{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:6MAD7HQUO63TFJ5OGJDJNSJOWN","short_pith_number":"pith:6MAD7HQU","schema_version":"1.0","canonical_sha256":"f3003f9e1477b732a7ae324696c92eb34ad5954caf669d281bfcbab7918757d5","source":{"kind":"arxiv","id":"1110.2404","version":1},"attestation_state":"computed","paper":{"title":"Finite size emptiness formation probability of the XXZ spin chain at $\\Delta=-1/2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.CO","math.MP"],"primary_cat":"math-ph","authors_text":"Luigi Cantini","submitted_at":"2011-10-11T15:40:54Z","abstract_excerpt":"In this paper we compute the Emptiness Formation Probability of a (twisted-) periodic XXZ spin chain of finite length at $\\Delta=-1/2$, thus proving the formulae conjectured by Razumov and Stroganov \\cite{raz-strog1, raz-strog2}. The result is obtained by exploiting the fact that the ground state of the inhomogeneous XXZ spin chain at $\\Delta=-1/2$ satisfies a set of qKZ equations associated to $\\displaystyle{U_q(\\hat{sl_2})}$."},"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":"1110.2404","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-11T15:40:54Z","cross_cats_sorted":["cond-mat.stat-mech","math.CO","math.MP"],"title_canon_sha256":"2465cc138838ed366345c268249cfa5b45d69035da4deaf5f8cabb785854148b","abstract_canon_sha256":"d8a025c40befda2d2badab80eb48702ada1008df42baca6ea29bbaced4b83959"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:13.715114Z","signature_b64":"krZpWnJcWz27OdV4o3dqu2oIcFbr9xL7vVI3YxwKf50NUAwO9wdfXcHvo9n5Yd+zzflhStIfWtBnyxie6nu6CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3003f9e1477b732a7ae324696c92eb34ad5954caf669d281bfcbab7918757d5","last_reissued_at":"2026-05-18T02:00:13.714582Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:13.714582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finite size emptiness formation probability of the XXZ spin chain at $\\Delta=-1/2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.CO","math.MP"],"primary_cat":"math-ph","authors_text":"Luigi Cantini","submitted_at":"2011-10-11T15:40:54Z","abstract_excerpt":"In this paper we compute the Emptiness Formation Probability of a (twisted-) periodic XXZ spin chain of finite length at $\\Delta=-1/2$, thus proving the formulae conjectured by Razumov and Stroganov \\cite{raz-strog1, raz-strog2}. The result is obtained by exploiting the fact that the ground state of the inhomogeneous XXZ spin chain at $\\Delta=-1/2$ satisfies a set of qKZ equations associated to $\\displaystyle{U_q(\\hat{sl_2})}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2404","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":"1110.2404","created_at":"2026-05-18T02:00:13.714664+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.2404v1","created_at":"2026-05-18T02:00:13.714664+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2404","created_at":"2026-05-18T02:00:13.714664+00:00"},{"alias_kind":"pith_short_12","alias_value":"6MAD7HQUO63T","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_16","alias_value":"6MAD7HQUO63TFJ5O","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_8","alias_value":"6MAD7HQU","created_at":"2026-05-18T12:26:22.705136+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1909.01270","citing_title":"Emptiness formation probability and Painlev\\'e V equation in the XY spin chain","ref_index":10,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6MAD7HQUO63TFJ5OGJDJNSJOWN","json":"https://pith.science/pith/6MAD7HQUO63TFJ5OGJDJNSJOWN.json","graph_json":"https://pith.science/api/pith-number/6MAD7HQUO63TFJ5OGJDJNSJOWN/graph.json","events_json":"https://pith.science/api/pith-number/6MAD7HQUO63TFJ5OGJDJNSJOWN/events.json","paper":"https://pith.science/paper/6MAD7HQU"},"agent_actions":{"view_html":"https://pith.science/pith/6MAD7HQUO63TFJ5OGJDJNSJOWN","download_json":"https://pith.science/pith/6MAD7HQUO63TFJ5OGJDJNSJOWN.json","view_paper":"https://pith.science/paper/6MAD7HQU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.2404&json=true","fetch_graph":"https://pith.science/api/pith-number/6MAD7HQUO63TFJ5OGJDJNSJOWN/graph.json","fetch_events":"https://pith.science/api/pith-number/6MAD7HQUO63TFJ5OGJDJNSJOWN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6MAD7HQUO63TFJ5OGJDJNSJOWN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6MAD7HQUO63TFJ5OGJDJNSJOWN/action/storage_attestation","attest_author":"https://pith.science/pith/6MAD7HQUO63TFJ5OGJDJNSJOWN/action/author_attestation","sign_citation":"https://pith.science/pith/6MAD7HQUO63TFJ5OGJDJNSJOWN/action/citation_signature","submit_replication":"https://pith.science/pith/6MAD7HQUO63TFJ5OGJDJNSJOWN/action/replication_record"}},"created_at":"2026-05-18T02:00:13.714664+00:00","updated_at":"2026-05-18T02:00:13.714664+00:00"}