{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6KAL5TWQWE74IDW4C5WN4ESRH6","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":"bfa446ddbd09a9bb94ddb6caeaf970e15e8249b4cf85cdf61d15331af343e8bf","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-28T16:24:02Z","title_canon_sha256":"6911dbc40e0775312433f7222b29bbefd1825e536f9d4e237b58f684b0e0e4e6"},"schema_version":"1.0","source":{"id":"1803.10710","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.10710","created_at":"2026-07-05T03:11:21Z"},{"alias_kind":"arxiv_version","alias_value":"1803.10710v3","created_at":"2026-07-05T03:11:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.10710","created_at":"2026-07-05T03:11:21Z"},{"alias_kind":"pith_short_12","alias_value":"6KAL5TWQWE74","created_at":"2026-07-05T03:11:21Z"},{"alias_kind":"pith_short_16","alias_value":"6KAL5TWQWE74IDW4","created_at":"2026-07-05T03:11:21Z"},{"alias_kind":"pith_short_8","alias_value":"6KAL5TWQ","created_at":"2026-07-05T03:11:21Z"}],"graph_snapshots":[{"event_id":"sha256:10eb50348df0d1851c3f63726bb51fbfcc9053cd21fb04d29de81707073d6908","target":"graph","created_at":"2026-07-05T03:11:21Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1803.10710/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we introduce the resource theory of unextendibility as a relaxation of the resource theory of entanglement. The free states in this resource theory are the k-extendible states, associated with the inability to extend quantum entanglement in a given quantum state to multiple parties. The free channels are k-extendible channels, which preserve the class of k-extendible states. We define several quantifiers of unextendibility by means of generalized divergences and establish their properties. By utilizing this resource theory, we obtain non-asymptotic upper bounds on the rate at wh","authors_text":"Andreas Winter, Eneet Kaur, Mark M. Wilde, Siddhartha Das","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-28T16:24:02Z","title":"Resource theory of unextendibility and non-asymptotic quantum capacity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.10710","kind":"arxiv","version":3},"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:e44a29d2844bbe3abefbad5b860078a0334737b47e69e3902238a61429b79eb8","target":"record","created_at":"2026-07-05T03:11:21Z","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":"bfa446ddbd09a9bb94ddb6caeaf970e15e8249b4cf85cdf61d15331af343e8bf","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-28T16:24:02Z","title_canon_sha256":"6911dbc40e0775312433f7222b29bbefd1825e536f9d4e237b58f684b0e0e4e6"},"schema_version":"1.0","source":{"id":"1803.10710","kind":"arxiv","version":3}},"canonical_sha256":"f280beced0b13fc40edc176cde12513f87ca0dcfeccfec14b1f559a71efbc4ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f280beced0b13fc40edc176cde12513f87ca0dcfeccfec14b1f559a71efbc4ad","first_computed_at":"2026-07-05T03:11:21.680504Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:11:21.680504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tD9j+hL5RYJ92fIgArufx6vgqATD2M6KPBeEtI6HF6pgiXhyEMY15fKl9bDhbFFjKiplM7cP4K6M00G4ZCSiBg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:11:21.680976Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.10710","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e44a29d2844bbe3abefbad5b860078a0334737b47e69e3902238a61429b79eb8","sha256:10eb50348df0d1851c3f63726bb51fbfcc9053cd21fb04d29de81707073d6908"],"state_sha256":"cecce040bcbfb8d9bab27ca3a5f4d3e616a61e62b1f00149e5f341e139ac650e"}