{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:HYX5YRJIUTE2ZH4AOWDWMGWAXN","short_pith_number":"pith:HYX5YRJI","schema_version":"1.0","canonical_sha256":"3e2fdc4528a4c9ac9f807587661ac0bb529d32320e8c543d3e0512dc7e7a9c83","source":{"kind":"arxiv","id":"1304.2040","version":2},"attestation_state":"computed","paper":{"title":"Checking the optimality of entanglement witnesses: an application to structural physical approximations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"J. Bae, J. Tura, M. Lewenstein, R. Augusiak","submitted_at":"2013-04-07T18:53:35Z","abstract_excerpt":"In 2008, the conjecture that structural physical approximations to optimal entanglement witnesses are separable states (in general unnormalized) was posed. In an attempt to disprove it, in [K.-C. Ha and S.-H. Kye, Separable states with unique decompositions, arXiv:1210.1088v3], Ha and Kye proposed a decomposable entanglement witness whose SPA is entangled and argued that it is optimal. In this note, which is based on a comment to the latter work [R. Augusiak et al., Comment on \"Separable states with unique decompositions\", arXiv:1304.2040v1], we show, both analytically and numerically, that th"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1304.2040","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-04-07T18:53:35Z","cross_cats_sorted":[],"title_canon_sha256":"38217de1b9101c6fe91a9dee45e0114de611cdb570cf3567a25504ae00518594","abstract_canon_sha256":"c19ce436dc5ca8eea6ec114442411970a9000558f1b690521251139794d37710"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:41.886963Z","signature_b64":"4PXogqZliZe4OoSGV4wpTzYAuU+kJ7/4Bv0GSh1aV7ItlUwUyUHktxY8ImyylHMlbBB6gjqWWPnN/m0c/u1aBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e2fdc4528a4c9ac9f807587661ac0bb529d32320e8c543d3e0512dc7e7a9c83","last_reissued_at":"2026-05-18T01:50:41.886391Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:41.886391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Checking the optimality of entanglement witnesses: an application to structural physical approximations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"J. Bae, J. Tura, M. Lewenstein, R. Augusiak","submitted_at":"2013-04-07T18:53:35Z","abstract_excerpt":"In 2008, the conjecture that structural physical approximations to optimal entanglement witnesses are separable states (in general unnormalized) was posed. In an attempt to disprove it, in [K.-C. Ha and S.-H. Kye, Separable states with unique decompositions, arXiv:1210.1088v3], Ha and Kye proposed a decomposable entanglement witness whose SPA is entangled and argued that it is optimal. In this note, which is based on a comment to the latter work [R. Augusiak et al., Comment on \"Separable states with unique decompositions\", arXiv:1304.2040v1], we show, both analytically and numerically, that th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2040","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1304.2040","created_at":"2026-05-18T01:50:41.886478+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.2040v2","created_at":"2026-05-18T01:50:41.886478+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2040","created_at":"2026-05-18T01:50:41.886478+00:00"},{"alias_kind":"pith_short_12","alias_value":"HYX5YRJIUTE2","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"HYX5YRJIUTE2ZH4A","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"HYX5YRJI","created_at":"2026-05-18T12:27:46.883200+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HYX5YRJIUTE2ZH4AOWDWMGWAXN","json":"https://pith.science/pith/HYX5YRJIUTE2ZH4AOWDWMGWAXN.json","graph_json":"https://pith.science/api/pith-number/HYX5YRJIUTE2ZH4AOWDWMGWAXN/graph.json","events_json":"https://pith.science/api/pith-number/HYX5YRJIUTE2ZH4AOWDWMGWAXN/events.json","paper":"https://pith.science/paper/HYX5YRJI"},"agent_actions":{"view_html":"https://pith.science/pith/HYX5YRJIUTE2ZH4AOWDWMGWAXN","download_json":"https://pith.science/pith/HYX5YRJIUTE2ZH4AOWDWMGWAXN.json","view_paper":"https://pith.science/paper/HYX5YRJI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.2040&json=true","fetch_graph":"https://pith.science/api/pith-number/HYX5YRJIUTE2ZH4AOWDWMGWAXN/graph.json","fetch_events":"https://pith.science/api/pith-number/HYX5YRJIUTE2ZH4AOWDWMGWAXN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HYX5YRJIUTE2ZH4AOWDWMGWAXN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HYX5YRJIUTE2ZH4AOWDWMGWAXN/action/storage_attestation","attest_author":"https://pith.science/pith/HYX5YRJIUTE2ZH4AOWDWMGWAXN/action/author_attestation","sign_citation":"https://pith.science/pith/HYX5YRJIUTE2ZH4AOWDWMGWAXN/action/citation_signature","submit_replication":"https://pith.science/pith/HYX5YRJIUTE2ZH4AOWDWMGWAXN/action/replication_record"}},"created_at":"2026-05-18T01:50:41.886478+00:00","updated_at":"2026-05-18T01:50:41.886478+00:00"}