{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:Z7FXD3XJAUSW5TQS5BVJDBBWVS","short_pith_number":"pith:Z7FXD3XJ","schema_version":"1.0","canonical_sha256":"cfcb71eee905256ece12e86a918436acb259bdf4ac851516b0a184438e1932ff","source":{"kind":"arxiv","id":"1603.03245","version":2},"attestation_state":"computed","paper":{"title":"Dichotomy of entanglement depth for symmetric states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas"],"primary_cat":"quant-ph","authors_text":"Bei Zeng, Ji-Yao Chen, Nengkun Yu, Zhengfeng Ji","submitted_at":"2016-03-10T12:56:53Z","abstract_excerpt":"Entanglement depth characterizes the minimal number of particles in a system that are mutually entangled. For symmetric states, we show that there is a dichotomy for entanglement depth: an $N$-particle symmetric state is either fully separable, or fully entangled---the entanglement depth is either $1$ or $N$. This property is even stable under non-symmetric noise. We propose an experimentally accessible method to detect entanglement depth in atomic ensembles based on a bound on the particle number population of Dicke states, and demonstrate that the entanglement depth of some Dicke states, for"},"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":"1603.03245","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-10T12:56:53Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"9a40e85e99f5bbefe33aa2302d8eced5c20ada161830824be4f158beb140ab25","abstract_canon_sha256":"4e8250160e46efddfc7298d373d53906a642eae8ce5cacb1ab8f0555447c1695"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:45.859709Z","signature_b64":"VEtOAZPFjsLUSlYlH35z8w9Bw5o5XrMKeQzNfXbHGj+l1FwBx68vJu+x9+BrwHCxSWTAsmZGDxO21MvwoElsBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cfcb71eee905256ece12e86a918436acb259bdf4ac851516b0a184438e1932ff","last_reissued_at":"2026-05-18T01:00:45.859149Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:45.859149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dichotomy of entanglement depth for symmetric states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas"],"primary_cat":"quant-ph","authors_text":"Bei Zeng, Ji-Yao Chen, Nengkun Yu, Zhengfeng Ji","submitted_at":"2016-03-10T12:56:53Z","abstract_excerpt":"Entanglement depth characterizes the minimal number of particles in a system that are mutually entangled. For symmetric states, we show that there is a dichotomy for entanglement depth: an $N$-particle symmetric state is either fully separable, or fully entangled---the entanglement depth is either $1$ or $N$. This property is even stable under non-symmetric noise. We propose an experimentally accessible method to detect entanglement depth in atomic ensembles based on a bound on the particle number population of Dicke states, and demonstrate that the entanglement depth of some Dicke states, for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.03245","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":"1603.03245","created_at":"2026-05-18T01:00:45.859241+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.03245v2","created_at":"2026-05-18T01:00:45.859241+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.03245","created_at":"2026-05-18T01:00:45.859241+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z7FXD3XJAUSW","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z7FXD3XJAUSW5TQS","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z7FXD3XJ","created_at":"2026-05-18T12:30:53.716459+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/Z7FXD3XJAUSW5TQS5BVJDBBWVS","json":"https://pith.science/pith/Z7FXD3XJAUSW5TQS5BVJDBBWVS.json","graph_json":"https://pith.science/api/pith-number/Z7FXD3XJAUSW5TQS5BVJDBBWVS/graph.json","events_json":"https://pith.science/api/pith-number/Z7FXD3XJAUSW5TQS5BVJDBBWVS/events.json","paper":"https://pith.science/paper/Z7FXD3XJ"},"agent_actions":{"view_html":"https://pith.science/pith/Z7FXD3XJAUSW5TQS5BVJDBBWVS","download_json":"https://pith.science/pith/Z7FXD3XJAUSW5TQS5BVJDBBWVS.json","view_paper":"https://pith.science/paper/Z7FXD3XJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.03245&json=true","fetch_graph":"https://pith.science/api/pith-number/Z7FXD3XJAUSW5TQS5BVJDBBWVS/graph.json","fetch_events":"https://pith.science/api/pith-number/Z7FXD3XJAUSW5TQS5BVJDBBWVS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z7FXD3XJAUSW5TQS5BVJDBBWVS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z7FXD3XJAUSW5TQS5BVJDBBWVS/action/storage_attestation","attest_author":"https://pith.science/pith/Z7FXD3XJAUSW5TQS5BVJDBBWVS/action/author_attestation","sign_citation":"https://pith.science/pith/Z7FXD3XJAUSW5TQS5BVJDBBWVS/action/citation_signature","submit_replication":"https://pith.science/pith/Z7FXD3XJAUSW5TQS5BVJDBBWVS/action/replication_record"}},"created_at":"2026-05-18T01:00:45.859241+00:00","updated_at":"2026-05-18T01:00:45.859241+00:00"}