{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:RR6XTV6YPQ4ZFCOUXLWC7NVCLF","short_pith_number":"pith:RR6XTV6Y","canonical_record":{"source":{"id":"1604.02648","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-04-10T07:10:10Z","cross_cats_sorted":[],"title_canon_sha256":"773f10a0bbac3ebbe096995528242ebe51875028e81c4f81ecf4b55d896e4654","abstract_canon_sha256":"58f13b9f806a380f2999f7e1f9660d8a1d2b4a96c46a7d7fe45aa76fcdaf2d5c"},"schema_version":"1.0"},"canonical_sha256":"8c7d79d7d87c399289d4baec2fb6a2596142ac8b8bff972ae562f33debab11e4","source":{"kind":"arxiv","id":"1604.02648","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02648","created_at":"2026-05-18T01:17:22Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02648v1","created_at":"2026-05-18T01:17:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02648","created_at":"2026-05-18T01:17:22Z"},{"alias_kind":"pith_short_12","alias_value":"RR6XTV6YPQ4Z","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RR6XTV6YPQ4ZFCOU","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RR6XTV6Y","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:RR6XTV6YPQ4ZFCOUXLWC7NVCLF","target":"record","payload":{"canonical_record":{"source":{"id":"1604.02648","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-04-10T07:10:10Z","cross_cats_sorted":[],"title_canon_sha256":"773f10a0bbac3ebbe096995528242ebe51875028e81c4f81ecf4b55d896e4654","abstract_canon_sha256":"58f13b9f806a380f2999f7e1f9660d8a1d2b4a96c46a7d7fe45aa76fcdaf2d5c"},"schema_version":"1.0"},"canonical_sha256":"8c7d79d7d87c399289d4baec2fb6a2596142ac8b8bff972ae562f33debab11e4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:22.533000Z","signature_b64":"N/v4bv/9cZBKyPyp6AH+ea3qA7AAabbQICftrK6S526ivpc4GLsxZGdiTrtLmboT0afzIhRpbWQIQf8PdVzjCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c7d79d7d87c399289d4baec2fb6a2596142ac8b8bff972ae562f33debab11e4","last_reissued_at":"2026-05-18T01:17:22.532637Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:22.532637Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.02648","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":"2026-05-18T01:17:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZCYzWh4g8eDzHdN5ob9UBSpt+UfL+fgy9Aj1bJLAhGGBLOYKTNq8zKp1bTPJD6P9IVrjf5hnlAM2SRXh1YIIAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:36:53.058040Z"},"content_sha256":"1dfce8401bc8a552c32a41bce44f1b209aaaa23a2f077ffdfb82545d2d2b6321","schema_version":"1.0","event_id":"sha256:1dfce8401bc8a552c32a41bce44f1b209aaaa23a2f077ffdfb82545d2d2b6321"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:RR6XTV6YPQ4ZFCOUXLWC7NVCLF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The singular set of triholomorphic maps into quartic K3 surface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jiayu Li, Ling He","submitted_at":"2016-04-10T07:10:10Z","abstract_excerpt":"We prove that any weakly triholomorphic map from a compact hyperk\\\"ahler surface to an algebraic K3 surface defined by a homogeneous polynomial of degree 4 in $\\mathbb{C}P^3$ has only isolated singularities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02648","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":"2026-05-18T01:17:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XYwdFYHNc9N6VDO/7im3SBLYKrNUWrTSGhVUGez43QSS9LheOWqCEPU8Pfc7zWjPe8FH9gUmezlZG7JVDIn+BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:36:53.058763Z"},"content_sha256":"1fc461880e0a851be9d81bb083748f00a925474c7233d9d9ca2c311391fbdcce","schema_version":"1.0","event_id":"sha256:1fc461880e0a851be9d81bb083748f00a925474c7233d9d9ca2c311391fbdcce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RR6XTV6YPQ4ZFCOUXLWC7NVCLF/bundle.json","state_url":"https://pith.science