{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:RZM55FCC6DBZDC563Y2XD7FNHG","short_pith_number":"pith:RZM55FCC","schema_version":"1.0","canonical_sha256":"8e59de9442f0c3918bbede3571fcad39aa5d01c6544a4f53ffe6509e39a2a516","source":{"kind":"arxiv","id":"1208.0365","version":4},"attestation_state":"computed","paper":{"title":"Entanglement Polytopes: Multiparticle Entanglement from Single-Particle Information","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Brent Doran, David Gross, Matthias Christandl, Michael Walter","submitted_at":"2012-08-01T21:16:05Z","abstract_excerpt":"Entangled many-body states are an essential resource for quantum computing and interferometry. Determining the type of entanglement present in a system usually requires access to an exponential number of parameters. We show that in the case of pure multi-particle quantum states, features of the global entanglement can already be extracted from local information alone. This is achieved by associating with any given class of entanglement an entanglement polytope---a geometric object which characterizes the single-particle states compatible with that class. Our results, applicable to systems of a"},"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":"1208.0365","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-01T21:16:05Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"50d178a8b0b8b5741eedc97a9dd389eac395892f7c2d0342c270d0c30d817e01","abstract_canon_sha256":"a81f6c21deb2f35c44c825ddd33c2373785fb2772b40428b999de07ba300c66a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:43.100879Z","signature_b64":"lnhiEbLSsHc9MYrvfzk9mYYdsC8egdEPXTKwqHk0jwsYcEmcVuyD9v2pgJyAp3Qi/hTIJnElEGRHBOvdQv+bBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e59de9442f0c3918bbede3571fcad39aa5d01c6544a4f53ffe6509e39a2a516","last_reissued_at":"2026-05-18T02:37:43.100510Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:43.100510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entanglement Polytopes: Multiparticle Entanglement from Single-Particle Information","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Brent Doran, David Gross, Matthias Christandl, Michael Walter","submitted_at":"2012-08-01T21:16:05Z","abstract_excerpt":"Entangled many-body states are an essential resource for quantum computing and interferometry. Determining the type of entanglement present in a system usually requires access to an exponential number of parameters. We show that in the case of pure multi-particle quantum states, features of the global entanglement can already be extracted from local information alone. This is achieved by associating with any given class of entanglement an entanglement polytope---a geometric object which characterizes the single-particle states compatible with that class. Our results, applicable to systems of a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.0365","kind":"arxiv","version":4},"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":"1208.0365","created_at":"2026-05-18T02:37:43.100565+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.0365v4","created_at":"2026-05-18T02:37:43.100565+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.0365","created_at":"2026-05-18T02:37:43.100565+00:00"},{"alias_kind":"pith_short_12","alias_value":"RZM55FCC6DBZ","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"RZM55FCC6DBZDC56","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"RZM55FCC","created_at":"2026-05-18T12:27:20.899486+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.13778","citing_title":"Error exponents for tripartite-to-bipartite entanglement transformations","ref_index":2013,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RZM55FCC6DBZDC563Y2XD7FNHG","json":"https://pith.science/pith/RZM55FCC6DBZDC563Y2XD7FNHG.json","graph_json":"https://pith.science/api/pith-number/RZM55FCC6DBZDC563Y2XD7FNHG/graph.json","events_json":"https://pith.science/api/pith-number/RZM55FCC6DBZDC563Y2XD7FNHG/events.json","paper":"https://pith.science/paper/RZM55FCC"},"agent_actions":{"view_html":"https://pith.science/pith/RZM55FCC6DBZDC563Y2XD7FNHG","download_json":"https://pith.science/pith/RZM55FCC6DBZDC563Y2XD7FNHG.json","view_paper":"https://pith.science/paper/RZM55FCC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.0365&json=true","fetch_graph":"https://pith.science/api/pith-number/RZM55FCC6DBZDC563Y2XD7FNHG/graph.json","fetch_events":"https://pith.science/api/pith-number/RZM55FCC6DBZDC563Y2XD7FNHG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RZM55FCC6DBZDC563Y2XD7FNHG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RZM55FCC6DBZDC563Y2XD7FNHG/action/storage_attestation","attest_author":"https://pith.science/pith/RZM55FCC6DBZDC563Y2XD7FNHG/action/author_attestation","sign_citation":"https://pith.science/pith/RZM55FCC6DBZDC563Y2XD7FNHG/action/citation_signature","submit_replication":"https://pith.science/pith/RZM55FCC6DBZDC563Y2XD7FNHG/action/replication_record"}},"created_at":"2026-05-18T02:37:43.100565+00:00","updated_at":"2026-05-18T02:37:43.100565+00:00"}