{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:J4W5AG5JN246OD7VEYGNZC4L2R","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":"48647c16be7b0c24da6f83ea1c82f4d4825967a79105d64be29ea6d50e1b0040","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-08-08T15:20:14Z","title_canon_sha256":"2cff85947a8f4f59a001323d17e817cf6ff3633891451d8b4bb09da2dd1cc1f7"},"schema_version":"1.0","source":{"id":"1808.02819","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.02819","created_at":"2026-05-18T00:08:32Z"},{"alias_kind":"arxiv_version","alias_value":"1808.02819v1","created_at":"2026-05-18T00:08:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.02819","created_at":"2026-05-18T00:08:32Z"},{"alias_kind":"pith_short_12","alias_value":"J4W5AG5JN246","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"J4W5AG5JN246OD7V","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"J4W5AG5J","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:aafff2213ea4fd3c8dba704b5be214704efe0ad9299e2db731b4e8a22c8ae299","target":"graph","created_at":"2026-05-18T00:08:32Z","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 study of transformations among pure states via Local Operations assisted by Classical Communication (LOCC) plays a central role in entanglement theory. The main emphasis of these investigations is on the deterministic, or probabilistic transformations between two states and mainly tools from linear algebra are employed. Here, we go one step beyond that and analyze all optimal protocols. We show that for all bipartite and almost all multipartite (of arbitrarily many d-level systems) pairs of states, there exist infinitely many optimal intermediate states to which the initial state can first","authors_text":"Barbara Kraus, David Sauerwein, Katharina Schwaiger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-08-08T15:20:14Z","title":"Discrete And Differentiable Entanglement Transformations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.02819","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":"sha256:1d180b0625e30353726728794c928af1b35f8304f285e2f156e02c9bc782a1d4","target":"record","created_at":"2026-05-18T00:08:32Z","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":"48647c16be7b0c24da6f83ea1c82f4d4825967a79105d64be29ea6d50e1b0040","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-08-08T15:20:14Z","title_canon_sha256":"2cff85947a8f4f59a001323d17e817cf6ff3633891451d8b4bb09da2dd1cc1f7"},"schema_version":"1.0","source":{"id":"1808.02819","kind":"arxiv","version":1}},"canonical_sha256":"4f2dd01ba96eb9e70ff5260cdc8b8bd44744fdd7918eb2e01a639244afaf0d7c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f2dd01ba96eb9e70ff5260cdc8b8bd44744fdd7918eb2e01a639244afaf0d7c","first_computed_at":"2026-05-18T00:08:32.121151Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:32.121151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9+xn6A0yQBE8ZNvQ+w6nBRqAWHAtPxf17HTHmNFQRu50DN8whBREJIZwrBQX9mhr2bN1pMN6sewgMrKkyYasBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:32.121874Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.02819","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d180b0625e30353726728794c928af1b35f8304f285e2f156e02c9bc782a1d4","sha256:aafff2213ea4fd3c8dba704b5be214704efe0ad9299e2db731b4e8a22c8ae299"],"state_sha256":"3d34dc0c4ae869891be67fdcdf9a600e82a9db36b966e61b278b18810eac17c8"}