{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:YFOLG7FSNRABVFVCSPKNAFJ4X4","short_pith_number":"pith:YFOLG7FS","schema_version":"1.0","canonical_sha256":"c15cb37cb26c401a96a293d4d0153cbf06df5d3826d521e0c24fcae0cdbf5176","source":{"kind":"arxiv","id":"2201.01824","version":1},"attestation_state":"computed","paper":{"title":"Testing matrix product states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC","cs.DS"],"primary_cat":"quant-ph","authors_text":"John Wright, Mehdi Soleimanifar","submitted_at":"2022-01-05T21:10:50Z","abstract_excerpt":"Devising schemes for testing the amount of entanglement in quantum systems has played a crucial role in quantum computing and information theory. Here, we study the problem of testing whether an unknown state $|\\psi\\rangle$ is a matrix product state (MPS) in the property testing model. MPS are a class of physically-relevant quantum states which arise in the study of quantum many-body systems. A quantum state $|\\psi_{1,...,n}\\rangle$ comprised of $n$ qudits is said to be an MPS of bond dimension $r$ if the reduced density matrix $\\psi_{1,...,k}$ has rank $r$ for each $k \\in \\{1,...,n\\}$. When $"},"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":"2201.01824","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-01-05T21:10:50Z","cross_cats_sorted":["cs.CC","cs.DS"],"title_canon_sha256":"e1a5763c7f4971c97a9b1e62709543fb6438ebd6966b31ad34ae167314282421","abstract_canon_sha256":"7966f5fb69b6cebcca66ddc186aefd506fb1a07feaefa337af8c007aad210f27"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:46:27.054195Z","signature_b64":"znm8lH8E2cjMxl25bQoMtnuPTHeAeuiNDF15SXPHre7ku80XVJX1YKs3mH/tttbGHsdlo2VBdKZNUL7V9LZPAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c15cb37cb26c401a96a293d4d0153cbf06df5d3826d521e0c24fcae0cdbf5176","last_reissued_at":"2026-07-05T03:46:27.053757Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:46:27.053757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Testing matrix product states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC","cs.DS"],"primary_cat":"quant-ph","authors_text":"John Wright, Mehdi Soleimanifar","submitted_at":"2022-01-05T21:10:50Z","abstract_excerpt":"Devising schemes for testing the amount of entanglement in quantum systems has played a crucial role in quantum computing and information theory. Here, we study the problem of testing whether an unknown state $|\\psi\\rangle$ is a matrix product state (MPS) in the property testing model. MPS are a class of physically-relevant quantum states which arise in the study of quantum many-body systems. A quantum state $|\\psi_{1,...,n}\\rangle$ comprised of $n$ qudits is said to be an MPS of bond dimension $r$ if the reduced density matrix $\\psi_{1,...,k}$ has rank $r$ for each $k \\in \\{1,...,n\\}$. When $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.01824","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/2201.01824/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":"2201.01824","created_at":"2026-07-05T03:46:27.053814+00:00"},{"alias_kind":"arxiv_version","alias_value":"2201.01824v1","created_at":"2026-07-05T03:46:27.053814+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.01824","created_at":"2026-07-05T03:46:27.053814+00:00"},{"alias_kind":"pith_short_12","alias_value":"YFOLG7FSNRAB","created_at":"2026-07-05T03:46:27.053814+00:00"},{"alias_kind":"pith_short_16","alias_value":"YFOLG7FSNRABVFVC","created_at":"2026-07-05T03:46:27.053814+00:00"},{"alias_kind":"pith_short_8","alias_value":"YFOLG7FS","created_at":"2026-07-05T03:46:27.053814+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2604.27886","citing_title":"The power of unentanglement without destructive interference","ref_index":93,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YFOLG7FSNRABVFVCSPKNAFJ4X4","json":"https://pith.science/pith/YFOLG7FSNRABVFVCSPKNAFJ4X4.json","graph_json":"https://pith.science/api/pith-number/YFOLG7FSNRABVFVCSPKNAFJ4X4/graph.json","events_json":"https://pith.science/api/pith-number/YFOLG7FSNRABVFVCSPKNAFJ4X4/events.json","paper":"https://pith.science/paper/YFOLG7FS"},"agent_actions":{"view_html":"https://pith.science/pith/YFOLG7FSNRABVFVCSPKNAFJ4X4","download_json":"https://pith.science/pith/YFOLG7FSNRABVFVCSPKNAFJ4X4.json","view_paper":"https://pith.science/paper/YFOLG7FS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2201.01824&json=true","fetch_graph":"https://pith.science/api/pith-number/YFOLG7FSNRABVFVCSPKNAFJ4X4/graph.json","fetch_events":"https://pith.science/api/pith-number/YFOLG7FSNRABVFVCSPKNAFJ4X4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YFOLG7FSNRABVFVCSPKNAFJ4X4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YFOLG7FSNRABVFVCSPKNAFJ4X4/action/storage_attestation","attest_author":"https://pith.science/pith/YFOLG7FSNRABVFVCSPKNAFJ4X4/action/author_attestation","sign_citation":"https://pith.science/pith/YFOLG7FSNRABVFVCSPKNAFJ4X4/action/citation_signature","submit_replication":"https://pith.science/pith/YFOLG7FSNRABVFVCSPKNAFJ4X4/action/replication_record"}},"created_at":"2026-07-05T03:46:27.053814+00:00","updated_at":"2026-07-05T03:46:27.053814+00:00"}