{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:XKDDWXY5ZTJ7MUWRHVIAXQURBP","short_pith_number":"pith:XKDDWXY5","canonical_record":{"source":{"id":"2605.14429","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2026-05-14T06:20:07Z","cross_cats_sorted":[],"title_canon_sha256":"184689c22548010d7b3ecb9ec1d315bb8604a826bd9648c7466ffe343daee806","abstract_canon_sha256":"82b1624b844681c48c5f46d062eb2fbbd525254c8c3468263f51e57d27da3739"},"schema_version":"1.0"},"canonical_sha256":"ba863b5f1dccd3f652d13d500bc2910bdecc72b88df10c8390a6dd5d5c4ddf53","source":{"kind":"arxiv","id":"2605.14429","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.14429","created_at":"2026-05-17T23:39:07Z"},{"alias_kind":"arxiv_version","alias_value":"2605.14429v1","created_at":"2026-05-17T23:39:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.14429","created_at":"2026-05-17T23:39:07Z"},{"alias_kind":"pith_short_12","alias_value":"XKDDWXY5ZTJ7","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"XKDDWXY5ZTJ7MUWR","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"XKDDWXY5","created_at":"2026-05-18T12:33:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:XKDDWXY5ZTJ7MUWRHVIAXQURBP","target":"record","payload":{"canonical_record":{"source":{"id":"2605.14429","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2026-05-14T06:20:07Z","cross_cats_sorted":[],"title_canon_sha256":"184689c22548010d7b3ecb9ec1d315bb8604a826bd9648c7466ffe343daee806","abstract_canon_sha256":"82b1624b844681c48c5f46d062eb2fbbd525254c8c3468263f51e57d27da3739"},"schema_version":"1.0"},"canonical_sha256":"ba863b5f1dccd3f652d13d500bc2910bdecc72b88df10c8390a6dd5d5c4ddf53","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:07.155994Z","signature_b64":"J8im2PYYIyCAzZ31r8OA3U2VN1ZLwabPE7/taVPac50z00d1oqFICi+zrYHsIVaQTUNVkFto+NsbsvT5DwsRDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba863b5f1dccd3f652d13d500bc2910bdecc72b88df10c8390a6dd5d5c4ddf53","last_reissued_at":"2026-05-17T23:39:07.155289Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:07.155289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.14429","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":"2026-05-17T23:39:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0T4cO5ReI/+06ezCIwybnN1KAU9VoPxJvgu5DVsIcv5oK36/UTwEA3gQJpSdGvYl68swpj6ps5qp1g+gplEtDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T03:24:10.859580Z"},"content_sha256":"0e26a215538b88321bfa2a2517f166064385c6ccaac45b439a37c5af7b2aaf0b","schema_version":"1.0","event_id":"sha256:0e26a215538b88321bfa2a2517f166064385c6ccaac45b439a37c5af7b2aaf0b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:XKDDWXY5ZTJ7MUWRHVIAXQURBP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On some properties of bi-univalent functions in the unit disc","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Grunsky coefficient inequalities yield upper bounds on the initial coefficients, their differences, logarithmic coefficients, and the second Hankel determinant for normalized bi-univalent functions.","cross_cats":[],"primary_cat":"math.CV","authors_text":"Milutin Obradovi\\'c, Nikola Tuneski, Pawe{\\l} Zaprawa","submitted_at":"2026-05-14T06:20:07Z","abstract_excerpt":"In this paper we use a method based on the Grunsky coefficients to find upper bounds of the modulus of the initial coefficients, difference of the moduli of two consecutive initial coefficients, of the modulus of the initial logarithmic coefficient, and of the second Hankel determinant for the class of normalized bi-univalent functions."},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"we use a method based on the Grunsky coefficients to find upper bounds of the modulus of the initial coefficients, difference of the moduli of two consecutive initial coefficients, of the modulus of the initial logarithmic coefficient, and of the second Hankel determinant for the class of normalized bi-univalent functions.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The central derivations assume that the Grunsky coefficient inequalities apply directly and sharply to the bi-univalent case without additional restrictions or that the extremal functions achieving the bounds exist within the normalized bi-univalent class.