{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7XF3SLGB4R267H22EFIUYPIZGD","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":"b61eee9eff0b84d502663f47ea70b997ab05de5424e5e9c292aec35b47ec850c","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-01-19T17:14:14Z","title_canon_sha256":"66f3a3fef5648b30407715018da92ce38842cf3ca55047525ec2d2aa88b7efeb"},"schema_version":"1.0","source":{"id":"1301.4578","kind":"arxiv","version":9}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.4578","created_at":"2026-05-18T02:39:01Z"},{"alias_kind":"arxiv_version","alias_value":"1301.4578v9","created_at":"2026-05-18T02:39:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4578","created_at":"2026-05-18T02:39:01Z"},{"alias_kind":"pith_short_12","alias_value":"7XF3SLGB4R26","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"7XF3SLGB4R267H22","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"7XF3SLGB","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:e84c1b91108560ee2187f3246cf8ff6cc9ea6790ccd1e0192efa3505fc87c34f","target":"graph","created_at":"2026-05-18T02:39:01Z","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":"We obtain an extended Reich fixed point theorem for the setting of generalized cone rectangular metric spaces without assuming the normality of the underlying cone. Our work is a generalization of the main result in \\cite{AAB} and \\cite{JS}.","authors_text":"Sriram Balasubramanian","cross_cats":["math.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-01-19T17:14:14Z","title":"An Extended Reich Fixed Point Theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4578","kind":"arxiv","version":9},"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":"sha256:7f8592593c6633f2127a88f2f4ec64dd8a89e7b8fc09eebb31eb7fc8774982a6","target":"record","created_at":"2026-05-18T02:39:01Z","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":"b61eee9eff0b84d502663f47ea70b997ab05de5424e5e9c292aec35b47ec850c","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-01-19T17:14:14Z","title_canon_sha256":"66f3a3fef5648b30407715018da92ce38842cf3ca55047525ec2d2aa88b7efeb"},"schema_version":"1.0","source":{"id":"1301.4578","kind":"arxiv","version":9}},"canonical_sha256":"fdcbb92cc1e475ef9f5a21514c3d1930f38eae772cf61a533d832a8b98e1b31d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fdcbb92cc1e475ef9f5a21514c3d1930f38eae772cf61a533d832a8b98e1b31d","first_computed_at":"2026-05-18T02:39:01.414881Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:01.414881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oNswLcS6a1Qz3jkOx6jhWWqquve0qos9ikqO8cX/+4OmIWqwQYmPWcnt+hpinD+YjbVlPReIZ1KrUrk+i3OIAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:01.415628Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.4578","source_kind":"arxiv","source_version":9}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f8592593c6633f2127a88f2f4ec64dd8a89e7b8fc09eebb31eb7fc8774982a6","sha256:e84c1b91108560ee2187f3246cf8ff6cc9ea6790ccd1e0192efa3505fc87c34f"],"state_sha256":"0c39762a0ba1ba77701ccd6cef34388b5832f4f58f985bcc349373c182db96e5"}