/pith/RR6XTV6YPQ4ZFCOUXLWC7NVCLF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RR6XTV6YPQ4ZFCOUXLWC7NVCLF/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":"2026-05-25T22:36:53Z","links":{"resolver":"https://pith.science/pith/RR6XTV6YPQ4ZFCOUXLWC7NVCLF","bundle":"https://pith.science/pith/RR6XTV6YPQ4ZFCOUXLWC7NVCLF/bundle.json","state":"https://pith.science/pith/RR6XTV6YPQ4ZFCOUXLWC7NVCLF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RR6XTV6YPQ4ZFCOUXLWC7NVCLF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RR6XTV6YPQ4ZFCOUXLWC7NVCLF","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":"58f13b9f806a380f2999f7e1f9660d8a1d2b4a96c46a7d7fe45aa76fcdaf2d5c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-04-10T07:10:10Z","title_canon_sha256":"773f10a0bbac3ebbe096995528242ebe51875028e81c4f81ecf4b55d896e4654"},"schema_version":"1.0","source":{"id":"1604.02648","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02648","created_at":"2026-05-18T01:17:22Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02648v1","created_at":"2026-05-18T01:17:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02648","created_at":"2026-05-18T01:17:22Z"},{"alias_kind":"pith_short_12","alias_value":"RR6XTV6YPQ4Z","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RR6XTV6YPQ4ZFCOU","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RR6XTV6Y","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:1fc461880e0a851be9d81bb083748f00a925474c7233d9d9ca2c311391fbdcce","target":"graph","created_at":"2026-05-18T01:17:22Z","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":"We prove that any weakly triholomorphic map from a compact hyperk\\\"ahler surface to an algebraic K3 surface defined by a homogeneous polynomial of degree 4 in $\\mathbb{C}P^3$ has only isolated singularities.","authors_text":"Jiayu Li, Ling He","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-04-10T07:10:10Z","title":"The singular set of triholomorphic maps into quartic K3 surface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02648","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":"sha256:1dfce8401bc8a552c32a41bce44f1b209aaaa23a2f077ffdfb82545d2d2b6321","target":"record","created_at":"2026-05-18T01:17:22Z","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":"58f13b9f806a380f2999f7e1f9660d8a1d2b4a96c46a7d7fe45aa76fcdaf2d5c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-04-10T07:10:10Z","title_canon_sha256":"773f10a0bbac3ebbe096995528242ebe51875028e81c4f81ecf4b55d896e4654"},"schema_version":"1.0","source":{"id":"1604.02648","kind":"arxiv","version":1}},"canonical_sha256":"8c7d79d7d87c399289d4baec2fb6a2596142ac8b8bff972ae562f33debab11e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c7d79d7d87c399289d4baec2fb6a2596142ac8b8bff972ae562f33debab11e4","first_computed_at":"2026-05-18T01:17:22.532637Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:22.532637Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N/v4bv/9cZBKyPyp6AH+ea3qA7AAabbQICftrK6S526ivpc4GLsxZGdiTrtLmboT0afzIhRpbWQIQf8PdVzjCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:22.533000Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.02648","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1dfce8401bc8a552c32a41bce44f1b209aaaa23a2f077ffdfb82545d2d2b6321","sha256:1fc461880e0a851be9d81bb083748f00a925474c7233d9d9ca2c311391fbdcce"],"state_sha256":"2700d455ac9fc3698d7bb5a5107beb78f49b20746a7ef19a3a169dfa0c861dee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/JN3ew6KqtokEf516+TAztH3LlhzR1rVBgGu12nu5NgDAZtiY334iz27SsWyYUtamtfUnen7c8KQCEK2Bj36Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:36:53.062842Z","bundle_sha256":"8271fd39f4aef689f15df46b17a5e63056bf3751be0ef70b2d98329f29e6b213"}}