{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:L57A3CRP7KFUY4DXPM2S7WEUKA","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":"debc913f11621a6e0501171a8aec9985af139765fe5deedacc6b14711df047a9","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-12-30T01:19:06Z","title_canon_sha256":"5ae23e3b309d88024b0d05c5b0f54a6371b64ffb415b038fa07b037726d9522c"},"schema_version":"1.0","source":{"id":"0912.5400","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.5400","created_at":"2026-05-18T04:13:16Z"},{"alias_kind":"arxiv_version","alias_value":"0912.5400v3","created_at":"2026-05-18T04:13:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.5400","created_at":"2026-05-18T04:13:16Z"},{"alias_kind":"pith_short_12","alias_value":"L57A3CRP7KFU","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"L57A3CRP7KFUY4DX","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"L57A3CRP","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:4d18d3f70a2fb49ed198cb03bf12df74ff776cc91d323707c3d7028e54e5adab","target":"graph","created_at":"2026-05-18T04:13:16Z","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 introduce a novel parametrization scheme for the Hilbert space of a spin-1/2 Heisenberg antiferromagnet (AFM) based on an octapartite description of the square lattice. Our formulation provides an efficient yet systematic way to model the singlet ground-state wave function within a truncated basis. We demonstrate its effectiveness by using exact diagonalization to study systems with up to 64 spins. At significantly reduced computational cost, we obtain ground-state energies within less than 1% of the lowest values published. The non-iterative nature of this formulation and the fact that spa","authors_text":"Bayo Lau, George A. Sawatzky, Mona Berciu","cross_cats":["cond-mat.supr-con"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-12-30T01:19:06Z","title":"Computational scheme for the spin-1/2 square lattice Heisenberg antiferromagnet based on an octapartite description of the square lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.5400","kind":"arxiv","version":3},"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:dd99007a14a076adb905369e85d14fdaa15dad15aa11dd9b645c5462a1401233","target":"record","created_at":"2026-05-18T04:13:16Z","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":"debc913f11621a6e0501171a8aec9985af139765fe5deedacc6b14711df047a9","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-12-30T01:19:06Z","title_canon_sha256":"5ae23e3b309d88024b0d05c5b0f54a6371b64ffb415b038fa07b037726d9522c"},"schema_version":"1.0","source":{"id":"0912.5400","kind":"arxiv","version":3}},"canonical_sha256":"5f7e0d8a2ffa8b4c70777b352fd894500e4de3522eafa0b39a2cca7e9e2e4150","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f7e0d8a2ffa8b4c70777b352fd894500e4de3522eafa0b39a2cca7e9e2e4150","first_computed_at":"2026-05-18T04:13:16.217805Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:16.217805Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wmBbUjqzVMEXlxjintlTs3siTDMvg6+ZjdWBewAbW07i5TkIWuyd1dPTlQGj2YvTDbMeVtbFTCm2qJ1zrdCOCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:16.218419Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.5400","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd99007a14a076adb905369e85d14fdaa15dad15aa11dd9b645c5462a1401233","sha256:4d18d3f70a2fb49ed198cb03bf12df74ff776cc91d323707c3d7028e54e5adab"],"state_sha256":"67e245ab074b61a205ad5e0557dc10153404ef224f21df1a927920872e416639"}