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Upper bounds are derived via Grunsky coefficients for the moduli of initial coefficients, consecutive coefficient modulus differences, initial logarithmic coefficients, and the second Hankel determinant in the class of normalized bi-univalent functions.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Grunsky coefficient inequalities yield upper bounds on the initial coefficients, their differences, logarithmic coefficients, and the second Hankel determinant for normalized bi-univalent functions.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"39462231404c1de31148e1ff9d58273a3fa4750ab42b6669c5088e7362485609"},"source":{"id":"2605.14429","kind":"arxiv","version":1},"verdict":{"id":"d32e8b8f-3839-4637-97e5-e3d0520c80ad","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T01:39:00.630194Z","strongest_claim":"we use a method based on the Grunsky coefficients to find upper bounds of the modulus of the initial coefficients, difference of the moduli of two consecutive initial coefficients, of the modulus of the initial logarithmic coefficient, and of the second Hankel determinant for the class of normalized bi-univalent functions.","one_line_summary":"Upper bounds are derived via Grunsky coefficients for the moduli of initial coefficients, consecutive coefficient modulus differences, initial logarithmic coefficients, and the second Hankel determinant in the class of normalized bi-univalent functions.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The central derivations assume that the Grunsky coefficient inequalities apply directly and sharply to the bi-univalent case without additional restrictions or that the extremal functions achieving the bounds exist within the normalized bi-univalent class.","pith_extraction_headline":"Grunsky coefficient inequalities yield upper bounds on the initial coefficients, their differences, logarithmic coefficients, and the second Hankel determinant for normalized bi-univalent functions."},"references":{"count":18,"sample":[{"doi":"","year":1985,"title":"De Branges, A proof of the Bieberbach conjecture, Acta Math.,154, 1-2 (1985), 137–152","work_id":"cce41f9e-e2bb-4d06-b8a4-c969e15a5ce7","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1963,"title":"Cantor, Power series with integral coefficients","work_id":"074dd90f-3740-4797-9cd5-23d4eaf932f9","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1957,"title":"Dienes, The Taylor Series: An Introduction to the Theory of Functions of a Complex Variable; New York-Dover Publishing Company: Mineola, NY, USA, 1957","work_id":"9792b050-2887-43e5-8b68-9eab377eae94","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1983,"title":"Duren, Univalent function, Springer-Verlag, New York, 1983","work_id":"18b3dd01-e01f-4cb7-bf2a-dada101e26ca","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1940,"title":"Edrei, Sur les determinants recurrents et less singularities d’une fonction donee por son developpement de Taylor","work_id":"79df5a3c-8d2a-49fc-a111-c24d47c3d306","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":18,"snapshot_sha256":"fb5cbbf5ff4eb58a01bc6b150312535201121dd2577628fc4f026735e4a4109a","internal_anchors":0},"formal_canon":{"evidence_count":1,"snapshot_sha256":"13626e6f0805e00adab5c7e36e92d0294e6647daee985b9fb0a2e6c025eaec3e"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":"d32e8b8f-3839-4637-97e5-e3d0520c80ad"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:39:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S0DNPZUQ/NzU3t8SNGYtUsN5c6jeAtCrEmcPzMd6nzpF7cMuLULRbS3WME1mhQURSfO6Zf4spoSgxG97OInOAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T03:24:10.860545Z"},"content_sha256":"8f0f75e54ce7bd5dfbb487feb0dbf340fcd95d54ec9cbabb944e8d077dd2920c","schema_version":"1.0","event_id":"sha256:8f0f75e54ce7bd5dfbb487feb0dbf340fcd95d54ec9cbabb944e8d077dd2920c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