{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:OHKURQIRNGFVXOCZMHUAEPFCHL","short_pith_number":"pith:OHKURQIR","schema_version":"1.0","canonical_sha256":"71d548c111698b5bb85961e8023ca23ade45c18401dfb9b80acbd1dfc0666512","source":{"kind":"arxiv","id":"cond-mat/0509558","version":1},"attestation_state":"computed","paper":{"title":"Ground state projection of quantum spin systems in the valence bond basis","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Anders W. Sandvik","submitted_at":"2005-09-21T18:34:55Z","abstract_excerpt":"A Monte Carlo method for quantum spin systems is formulated in the basis of valence bond (singlet pair) states. The non-orthogonality of this basis allows for an efficient importance-sampled projection of the ground state out of an arbitrary state. The method provides access to resonating valence-bond physics, enables a direct improved estimator for the singlet-triplet gap, and extends the class of models that can be studied without negative-sign problems. As a demonstration, the valence bond distribution in the ground state of the 2D Heisenberg antiferromagnet is calculated. Generalizations o"},"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":"cond-mat/0509558","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2005-09-21T18:34:55Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"848bffff8f68edbe9e005156c5602fe7a45be40a9b4004922c7dd6ce30c82fbf","abstract_canon_sha256":"d9750d41b86af76f2f367c90b38601c2987a59c63cb8e2e9a70d3690420c25b3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:52.225138Z","signature_b64":"3VbtwcwW1r3LJHkqu8MAJ/NseXXhlUdBZ6zT/Woi6hmz/AkmHWSZHAhytOlc8YrkmC8MhiFkuQJ7sPAdpoSvBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71d548c111698b5bb85961e8023ca23ade45c18401dfb9b80acbd1dfc0666512","last_reissued_at":"2026-05-18T01:06:52.224539Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:52.224539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ground state projection of quantum spin systems in the valence bond basis","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Anders W. Sandvik","submitted_at":"2005-09-21T18:34:55Z","abstract_excerpt":"A Monte Carlo method for quantum spin systems is formulated in the basis of valence bond (singlet pair) states. The non-orthogonality of this basis allows for an efficient importance-sampled projection of the ground state out of an arbitrary state. The method provides access to resonating valence-bond physics, enables a direct improved estimator for the singlet-triplet gap, and extends the class of models that can be studied without negative-sign problems. As a demonstration, the valence bond distribution in the ground state of the 2D Heisenberg antiferromagnet is calculated. Generalizations o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0509558","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":"cond-mat/0509558","created_at":"2026-05-18T01:06:52.224630+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0509558v1","created_at":"2026-05-18T01:06:52.224630+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0509558","created_at":"2026-05-18T01:06:52.224630+00:00"},{"alias_kind":"pith_short_12","alias_value":"OHKURQIRNGFV","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"OHKURQIRNGFVXOCZ","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"OHKURQIR","created_at":"2026-05-18T12:25:53.335082+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/OHKURQIRNGFVXOCZMHUAEPFCHL","json":"https://pith.science/pith/OHKURQIRNGFVXOCZMHUAEPFCHL.json","graph_json":"https://pith.science/api/pith-number/OHKURQIRNGFVXOCZMHUAEPFCHL/graph.json","events_json":"https://pith.science/api/pith-number/OHKURQIRNGFVXOCZMHUAEPFCHL/events.json","paper":"https://pith.science/paper/OHKURQIR"},"agent_actions":{"view_html":"https://pith.science/pith/OHKURQIRNGFVXOCZMHUAEPFCHL","download_json":"https://pith.science/pith/OHKURQIRNGFVXOCZMHUAEPFCHL.json","view_paper":"https://pith.science/paper/OHKURQIR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0509558&json=true","fetch_graph":"https://pith.science/api/pith-number/OHKURQIRNGFVXOCZMHUAEPFCHL/graph.json","fetch_events":"https://pith.science/api/pith-number/OHKURQIRNGFVXOCZMHUAEPFCHL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OHKURQIRNGFVXOCZMHUAEPFCHL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OHKURQIRNGFVXOCZMHUAEPFCHL/action/storage_attestation","attest_author":"https://pith.science/pith/OHKURQIRNGFVXOCZMHUAEPFCHL/action/author_attestation","sign_citation":"https://pith.science/pith/OHKURQIRNGFVXOCZMHUAEPFCHL/action/citation_signature","submit_replication":"https://pith.science/pith/OHKURQIRNGFVXOCZMHUAEPFCHL/action/replication_record"}},"created_at":"2026-05-18T01:06:52.224630+00:00","updated_at":"2026-05-18T01:06:52.224630+00:00"}