{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:B574UXVDNRRWKMULTPP7RH5JFE","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":"ba1b0d939ebccccfa778a2eda3f85ba34652efa6f239c7be666646cb4eb5dd4b","cross_cats_sorted":["math.CA","math.HO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-08-06T08:55:25Z","title_canon_sha256":"67f1bf961154b8b4396f954654bfae933c2125e5a34dbdac20c5e4c0828be4a2"},"schema_version":"1.0","source":{"id":"1108.1467","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.1467","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"arxiv_version","alias_value":"1108.1467v2","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.1467","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"pith_short_12","alias_value":"B574UXVDNRRW","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"B574UXVDNRRWKMUL","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"B574UXVD","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:ddeccbd53f8a9ac098053d276d3ba742759334e952423e6805bf1f24d4023dff","target":"graph","created_at":"2026-05-18T04:08:23Z","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":"There are several inequalities in the literature carrying the name of Ky Fan. We survey these well-known Ky Fan inequalities and some other significant inequalities generalized by Ky Fan and review some of their recent developments.","authors_text":"Mohammad Sal Moslehian","cross_cats":["math.CA","math.HO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-08-06T08:55:25Z","title":"Ky Fan inequalities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.1467","kind":"arxiv","version":2},"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:d35fbb46ec228e8594c15c564083e82feaed27fb4bcb25e93b69366fae082c92","target":"record","created_at":"2026-05-18T04:08:23Z","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":"ba1b0d939ebccccfa778a2eda3f85ba34652efa6f239c7be666646cb4eb5dd4b","cross_cats_sorted":["math.CA","math.HO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-08-06T08:55:25Z","title_canon_sha256":"67f1bf961154b8b4396f954654bfae933c2125e5a34dbdac20c5e4c0828be4a2"},"schema_version":"1.0","source":{"id":"1108.1467","kind":"arxiv","version":2}},"canonical_sha256":"0f7fca5ea36c6365328b9bdff89fa9290cdf6a8932078eca516b7b0aae29715f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f7fca5ea36c6365328b9bdff89fa9290cdf6a8932078eca516b7b0aae29715f","first_computed_at":"2026-05-18T04:08:23.927396Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:23.927396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8AbtJTfYEdvNm43Ulp1zWtkW8WA9d6y5wYYqHWzVJ1seVgq1U2jjMqjjQgjPqjxi6LEi0jLhCG3fLYeebpYYCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:23.927929Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.1467","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d35fbb46ec228e8594c15c564083e82feaed27fb4bcb25e93b69366fae082c92","sha256:ddeccbd53f8a9ac098053d276d3ba742759334e952423e6805bf1f24d4023dff"],"state_sha256":"9c6cb936aaa6c57cebe4d5ae247d403d9dbd7c4cf7c37265e75caae34153a00d"}