{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:KOGO53LQZU7XDJCHKYF6YSAF45","short_pith_number":"pith:KOGO53LQ","canonical_record":{"source":{"id":"1610.03087","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-10-07T09:38:52Z","cross_cats_sorted":["math.AP","math.DG"],"title_canon_sha256":"d3c36293f1dd7d062427d695e5a9c5674c968d41dd6f5cfe50c48b7744c451b2","abstract_canon_sha256":"813fa8829049aaa18b812c32b5eecd5901dd6467984317e37363cb5f81d856d0"},"schema_version":"1.0"},"canonical_sha256":"538ceeed70cd3f71a447560bec4805e74048099c337b6e293dd32f22638df0d4","source":{"kind":"arxiv","id":"1610.03087","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.03087","created_at":"2026-05-18T01:02:49Z"},{"alias_kind":"arxiv_version","alias_value":"1610.03087v1","created_at":"2026-05-18T01:02:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.03087","created_at":"2026-05-18T01:02:49Z"},{"alias_kind":"pith_short_12","alias_value":"KOGO53LQZU7X","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KOGO53LQZU7XDJCH","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KOGO53LQ","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:KOGO53LQZU7XDJCHKYF6YSAF45","target":"record","payload":{"canonical_record":{"source":{"id":"1610.03087","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-10-07T09:38:52Z","cross_cats_sorted":["math.AP","math.DG"],"title_canon_sha256":"d3c36293f1dd7d062427d695e5a9c5674c968d41dd6f5cfe50c48b7744c451b2","abstract_canon_sha256":"813fa8829049aaa18b812c32b5eecd5901dd6467984317e37363cb5f81d856d0"},"schema_version":"1.0"},"canonical_sha256":"538ceeed70cd3f71a447560bec4805e74048099c337b6e293dd32f22638df0d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:49.637878Z","signature_b64":"hjn5kgBuFVA5tBrNSzlMIHSqb0w4/2Wc3xNO1T5+5Ohs8dnUORPBT3S7+/8Roo32VeTkgchamx/IjHlx9XjxAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"538ceeed70cd3f71a447560bec4805e74048099c337b6e293dd32f22638df0d4","last_reissued_at":"2026-05-18T01:02:49.637435Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:49.637435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.03087","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":"2026-05-18T01:02:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"frcvJ2wb5xb6mJC/YWj0yqrqBCbV/hOYZEN243a+u9kIh7rM+ed/EFLmoG5dshGWJSkFi8nWLNbSG6IZzfbVCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T09:28:01.809003Z"},"content_sha256":"7975dc5e5b11696dc5719f541674c8c1e29dc6d1b34d663e8ecf934a519f8a82","schema_version":"1.0","event_id":"sha256:7975dc5e5b11696dc5719f541674c8c1e29dc6d1b34d663e8ecf934a519f8a82"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:KOGO53LQZU7XDJCHKYF6YSAF45","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Erratum to Viscosity solutions to complex Monge-Amp\\`ere equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.DG"],"primary_cat":"math.CV","authors_text":"Ahmed Zeriahi, Philippe Eyssidieux, Vincent Guedj","submitted_at":"2016-10-07T09:38:52Z","abstract_excerpt":"The proof of the comparison principlein [EGZ11] is not complete. We provide here an alternative proof, valid in the ample locus of any big cohomology class, and discuss the resulting modifications."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03087","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":"2026-05-18T01:02:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dsddZLXuzQBMnME/V4tMoyjDI52VrxP1pIJRghzB9NzM5Bk0URuMnrFvjOQDk7npeJ8Q6c90UtDFViczX//RCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T09:28:01.809364Z"},"content_sha256":"96c6422b7729409f2d945620b8cbed00755857e95ba517419c5b2138bd982c46","schema_version":"1.0","event_id":"sha256:96c6422b7729409f2d945620b8cbed00755857e95ba517419c5b2138bd982c46"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KOGO53LQZU7XDJCHKYF6YSAF45/bundle.json","state_url":"https://pith.science/