/* Shared RLT publication template, copied from index.html at d0b24c4.
 * https://github.com/yifanzhang-pro/recurrent-looped-tranformer
 * Keep KLPO-specific additions in style.css. */
/* ===== Monochrome system (OpenAI x SpaceX) — skins existing markup ===== */
    :root{
      --bg:#FFFFFF; --bg-subtle:#F7F7F5; --bg-subtle-2:#EFEFEC;
      --ink:#0A0A0A; --ink-2:#3A3A3A; --ink-3:#6B6B6B; --line:#E7E7E3;
      --d-bg:#0A0A0A; --d-ink:#FFFFFF; --d-ink-2:rgba(255,255,255,.62);
      --d-ink-3:rgba(255,255,255,.42); --d-line:rgba(255,255,255,.14);
      --nav-h:68px; --maxw:1120px; --readw:1120px; --ease:cubic-bezier(.22,.61,.36,1);
      --primary-color:#0A0A0A; --accent-color:#0A0A0A; --content-bg:#F7F7F5;
      --border-color:#E7E7E3; --text-main:#3A3A3A; --text-on-primary:#FFFFFF;
      --link-color:#0A0A0A; --link-hover-color:#0A0A0A; --primary-color-rgb:10,10,10; --link-color-rgb:10,10,10;
    }
    *,*::before,*::after{box-sizing:border-box}
    html{scroll-behavior:smooth;-webkit-text-size-adjust:100%}
    body{margin:0;font-family:'Inter',system-ui,-apple-system,Segoe UI,Roboto,Arial,sans-serif;
      background:var(--bg);color:var(--ink);line-height:1.6;overflow-x:hidden;display:flex;flex-direction:column;min-height:100vh;
      text-rendering:optimizeLegibility;-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale}
    a{color:inherit;text-decoration:none} img{max-width:100%;display:block} ::selection{background:var(--ink);color:var(--bg)}
    body.nav-open{overflow:hidden}
    .container{width:100%;max-width:var(--maxw);margin:0 auto;padding-inline:clamp(1.25rem,5vw,3rem)}
    .section.content-section .container{max-width:var(--readw)}
    .has-text-centered{text-align:center!important} .has-text-justified{text-align:justify}
    .has-text-grey{color:var(--ink-3)!important} .is-italic{font-style:italic}
    .has-text-weight-bold{font-weight:700} .has-text-weight-medium{font-weight:500}
    .is-size-3{font-size:1.5rem} .is-size-4{font-size:1.3rem} .is-size-5{font-size:1.15rem} .is-size-6{font-size:1rem} .is-size-7{font-size:.82rem}
    .mb-6{margin-bottom:1.5rem!important} .mt-3{margin-top:.75rem!important} .mt-5{margin-top:1.25rem!important} .mt-6{margin-top:2rem!important}
    .my-4{margin-top:1rem!important;margin-bottom:1rem!important} .my-5{margin-top:1.5rem!important;margin-bottom:1.5rem!important}
    .tight{margin-top:.5rem!important;margin-bottom:.75rem!important}
    .icon{display:inline-flex;align-items:center;justify-content:center}
    hr{border:0;border-top:1px solid var(--line);margin:1rem 0}

    /* Nav */
    .navbar{position:fixed;inset:0 0 auto 0;z-index:200;height:var(--nav-h);display:flex;align-items:center;background:transparent;
      border-bottom:1px solid transparent;transition:background .4s var(--ease),border-color .4s var(--ease),backdrop-filter .4s var(--ease)}
    .navbar>.container{display:flex;align-items:center;justify-content:space-between}
    .navbar-brand{display:flex;align-items:center;position:relative;z-index:160;min-height:auto}
    .navbar-brand .navbar-item{font-family:'Space Grotesk',sans-serif;font-weight:600;font-size:1.05rem;letter-spacing:.14em;
      text-transform:uppercase;color:var(--d-ink);padding:0;background:transparent!important;transition:color .4s var(--ease)}
    .navbar-menu{display:flex;box-shadow:none;background:transparent;padding:0} .navbar-end{display:flex;align-items:center;gap:1.8rem;margin-left:auto}
    .navbar-menu .navbar-item{position:relative;font-size:.78rem;font-weight:600;letter-spacing:.12em;text-transform:uppercase;
      color:var(--d-ink-2);padding:.25rem 0;background:transparent!important;transition:color .25s var(--ease)}
    .navbar-menu .navbar-item::after{content:"";position:absolute;left:0;right:0;bottom:-4px;height:1px;background:currentColor;
