{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SJKEX3MAVQICJQLYP5NF4N5DFX","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":"be5a9d6026f6a8d0de60fe7c242a5f1d9ff5d65eb3377bb89b08f97fa8718ede","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-10-27T12:05:41Z","title_canon_sha256":"255c61f898d7cf1cc0f2669e8260e1ada46fb313596e035d17c754e5c3e00f51"},"schema_version":"1.0","source":{"id":"1610.08731","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.08731","created_at":"2026-05-18T01:01:07Z"},{"alias_kind":"arxiv_version","alias_value":"1610.08731v1","created_at":"2026-05-18T01:01:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.08731","created_at":"2026-05-18T01:01:07Z"},{"alias_kind":"pith_short_12","alias_value":"SJKEX3MAVQIC","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SJKEX3MAVQICJQLY","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SJKEX3MA","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:6e383bfbf0cd933f0e81d608ca51ddcfbf7ba7e47576b3bae1166a5e401dc787","target":"graph","created_at":"2026-05-18T01:01:07Z","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 study weighted Bergman projections on the Hartogs triangle in $\\mathbb{C}^2$. We show that projections corresponding to exponentially vanishing weights have degenerate $L^p$ mapping properties.","authors_text":"Liwei Chen, Yunus E. Zeytuncu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-10-27T12:05:41Z","title":"Weighted Bergman Projections on the Hartogs Triangle: Exponential Decay"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.08731","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":"sha256:02f3a18b16c37fd28cc06f973d652e65a16816c70aedd0011400be926ae4244d","target":"record","created_at":"2026-05-18T01:01:07Z","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":"be5a9d6026f6a8d0de60fe7c242a5f1d9ff5d65eb3377bb89b08f97fa8718ede","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-10-27T12:05:41Z","title_canon_sha256":"255c61f898d7cf1cc0f2669e8260e1ada46fb313596e035d17c754e5c3e00f51"},"schema_version":"1.0","source":{"id":"1610.08731","kind":"arxiv","version":1}},"canonical_sha256":"92544bed80ac1024c1787f5a5e37a32dc860f193686ecb51788e0fbbd8f9195b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92544bed80ac1024c1787f5a5e37a32dc860f193686ecb51788e0fbbd8f9195b","first_computed_at":"2026-05-18T01:01:07.401594Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:07.401594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M2Dt9vc7qtV0yGv++KeQqi8mb97j2Xb7Gm5p95719Pb0uJnee2hql6IhBsF4iKdlV3NIv7TEcBMMcPvdU3KmBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:07.402205Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.08731","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02f3a18b16c37fd28cc06f973d652e65a16816c70aedd0011400be926ae4244d","sha256:6e383bfbf0cd933f0e81d608ca51ddcfbf7ba7e47576b3bae1166a5e401dc787"],"state_sha256":"5df1adad382a8bc16f9f3bb232e586c53090990b7d8113bb2f33581d381c3226"}