diff --git a/spherical_perceptron_bi_orthogonal_v2.txt b/spherical_perceptron_bi_orthogonal_v2.txt
index cc15e29..8b6dbb3 100644
--- a/spherical_perceptron_bi_orthogonal_v2.txt
+++ b/spherical_perceptron_bi_orthogonal_v2.txt
@@ -43,8 +43,8 @@ potentials with independent Gaussian patterns; the rigorous theorems
 concern the performance of approximate-message-passing algorithms.
 These papers predict an overlap hierarchy beyond the regime described
 by a single scalar order parameter. The variational formula retains this hierarchy as a matrix-valued overlap path.
-./pdf/refs/arxiv-gyorgyi-reimann-0003360.pdf
-./pdf/refs/arxiv-2406.02970v3.pdf
+./pdf/arxiv-gyorgyi-reimann-0003360.pdf
+./pdf/arxiv-2406.02970v3.pdf
 
 Prescribed singular spectra and independent Haar singular bases already
 appear in Kabashima's framework for inference from correlated patterns
@@ -58,9 +58,9 @@ Rademacher complexity. These are direct predecessors of the spectral
 model just described. A full matrix-path variational problem
 delivers a limiting pressure for bounded continuous potentials with
 compact limiting singular spectrum and no outliers.
-./pdf/refs/kabashima-2008.pdf
-./pdf/refs/arxiv-panchenko-vector.pdf
-./pdf/refs/abbara-et-al-2020-pmlr.pdf
+./pdf/kabashima-2008.pdf
+./pdf/arxiv-panchenko-vector.pdf
+./pdf/abbara-et-al-2020-pmlr.pdf
 
 Two obstructions separate the Gaussian perceptron calculation from the
 present model. First, fixing the singular values makes the matrix
@@ -89,7 +89,7 @@ compact groups $U(N)$, $O(N)$ and $USp(2N)$ with probability
 distributions given by the respective invariant measures" and the
 algorithm is "straightforward to implement using standard linear
 algebra packages." Only the $O(N)$ case is needed.
-./pdf/refs/arxiv-mezzadri-0609050.pdf
+./pdf/arxiv-mezzadri-0609050.pdf
 
 The remaining Gaussian problem involves several Stiefel columns, with
 one column shared at an intermediate level of a cascade. Its upper
@@ -104,11 +104,11 @@ the number of patterns and the field parameters are matrix covariance
 increments on the active Stiefel coordinates. The
 proof establishes the corresponding contact identities while
 retaining the prescribed sharing of one coordinate.
-./pdf/refs/arxiv-2004.01679v8.pdf
-./pdf/refs/arxiv-2010.09114v2.pdf
-./pdf/refs/arxiv-1906.08471v2.pdf
-./pdf/refs/mourrat-panchenko-2020.pdf
-./pdf/refs/aizenman-sims-starr-2003-cond-mat-0306386.pdf
+./pdf/arxiv-2004.01679v8.pdf
+./pdf/arxiv-2010.09114v2.pdf
+./pdf/arxiv-1906.08471v2.pdf
+./pdf/mourrat-panchenko-2020.pdf
+./pdf/aizenman-sims-starr-2003-cond-mat-0306386.pdf
 
 The matrix overlap argument draws on Panchenko's vector-spin
 synchronisation theory and its enriched formulation in Mourrat's
@@ -117,8 +117,8 @@ appear in Ko's paper on the Crisanti-Sommers formula for vector spins,
 and the scalar spherical cascade transform is computed by Mourrat. The
 entropy includes the change of active spin space at the sharing
 level, which the scalar formula does not cover.
-./pdf/refs/arxiv-panchenko-vector.pdf
-./pdf/refs/arxiv-1911.04355.pdf
+./pdf/arxiv-panchenko-vector.pdf
+./pdf/arxiv-1911.04355.pdf
 
 The probabilistic framework is the cascade and overlap theory of spin
 glasses. Ruelle introduced the probability cascades that generate the
@@ -131,7 +131,7 @@ enter where the matrix symmetry of the overlap is proved. The argument
 keeps an independent residual Gaussian noise on every visit
 to a cascade leaf and verifies the marking rules for the fractional
 moments and zero restrictions. ./refs/ghirlanda-guerra-1998.pdf
-./pdf/refs/panchenko-2013.pdf
+./pdf/panchenko-2013.pdf
 
