{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:4PH6HKQ7MJBHJ4PW6CMAKTLADJ","short_pith_number":"pith:4PH6HKQ7","schema_version":"1.0","canonical_sha256":"e3cfe3aa1f624274f1f6f098054d601a5aebdb95a5ab8dcebf223328616a1d72","source":{"kind":"arxiv","id":"2403.19610","version":3},"attestation_state":"computed","paper":{"title":"Magic-induced computational separation in entanglement theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Andi Gu, Lorenzo Leone, Salvatore F.E. Oliviero","submitted_at":"2024-03-28T17:31:13Z","abstract_excerpt":"Entanglement serves as a foundational pillar in quantum information theory, delineating the boundary between what is classical and what is quantum. The common assumption is that higher entanglement corresponds to a greater degree of `quantumness'. However, this folk belief is challenged by the fact that classically simulable operations, such as Clifford circuits, can create highly entangled states. The simulability of these states raises a question: what are the differences between `low-magic' entanglement, and `high-magic' entanglement? We answer this question in this work with a rigorous inv"},"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":"2403.19610","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-03-28T17:31:13Z","cross_cats_sorted":[],"title_canon_sha256":"a89e510bd300dac3272b4c9698fe57c736f6de6c4bacbce6128578f90562bff1","abstract_canon_sha256":"e7093937d83f327cdf9816f1a914963f3c577fb94fd1644c47201a87f1ae2caf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:00:15.018548Z","signature_b64":"eyR5kcj0aBF8hpmBcwRIwSVrWt/Cd/s0ZkULTgFAkjhBzGZJGSqaJD3z99cbW33sFQNP2w3dDsqBvenlLdIBAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e3cfe3aa1f624274f1f6f098054d601a5aebdb95a5ab8dcebf223328616a1d72","last_reissued_at":"2026-05-20T00:00:15.017679Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:00:15.017679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Magic-induced computational separation in entanglement theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Andi Gu, Lorenzo Leone, Salvatore F.E. Oliviero","submitted_at":"2024-03-28T17:31:13Z","abstract_excerpt":"Entanglement serves as a foundational pillar in quantum information theory, delineating the boundary between what is classical and what is quantum. The common assumption is that higher entanglement corresponds to a greater degree of `quantumness'. However, this folk belief is challenged by the fact that classically simulable operations, such as Clifford circuits, can create highly entangled states. The simulability of these states raises a question: what are the differences between `low-magic' entanglement, and `high-magic' entanglement? We answer this question in this work with a rigorous inv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.19610","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.19610/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2403.19610","created_at":"2026-05-20T00:00:15.017823+00:00"},{"alias_kind":"arxiv_version","alias_value":"2403.19610v3","created_at":"2026-05-20T00:00:15.017823+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.19610","created_at":"2026-05-20T00:00:15.017823+00:00"},{"alias_kind":"pith_short_12","alias_value":"4PH6HKQ7MJBH","created_at":"2026-05-20T00:00:15.017823+00:00"},{"alias_kind":"pith_short_16","alias_value":"4PH6HKQ7MJBHJ4PW","created_at":"2026-05-20T00:00:15.017823+00:00"},{"alias_kind":"pith_short_8","alias_value":"4PH6HKQ7","created_at":"2026-05-20T00:00:15.017823+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":6,"internal_anchor_count":6,"sample":[{"citing_arxiv_id":"2412.17209","citing_title":"Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states","ref_index":45,"is_internal_anchor":true},{"citing_arxiv_id":"2412.16062","citing_title":"Multipartite entanglement structure of monitored quantum circuits","ref_index":34,"is_internal_anchor":true},{"citing_arxiv_id":"2605.21664","citing_title":"A journey through Flatland: What does the antiflatness of a spectrum teach us?","ref_index":24,"is_internal_anchor":true},{"citing_arxiv_id":"2605.22424","citing_title":"Long-range nonstabilizerness of topologically encoded states from mutual information","ref_index":41,"is_internal_anchor":true},{"citing_arxiv_id":"2507.02540","citing_title":"An Algorithm for Estimating $\\alpha$-Stabilizer R\\'enyi Entropies via Purity","ref_index":17,"is_internal_anchor":true},{"citing_arxiv_id":"2604.13486","citing_title":"Taming Trotter Errors with Quantum Resources","ref_index":12,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4PH6HKQ7MJBHJ4PW6CMAKTLADJ","json":"https://pith.science/pith/4PH6HKQ7MJBHJ4PW6CMAKTLADJ.json","graph_json":"https://pith.science/api/pith-number/4PH6HKQ7MJBHJ4PW6CMAKTLADJ/graph.json","events_json":"https://pith.science/api/pith-number/4PH6HKQ7MJBHJ4PW6CMAKTLADJ/events.json","paper":"https://pith.science/paper/4PH6HKQ7"},"agent_actions":{"view_html":"https://pith.science/pith/4PH6HKQ7MJBHJ4PW6CMAKTLADJ","download_json":"https://pith.science/pith/4PH6HKQ7MJBHJ4PW6CMAKTLADJ.json","view_paper":"https://pith.science/paper/4PH6HKQ7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2403.19610&json=true","fetch_graph":"https://pith.science/api/pith-number/4PH6HKQ7MJBHJ4PW6CMAKTLADJ/graph.json","fetch_events":"https://pith.science/api/pith-number/4PH6HKQ7MJBHJ4PW6CMAKTLADJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4PH6HKQ7MJBHJ4PW6CMAKTLADJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4PH6HKQ7MJBHJ4PW6CMAKTLADJ/action/storage_attestation","attest_author":"https://pith.science/pith/4PH6HKQ7MJBHJ4PW6CMAKTLADJ/action/author_attestation","sign_citation":"https://pith.science/pith/4PH6HKQ7MJBHJ4PW6CMAKTLADJ/action/citation_signature","submit_replication":"https://pith.science/pith/4PH6HKQ7MJBHJ4PW6CMAKTLADJ/action/replication_record"}},"created_at":"2026-05-20T00:00:15.017823+00:00","updated_at":"2026-05-20T00:00:15.017823+00:00"}