{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4MOKW4VCKY4XZ43L3DIWYZRJA6","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":"4d0d302a1e99fede8eec7c9ec23ada672ac505e7df8f28c81ca5d352d317da80","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-10-21T11:51:51Z","title_canon_sha256":"08af0c5b2c6c0298f80c0ae445e9e20ab8456b369dd0193580b14a956b3c5459"},"schema_version":"1.0","source":{"id":"1210.5716","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.5716","created_at":"2026-05-18T03:42:43Z"},{"alias_kind":"arxiv_version","alias_value":"1210.5716v1","created_at":"2026-05-18T03:42:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.5716","created_at":"2026-05-18T03:42:43Z"},{"alias_kind":"pith_short_12","alias_value":"4MOKW4VCKY4X","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4MOKW4VCKY4XZ43L","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4MOKW4VC","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:1e04e4696b8379222b7ba8f9e98964e970021a13082fe6343f5a0cf590c66ed4","target":"graph","created_at":"2026-05-18T03:42:43Z","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":"The aim of this article is to extend the results of Asadi M.B, B.V.R. Bhat, G. Ramesh, K. Sumesh about completely positive maps on Hilbert C*-modules. We prove a Stinespring type theorem for a finite family of completely positive maps on Hilbert C*-modules. We also show that any two minimal Stinespring representations are unitarily equivalent.","authors_text":"Marat Pliev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-10-21T11:51:51Z","title":"Stinespring type theorem for a finite family of maps on Hilbert C*-modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.5716","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":"sha256:67ec0c756d75b7f4034aba09adac269117d82bf16204047680ac810f5f17c240","target":"record","created_at":"2026-05-18T03:42:43Z","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":"4d0d302a1e99fede8eec7c9ec23ada672ac505e7df8f28c81ca5d352d317da80","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-10-21T11:51:51Z","title_canon_sha256":"08af0c5b2c6c0298f80c0ae445e9e20ab8456b369dd0193580b14a956b3c5459"},"schema_version":"1.0","source":{"id":"1210.5716","kind":"arxiv","version":1}},"canonical_sha256":"e31cab72a256397cf36bd8d16c662907a2cc71225a9700cf11748090b70246e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e31cab72a256397cf36bd8d16c662907a2cc71225a9700cf11748090b70246e1","first_computed_at":"2026-05-18T03:42:43.231403Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:43.231403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xq2ur5OqJ7C8gfy1rKITbFpIhmF5giuvah4gnCA2ziII+9x2tBr2l308RMEiKDtx3zplzlGzI8/yPj7UveSJBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:43.231920Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.5716","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67ec0c756d75b7f4034aba09adac269117d82bf16204047680ac810f5f17c240","sha256:1e04e4696b8379222b7ba8f9e98964e970021a13082fe6343f5a0cf590c66ed4"],"state_sha256":"ae2dbdbae0858508ac458ef3d5b322d0b510112fa8419694c3b68179505eca93"}