{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CJSE2JPUVG2652IHRODC4K2MXM","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":"4446ebb4dd1fab85a8e09db10b6bbea14b46ba7373bc50b85a51c44b33797978","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2016-05-31T09:25:54Z","title_canon_sha256":"0c33459c1a60c700f123b2e51a7f9637089b45c95f81be34306517f85e49f94e"},"schema_version":"1.0","source":{"id":"1606.05299","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.05299","created_at":"2026-05-18T01:12:21Z"},{"alias_kind":"arxiv_version","alias_value":"1606.05299v1","created_at":"2026-05-18T01:12:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.05299","created_at":"2026-05-18T01:12:21Z"},{"alias_kind":"pith_short_12","alias_value":"CJSE2JPUVG26","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CJSE2JPUVG2652IH","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CJSE2JPU","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:cb48542dd05ed8fe5bc53a087edc857295b117e3ffc05a073847b3c0d3e27dc6","target":"graph","created_at":"2026-05-18T01:12:21Z","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 study the existence of common fixed points of family of multivalued mappings satisfying generalized F-contractive conditions in ordered metric spaces. These results establish some of the general common fixed point theorems for family of multivalued maps.","authors_text":"Sergei Silvestrov, Talat Nazir","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2016-05-31T09:25:54Z","title":"Common Fixed Point Results for Family of Generalized Multivalued F-contraction Mappings in Ordered Metric Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.05299","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":"sha256:24f82e4306affdd41554f9cc094f0523ec76dee6749aa3c4e8f65a31f8ab84e5","target":"record","created_at":"2026-05-18T01:12:21Z","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":"4446ebb4dd1fab85a8e09db10b6bbea14b46ba7373bc50b85a51c44b33797978","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2016-05-31T09:25:54Z","title_canon_sha256":"0c33459c1a60c700f123b2e51a7f9637089b45c95f81be34306517f85e49f94e"},"schema_version":"1.0","source":{"id":"1606.05299","kind":"arxiv","version":1}},"canonical_sha256":"12644d25f4a9b5eee9078b862e2b4cbb19bb0ae74e4528bfadadfe71c680b701","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12644d25f4a9b5eee9078b862e2b4cbb19bb0ae74e4528bfadadfe71c680b701","first_computed_at":"2026-05-18T01:12:21.627274Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:21.627274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XHCjNti6Hlv3lAVIG620wYu2+EtljIjlomPIRHo64WDNaPpNNETdUIO/gv9icK+mXQ27mt4wuT/0wFqy6Y99AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:21.627607Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.05299","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24f82e4306affdd41554f9cc094f0523ec76dee6749aa3c4e8f65a31f8ab84e5","sha256:cb48542dd05ed8fe5bc53a087edc857295b117e3ffc05a073847b3c0d3e27dc6"],"state_sha256":"ca20c8de24a8ccb5a97cbf93596ea269759bf9c555851f2b6b7c0594174f8f9c"}