XKDDWXY5ZTJ7MUWRHVIAXQURBP/bundle.json","state_url":"https://pith.science/pith/XKDDWXY5ZTJ7MUWRHVIAXQURBP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XKDDWXY5ZTJ7MUWRHVIAXQURBP/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":"2026-06-11T03:24:10Z","links":{"resolver":"https://pith.science/pith/XKDDWXY5ZTJ7MUWRHVIAXQURBP","bundle":"https://pith.science/pith/XKDDWXY5ZTJ7MUWRHVIAXQURBP/bundle.json","state":"https://pith.science/pith/XKDDWXY5ZTJ7MUWRHVIAXQURBP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XKDDWXY5ZTJ7MUWRHVIAXQURBP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:XKDDWXY5ZTJ7MUWRHVIAXQURBP","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":"82b1624b844681c48c5f46d062eb2fbbd525254c8c3468263f51e57d27da3739","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2026-05-14T06:20:07Z","title_canon_sha256":"184689c22548010d7b3ecb9ec1d315bb8604a826bd9648c7466ffe343daee806"},"schema_version":"1.0","source":{"id":"2605.14429","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.14429","created_at":"2026-05-17T23:39:07Z"},{"alias_kind":"arxiv_version","alias_value":"2605.14429v1","created_at":"2026-05-17T23:39:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.14429","created_at":"2026-05-17T23:39:07Z"},{"alias_kind":"pith_short_12","alias_value":"XKDDWXY5ZTJ7","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"XKDDWXY5ZTJ7MUWR","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"XKDDWXY5","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:8f0f75e54ce7bd5dfbb487feb0dbf340fcd95d54ec9cbabb944e8d077dd2920c","target":"graph","created_at":"2026-05-17T23:39:07Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"we use a method based on the Grunsky coefficients to find upper bounds of the modulus of the initial coefficients, difference of the moduli of two consecutive initial coefficients, of the modulus of the initial logarithmic coefficient, and of the second Hankel determinant for the class of normalized bi-univalent functions."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The central derivations assume that the Grunsky coefficient inequalities apply directly and sharply to the bi-univalent case without additional restrictions or that the extremal functions achieving the bounds exist within the normalized bi-univalent class."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Upper bounds are derived via Grunsky coefficients for the moduli of initial coefficients, consecutive coefficient modulus differences, initial logarithmic coefficients, and the second Hankel determinant in the class of normalized bi-univalent functions."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Grunsky coefficient inequalities yield upper bounds on the initial coefficients, their differences, logarithmic coefficients, and the second Hankel determinant for normalized bi-univalent functions."}],"snapshot_sha256":"39462231404c1de31148e1ff9d58273a3fa4750ab42b6669c5088e7362485609"},"formal_canon":{"evidence_count":1,"snapshot_sha256":"13626e6f0805e00adab5c7e36e92d0294e6647daee985b9fb0a2e6c025eaec3e"},"paper":{"abstract_excerpt":"In this paper we use a method based on the Grunsky coefficients to find upper bounds of the modulus of the initial coefficients, difference of the moduli of two consecutive initial coefficients, of the modulus of the initial logarithmic coefficient, and of the second Hankel determinant for the class of normalized bi-univalent functions.","authors_text":"Milutin Obradovi\\'c, Nikola Tuneski, Pawe{\\l} Zaprawa","cross_cats":[],"headline":"Grunsky coefficient inequalities yield upper bounds on the initial coefficients, their differences, logarithmic coefficients, and the second Hankel determinant for normalized bi-univalent functions.