{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:IHP7U7JZTUDG4ORSPBMO4MBX6F","short_pith_number":"pith:IHP7U7JZ","canonical_record":{"source":{"id":"1608.00364","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-08-01T09:27:48Z","cross_cats_sorted":[],"title_canon_sha256":"9e33404f8a7700fbd7e6a0e6b3a387c4c5e84700e9637f51a8d933a7b13ac9ec","abstract_canon_sha256":"c568482babb8b657f96b454cfa03fdd45eceda12c51737e498c2ca45add5be90"},"schema_version":"1.0"},"canonical_sha256":"41dffa7d399d066e3a327858ee3037f17e21ba4ee6d61121c4847cc5ce071210","source":{"kind":"arxiv","id":"1608.00364","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.00364","created_at":"2026-05-18T01:09:12Z"},{"alias_kind":"arxiv_version","alias_value":"1608.00364v2","created_at":"2026-05-18T01:09:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.00364","created_at":"2026-05-18T01:09:12Z"},{"alias_kind":"pith_short_12","alias_value":"IHP7U7JZTUDG","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IHP7U7JZTUDG4ORS","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IHP7U7JZ","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:IHP7U7JZTUDG4ORSPBMO4MBX6F","target":"record","payload":{"canonical_record":{"source":{"id":"1608.00364","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-08-01T09:27:48Z","cross_cats_sorted":[],"title_canon_sha256":"9e33404f8a7700fbd7e6a0e6b3a387c4c5e84700e9637f51a8d933a7b13ac9ec","abstract_canon_sha256":"c568482babb8b657f96b454cfa03fdd45eceda12c51737e498c2ca45add5be90"},"schema_version":"1.0"},"canonical_sha256":"41dffa7d399d066e3a327858ee3037f17e21ba4ee6d61121c4847cc5ce071210","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:12.499466Z","signature_b64":"gMbQ/a+mXQhrnGCjUxg7fyhx+JMSiKTWowq9VIwEJL0Mli/8ronu9F1EeM7kRRlnxySZ2gBYBkZUTJtZ4TkWBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41dffa7d399d066e3a327858ee3037f17e21ba4ee6d61121c4847cc5ce071210","last_reissued_at":"2026-05-18T01:09:12.498902Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:12.498902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.00364","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":"2026-05-18T01:09:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NQ1ir931+HKwk5ITJyYuB0qU+UECR6+3Hb07j4MSSyh8Z/OZfncrPIA3ZGgaaohEfRLvrg4aaQWmDWbu7gyABw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T12:38:19.089113Z"},"content_sha256":"5be30d7f2ca2097618783bbe7aae28903f00babbf86f154047654c0f943bd609","schema_version":"1.0","event_id":"sha256:5be30d7f2ca2097618783bbe7aae28903f00babbf86f154047654c0f943bd609"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:IHP7U7JZTUDG4ORSPBMO4MBX6F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Normality of general elephants on 3-fold terminal flips","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jheng-Jie Chen","submitted_at":"2016-08-01T09:27:48Z","abstract_excerpt":"We prove that the general elephant $E_{X^+}\\in |-K_{X^+}|$ is normal where $X--> X^+$ is a 3-fold terminal flip. Hence $E_{X^+}$ has at worst Du Val singularities. \nAs a corollary, there exists no non-Gorenstein singularity of type $cE/2$, $cD/3$, nor $cAx/4$ on the flipped curve $C^+$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00364","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":"2026-05-18T01:09:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OVxkKzUn8ZEvn43HH0sGbnq+ZYiifka/0aoTONRzCS/PGWTALkWctHBnTFrZ7SY3y/82Vr6p1LGpHUsoEwqtBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T12:38:19.089460Z"},"content_sha256":"f648658856dc7922874ff135121112762d7b77f071e9e54c9de7e765379960fb","schema_version":"1.0","event_id":"sha256:f648658856dc7922874ff135121112762d7b77f071e9e54c9de7e765379960fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IHP7U7JZTUDG4ORSPBMO4MBX6F/bundle.json","state_url":"https://