{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:5F5QYDNHAU44OUIAVA4CDBICIR","short_pith_number":"pith:5F5QYDNH","schema_version":"1.0","canonical_sha256":"e97b0c0da70539c75100a838218502447e86628636fe8a704c51662331d45397","source":{"kind":"arxiv","id":"1301.3407","version":1},"attestation_state":"computed","paper":{"title":"Commuting Local Hamiltonians on Expanders, Locally Testable Quantum codes, and the qPCP conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Dorit Aharonov, Lior Eldar","submitted_at":"2013-01-15T16:35:13Z","abstract_excerpt":"Understanding commuting local Hamiltonians (CLHs) is at the heart of many questions in quantum computational complexity and quantum physics: quantum error correcting codes, quantum NP, the PCP conjecture, topological order and more."},"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":"1301.3407","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-15T16:35:13Z","cross_cats_sorted":[],"title_canon_sha256":"085b1901726905e52504d0b6f14f0ea603478e05bd7cdb03210b09f296d567f9","abstract_canon_sha256":"04e417a709857fd44bc2ac7da10749766370f2f029485c96dbebf4ceed51ccef"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:25.643381Z","signature_b64":"UW8d4KILBsKQYb692/Ao0YnefH7zJGvBnkn+GHWbQSXk+E3hfqJnikQ760DyU1KfCrhlscrDhJ8/m+lVRyUKDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e97b0c0da70539c75100a838218502447e86628636fe8a704c51662331d45397","last_reissued_at":"2026-05-18T03:36:25.642978Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:25.642978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Commuting Local Hamiltonians on Expanders, Locally Testable Quantum codes, and the qPCP conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Dorit Aharonov, Lior Eldar","submitted_at":"2013-01-15T16:35:13Z","abstract_excerpt":"Understanding commuting local Hamiltonians (CLHs) is at the heart of many questions in quantum computational complexity and quantum physics: quantum error correcting codes, quantum NP, the PCP conjecture, topological order and more."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3407","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":""},"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":"1301.3407","created_at":"2026-05-18T03:36:25.643029+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.3407v1","created_at":"2026-05-18T03:36:25.643029+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3407","created_at":"2026-05-18T03:36:25.643029+00:00"},{"alias_kind":"pith_short_12","alias_value":"5F5QYDNHAU44","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_16","alias_value":"5F5QYDNHAU44OUIA","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_8","alias_value":"5F5QYDNH","created_at":"2026-05-18T12:27:34.582898+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.00161","citing_title":"The rotation-invariant Hamiltonian problem is QMA$_{\\rm EXP}$-complete","ref_index":1,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5F5QYDNHAU44OUIAVA4CDBICIR","json":"https://pith.science/pith/5F5QYDNHAU44OUIAVA4CDBICIR.json","graph_json":"https://pith.science/api/pith-number/5F5QYDNHAU44OUIAVA4CDBICIR/graph.json","events_json":"https://pith.science/api/pith-number/5F5QYDNHAU44OUIAVA4CDBICIR/events.json","paper":"https://pith.science/paper/5F5QYDNH"},"agent_actions":{"view_html":"https://pith.science/pith/5F5QYDNHAU44OUIAVA4CDBICIR","download_json":"https://pith.science/pith/5F5QYDNHAU44OUIAVA4CDBICIR.json","view_paper":"https://pith.science/paper/5F5QYDNH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.3407&json=true","fetch_graph":"https://pith.science/api/pith-number/5F5QYDNHAU44OUIAVA4CDBICIR/graph.json","fetch_events":"https://pith.science/api/pith-number/5F5QYDNHAU44OUIAVA4CDBICIR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5F5QYDNHAU44OUIAVA4CDBICIR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5F5QYDNHAU44OUIAVA4CDBICIR/action/storage_attestation","attest_author":"https://pith.science/pith/5F5QYDNHAU44OUIAVA4CDBICIR/action/author_attestation","sign_citation":"https://pith.science/pith/5F5QYDNHAU44OUIAVA4CDBICIR/action/citation_signature","submit_replication":"https://pith.science/pith/5F5QYDNHAU44OUIAVA4CDBICIR/action/replication_record"}},"created_at":"2026-05-18T03:36:25.643029+00:00","updated_at":"2026-05-18T03:36:25.643029+00:00"}