{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ROVFXP2I5EA37Q5BYP62ZRXWVA","short_pith_number":"pith:ROVFXP2I","canonical_record":{"source":{"id":"1811.03017","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-11-07T17:07:59Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"6220a0ce6b1f7606f6e6b4db6bab921389025a03fdc7e994839cfcdb694e9391","abstract_canon_sha256":"81fde2af35f0eea254c408913f5c13819e72bc684d73bcbb5c909ec252e534ab"},"schema_version":"1.0"},"canonical_sha256":"8baa5bbf48e901bfc3a1c3fdacc6f6a81e53e9227411b87d3be73986de62d60c","source":{"kind":"arxiv","id":"1811.03017","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.03017","created_at":"2026-05-18T00:01:20Z"},{"alias_kind":"arxiv_version","alias_value":"1811.03017v1","created_at":"2026-05-18T00:01:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.03017","created_at":"2026-05-18T00:01:20Z"},{"alias_kind":"pith_short_12","alias_value":"ROVFXP2I5EA3","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"ROVFXP2I5EA37Q5B","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"ROVFXP2I","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ROVFXP2I5EA37Q5BYP62ZRXWVA","target":"record","payload":{"canonical_record":{"source":{"id":"1811.03017","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-11-07T17:07:59Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"6220a0ce6b1f7606f6e6b4db6bab921389025a03fdc7e994839cfcdb694e9391","abstract_canon_sha256":"81fde2af35f0eea254c408913f5c13819e72bc684d73bcbb5c909ec252e534ab"},"schema_version":"1.0"},"canonical_sha256":"8baa5bbf48e901bfc3a1c3fdacc6f6a81e53e9227411b87d3be73986de62d60c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:20.134641Z","signature_b64":"j9Xy11FwK6oRmhwRW97TyYsN1QcmtZcqt8tVg7AHhSiMuBincCbG6rni++swxOKWMmI9qVbkU5M7Yu/fedEoAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8baa5bbf48e901bfc3a1c3fdacc6f6a81e53e9227411b87d3be73986de62d60c","last_reissued_at":"2026-05-18T00:01:20.134080Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:20.134080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.03017","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":"2026-05-18T00:01:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UwEV2liM3WQ5UehKIekMMn5CIxJc+nvQZZPBtGDSRHfNxAnXOBTWRxlCyla3jI2Gjz13S22YMn7WuJY/Za57Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T07:02:09.990197Z"},"content_sha256":"779949a78185ee8b3c2fc13dcb6e0b4796d517c73293f7bc5a26a27c10601dd3","schema_version":"1.0","event_id":"sha256:779949a78185ee8b3c2fc13dcb6e0b4796d517c73293f7bc5a26a27c10601dd3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ROVFXP2I5EA37Q5BYP62ZRXWVA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equidistribution of non-pluripolar products associated with quasi-plurisubharmonic functions of finite energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.DS","authors_text":"Ngoc Cuong Nguyen, Taeyong Ahn","submitted_at":"2018-11-07T17:07:59Z","abstract_excerpt":"In this article, we consider currents given by the p-fold non-pluripolar product associated with a quasi-plurisubharmonic function of finite energy, and prove that normalized pull-backs of such currents converge to the Green (p, p)-current exponentially fast in the sense of currents for holomorphic endomorphisms of Pk."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.03017","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":"2026-05-18T00:01:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0w/Mmk+zjrPTB+7zsiMKFzZSINX3sEDeZeFcMyvueVhAiw4z/vdrnpQKPNpKPALdLzfx50v/loZfemnjez6VAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T07:02:09.990754Z"},"content_sha256":"81fa7c68cb2cd6bc485dea6045c17a3896e972a88e20904b52949c87137c3e27","schema_version":"1.0","event_id":"sha256:81fa7c68cb2cd6bc485dea6045c17a3896e972a88e20904b52949c87137c3e27"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ROVFXP2I5EA37Q5BYP62ZRXWVA/bundle.json","state_url":"https