{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:STGU7WKNFTA47TG74AVLDDNOLC","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":"793a4ff703c1e2d26cf446b9a230eacefe8b20830dcff204dbbfa00844125cd8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-03-13T02:16:42Z","title_canon_sha256":"8cd41eecad8fb791bb643182fd408386bedd5ec9001b06edf0e7d93249ffc5af"},"schema_version":"1.0","source":{"id":"1803.04598","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.04598","created_at":"2026-05-18T00:21:18Z"},{"alias_kind":"arxiv_version","alias_value":"1803.04598v1","created_at":"2026-05-18T00:21:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.04598","created_at":"2026-05-18T00:21:18Z"},{"alias_kind":"pith_short_12","alias_value":"STGU7WKNFTA4","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"STGU7WKNFTA47TG7","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"STGU7WKN","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:236c0ced4c29fa75aed9f18f0ceb428011ad1532cf13bedf51bcd45101e866a4","target":"graph","created_at":"2026-05-18T00:21:18Z","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":"Baker proved that for transcendental entire functions there is at most one completely invariant component of the Fatou set. It was observed by Julien Duval that there is a missing case in Baker's proof. In this article we follow Baker's ideas and give some alternative arguments to establish the result.","authors_text":"Guillermo Sienra, Patricia Dom\\'inguez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-03-13T02:16:42Z","title":"A complementary proof of Baker's theorem of completely invariant components for transcendental entire functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.04598","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:d077afd0ff2d221aad2b05922afd3af243aacd0e77bb453980d01c9937797932","target":"record","created_at":"2026-05-18T00:21:18Z","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":"793a4ff703c1e2d26cf446b9a230eacefe8b20830dcff204dbbfa00844125cd8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-03-13T02:16:42Z","title_canon_sha256":"8cd41eecad8fb791bb643182fd408386bedd5ec9001b06edf0e7d93249ffc5af"},"schema_version":"1.0","source":{"id":"1803.04598","kind":"arxiv","version":1}},"canonical_sha256":"94cd4fd94d2cc1cfccdfe02ab18dae588096272db37a58b124726109f0bd5b4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94cd4fd94d2cc1cfccdfe02ab18dae588096272db37a58b124726109f0bd5b4e","first_computed_at":"2026-05-18T00:21:18.523359Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:18.523359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"edas/1+qJpYLwP9CQggSZqAK2vT0A3r52Ag+b3X5yytOJgdF4irJMk4r5u7fvOpXA23LF3NSUl5GXsHLYaqfDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:18.523886Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.04598","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d077afd0ff2d221aad2b05922afd3af243aacd0e77bb453980d01c9937797932","sha256:236c0ced4c29fa75aed9f18f0ceb428011ad1532cf13bedf51bcd45101e866a4"],"state_sha256":"dbe031aeba8f5de44261f58c83f849203e130de2bd258c3d665b51748250b032"}