      transform:scaleX(0);transform-origin:left;transition:transform .3s var(--ease)}
    .navbar-menu .navbar-item:hover{color:var(--d-ink)} .navbar-menu .navbar-item:hover::after{transform:scaleX(1)}
    .navbar.is-scrolled{background:rgba(255,255,255,.82);backdrop-filter:saturate(180%) blur(20px);
      -webkit-backdrop-filter:saturate(180%) blur(20px);border-bottom-color:var(--line)}
    .navbar.is-scrolled .navbar-brand .navbar-item{color:var(--ink)}
    .navbar.is-scrolled .navbar-menu .navbar-item{color:var(--ink-3)}
    .navbar.is-scrolled .navbar-menu .navbar-item:hover{color:var(--ink)}
    .navbar-burger{display:none;position:relative;width:44px;height:44px;margin:0;background:none;border:0;cursor:pointer}
    .navbar-burger span{position:absolute;left:13px;width:18px;height:1.5px;background:var(--d-ink);
      transition:transform .35s var(--ease),opacity .2s var(--ease),background .4s var(--ease)}
    .navbar-burger span:nth-child(1){top:18px} .navbar-burger span:nth-child(2){top:23px} .navbar-burger span:nth-child(3){top:28px}
    .navbar.is-scrolled .navbar-burger span{background:var(--ink)}
    .navbar-burger.is-active span{background:var(--d-ink)!important}
    .navbar-burger.is-active span:nth-child(1){top:23px;transform:rotate(45deg)}
    .navbar-burger.is-active span:nth-child(2){opacity:0}
    .navbar-burger.is-active span:nth-child(3){top:23px;transform:rotate(-45deg)}

    /* Hero */
    .hero{position:relative;background:var(--d-bg);color:var(--d-ink);overflow:hidden;padding-top:var(--nav-h);
      min-height:62vh;min-height:62svh;display:flex;align-items:center}
    .hero::before{content:"";position:absolute;inset:0;
      background-image:linear-gradient(to right,rgba(255,255,255,.045) 1px,transparent 1px),linear-gradient(to bottom,rgba(255,255,255,.045) 1px,transparent 1px);
      background-size:64px 64px;-webkit-mask-image:radial-gradient(ellipse 85% 75% at 50% 40%,#000 25%,transparent 78%);
      mask-image:radial-gradient(ellipse 85% 75% at 50% 40%,#000 25%,transparent 78%)}
    .hero::after{content:"";position:absolute;left:50%;top:38%;transform:translate(-50%,-50%);width:80vw;height:80vw;
      max-width:1000px;max-height:1000px;background:radial-gradient(circle,rgba(255,255,255,.11),transparent 62%);pointer-events:none}
    .hero-body{position:relative;z-index:1;width:100%;padding-block:clamp(2.5rem,7vh,4.5rem)}
    .hero .title{font-family:'Space Grotesk',sans-serif;font-weight:500;letter-spacing:-.035em;line-height:1.02;
      color:var(--d-ink);font-size:clamp(2.4rem,6vw,4.6rem);margin-bottom:0}
    .hero .subtitle{color:var(--d-ink-2)}
    .hero .subtitle.is-hero-subtitle{color:var(--d-ink-2);font-size:clamp(1.05rem,1.7vw,1.35rem);max-width:820px;margin:1.2rem auto 0;font-weight:400;line-height:1.55}
    .hero .subtitle .highlight{color:var(--d-ink);font-weight:500}
    .hero .subtitle.is-4,.hero .subtitle.is-5{font-size:1.05rem;font-weight:500;margin-top:1.2rem;line-height:1.55}
    .hero .subtitle.is-6{font-size:.85rem;margin-top:.4rem}
    .hero .subtitle a,.authors-list a{color:var(--d-ink);border-bottom:1px solid var(--d-line)}
    .hero .subtitle a:hover,.authors-list a:hover{border-bottom-color:var(--d-ink)}
    .authors-list{font-size:1.02rem;line-height:1.7;margin-top:1.6rem;color:var(--d-ink-2);font-weight:500}
    .affiliations{font-size:.78rem;letter-spacing:.16em;text-transform:uppercase;color:var(--d-ink-3);margin-top:.7rem}
    .project-links{margin-top:1.6rem}
    .project-links a{color:var(--d-ink-2);font-size:1.2rem;margin:0 .55rem;transition:color .2s var(--ease),transform .2s var(--ease)}
    .project-links a:hover{color:var(--d-ink);transform:translateY(-2px)}
