{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ICF45TCEESAV3B6Y4XYAUROEGW","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b4f6db9fc8da8d6ac5f8c21ede7bb4035125c02ba7238b4ab539e7b835d04d0f","cross_cats_sorted":["cs.DS","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-06-24T19:55:33Z","title_canon_sha256":"b35066680f92a1ef690ce367a14cfe96142f16660e765f5397c0c9cee1a2b356"},"schema_version":"1.0","source":{"id":"1406.6355","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.6355","created_at":"2026-05-18T01:29:21Z"},{"alias_kind":"arxiv_version","alias_value":"1406.6355v6","created_at":"2026-05-18T01:29:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.6355","created_at":"2026-05-18T01:29:21Z"},{"alias_kind":"pith_short_12","alias_value":"ICF45TCEESAV","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"ICF45TCEESAV3B6Y","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"ICF45TCE","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:ef701dc6de2bdd79088704f506f302768639c72379b3e1cd2a54fd2ba4ee8560","target":"graph","created_at":"2026-05-18T01:29:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"A (deterministic) polynomial-time algorithm is proposed for approximating the ground state of (general) one-dimensional gapped Hamiltonians. Let $\\epsilon,n,\\eta$ be the energy gap, the system size, and the desired precision, respectively. Neglecting $\\epsilon$-dependent subpolynomial (in $n$) and constant factors, the running time of the algorithm is $n^{O(1)}$ for $\\eta=n^{-O(1)}$.","authors_text":"Yichen Huang","cross_cats":["cs.DS","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-06-24T19:55:33Z","title":"A polynomial-time algorithm for the ground state of one-dimensional gapped Hamiltonians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.6355","kind":"arxiv","version":6},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a735691b747823db46cae6a75e9fbcd5a48ff828786cd878561994bb221e5504","target":"record","created_at":"2026-05-18T01:29:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b4f6db9fc8da8d6ac5f8c21ede7bb4035125c02ba7238b4ab539e7b835d04d0f","cross_cats_sorted":["cs.DS","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-06-24T19:55:33Z","title_canon_sha256":"b35066680f92a1ef690ce367a14cfe96142f16660e765f5397c0c9cee1a2b356"},"schema_version":"1.0","source":{"id":"1406.6355","kind":"arxiv","version":6}},"canonical_sha256":"408bcecc4424815d87d8e5f00a45c435b0a2c2d96d465328a284c4ef7c8ba46f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"408bcecc4424815d87d8e5f00a45c435b0a2c2d96d465328a284c4ef7c8ba46f","first_computed_at":"2026-05-18T01:29:21.803471Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:21.803471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k/zg0nykUE8XgzmQJb8naEuFSqH9SzJWcmvZR5uIx5KtWbrFj4LbPb86Cz4ljFqptVWQKMvNWAuL63le5PjjAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:21.803964Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.6355","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a735691b747823db46cae6a75e9fbcd5a48ff828786cd878561994bb221e5504","sha256:ef701dc6de2bdd79088704f506f302768639c72379b3e1cd2a54fd2ba4ee8560"],"state_sha256":"254c93c36409f8c46263816e5093c25b00b93842a24806c52140d2aa3865f246"}