryFxy3yEed3qgh8KlY7oqbr0tRolryG30r4vYQq4fuYptHMsa2gt7/sslhThqiFFRR6KzTJaZS9qbxDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T18:56:36.247210Z","bundle_sha256":"d31b72f85d2260ea1c09151bae59ab170a1328c798d97f83c973491ae907f48b"}}