pith/KOGO53LQZU7XDJCHKYF6YSAF45/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KOGO53LQZU7XDJCHKYF6YSAF45/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":"2026-06-25T09:28:01Z","links":{"resolver":"https://pith.science/pith/KOGO53LQZU7XDJCHKYF6YSAF45","bundle":"https://pith.science/pith/KOGO53LQZU7XDJCHKYF6YSAF45/bundle.json","state":"https://pith.science/pith/KOGO53LQZU7XDJCHKYF6YSAF45/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KOGO53LQZU7XDJCHKYF6YSAF45/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KOGO53LQZU7XDJCHKYF6YSAF45","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":"813fa8829049aaa18b812c32b5eecd5901dd6467984317e37363cb5f81d856d0","cross_cats_sorted":["math.AP","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-10-07T09:38:52Z","title_canon_sha256":"d3c36293f1dd7d062427d695e5a9c5674c968d41dd6f5cfe50c48b7744c451b2"},"schema_version":"1.0","source":{"id":"1610.03087","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.03087","created_at":"2026-05-18T01:02:49Z"},{"alias_kind":"arxiv_version","alias_value":"1610.03087v1","created_at":"2026-05-18T01:02:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.03087","created_at":"2026-05-18T01:02:49Z"},{"alias_kind":"pith_short_12","alias_value":"KOGO53LQZU7X","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KOGO53LQZU7XDJCH","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KOGO53LQ","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:96c6422b7729409f2d945620b8cbed00755857e95ba517419c5b2138bd982c46","target":"graph","created_at":"2026-05-18T01:02:49Z","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":"The proof of the comparison principlein [EGZ11] is not complete. We provide here an alternative proof, valid in the ample locus of any big cohomology class, and discuss the resulting modifications.","authors_text":"Ahmed Zeriahi, Philippe Eyssidieux, Vincent Guedj","cross_cats":["math.AP","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-10-07T09:38:52Z","title":"Erratum to Viscosity solutions to complex Monge-Amp\\`ere equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03087","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":"sha256:7975dc5e5b11696dc5719f541674c8c1e29dc6d1b34d663e8ecf934a519f8a82","target":"record","created_at":"2026-05-18T01:02:49Z","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":"813fa8829049aaa18b812c32b5eecd5901dd6467984317e37363cb5f81d856d0","cross_cats_sorted":["math.AP","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-10-07T09:38:52Z","title_canon_sha256":"d3c36293f1dd7d062427d695e5a9c5674c968d41dd6f5cfe50c48b7744c451b2"},"schema_version":"1.0","source":{"id":"1610.03087","kind":"arxiv","version":1}},"canonical_sha256":"538ceeed70cd3f71a447560bec4805e74048099c337b6e293dd32f22638df0d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"538ceeed70cd3f71a447560bec4805e74048099c337b6e293dd32f22638df0d4","first_computed_at":"2026-05-18T01:02:49.637435Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:49.637435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hjn5kgBuFVA5tBrNSzlMIHSqb0w4/2Wc3xNO1T5+5Ohs8dnUORPBT3S7+/8Roo32VeTkgchamx/IjHlx9XjxAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:49.637878Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.03087","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7975dc5e5b11696dc5719f541674c8c1e29dc6d1b34d663e8ecf934a519f8a82","sha256:96c6422b7729409f2d945620b8cbed00755857e95ba517419c5b2138bd982c46"],"state_sha256":"57fd170f2163c9c3f4f1256073ed8aad3425334a5e0ac542a02ace5334f6715f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xZXRrKOIdpjJQwzx7Qd9VW5rwsoE68Sd7xP7H9t8ZIwuPRk7nkEs4nhjswfBI9TZ0grW1CHhwYHuQB9d5x/DBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T09:28:01.811329Z","bundle_sha256":"17e4721d4f729a69731bdb468b4621e4914e94fc68bb14980da4f718e5ba168f"}}