{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KZHQ4ES6CTW6LL4OO2KU7UA2V2","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":"f9bf1a7a9d3679dbfc4c816317e509e2189357ece932cdf6f3bcde06f5dee05d","cross_cats_sorted":["math.CV","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-01-23T18:35:09Z","title_canon_sha256":"2ac8ea873b99c08ecc3f0dee9e266763a0eefc31dd4454f5df0d6c1036a18cb8"},"schema_version":"1.0","source":{"id":"1401.6090","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.6090","created_at":"2026-05-17T23:41:58Z"},{"alias_kind":"arxiv_version","alias_value":"1401.6090v5","created_at":"2026-05-17T23:41:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.6090","created_at":"2026-05-17T23:41:58Z"},{"alias_kind":"pith_short_12","alias_value":"KZHQ4ES6CTW6","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KZHQ4ES6CTW6LL4O","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KZHQ4ES6","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:fab43c12e9a5491a8d92820ddd0f19f70ef07b2e1852974b4f9e70b9c8b610f6","target":"graph","created_at":"2026-05-17T23:41:58Z","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":"This note comprises a synthesis of certain results in the theory of exact interpolation between Hilbert spaces. In particular, we examine various characterizations of interpolation spaces and their relations to a number of results in operator-theory and in function-theory.","authors_text":"Yacin Ameur","cross_cats":["math.CV","math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-01-23T18:35:09Z","title":"Interpolation between Hilbert spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6090","kind":"arxiv","version":5},"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":"sha256:22ba508e217ead2a9b26fa39bd8b3fcab898c5cb685f4f2e7f9fc3ff65f8df47","target":"record","created_at":"2026-05-17T23:41:58Z","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":"f9bf1a7a9d3679dbfc4c816317e509e2189357ece932cdf6f3bcde06f5dee05d","cross_cats_sorted":["math.CV","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-01-23T18:35:09Z","title_canon_sha256":"2ac8ea873b99c08ecc3f0dee9e266763a0eefc31dd4454f5df0d6c1036a18cb8"},"schema_version":"1.0","source":{"id":"1401.6090","kind":"arxiv","version":5}},"canonical_sha256":"564f0e125e14ede5af8e76954fd01aaeac4996011a3b4d332ff4763a868ea48c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"564f0e125e14ede5af8e76954fd01aaeac4996011a3b4d332ff4763a868ea48c","first_computed_at":"2026-05-17T23:41:58.489015Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:58.489015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q+U+aINZbrqD68eoK7bZ31vFmqnEHi7l8JsU4OH0YXwXBmfXfUqxN1UPzUzM4HL2Mn/9YUCRENh2drMCdB+8Cw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:58.489750Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.6090","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22ba508e217ead2a9b26fa39bd8b3fcab898c5cb685f4f2e7f9fc3ff65f8df47","sha256:fab43c12e9a5491a8d92820ddd0f19f70ef07b2e1852974b4f9e70b9c8b610f6"],"state_sha256":"9de09d95546c92b08afa03c4e474c33f98f659b5b6f5c0e79dcaa5e967e87919"}