{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CGYEPJLCQVHOTS4LGNVU4S6VHZ","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":"3e43097e0c255074250622e2f53be765e0afb6b14356fa0827d656c927f3f3b9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-07T01:41:24Z","title_canon_sha256":"686a3acc7e5d2a9ea8e3013f8e674274b120afaebb58153d41210a8598a7d390"},"schema_version":"1.0","source":{"id":"1705.02542","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.02542","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"arxiv_version","alias_value":"1705.02542v1","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.02542","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"pith_short_12","alias_value":"CGYEPJLCQVHO","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CGYEPJLCQVHOTS4L","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CGYEPJLC","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:4abbf033defc40a3d4f04e483f71fd565d071bcefa36f098eebc07e383e17654","target":"graph","created_at":"2026-05-17T23:53:52Z","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":"Given a sequence of regular planar domains converging in the sense of kernel, we prove that the corresponding Green's functions converge uniformly on the complex sphere, provided the limit domain is also regular, and the connectivity is uniformly bounded.","authors_text":"Leonid V. Kovalev, Sergei Kalmykov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-07T01:41:24Z","title":"Uniform convergence of Green's functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.02542","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:aa75ae946accaf6e1b05bed0eefe33420650c43d4a0cd66a0c67e43ccf60f62d","target":"record","created_at":"2026-05-17T23:53:52Z","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":"3e43097e0c255074250622e2f53be765e0afb6b14356fa0827d656c927f3f3b9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-07T01:41:24Z","title_canon_sha256":"686a3acc7e5d2a9ea8e3013f8e674274b120afaebb58153d41210a8598a7d390"},"schema_version":"1.0","source":{"id":"1705.02542","kind":"arxiv","version":1}},"canonical_sha256":"11b047a562854ee9cb8b336b4e4bd53e53fac239ff5f2de18b347884768dd688","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11b047a562854ee9cb8b336b4e4bd53e53fac239ff5f2de18b347884768dd688","first_computed_at":"2026-05-17T23:53:52.316091Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:52.316091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6F/zX/CCR6RiyHWL7hMZKhuHde1lfyfgABxBEW1VXZQlWNalPPVQMWefbnX0qZZiVaBxmlt/8gx9Qin27Z31AA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:52.316878Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.02542","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa75ae946accaf6e1b05bed0eefe33420650c43d4a0cd66a0c67e43ccf60f62d","sha256:4abbf033defc40a3d4f04e483f71fd565d071bcefa36f098eebc07e383e17654"],"state_sha256":"b007209a40d13fe9c637c85f33af9f2b56ef3991344ae27def414946cc62fe20"}