{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:V5A74GGBYIJOBHLOTTFIWG2YGU","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":"0af44015bdd3f5b852de61db25853d352fae4151cbc0d6a57b2fe7ec1d6f6da1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2011-05-14T09:51:43Z","title_canon_sha256":"fdecf323c9beabb10fdeb2111d078ff53fed7266d1bffebd2ffff1a708d44123"},"schema_version":"1.0","source":{"id":"1105.2880","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2880","created_at":"2026-05-18T04:22:01Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2880v1","created_at":"2026-05-18T04:22:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2880","created_at":"2026-05-18T04:22:01Z"},{"alias_kind":"pith_short_12","alias_value":"V5A74GGBYIJO","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"V5A74GGBYIJOBHLO","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"V5A74GGB","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:c72dacd1fd734f711bf3687283bb13b0d4f7bebafd0857867333419e671ff9be","target":"graph","created_at":"2026-05-18T04:22:01Z","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 paper, we introduce the concept of mixed (G, S)-monotone mappings and prove coupled coincidence and coupled common fixed point theorems for such mappings satisfying a nonlinear contraction involving altering distance functions. Presented theorems extend, improve and generalize the very recent results of Harjani, L\\'opez and Sadarangani [J. Harjani, B. L\\'opez and K. Sadarangani, Fixed point theorems for mixed monotone operators and applications to integral equations, Nonlinear Analysis (2010), doi:10.1016/j.na.2010.10.047] and other existing results in the literature. Some applications","authors_text":"Habib Yazidi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2011-05-14T09:51:43Z","title":"Coupled coincidence point theorems for mixed (G, S)-monotone operators on partially ordered metric spaces and applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2880","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":"sha256:8580b2527d1f63b00da27413aab486467471b06a2b0ca7d3e5916722573fdf2d","target":"record","created_at":"2026-05-18T04:22:01Z","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":"0af44015bdd3f5b852de61db25853d352fae4151cbc0d6a57b2fe7ec1d6f6da1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2011-05-14T09:51:43Z","title_canon_sha256":"fdecf323c9beabb10fdeb2111d078ff53fed7266d1bffebd2ffff1a708d44123"},"schema_version":"1.0","source":{"id":"1105.2880","kind":"arxiv","version":1}},"canonical_sha256":"af41fe18c1c212e09d6e9cca8b1b583511853fdb180a8bee30c385bb13ccc6fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af41fe18c1c212e09d6e9cca8b1b583511853fdb180a8bee30c385bb13ccc6fc","first_computed_at":"2026-05-18T04:22:01.831868Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:01.831868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ogZa/sZve6PWaPDCZNBm+7bV5D/J33w4zPFPNsFnxZI6h4Af1c34GFQo5ldgOEMtpb9meu0jgXN1uD2XR4xnCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:01.832359Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.2880","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8580b2527d1f63b00da27413aab486467471b06a2b0ca7d3e5916722573fdf2d","sha256:c72dacd1fd734f711bf3687283bb13b0d4f7bebafd0857867333419e671ff9be"],"state_sha256":"5b405c464288f5fa17b09c8a21d97c26a880344f11e585bea6b8eb930a4b5370"}