{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:UGEJIUWG75ICP22L6SFORXXXW5","short_pith_number":"pith:UGEJIUWG","schema_version":"1.0","canonical_sha256":"a1889452c6ff5027eb4bf48ae8def7b7533d36b17d3451231c67973065132d26","source":{"kind":"arxiv","id":"1307.5779","version":3},"attestation_state":"computed","paper":{"title":"Certifying Separability in Symmetric Mixed States, and Superradiance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Elie Wolfe, S.F. Yelin","submitted_at":"2013-07-22T17:05:54Z","abstract_excerpt":"Separability criteria are typically of the necessary, but not sufficient, variety, in that satisfying some separability criterion, such as positivity of eigenvalues under partial transpose, does not strictly imply separability. Certifying separability amounts to proving the existence of a decomposition of a target mixed state into some convex combination of separable states; determining the existence of such a decomposition is \"hard.\" We show that it is effective to ask, instead, if the target mixed state \"fits\" some preconstructed separable form, in that one can generate a sufficient separabi"},"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":"1307.5779","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-07-22T17:05:54Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"7e577c70d4be49972e14084374ee4f15373261f7e4975b78d2c2805548474d1d","abstract_canon_sha256":"44b8b2979b48120f936c5ac5898984c9cb6531941f0d8260740cfcf659512ef9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:56.311511Z","signature_b64":"49d5p757yfQNYxnYetkmuTTgow5xo9rxlmhtw9aGMRBD8fOvM4IPuGKBF4Gj1CRRxUHuJDI2O3MntyuPvWbTCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1889452c6ff5027eb4bf48ae8def7b7533d36b17d3451231c67973065132d26","last_reissued_at":"2026-05-18T02:53:56.310657Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:56.310657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Certifying Separability in Symmetric Mixed States, and Superradiance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Elie Wolfe, S.F. Yelin","submitted_at":"2013-07-22T17:05:54Z","abstract_excerpt":"Separability criteria are typically of the necessary, but not sufficient, variety, in that satisfying some separability criterion, such as positivity of eigenvalues under partial transpose, does not strictly imply separability. Certifying separability amounts to proving the existence of a decomposition of a target mixed state into some convex combination of separable states; determining the existence of such a decomposition is \"hard.\" We show that it is effective to ask, instead, if the target mixed state \"fits\" some preconstructed separable form, in that one can generate a sufficient separabi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5779","kind":"arxiv","version":3},"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":"1307.5779","created_at":"2026-05-18T02:53:56.310805+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.5779v3","created_at":"2026-05-18T02:53:56.310805+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.5779","created_at":"2026-05-18T02:53:56.310805+00:00"},{"alias_kind":"pith_short_12","alias_value":"UGEJIUWG75IC","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_16","alias_value":"UGEJIUWG75ICP22L","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_8","alias_value":"UGEJIUWG","created_at":"2026-05-18T12:28:02.375192+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/UGEJIUWG75ICP22L6SFORXXXW5","json":"https://pith.science/pith/UGEJIUWG75ICP22L6SFORXXXW5.json","graph_json":"https://pith.science/api/pith-number/UGEJIUWG75ICP22L6SFORXXXW5/graph.json","events_json":"https://pith.science/api/pith-number/UGEJIUWG75ICP22L6SFORXXXW5/events.json","paper":"https://pith.science/paper/UGEJIUWG"},"agent_actions":{"view_html":"https://pith.science/pith/UGEJIUWG75ICP22L6SFORXXXW5","download_json":"https://pith.science/pith/UGEJIUWG75ICP22L6SFORXXXW5.json","view_paper":"https://pith.science/paper/UGEJIUWG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.5779&json=true","fetch_graph":"https://pith.science/api/pith-number/UGEJIUWG75ICP22L6SFORXXXW5/graph.json","fetch_events":"https://pith.science/api/pith-number/UGEJIUWG75ICP22L6SFORXXXW5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UGEJIUWG75ICP22L6SFORXXXW5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UGEJIUWG75ICP22L6SFORXXXW5/action/storage_attestation","attest_author":"https://pith.science/pith/UGEJIUWG75ICP22L6SFORXXXW5/action/author_attestation","sign_citation":"https://pith.science/pith/UGEJIUWG75ICP22L6SFORXXXW5/action/citation_signature","submit_replication":"https://pith.science/pith/UGEJIUWG75ICP22L6SFORXXXW5/action/replication_record"}},"created_at":"2026-05-18T02:53:56.310805+00:00","updated_at":"2026-05-18T02:53:56.310805+00:00"}