pith.science/pith/IHP7U7JZTUDG4ORSPBMO4MBX6F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IHP7U7JZTUDG4ORSPBMO4MBX6F/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":"2026-06-08T12:38:19Z","links":{"resolver":"https://pith.science/pith/IHP7U7JZTUDG4ORSPBMO4MBX6F","bundle":"https://pith.science/pith/IHP7U7JZTUDG4ORSPBMO4MBX6F/bundle.json","state":"https://pith.science/pith/IHP7U7JZTUDG4ORSPBMO4MBX6F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IHP7U7JZTUDG4ORSPBMO4MBX6F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IHP7U7JZTUDG4ORSPBMO4MBX6F","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":"c568482babb8b657f96b454cfa03fdd45eceda12c51737e498c2ca45add5be90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-08-01T09:27:48Z","title_canon_sha256":"9e33404f8a7700fbd7e6a0e6b3a387c4c5e84700e9637f51a8d933a7b13ac9ec"},"schema_version":"1.0","source":{"id":"1608.00364","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.00364","created_at":"2026-05-18T01:09:12Z"},{"alias_kind":"arxiv_version","alias_value":"1608.00364v2","created_at":"2026-05-18T01:09:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.00364","created_at":"2026-05-18T01:09:12Z"},{"alias_kind":"pith_short_12","alias_value":"IHP7U7JZTUDG","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IHP7U7JZTUDG4ORS","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IHP7U7JZ","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:f648658856dc7922874ff135121112762d7b77f071e9e54c9de7e765379960fb","target":"graph","created_at":"2026-05-18T01:09:12Z","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 the general elephant $E_{X^+}\\in |-K_{X^+}|$ is normal where $X--> X^+$ is a 3-fold terminal flip. Hence $E_{X^+}$ has at worst Du Val singularities. \nAs a corollary, there exists no non-Gorenstein singularity of type $cE/2$, $cD/3$, nor $cAx/4$ on the flipped curve $C^+$.","authors_text":"Jheng-Jie Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-08-01T09:27:48Z","title":"Normality of general elephants on 3-fold terminal flips"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00364","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":"sha256:5be30d7f2ca2097618783bbe7aae28903f00babbf86f154047654c0f943bd609","target":"record","created_at":"2026-05-18T01:09:12Z","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":"c568482babb8b657f96b454cfa03fdd45eceda12c51737e498c2ca45add5be90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-08-01T09:27:48Z","title_canon_sha256":"9e33404f8a7700fbd7e6a0e6b3a387c4c5e84700e9637f51a8d933a7b13ac9ec"},"schema_version":"1.0","source":{"id":"1608.00364","kind":"arxiv","version":2}},"canonical_sha256":"41dffa7d399d066e3a327858ee3037f17e21ba4ee6d61121c4847cc5ce071210","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41dffa7d399d066e3a327858ee3037f17e21ba4ee6d61121c4847cc5ce071210","first_computed_at":"2026-05-18T01:09:12.498902Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:12.498902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gMbQ/a+mXQhrnGCjUxg7fyhx+JMSiKTWowq9VIwEJL0Mli/8ronu9F1EeM7kRRlnxySZ2gBYBkZUTJtZ4TkWBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:12.499466Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.00364","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5be30d7f2ca2097618783bbe7aae28903f00babbf86f154047654c0f943bd609","sha256:f648658856dc7922874ff135121112762d7b77f071e9e54c9de7e765379960fb"],"state_sha256":"ed53821136f93f885d9759b269520e539aaf195f014fbe2affe4702c28cb3886"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A+ueqCExUUqoUPxa91v9GTiDKX8sWxA/D7TEDWTHgzAwtffppghzAhqqct+xrXso7az8FTa/rafNDYNCtXtDBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T12:38:19.092060Z","bundle_sha256":"b6d1e4fa2d90771bedb9674ab70cc3a90559c791a8c5a90756e775f55e8be24a"}}