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The tilts $\\xi_{j},\\theta_{i}$ enter only through an oblique projection that multiplies the trace-class kernel $K$ inside the Fredholm determinant; the BOGC operator $A=I-K$ constructed from $\\varphi$ is unchanged.\n  Baik-Liao-Liu (arXiv:2603.01964) and Liu-Tripathi (arXiv:2604.24747) have recently shown that the same til"},"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":"2605.24976","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2026-05-24T10:14:14Z","cross_cats_sorted":["math.CA","math.PR"],"title_canon_sha256":"fb2ca3ba6c174cf8291e17da514c945a0278700e21ba070d2aeeff2ebf48c44f","abstract_canon_sha256":"2acc01761dd20e3f842ca832f31f8b4b99f51e7f8c1e5e9f2cb0e6e4daf41260"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T01:04:08.937907Z","signature_b64":"8I4NzvbxPFkaMYXgFXO9po3qlrJYvUFhCq8fN4CpJCVGCGhwCsw5Pz4oJAGF9YtpF2qlXe9DNhCwZoZArydpDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5969c060874b0df0e11e51854c38a5838c7b2ab3ad2e57b5a0a737db3b6a2053","last_reissued_at":"2026-05-26T01:04:08.937130Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T01:04:08.937130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Borodin-Okounkov-Geronimo-Case identity for tilted Toeplitz minors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.PR"],"primary_cat":"math.FA","authors_text":"Leonid Petrov","submitted_at":"2026-05-24T10:14:14Z","abstract_excerpt":"We prove a Fredholm determinantal identity for the tilted Toeplitz minor $$ D_{N}^{\\xi,\\theta}(\\varphi):= \\det\\bigl[(\\theta_{i}\\xi_{j}\\varphi)_{i-j}\\bigr]_{i,j=1}^{N}, $$ generalizing the Borodin-Okounkov-Geronimo-Case (BOGC) identity to oblique splittings of the Hardy space. 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