{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:T4FOAEDGTKL4PVENKKIL4TARQV","short_pith_number":"pith:T4FOAEDG","schema_version":"1.0","canonical_sha256":"9f0ae010669a97c7d48d5290be4c11855705b24e718330d0de2c092eaa209aec","source":{"kind":"arxiv","id":"cond-mat/0106062","version":2},"attestation_state":"computed","paper":{"title":"Emptiness Formation Probability for the One-Dimensional Isotropic XY Model","license":"","headline":"","cross_cats":["hep-th","nlin.SI"],"primary_cat":"cond-mat.stat-mech","authors_text":"Masahiro Shiroishi, Minoru Takahashi, Yoshihiro Nishiyama","submitted_at":"2001-06-05T09:32:50Z","abstract_excerpt":"We study a correlation function for the one-dimensional isotropic ${XY}$ model (${XX0}$ model), which is called the Emptiness Formation Probability (EFP). It is the probability of the formation of a ferromagnetic string in the anti-ferromagnetic ground state. Using the expression of the EFP as a Toeplitz determinant, we discuss its asymptotic behaviors. We also compare the analytical results with numerical calculations as the density-matrix renormalization group and the quantum Monte-Carlo method."},"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/0106062","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-06-05T09:32:50Z","cross_cats_sorted":["hep-th","nlin.SI"],"title_canon_sha256":"20d20ae773eb423f583bdba7a4744bf9a2d6d0a271260587fccf64d6a4e20ea9","abstract_canon_sha256":"10104aa77d55766d3de7b612aaccc18f512bf3203be902acf2c432967c4976dc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:25:39.902224Z","signature_b64":"hWkUevweM7Yk3+Iu/s9lc1+DBAeriODkd+01jEckFMK4zDaMZ2t+kGX7nmtRFSQIKXBltSeiGGFXKDXlC0f4AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f0ae010669a97c7d48d5290be4c11855705b24e718330d0de2c092eaa209aec","last_reissued_at":"2026-07-04T16:25:39.901812Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:25:39.901812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Emptiness Formation Probability for the One-Dimensional Isotropic XY Model","license":"","headline":"","cross_cats":["hep-th","nlin.SI"],"primary_cat":"cond-mat.stat-mech","authors_text":"Masahiro Shiroishi, Minoru Takahashi, Yoshihiro Nishiyama","submitted_at":"2001-06-05T09:32:50Z","abstract_excerpt":"We study a correlation function for the one-dimensional isotropic ${XY}$ model (${XX0}$ model), which is called the Emptiness Formation Probability (EFP). It is the probability of the formation of a ferromagnetic string in the anti-ferromagnetic ground state. Using the expression of the EFP as a Toeplitz determinant, we discuss its asymptotic behaviors. We also compare the analytical results with numerical calculations as the density-matrix renormalization group and the quantum Monte-Carlo method."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0106062","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0106062/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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/0106062","created_at":"2026-07-04T16:25:39.901872+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0106062v2","created_at":"2026-07-04T16:25:39.901872+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0106062","created_at":"2026-07-04T16:25:39.901872+00:00"},{"alias_kind":"pith_short_12","alias_value":"T4FOAEDGTKL4","created_at":"2026-07-04T16:25:39.901872+00:00"},{"alias_kind":"pith_short_16","alias_value":"T4FOAEDGTKL4PVEN","created_at":"2026-07-04T16:25:39.901872+00:00"},{"alias_kind":"pith_short_8","alias_value":"T4FOAEDG","created_at":"2026-07-04T16:25:39.901872+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.02809","citing_title":"Matrix Elements of Fermionic Gaussian Operators in Arbitrary Pauli Bases: A Pfaffian Formula","ref_index":43,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/T4FOAEDGTKL4PVENKKIL4TARQV","json":"https://pith.science/pith/T4FOAEDGTKL4PVENKKIL4TARQV.json","graph_json":"https://pith.science/api/pith-number/T4FOAEDGTKL4PVENKKIL4TARQV/graph.json","events_json":"https://pith.science/api/pith-number/T4FOAEDGTKL4PVENKKIL4TARQV/events.json","paper":"https://pith.science/paper/T4FOAEDG"},"agent_actions":{"view_html":"https://pith.science/pith/T4FOAEDGTKL4PVENKKIL4TARQV","download_json":"https://pith.science/pith/T4FOAEDGTKL4PVENKKIL4TARQV.json","view_paper":"https://pith.science/paper/T4FOAEDG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0106062&json=true","fetch_graph":"https://pith.science/api/pith-number/T4FOAEDGTKL4PVENKKIL4TARQV/graph.json","fetch_events":"https://pith.science/api/pith-number/T4FOAEDGTKL4PVENKKIL4TARQV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T4FOAEDGTKL4PVENKKIL4TARQV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T4FOAEDGTKL4PVENKKIL4TARQV/action/storage_attestation","attest_author":"https://pith.science/pith/T4FOAEDGTKL4PVENKKIL4TARQV/action/author_attestation","sign_citation":"https://pith.science/pith/T4FOAEDGTKL4PVENKKIL4TARQV/action/citation_signature","submit_replication":"https://pith.science/pith/T4FOAEDGTKL4PVENKKIL4TARQV/action/replication_record"}},"created_at":"2026-07-04T16:25:39.901872+00:00","updated_at":"2026-07-04T16:25:39.901872+00:00"}