{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:CTUKMQJLVKQJIKXOTA7CWPLZKG","short_pith_number":"pith:CTUKMQJL","schema_version":"1.0","canonical_sha256":"14e8a6412baaa0942aee983e2b3d7951b554f8fa35374aff4beb4918caff41db","source":{"kind":"arxiv","id":"2605.18605","version":1},"attestation_state":"computed","paper":{"title":"Non-Gaussian Entanglement Hierarchy Based on the Schmidt Number","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jiajie Guo, Matteo Fadel, Qiongyi He, Shuheng Liu","submitted_at":"2026-05-18T16:15:17Z","abstract_excerpt":"Non-Gaussian entanglement is a promising resource in various quantum tasks. A recently defined class identifies entanglement that cannot be generated by applying Gaussian operations to separable inputs. To further explore the entanglement in this context, we introduce a quantitative witness $E_{\\rm NG}$ in bipartite bosonic systems, which satisfies $E_{\\rm NG}=1$ for all Gaussian-entanglable states, while $E_{\\rm NG}>1$ certifies non-Gaussian entanglement. Its ceiling $d=\\lceil E_{\\rm NG}\\rceil$ provides a lower bound on the Schmidt number irreducible by Gaussian transformations, thereby defin"},"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":"2605.18605","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-18T16:15:17Z","cross_cats_sorted":[],"title_canon_sha256":"1261e002051132c869746d09d522f255b782fd0304c9ee912e5e9c610a6dd9ab","abstract_canon_sha256":"b2e986b8226348f6383c74f59993f96c8043c9e9d3ba672851865f6761dc0d18"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:06:10.528247Z","signature_b64":"YMq2Cj2EiEwrgLXOMeFh+XKP15j2dzodwufkIhxf75JKo9Gosw9T/cIG8Rk56dZtIf/kKITG/ohn+c4VU58QAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"14e8a6412baaa0942aee983e2b3d7951b554f8fa35374aff4beb4918caff41db","last_reissued_at":"2026-05-20T00:06:10.527422Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:06:10.527422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-Gaussian Entanglement Hierarchy Based on the Schmidt Number","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jiajie Guo, Matteo Fadel, Qiongyi He, Shuheng Liu","submitted_at":"2026-05-18T16:15:17Z","abstract_excerpt":"Non-Gaussian entanglement is a promising resource in various quantum tasks. A recently defined class identifies entanglement that cannot be generated by applying Gaussian operations to separable inputs. To further explore the entanglement in this context, we introduce a quantitative witness $E_{\\rm NG}$ in bipartite bosonic systems, which satisfies $E_{\\rm NG}=1$ for all Gaussian-entanglable states, while $E_{\\rm NG}>1$ certifies non-Gaussian entanglement. Its ceiling $d=\\lceil E_{\\rm NG}\\rceil$ provides a lower bound on the Schmidt number irreducible by Gaussian transformations, thereby defin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.18605","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.18605/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"claim_evidence","ran_at":"2026-05-20T00:01:59.247299Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"02002209ff679b40db2b0ae49dc122ed868e80e01f048ab42efb9937230f72e9"},"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":"2605.18605","created_at":"2026-05-20T00:06:10.527561+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.18605v1","created_at":"2026-05-20T00:06:10.527561+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.18605","created_at":"2026-05-20T00:06:10.527561+00:00"},{"alias_kind":"pith_short_12","alias_value":"CTUKMQJLVKQJ","created_at":"2026-05-20T00:06:10.527561+00:00"},{"alias_kind":"pith_short_16","alias_value":"CTUKMQJLVKQJIKXO","created_at":"2026-05-20T00:06:10.527561+00:00"},{"alias_kind":"pith_short_8","alias_value":"CTUKMQJL","created_at":"2026-05-20T00:06:10.527561+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/CTUKMQJLVKQJIKXOTA7CWPLZKG","json":"https://pith.science/pith/CTUKMQJLVKQJIKXOTA7CWPLZKG.json","graph_json":"https://pith.science/api/pith-number/CTUKMQJLVKQJIKXOTA7CWPLZKG/graph.json","events_json":"https://pith.science/api/pith-number/CTUKMQJLVKQJIKXOTA7CWPLZKG/events.json","paper":"https://pith.science/paper/CTUKMQJL"},"agent_actions":{"view_html":"https://pith.science/pith/CTUKMQJLVKQJIKXOTA7CWPLZKG","download_json":"https://pith.science/pith/CTUKMQJLVKQJIKXOTA7CWPLZKG.json","view_paper":"https://pith.science/paper/CTUKMQJL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.18605&json=true","fetch_graph":"https://pith.science/api/pith-number/CTUKMQJLVKQJIKXOTA7CWPLZKG/graph.json","fetch_events":"https://pith.science/api/pith-number/CTUKMQJLVKQJIKXOTA7CWPLZKG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CTUKMQJLVKQJIKXOTA7CWPLZKG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CTUKMQJLVKQJIKXOTA7CWPLZKG/action/storage_attestation","attest_author":"https://pith.science/pith/CTUKMQJLVKQJIKXOTA7CWPLZKG/action/author_attestation","sign_citation":"https://pith.science/pith/CTUKMQJLVKQJIKXOTA7CWPLZKG/action/citation_signature","submit_replication":"https://pith.science/pith/CTUKMQJLVKQJIKXOTA7CWPLZKG/action/replication_record"}},"created_at":"2026-05-20T00:06:10.527561+00:00","updated_at":"2026-05-20T00:06:10.527561+00:00"}