{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:QEMY4IJ2HJSFEFE66GFWNTUWAC","short_pith_number":"pith:QEMY4IJ2","schema_version":"1.0","canonical_sha256":"81198e213a3a6452149ef18b66ce9600a2a8574de42f060e1cb833c9c77d6a75","source":{"kind":"arxiv","id":"1710.01902","version":2},"attestation_state":"computed","paper":{"title":"Dual correspondence between classical spin models and quantum CSS states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Afshin Montakhab, Mohammad Hossein Zarei","submitted_at":"2017-10-05T07:34:40Z","abstract_excerpt":"The correspondence between classical spin models and quantum states has attracted much attention in recent years. However, it remains an open problem as to which specific spin model a given (well-known) quantum state maps to. In this Letter, we provide such an explicit correspondence for an important class of quantum states where a duality relation is proved between classical spin models and quantum Calderbank-Shor-Steane (CSS) states. In particular, we employ graph-theoretic methods to prove that the partition function of a classical spin model on a hypergraph $H$ is equal to the inner produc"},"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":"1710.01902","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-10-05T07:34:40Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"ce552e371b4a4f02f638880a4660ecb2b8ff41c607a9a44732e77375a69f6c2c","abstract_canon_sha256":"da97e0e575a7b7f99a270f829f388e133e3a0595997e1055fadfb1fdaa2ba6f2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:11.065454Z","signature_b64":"P1ymTKoQdlCJDMjThPFGlHAZS9z8thqhDjvkU/w6aAKCDJrfHqwdlF9Yk6pK/rvdj7S6iHr9mw0wtXLi3suCDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81198e213a3a6452149ef18b66ce9600a2a8574de42f060e1cb833c9c77d6a75","last_reissued_at":"2026-05-18T00:08:11.064868Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:11.064868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dual correspondence between classical spin models and quantum CSS states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Afshin Montakhab, Mohammad Hossein Zarei","submitted_at":"2017-10-05T07:34:40Z","abstract_excerpt":"The correspondence between classical spin models and quantum states has attracted much attention in recent years. However, it remains an open problem as to which specific spin model a given (well-known) quantum state maps to. In this Letter, we provide such an explicit correspondence for an important class of quantum states where a duality relation is proved between classical spin models and quantum Calderbank-Shor-Steane (CSS) states. In particular, we employ graph-theoretic methods to prove that the partition function of a classical spin model on a hypergraph $H$ is equal to the inner produc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01902","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":"1710.01902","created_at":"2026-05-18T00:08:11.064951+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.01902v2","created_at":"2026-05-18T00:08:11.064951+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01902","created_at":"2026-05-18T00:08:11.064951+00:00"},{"alias_kind":"pith_short_12","alias_value":"QEMY4IJ2HJSF","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_16","alias_value":"QEMY4IJ2HJSFEFE6","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_8","alias_value":"QEMY4IJ2","created_at":"2026-05-18T12:31:37.085036+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/QEMY4IJ2HJSFEFE66GFWNTUWAC","json":"https://pith.science/pith/QEMY4IJ2HJSFEFE66GFWNTUWAC.json","graph_json":"https://pith.science/api/pith-number/QEMY4IJ2HJSFEFE66GFWNTUWAC/graph.json","events_json":"https://pith.science/api/pith-number/QEMY4IJ2HJSFEFE66GFWNTUWAC/events.json","paper":"https://pith.science/paper/QEMY4IJ2"},"agent_actions":{"view_html":"https://pith.science/pith/QEMY4IJ2HJSFEFE66GFWNTUWAC","download_json":"https://pith.science/pith/QEMY4IJ2HJSFEFE66GFWNTUWAC.json","view_paper":"https://pith.science/paper/QEMY4IJ2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.01902&json=true","fetch_graph":"https://pith.science/api/pith-number/QEMY4IJ2HJSFEFE66GFWNTUWAC/graph.json","fetch_events":"https://pith.science/api/pith-number/QEMY4IJ2HJSFEFE66GFWNTUWAC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QEMY4IJ2HJSFEFE66GFWNTUWAC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QEMY4IJ2HJSFEFE66GFWNTUWAC/action/storage_attestation","attest_author":"https://pith.science/pith/QEMY4IJ2HJSFEFE66GFWNTUWAC/action/author_attestation","sign_citation":"https://pith.science/pith/QEMY4IJ2HJSFEFE66GFWNTUWAC/action/citation_signature","submit_replication":"https://pith.science/pith/QEMY4IJ2HJSFEFE66GFWNTUWAC/action/replication_record"}},"created_at":"2026-05-18T00:08:11.064951+00:00","updated_at":"2026-05-18T00:08:11.064951+00:00"}