{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:KOSK4PMOGPC2P3OBITSAARIDJC","short_pith_number":"pith:KOSK4PMO","canonical_record":{"source":{"id":"1309.0180","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-09-01T04:51:38Z","cross_cats_sorted":[],"title_canon_sha256":"b5e0a7a14b9e1d0ea62b31b34338d30e695b93ca56a00cb742ed5607cf947479","abstract_canon_sha256":"cef7b0601e4676f2f937f16ece0f0b881075d8bb404c1a7bda1cf883a475875d"},"schema_version":"1.0"},"canonical_sha256":"53a4ae3d8e33c5a7edc144e4004503488bbd7b5b594aa48eb804c76628889d01","source":{"kind":"arxiv","id":"1309.0180","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.0180","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"arxiv_version","alias_value":"1309.0180v2","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0180","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"pith_short_12","alias_value":"KOSK4PMOGPC2","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KOSK4PMOGPC2P3OB","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KOSK4PMO","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:KOSK4PMOGPC2P3OBITSAARIDJC","target":"record","payload":{"canonical_record":{"source":{"id":"1309.0180","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-09-01T04:51:38Z","cross_cats_sorted":[],"title_canon_sha256":"b5e0a7a14b9e1d0ea62b31b34338d30e695b93ca56a00cb742ed5607cf947479","abstract_canon_sha256":"cef7b0601e4676f2f937f16ece0f0b881075d8bb404c1a7bda1cf883a475875d"},"schema_version":"1.0"},"canonical_sha256":"53a4ae3d8e33c5a7edc144e4004503488bbd7b5b594aa48eb804c76628889d01","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:30.780092Z","signature_b64":"YRrkokXVLZE4S7rTJ/pD4YQ0s6xT7oaX0gthcriZyTnhiySoSj0lXRmxno0c5Uf2ECjifJzMOXZwQlDkysHrAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53a4ae3d8e33c5a7edc144e4004503488bbd7b5b594aa48eb804c76628889d01","last_reissued_at":"2026-05-18T00:51:30.779603Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:30.779603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.0180","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AsJOZy6yszrALkBS1JnLjFyAtIdg6KxOj/ia7LxDT15HWzO5gATevpKPx4ZFr+zOeTy4UTxuxjm/Y9aA7DIyAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T08:05:01.265854Z"},"content_sha256":"3b1b3d9d4105a3c02215489593230118fc4da25c26fbd5b08ad387c8e486b67a","schema_version":"1.0","event_id":"sha256:3b1b3d9d4105a3c02215489593230118fc4da25c26fbd5b08ad387c8e486b67a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:KOSK4PMOGPC2P3OBITSAARIDJC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Removable singularities of the CscK metric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Yu Zeng","submitted_at":"2013-09-01T04:51:38Z","abstract_excerpt":"In this paper, we consider a CscK metric defined away from divisor and with metric upper bound and lower bound going to zero in certain rate. And we'll prove that this \"nicely\" behaved metric is a smooth CscK metric across the divisor."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0180","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":""},"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":"2026-05-18T00:51:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TyoXgIROXh+wOzgUjrRAi22LWfWX+B0AgLiJSGPkx62A0xED0Ld2sTDU8PANjEarhN43XnKDFLCHn6vhPZW8CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T08:05:01.266604Z"},"content_sha256":"bd95b9c55c5f8e38a0b93001920d6f5e201adb4922d81d5629fcb1b80d9a5a52","schema_version":"1.0","event_id":"sha256:bd95b9c55c5f8e38a0b93001920d6f5e201adb4922d81d5629fcb1b80d9a5a52"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KOSK4PMOGPC2P3OBITSAARIDJC/bundle.json","state_url":"https://pith.science/pith/KOSK4PMOGPC2P3OBITSAARIDJC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KOSK4PMOGPC2P3OBITSAARIDJC/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":"2026-06-11T08:05:01Z","links":{"resolver":"https://pith.science/pith/KOSK4PMOGPC2P3OBITSAARIDJC","bundle":"https://pith.science/pith/KOSK4PMOGPC2P3OBITSAARIDJC/bundle.json","state":"https://pith.science/pith/KOSK4PMOGPC2P3OBITSAARIDJC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KOSK4PMOGPC2P3OBITSAARIDJC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KOSK4PMOGPC2P3OBITSAARIDJC","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":"cef7b0601e4676f2f937f16ece0f0b881075d8bb404c1a7bda1cf883a475875d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-09-01T04:51:38Z","title_canon_sha256":"b5e0a7a14b9e1d0ea62b31b34338d30e695b93ca56a00cb742ed5607cf947479"},"schema_version":"1.0","source":{"id":"1309.0180","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.0180","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"arxiv_version","alias_value":"1309.0180v2","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0180","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"pith_short_12","alias_value":"KOSK4PMOGPC2","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KOSK4PMOGPC2P3OB","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KOSK4PMO","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:bd95b9c55c5f8e38a0b93001920d6f5e201adb4922d81d5629fcb1b80d9a5a52","target":"graph","created_at":"2026-05-18T00:51:30Z","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":"In this paper, we consider a CscK metric defined away from divisor and with metric upper bound and lower bound going to zero in certain rate. And we'll prove that this \"nicely\" behaved metric is a smooth CscK metric across the divisor.","authors_text":"Yu Zeng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-09-01T04:51:38Z","title":"Removable singularities of the CscK metric"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0180","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":"sha256:3b1b3d9d4105a3c02215489593230118fc4da25c26fbd5b08ad387c8e486b67a","target":"record","created_at":"2026-05-18T00:51:30Z","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":"cef7b0601e4676f2f937f16ece0f0b881075d8bb404c1a7bda1cf883a475875d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-09-01T04:51:38Z","title_canon_sha256":"b5e0a7a14b9e1d0ea62b31b34338d30e695b93ca56a00cb742ed5607cf947479"},"schema_version":"1.0","source":{"id":"1309.0180","kind":"arxiv","version":2}},"canonical_sha256":"53a4ae3d8e33c5a7edc144e4004503488bbd7b5b594aa48eb804c76628889d01","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53a4ae3d8e33c5a7edc144e4004503488bbd7b5b594aa48eb804c76628889d01","first_computed_at":"2026-05-18T00:51:30.779603Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:30.779603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YRrkokXVLZE4S7rTJ/pD4YQ0s6xT7oaX0gthcriZyTnhiySoSj0lXRmxno0c5Uf2ECjifJzMOXZwQlDkysHrAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:30.780092Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.0180","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b1b3d9d4105a3c02215489593230118fc4da25c26fbd5b08ad387c8e486b67a","sha256:bd95b9c55c5f8e38a0b93001920d6f5e201adb4922d81d5629fcb1b80d9a5a52"],"state_sha256":"3763aff04b96167ab43808168ddeafeff782703aaf06518809cecd7d96fc1c69"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n0gos/EcVRTpplFpikWhjJkbIDm8LzgDEnWBe9EGGHVtbxhIK9NsSS/Nc2+pX2IFJf0u6bwg19vjCO3ILSaQBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T08:05:01.271426Z","bundle_sha256":"bd9c91bb9bb0f443ee415961768f2ae3b3b0f1083aace4816237d6764e5c91df"}}