 The singular values of $A$ describe the strength and rank of the
 measurements. Write $s_{N,1}\ge\cdots\ge s_{N,r_N}$ for the singular
@@ -412,11 +412,11 @@ The required form of the ultrametric summary is the version proved by
 Panchenko for vector spins and for the Potts spin glass, together
 with the marked-cascade rules of Panchenko-Talagrand and Bolthausen-
 Sznitman.
-./pdf/refs/arxiv-panchenko-vector.pdf
-./pdf/refs/panchenko-2013.pdf
-./pdf/refs/arxiv-1512.00370v3.pdf
-./pdf/refs/mourrat-panchenko-2020.pdf
-./pdf/refs/arxiv-2004.01679v8.pdf
+./pdf/arxiv-panchenko-vector.pdf
+./pdf/panchenko-2013.pdf
+./pdf/arxiv-1512.00370v3.pdf
+./pdf/mourrat-panchenko-2020.pdf
+./pdf/arxiv-2004.01679v8.pdf
 
 Matrix quantiles. Dense first-power quadratic forms determine each
 matrix once symmetry is known. Dense quadratic forms therefore give
@@ -569,9 +569,9 @@ this trial, uniformly in $q$; taking the infimum over $q$ gives the
 theorem. The comparison follows Mourrat's supersolution method for
 mean-field spin glasses with vector spins, adapted to the
 nonlinear pattern Hamiltonian.
-./pdf/refs/arxiv-2004.01679v8.pdf
-./pdf/refs/arxiv-2010.09114v2.pdf
-./pdf/refs/arxiv-1906.08471v2.pdf
+./pdf/arxiv-2004.01679v8.pdf
+./pdf/arxiv-2010.09114v2.pdf
+./pdf/arxiv-1906.08471v2.pdf
 
 Enrich the model. Add independent linear Gaussian fields with
 covariance levels tied to $q$. Replace the deterministic pattern
@@ -684,8 +684,8 @@ $M+\ell$ for a fixed cavity size $\ell$ large compared to $1$ and tiny
 compared to $M$. Compare the enlarged pressure with the base $M$
 pressure on the same disorder, using two restored patterns per
 increment.
-./pdf/refs/aizenman-sims-starr-2003-cond-mat-0306386.pdf
-./pdf/refs/arxiv-2311.08980v3.pdf
+./pdf/aizenman-sims-starr-2003-cond-mat-0306386.pdf
+./pdf/arxiv-2311.08980v3.pdf
 
 The cascade with only the outer split at $\theta$ and the same
 monomial perturbations (amplitude $s_M=M^{3/8}$) replaces the
@@ -928,7 +928,7 @@ probability at most $(C\epsilon)^M$. Take a fixed mesh for the upper
 bound and a mesh of order $\epsilon$ for the lower bound; the strict
 inequality $n/M\to p<1$ makes the small-ball exponent dominate the
 net size.
-./pdf/refs/arxiv-mezzadri-0609050.pdf
+./pdf/arxiv-mezzadri-0609050.pdf
 
 The volume Jacobian of $x\mapsto Gx$ on the coefficient sphere is
 $\sqrt{\det(G^TG)}$. Its logarithm divided by $M$ converges in
@@ -1036,7 +1036,7 @@ concentrate about the prescribed fractions; the failure bound is
 uniform in the fixed vector. Simultaneous concentration for all shell
 vectors is unnecessary. Thus each such vector lies in a slightly
 enlarged new $a$-shell with failure probability $\epsilon_M\to 0$.
-./pdf/refs/arxiv-1911.01061v5.pdf
+./pdf/arxiv-1911.01061v5.pdf
 
 Angular identity. Radial integration and Stirling's formula show that
 the weighted Lebesgue volume in $E_1\oplus\cdots\oplus E_h$ of a small
@@ -1300,7 +1300,7 @@ singular slots, not on output eigenvalues. The uniform lower bound
 $\inf_u Q(u)\ge 1/80$ is a Kashin-type spreading estimate for Haar
 frames; a norm-comparison restatement in the lasso analysis of Bayati
 and Montanari gives the same conclusion with explicit constants.
-./pdf/refs/bayati-montanari-lasso.pdf
+./pdf/bayati-montanari-lasso.pdf
 
 Counterexample: unbounded limiting spectrum. Let $d_k=\exp(8^k)$ and
 $\nu=\sum_{k\ge 1}2^{-k}\delta_{d_k}$ with unbounded support. For