://pith.science/pith/ROVFXP2I5EA37Q5BYP62ZRXWVA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ROVFXP2I5EA37Q5BYP62ZRXWVA/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":"2026-06-07T07:02:09Z","links":{"resolver":"https://pith.science/pith/ROVFXP2I5EA37Q5BYP62ZRXWVA","bundle":"https://pith.science/pith/ROVFXP2I5EA37Q5BYP62ZRXWVA/bundle.json","state":"https://pith.science/pith/ROVFXP2I5EA37Q5BYP62ZRXWVA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ROVFXP2I5EA37Q5BYP62ZRXWVA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ROVFXP2I5EA37Q5BYP62ZRXWVA","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":"81fde2af35f0eea254c408913f5c13819e72bc684d73bcbb5c909ec252e534ab","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-11-07T17:07:59Z","title_canon_sha256":"6220a0ce6b1f7606f6e6b4db6bab921389025a03fdc7e994839cfcdb694e9391"},"schema_version":"1.0","source":{"id":"1811.03017","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.03017","created_at":"2026-05-18T00:01:20Z"},{"alias_kind":"arxiv_version","alias_value":"1811.03017v1","created_at":"2026-05-18T00:01:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.03017","created_at":"2026-05-18T00:01:20Z"},{"alias_kind":"pith_short_12","alias_value":"ROVFXP2I5EA3","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"ROVFXP2I5EA37Q5B","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"ROVFXP2I","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:81fa7c68cb2cd6bc485dea6045c17a3896e972a88e20904b52949c87137c3e27","target":"graph","created_at":"2026-05-18T00:01:20Z","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 article, we consider currents given by the p-fold non-pluripolar product associated with a quasi-plurisubharmonic function of finite energy, and prove that normalized pull-backs of such currents converge to the Green (p, p)-current exponentially fast in the sense of currents for holomorphic endomorphisms of Pk.","authors_text":"Ngoc Cuong Nguyen, Taeyong Ahn","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-11-07T17:07:59Z","title":"Equidistribution of non-pluripolar products associated with quasi-plurisubharmonic functions of finite energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.03017","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":"sha256:779949a78185ee8b3c2fc13dcb6e0b4796d517c73293f7bc5a26a27c10601dd3","target":"record","created_at":"2026-05-18T00:01:20Z","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":"81fde2af35f0eea254c408913f5c13819e72bc684d73bcbb5c909ec252e534ab","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-11-07T17:07:59Z","title_canon_sha256":"6220a0ce6b1f7606f6e6b4db6bab921389025a03fdc7e994839cfcdb694e9391"},"schema_version":"1.0","source":{"id":"1811.03017","kind":"arxiv","version":1}},"canonical_sha256":"8baa5bbf48e901bfc3a1c3fdacc6f6a81e53e9227411b87d3be73986de62d60c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8baa5bbf48e901bfc3a1c3fdacc6f6a81e53e9227411b87d3be73986de62d60c","first_computed_at":"2026-05-18T00:01:20.134080Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:20.134080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j9Xy11FwK6oRmhwRW97TyYsN1QcmtZcqt8tVg7AHhSiMuBincCbG6rni++swxOKWMmI9qVbkU5M7Yu/fedEoAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:20.134641Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.03017","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:779949a78185ee8b3c2fc13dcb6e0b4796d517c73293f7bc5a26a27c10601dd3","sha256:81fa7c68cb2cd6bc485dea6045c17a3896e972a88e20904b52949c87137c3e27"],"state_sha256":"eb84dea70ab89d378ae22059b04af70b4d189e85dcacd2b37e093de3c15e9983"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oWFOJO9fa0UDwY1QXQyzTv96o9+/wwbBr5QTcMlZ/148K22LeKGF9HfwZmwlWlXzA2fRHTlIh/N942yCJNJnAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T07:02:09.994068Z","bundle_sha256":"278ae0e8692031f223a29fdb2d56f9d6b56e0899b2a5396cf0803f0a45fccc2e"}}