{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:SR4JNBIV6XHA3QIGIABBME5RFF","short_pith_number":"pith:SR4JNBIV","schema_version":"1.0","canonical_sha256":"9478968515f5ce0dc10640021613b12962ad21b4699cdf2db8f03587a2e137d4","source":{"kind":"arxiv","id":"1011.5897","version":3},"attestation_state":"computed","paper":{"title":"Riemann--Hilbert approach to the time-dependent generalized sine kernel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.FA","math.MP"],"primary_cat":"math-ph","authors_text":"K. K. Kozlowski","submitted_at":"2010-11-25T22:45:11Z","abstract_excerpt":"We derive the leading asymptotic behavior and build a new series representation for the Fredholm determinant of integrable integral operators appearing in the representation of the time and distance dependent correlation functions of integrable models described by a six-vertex R-matrix. This series representation opens a systematic way for the computation of the long-time, long-distance asymptotic expansion for the correlation functions of the aforementioned integrable models away from their free fermion point. Our method builds on a Riemann--Hilbert based analysis."},"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":"1011.5897","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-11-25T22:45:11Z","cross_cats_sorted":["math.CA","math.FA","math.MP"],"title_canon_sha256":"25141fbbe74470b9a79058e5d6c1937eeb68df1365d9daa5800371feca62e4f8","abstract_canon_sha256":"0e9d617428f6d8cf263e7bbcaf139687cf292d443f36f01d1e42eb0edcd3596f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:34.147936Z","signature_b64":"ZyZ5pfOKnZpD5p7LOEyI2cAGdn8EPZFx4vRj6HOx2df+cSZMUQWU4m1bfgoyoZ5cFIFrwXzz+uJoQIEjLxRNAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9478968515f5ce0dc10640021613b12962ad21b4699cdf2db8f03587a2e137d4","last_reissued_at":"2026-05-18T02:17:34.147157Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:34.147157Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Riemann--Hilbert approach to the time-dependent generalized sine kernel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.FA","math.MP"],"primary_cat":"math-ph","authors_text":"K. K. Kozlowski","submitted_at":"2010-11-25T22:45:11Z","abstract_excerpt":"We derive the leading asymptotic behavior and build a new series representation for the Fredholm determinant of integrable integral operators appearing in the representation of the time and distance dependent correlation functions of integrable models described by a six-vertex R-matrix. This series representation opens a systematic way for the computation of the long-time, long-distance asymptotic expansion for the correlation functions of the aforementioned integrable models away from their free fermion point. Our method builds on a Riemann--Hilbert based analysis."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.5897","kind":"arxiv","version":3},"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":"1011.5897","created_at":"2026-05-18T02:17:34.147291+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.5897v3","created_at":"2026-05-18T02:17:34.147291+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.5897","created_at":"2026-05-18T02:17:34.147291+00:00"},{"alias_kind":"pith_short_12","alias_value":"SR4JNBIV6XHA","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_16","alias_value":"SR4JNBIV6XHA3QIG","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_8","alias_value":"SR4JNBIV","created_at":"2026-05-18T12:26:13.927090+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/SR4JNBIV6XHA3QIGIABBME5RFF","json":"https://pith.science/pith/SR4JNBIV6XHA3QIGIABBME5RFF.json","graph_json":"https://pith.science/api/pith-number/SR4JNBIV6XHA3QIGIABBME5RFF/graph.json","events_json":"https://pith.science/api/pith-number/SR4JNBIV6XHA3QIGIABBME5RFF/events.json","paper":"https://pith.science/paper/SR4JNBIV"},"agent_actions":{"view_html":"https://pith.science/pith/SR4JNBIV6XHA3QIGIABBME5RFF","download_json":"https://pith.science/pith/SR4JNBIV6XHA3QIGIABBME5RFF.json","view_paper":"https://pith.science/paper/SR4JNBIV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.5897&json=true","fetch_graph":"https://pith.science/api/pith-number/SR4JNBIV6XHA3QIGIABBME5RFF/graph.json","fetch_events":"https://pith.science/api/pith-number/SR4JNBIV6XHA3QIGIABBME5RFF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SR4JNBIV6XHA3QIGIABBME5RFF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SR4JNBIV6XHA3QIGIABBME5RFF/action/storage_attestation","attest_author":"https://pith.science/pith/SR4JNBIV6XHA3QIGIABBME5RFF/action/author_attestation","sign_citation":"https://pith.science/pith/SR4JNBIV6XHA3QIGIABBME5RFF/action/citation_signature","submit_replication":"https://pith.science/pith/SR4JNBIV6XHA3QIGIABBME5RFF/action/replication_record"}},"created_at":"2026-05-18T02:17:34.147291+00:00","updated_at":"2026-05-18T02:17:34.147291+00:00"}