{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:IWNKJTIXL3DBQERRXFTNVLDFFF","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":"0fd616d359842bbbb4dec7fe765cf0b7413e88e18161db5ed2e20205a53e8a50","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-09-15T21:55:26Z","title_canon_sha256":"1a31fb536e41296cc4aeae23e643017ea251defd50c4773476c048caa750c198"},"schema_version":"1.0","source":{"id":"1009.3051","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.3051","created_at":"2026-05-18T02:05:27Z"},{"alias_kind":"arxiv_version","alias_value":"1009.3051v2","created_at":"2026-05-18T02:05:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.3051","created_at":"2026-05-18T02:05:27Z"},{"alias_kind":"pith_short_12","alias_value":"IWNKJTIXL3DB","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IWNKJTIXL3DBQERR","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IWNKJTIX","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:79e3b8c8a0b3f572d3c21efde55e5c1bda4f5c2731807cc558e8777f9244bace","target":"graph","created_at":"2026-05-18T02:05:27Z","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":"We show that ground states of unfrustrated quantum spin-1/2 systems on general lattices satisfy an entanglement area law, provided that the Hamiltonian can be decomposed into nearest-neighbor interaction terms which have entangled excited states. The ground state manifold can be efficiently described as the image of a low-dimensional subspace of low Schmidt measure, under an efficiently contractible tree-tensor network. This structure gives rise to the possibility of efficiently simulating the complete ground space (which is in general degenerate). We briefly discuss \"non-generic\" cases, inclu","authors_text":"Jens Eisert, Niel de Beaudrap, Tobias J. Osborne","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-09-15T21:55:26Z","title":"Ground states of unfrustrated spin Hamiltonians satisfy an area law"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.3051","kind":"arxiv","version":2},"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:a21c60c29db1f4adb999a9c8a5a4ada3c2cb596df8ce11277bc6240b07fc48e9","target":"record","created_at":"2026-05-18T02:05:27Z","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":"0fd616d359842bbbb4dec7fe765cf0b7413e88e18161db5ed2e20205a53e8a50","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-09-15T21:55:26Z","title_canon_sha256":"1a31fb536e41296cc4aeae23e643017ea251defd50c4773476c048caa750c198"},"schema_version":"1.0","source":{"id":"1009.3051","kind":"arxiv","version":2}},"canonical_sha256":"459aa4cd175ec6181231b966daac652960e51cbed7bdb4b778149b7e60ed35b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"459aa4cd175ec6181231b966daac652960e51cbed7bdb4b778149b7e60ed35b9","first_computed_at":"2026-05-18T02:05:27.726145Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:27.726145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cQlX+OkJMiCibYLIRu/6zW6aeVfFgLSB3jV3sy7+fnrXyGpo7CKYMSRQf5xg4OEXuLdZ37EAsJgQ4bNjmqxRAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:27.726758Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.3051","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a21c60c29db1f4adb999a9c8a5a4ada3c2cb596df8ce11277bc6240b07fc48e9","sha256:79e3b8c8a0b3f572d3c21efde55e5c1bda4f5c2731807cc558e8777f9244bace"],"state_sha256":"ffe7ace7eb866b202491a0a55e893aa165706cbfaa81c1f0d9e056164107f9c7"}