{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DWBZO53BBR2PIIKVW5GFMBY4NS","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":"7b276ed300cb6a9f49ecff19187f21db0b4fce4a9200f371c0a8e325c9858053","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-09-09T12:43:41Z","title_canon_sha256":"16f4988f7078354152a75b9f1512f70654b87031819c928c0505943d4d1a04e9"},"schema_version":"1.0","source":{"id":"1509.02755","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.02755","created_at":"2026-05-18T01:33:33Z"},{"alias_kind":"arxiv_version","alias_value":"1509.02755v1","created_at":"2026-05-18T01:33:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.02755","created_at":"2026-05-18T01:33:33Z"},{"alias_kind":"pith_short_12","alias_value":"DWBZO53BBR2P","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DWBZO53BBR2PIIKV","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DWBZO53B","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:7a589a381dde5223fd117273db1ead3b694e5262fc7667ea478834bbc05a7c8d","target":"graph","created_at":"2026-05-18T01:33:33Z","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 define concept of approximate fixed point property of a function and a set in intuitionistic fuzzy normed space. Furthermore, we give intuitionistic fuzzy version of some class of maps used in fixed point theory and investigate approximate fixed point property of these maps.","authors_text":"M. Mursaleem, M\\\"uzeyyen Ert\\\"urk, Vatan Karakaya","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-09-09T12:43:41Z","title":"Approximate Fixed point property in Intuitionistic Fuzzy normed sapce"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.02755","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":"sha256:69bb81336d76ca7e119edbebfb8cc619489c60026e5336efdc947f7ab73a4086","target":"record","created_at":"2026-05-18T01:33:33Z","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":"7b276ed300cb6a9f49ecff19187f21db0b4fce4a9200f371c0a8e325c9858053","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-09-09T12:43:41Z","title_canon_sha256":"16f4988f7078354152a75b9f1512f70654b87031819c928c0505943d4d1a04e9"},"schema_version":"1.0","source":{"id":"1509.02755","kind":"arxiv","version":1}},"canonical_sha256":"1d839777610c74f42155b74c56071c6c8670a91f94d5906972bfe019466af211","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d839777610c74f42155b74c56071c6c8670a91f94d5906972bfe019466af211","first_computed_at":"2026-05-18T01:33:33.325510Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:33.325510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xKUvUuk3kaYJM/RK0avnXTR6wqShDu42uXaT75ikFQSQDQqN5KsF/0jJqMvk3NoO2VnVUviUP2sNGRc6Uxm5CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:33.326152Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.02755","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69bb81336d76ca7e119edbebfb8cc619489c60026e5336efdc947f7ab73a4086","sha256:7a589a381dde5223fd117273db1ead3b694e5262fc7667ea478834bbc05a7c8d"],"state_sha256":"cecc8c5f1a42175b1c2cafd6f9d862194b12c1cb850c112b038e47a1b6d6f083"}