{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7XF3SLGB4R267H22EFIUYPIZGD","short_pith_number":"pith:7XF3SLGB","canonical_record":{"source":{"id":"1301.4578","kind":"arxiv","version":9},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-01-19T17:14:14Z","cross_cats_sorted":["math.GN"],"title_canon_sha256":"66f3a3fef5648b30407715018da92ce38842cf3ca55047525ec2d2aa88b7efeb","abstract_canon_sha256":"b61eee9eff0b84d502663f47ea70b997ab05de5424e5e9c292aec35b47ec850c"},"schema_version":"1.0"},"canonical_sha256":"fdcbb92cc1e475ef9f5a21514c3d1930f38eae772cf61a533d832a8b98e1b31d","source":{"kind":"arxiv","id":"1301.4578","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7XF3SLGB4R267H22EFIUYPIZGD","target":"record","payload":{"canonical_record":{"source":{"id":"1301.4578","kind":"arxiv","version":9},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-01-19T17:14:14Z","cross_cats_sorted":["math.GN"],"title_canon_sha256":"66f3a3fef5648b30407715018da92ce38842cf3ca55047525ec2d2aa88b7efeb","abstract_canon_sha256":"b61eee9eff0b84d502663f47ea70b997ab05de5424e5e9c292aec35b47ec850c"},"schema_version":"1.0"},"canonical_sha256":"fdcbb92cc1e475ef9f5a21514c3d1930f38eae772cf61a533d832a8b98e1b31d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:01.415628Z","signature_b64":"oNswLcS6a1Qz3jkOx6jhWWqquve0qos9ikqO8cX/+4OmIWqwQYmPWcnt+hpinD+YjbVlPReIZ1KrUrk+i3OIAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fdcbb92cc1e475ef9f5a21514c3d1930f38eae772cf61a533d832a8b98e1b31d","last_reissued_at":"2026-05-18T02:39:01.414881Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:01.414881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.4578","source_version":9,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:39:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2p8x7YMf4VPCH7IPi80RIU/Ex672mKD0ZajSx9ghBouzTkfeQAUNMMpgWQZvlGywS3odJwxcSTTXq+QkymMCDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T10:27:28.504594Z"},"content_sha256":"7f8592593c6633f2127a88f2f4ec64dd8a89e7b8fc09eebb31eb7fc8774982a6","schema_version":"1.0","event_id":"sha256:7f8592593c6633f2127a88f2f4ec64dd8a89e7b8fc09eebb31eb7fc8774982a6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7XF3SLGB4R267H22EFIUYPIZGD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Extended Reich Fixed Point Theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GN"],"primary_cat":"math.FA","authors_text":"Sriram Balasubramanian","submitted_at":"2013-01-19T17:14:14Z","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}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4578","kind":"arxiv","version":9},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:39:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vm7U5Tj8UVe30tKTmzL1dG2yGyrT5sNGA9HMA/oaqbhLwPL/95CLlT+sgfIQ3ZERzfcwv9+852V6WlqxCSSVAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T10:27:28.505277Z"},"content_sha256":"e84c1b91108560ee2187f3246cf8ff6cc9ea6790ccd1e0192efa3505fc87c34f","schema_version":"1.0","event_id":"sha256:e84c1b91108560ee2187f3246cf8ff6cc9ea6790ccd1e0192efa3505fc87c34f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7XF3SLGB4R267H22EFIUYPIZGD/bundle.json","state_url":"https://pith.science/pith/7XF3SLGB4R267H22EFIUYPIZGD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7XF3SLGB4R267H22EFIUYPIZGD/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":"2026-05-27T10:27:28Z","links":{"resolver":"https://pith.science/pith/7XF3SLGB4R267H22EFIUYPIZGD","bundle":"https://pith.science/pith/7XF3SLGB4R267H22EFIUYPIZGD/bundle.json","state":"https://pith.science/pith/7XF3SLGB4R267H22EFIUYPIZGD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7XF3SLGB4R267H22EFIUYPIZGD/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m7INMVQbaeDUf90aZPplXkZm+85OYSUAj9UW7TAM5tyes02KjHky0qexF1bvqg+NQswur356ucdqsgv1XWTGBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T10:27:28.508836Z","bundle_sha256":"7a6f956095748b0f3edea95060ca27c4c00885dfe0314a209fdc646c53fb264f"}}