{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:VQE4QXUXXLIROIFHDNWHB7EC6R","short_pith_number":"pith:VQE4QXUX","schema_version":"1.0","canonical_sha256":"ac09c85e97bad11720a71b6c70fc82f47aa9caeeaf321782680ddbcef4a9ef26","source":{"kind":"arxiv","id":"0906.0357","version":2},"attestation_state":"computed","paper":{"title":"Linear independence of nearest neighbor valence bond states on the kagome lattice and construction of SU(2)-invariant spin-1/2-Hamiltonian with a Sutherland-Rokhsar-Kivelson quantum liquid ground state","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.str-el","authors_text":"Alexander Seidel","submitted_at":"2009-06-02T19:10:10Z","abstract_excerpt":"A class of local SU(2)-invariant spin-1/2 Hamiltonians is studied that has ground states within the space of nearest neighbor valence bond states on the kagome lattice. Cases include \"generalized Klein'' models without obvious non-valence bond ground states, as well as a \"resonating-valence-bond\" Hamiltonian whose unique ground states within the nearest neighbor valence bond space are four topologically degenerate \"Sutherland-Rokhsar-Kivelson'' (SRK) type wavefunctions, which are expected to describe a gapped $\\mathbb{Z}_2$ spin liquid. The proof of this uniqueness is intimately related to the"},"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":"0906.0357","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-06-02T19:10:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4a65a3ff708822433037ee6f0552175a71e7308b69d6e8f8b4ec7bd71164c60a","abstract_canon_sha256":"501c3d73f40b14d919775803f6898cbd0d1fba12c9b5c8c0c27425b4a87e1e9d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:59.741089Z","signature_b64":"29KA9AHYH57OQs9dir5uAQ4dJRAXAejG49OO+oyv4AqRTGrK1cv4GTymgP44UwA3YA82j+w25QkB0rCWRKCkAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac09c85e97bad11720a71b6c70fc82f47aa9caeeaf321782680ddbcef4a9ef26","last_reissued_at":"2026-05-18T03:23:59.740255Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:59.740255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear independence of nearest neighbor valence bond states on the kagome lattice and construction of SU(2)-invariant spin-1/2-Hamiltonian with a Sutherland-Rokhsar-Kivelson quantum liquid ground state","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.str-el","authors_text":"Alexander Seidel","submitted_at":"2009-06-02T19:10:10Z","abstract_excerpt":"A class of local SU(2)-invariant spin-1/2 Hamiltonians is studied that has ground states within the space of nearest neighbor valence bond states on the kagome lattice. Cases include \"generalized Klein'' models without obvious non-valence bond ground states, as well as a \"resonating-valence-bond\" Hamiltonian whose unique ground states within the nearest neighbor valence bond space are four topologically degenerate \"Sutherland-Rokhsar-Kivelson'' (SRK) type wavefunctions, which are expected to describe a gapped $\\mathbb{Z}_2$ spin liquid. The proof of this uniqueness is intimately related to the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.0357","kind":"arxiv","version":2},"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":"0906.0357","created_at":"2026-05-18T03:23:59.740411+00:00"},{"alias_kind":"arxiv_version","alias_value":"0906.0357v2","created_at":"2026-05-18T03:23:59.740411+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.0357","created_at":"2026-05-18T03:23:59.740411+00:00"},{"alias_kind":"pith_short_12","alias_value":"VQE4QXUXXLIR","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_16","alias_value":"VQE4QXUXXLIROIFH","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_8","alias_value":"VQE4QXUX","created_at":"2026-05-18T12:26:02.257875+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VQE4QXUXXLIROIFHDNWHB7EC6R","json":"https://pith.science/pith/VQE4QXUXXLIROIFHDNWHB7EC6R.json","graph_json":"https://pith.science/api/pith-number/VQE4QXUXXLIROIFHDNWHB7EC6R/graph.json","events_json":"https://pith.science/api/pith-number/VQE4QXUXXLIROIFHDNWHB7EC6R/events.json","paper":"https://pith.science/paper/VQE4QXUX"},"agent_actions":{"view_html":"https://pith.science/pith/VQE4QXUXXLIROIFHDNWHB7EC6R","download_json":"https://pith.science/pith/VQE4QXUXXLIROIFHDNWHB7EC6R.json","view_paper":"https://pith.science/paper/VQE4QXUX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0906.0357&json=true","fetch_graph":"https://pith.science/api/pith-number/VQE4QXUXXLIROIFHDNWHB7EC6R/graph.json","fetch_events":"https://pith.science/api/pith-number/VQE4QXUXXLIROIFHDNWHB7EC6R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VQE4QXUXXLIROIFHDNWHB7EC6R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VQE4QXUXXLIROIFHDNWHB7EC6R/action/storage_attestation","attest_author":"https://pith.science/pith/VQE4QXUXXLIROIFHDNWHB7EC6R/action/author_attestation","sign_citation":"https://pith.science/pith/VQE4QXUXXLIROIFHDNWHB7EC6R/action/citation_signature","submit_replication":"https://pith.science/pith/VQE4QXUXXLIROIFHDNWHB7EC6R/action/replication_record"}},"created_at":"2026-05-18T03:23:59.740411+00:00","updated_at":"2026-05-18T03:23:59.740411+00:00"}