{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7OOY4UINBGWZNEUEETSBBDSNFF","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":"2c26a24a699d4ac32d0796f189ae3ff8fd3d76e0e4aead21abfa8b1ab020bd03","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-06-08T14:25:53Z","title_canon_sha256":"86556ef94d7e6356b0b0d063382082a19db158a5813613e5227cef5ffb8679fe"},"schema_version":"1.0","source":{"id":"1506.02519","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02519","created_at":"2026-05-18T01:55:50Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02519v1","created_at":"2026-05-18T01:55:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02519","created_at":"2026-05-18T01:55:50Z"},{"alias_kind":"pith_short_12","alias_value":"7OOY4UINBGWZ","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7OOY4UINBGWZNEUE","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7OOY4UIN","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:c97e9107d62c7a4eb7f7a15fc471d8ffff4ff199c43de7958d992e0977fd1df3","target":"graph","created_at":"2026-05-18T01:55:50Z","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":"Some Gruss type inequalities in semi-inner product modules over C*-algebras for n-tuples of vectors are established. Also we give their natu- ral applications for the approximation of the discrete Fourier and the Melin transforms of bounded linear operators on a Hilbert space.","authors_text":"A. G. Ghazanfari, S. Soleimani","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-06-08T14:25:53Z","title":"Gruss type inequalities in semi-inner product C*-modules and applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02519","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":"sha256:08613935bbcc92ec4c85a24766dfedf3a2f184ab14b1e1b6fae8392f5c91a36c","target":"record","created_at":"2026-05-18T01:55:50Z","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":"2c26a24a699d4ac32d0796f189ae3ff8fd3d76e0e4aead21abfa8b1ab020bd03","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-06-08T14:25:53Z","title_canon_sha256":"86556ef94d7e6356b0b0d063382082a19db158a5813613e5227cef5ffb8679fe"},"schema_version":"1.0","source":{"id":"1506.02519","kind":"arxiv","version":1}},"canonical_sha256":"fb9d8e510d09ad96928424e4108e4d297596b43d4000365eb0488084a33814b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb9d8e510d09ad96928424e4108e4d297596b43d4000365eb0488084a33814b8","first_computed_at":"2026-05-18T01:55:50.871212Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:50.871212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+W/YJM903gKsaiF9H2PC/zFaDIE0V5PfgLtCjkPojK1SmgiWxqZ2VAw/VBge6ixNkkI45DCP3LQZsyeBY1eBBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:50.871717Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.02519","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08613935bbcc92ec4c85a24766dfedf3a2f184ab14b1e1b6fae8392f5c91a36c","sha256:c97e9107d62c7a4eb7f7a15fc471d8ffff4ff199c43de7958d992e0977fd1df3"],"state_sha256":"30ca48ecae6a5b252b272a919faad220e6d8db7f95b61a36f26f25bc4fda21e6"}