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2026-05-14T06:20:07Z","title":"On some properties of bi-univalent functions in the unit disc"},"references":{"count":18,"internal_anchors":0,"resolved_work":18,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"De Branges, A proof of the Bieberbach conjecture, Acta Math.,154, 1-2 (1985), 137–152","work_id":"cce41f9e-e2bb-4d06-b8a4-c969e15a5ce7","year":1985},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"Cantor, Power series with integral coefficients","work_id":"074dd90f-3740-4797-9cd5-23d4eaf932f9","year":1963},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"Dienes, The Taylor Series: An Introduction to the Theory of Functions of a Complex Variable; New York-Dover Publishing Company: Mineola, NY, USA, 1957","work_id":"9792b050-2887-43e5-8b68-9eab377eae94","year":1957},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"Duren, Univalent function, Springer-Verlag, New York, 1983","work_id":"18b3dd01-e01f-4cb7-bf2a-dada101e26ca","year":1983},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"Edrei, Sur les determinants recurrents et less singularities d’une fonction donee por son developpement de Taylor","work_id":"79df5a3c-8d2a-49fc-a111-c24d47c3d306","year":1940}],"snapshot_sha256":"fb5cbbf5ff4eb58a01bc6b150312535201121dd2577628fc4f026735e4a4109a"},"source":{"id":"2605.14429","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-15T01:39:00.630194Z","id":"d32e8b8f-3839-4637-97e5-e3d0520c80ad","model_set":{"reader":"grok-4.3"},"one_line_summary":"Upper bounds are derived via Grunsky coefficients for the moduli of initial coefficients, consecutive coefficient modulus differences, initial logarithmic coefficients, and the second Hankel determinant in the class of normalized bi-univalent functions.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Grunsky coefficient inequalities yield upper bounds on the initial coefficients, their differences, logarithmic coefficients, and the second Hankel determinant for normalized bi-univalent functions.","strongest_claim":"we use a method based on the Grunsky coefficients to find upper bounds of the modulus of the initial coefficients, difference of the moduli of two consecutive initial coefficients, of the modulus of the initial logarithmic coefficient, and of the second Hankel determinant for the class of normalized bi-univalent functions.","weakest_assumption":"The central derivations assume that the Grunsky coefficient inequalities apply directly and sharply to the bi-univalent case without additional restrictions or that the extremal functions achieving the bounds exist within the normalized bi-univalent class."}},"verdict_id":"d32e8b8f-3839-4637-97e5-e3d0520c80ad"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0e26a215538b88321bfa2a2517f166064385c6ccaac45b439a37c5af7b2aaf0b","target":"record","created_at":"2026-05-17T23:39:07Z","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":"82b1624b844681c48c5f46d062eb2fbbd525254c8c3468263f51e57d27da3739","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2026-05-14T06:20:07Z","title_canon_sha256":"184689c22548010d7b3ecb9ec1d315bb8604a826bd9648c7466ffe343daee806"},"schema_version":"1.0","source":{"id":"2605.14429","kind":"arxiv","version":1}},"canonical_sha256":"ba863b5f1dccd3f652d13d500bc2910bdecc72b88df10c8390a6dd5d5c4ddf53","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba863b5f1dccd3f652d13d500bc2910bdecc72b88df10c8390a6dd5d5c4ddf53","first_computed_at":"2026-05-17T23:39:07.155289Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:07.155289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J8im2PYYIyCAzZ31r8OA3U2VN1ZLwabPE7/taVPac50z00d1oqFICi+zrYHsIVaQTUNVkFto+NsbsvT5DwsRDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:07.155994Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.14429","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e26a215538b88321bfa2a2517f166064385c6ccaac45b439a37c5af7b2aaf0b","sha256:8f0f75e54ce7bd5dfbb487feb0dbf340fcd95d54ec9cbabb944e8d077dd2920c"],"state_sha256":"e042d296b594ac2c20552385e57c1421f3c303de417cd0f0ffa8a23a37de957d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SCE0Zk5P8nH/je6ZdB3Nvk/T5zUkgbuV+R8gsTXmmd6Q+ypp6zD1bxGcAI0H8KxYnFBc/vph4PacQDOxvct+DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T03:24:10.864400Z","bundle_sha256":"e11ac987c1e81e7c14f0c4fa6242a3303d49b9c6e571d0588eea775052cb64f3"}}