{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:U5VIMNST3HLKQ6IB6K5SFS6JXN","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":"9f5d32bbeb5560737ef0a4fbdb264079fc8af23721c38b6cb1bcb986b7deeb29","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-07-27T12:11:38Z","title_canon_sha256":"fae9eae26f97254e561dfe86f930148ad4e4d229a386add254098365645f2506"},"schema_version":"1.0","source":{"id":"0907.4610","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.4610","created_at":"2026-05-18T04:39:16Z"},{"alias_kind":"arxiv_version","alias_value":"0907.4610v2","created_at":"2026-05-18T04:39:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.4610","created_at":"2026-05-18T04:39:16Z"},{"alias_kind":"pith_short_12","alias_value":"U5VIMNST3HLK","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"U5VIMNST3HLKQ6IB","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"U5VIMNST","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:66d601e3dde9390909273a0f00f656b263f3b7e779d349b82a7bf73b75fdc738","target":"graph","created_at":"2026-05-18T04:39:16Z","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":"The symmetry operator $Q=Y^2$ is introduced to re-describe the Heisenberg spin triangles in the \\{V6\\} molecule, where $\\mathbf{Y}$ stands for the Yangian operator which can be viewed as special form of Dzyaloshiky-Moriya (DM) interaction for spin 1/2 systems. Suppose a parallelogram Heisenberg model that is comprised of four 1/2-spins commutes with $Q$, which means that it possesses Yangian symmetry, we show that the ground state of the Hamiltonian $H_4$ for the model allows to take the total spin S=1 by choosing some suitable exchange constants in $H_4$. In analogy to the molecular \\{V6\\} wh","authors_text":"Cheng-Ming Bai, Mo-Lin Ge, Xu-Biao Peng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-07-27T12:11:38Z","title":"Yangian symmetry in molecule {V6} and four-spin Heisenberg model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.4610","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":"sha256:89353230e6216613bac5f74452ceb2d3f61ff886e351f3a4d1b800c3845ab795","target":"record","created_at":"2026-05-18T04:39:16Z","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":"9f5d32bbeb5560737ef0a4fbdb264079fc8af23721c38b6cb1bcb986b7deeb29","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-07-27T12:11:38Z","title_canon_sha256":"fae9eae26f97254e561dfe86f930148ad4e4d229a386add254098365645f2506"},"schema_version":"1.0","source":{"id":"0907.4610","kind":"arxiv","version":2}},"canonical_sha256":"a76a863653d9d6a87901f2bb22cbc9bb66db2657a5dd96acb33bda0a57c06d55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a76a863653d9d6a87901f2bb22cbc9bb66db2657a5dd96acb33bda0a57c06d55","first_computed_at":"2026-05-18T04:39:16.905188Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:16.905188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c5rzx/q7BAL8Vs+Z3G8v3abB8RLZYl35vORUOgIhj8Yx3Nn/KqPa71koU6xPEmENtzKfzu2F8SL7H6LIBltdDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:16.905926Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.4610","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89353230e6216613bac5f74452ceb2d3f61ff886e351f3a4d1b800c3845ab795","sha256:66d601e3dde9390909273a0f00f656b263f3b7e779d349b82a7bf73b75fdc738"],"state_sha256":"724f0fa4f319a12eb644b2ce4d5a3d4b1f56d883ca173fe3f4d192f73cf97f50"}