    .pill{display:inline-block;padding:.4rem .85rem;border-radius:100px;font-size:.68rem;font-weight:600;letter-spacing:.1em;
      text-transform:uppercase;background:transparent;color:var(--d-ink-2);border:1px solid var(--d-line);margin:.22rem .2rem}

    /* Sections / body */
    .section.content-section{padding-block:clamp(3.5rem,8vh,6rem);border-bottom:1px solid var(--line)}
    .section.content-section:nth-child(even){background:var(--bg-subtle)}
    .section.content-section:last-of-type{border-bottom:none}
    .section-title,.title.is-3.section-title{font-family:'Space Grotesk',sans-serif;font-weight:600;letter-spacing:-.03em;line-height:1.1;
      color:var(--ink);font-size:clamp(1.7rem,3.6vw,2.3rem);margin-bottom:1.75rem!important;text-align:left!important}
    .content{max-width:var(--readw);margin:0 auto;line-height:1.8;font-size:1.06rem;color:var(--ink-2)}
    .content .title.is-4,.title.is-4,.content h3{font-family:'Space Grotesk',sans-serif;font-weight:600;letter-spacing:-.02em;color:var(--ink);font-size:1.3rem;margin:2.1rem 0 1rem}
    .content .title.is-5,.title.is-5,.content h4{font-family:'Space Grotesk',sans-serif;font-weight:600;color:var(--ink);font-size:1.12rem;margin:1.6rem 0 .6rem;line-height:1.3}
    .content p{margin-bottom:1.2rem;color:var(--ink-2)} .content strong{color:var(--ink);font-weight:600}
    .content a{color:var(--ink);border-bottom:1px solid var(--ink-3);font-weight:500;transition:border-color .2s var(--ease)}
    .content a:hover{border-bottom-color:var(--ink)}
    .content ul,.content ol{margin:0 0 1.2rem 1.4rem} .content li{margin-bottom:.5rem;color:var(--ink-2)}
    .content img{display:block;margin:1.75rem auto;max-width:100%;border:1px solid var(--line);border-radius:12px}
    .content figure{margin:1.75rem auto;text-align:center;max-width:100%}
    .content figure img,figure img{margin:0 auto .6rem}
    figcaption,.content figcaption{color:var(--ink-3);font-size:.85rem;line-height:1.6;max-width:820px;margin:.4rem auto 0}
    .math-block{margin:1.6rem 0;overflow-x:auto;text-align:center}
    .content pre,pre{background:var(--d-bg);color:#E7E7E3;border:1px solid var(--line);border-radius:12px;padding:1.2em 1.3em;overflow:auto;font-size:.9rem;margin:1.4rem 0;line-height:1.65}
    code{background:var(--bg-subtle-2);color:var(--ink);padding:.16em .4em;border-radius:5px;font-size:85%}
    pre code{background:transparent;color:inherit;padding:0;font-size:inherit}
    .notification{position:relative;background:var(--bg-subtle);border-radius:0 10px 10px 0;padding:1.1rem 1.4rem;margin:1.6rem 0;color:var(--ink-2)}
    .message{background:var(--bg-subtle);border-left:2px solid var(--ink);border-radius:0 10px 10px 0;margin:1.6rem 0}
    .message-body{padding:1.1rem 1.4rem;color:var(--ink-2);border:0}
    .box{background:var(--bg);border:1px solid var(--line);border-radius:12px;padding:1.5rem;margin:1rem 0;box-shadow:none;color:var(--ink-2)}
    .has-background-light{background:var(--bg-subtle)!important}
    .pillar-box,.book-item{background:var(--bg);border:1px solid var(--line);border-radius:12px;padding:1.25rem;height:100%;color:var(--ink-2);transition:transform .2s var(--ease),box-shadow .2s var(--ease)}
    .book-item{font-size:.92rem;text-align:center}
    .pillar-box:hover,.book-item:hover{transform:translateY(-3px);box-shadow:0 12px 28px rgba(10,10,10,.06)}
    .section.content-section:nth-child(even) :is(.notification,.message,.box,.pillar-box,.book-item,.diagram-container){background:#fff}
    .columns{display:flex;flex-wrap:wrap;gap:1.5rem;margin:1rem 0} .columns.is-centered{justify-content:center} .columns.is-vcentered{align-items:center}
    .column{flex:1 1 0;min-width:0;padding:0}
    .column.is-4{flex:0 0 calc(33.333% - 1rem)} .column.is-5{flex:0 0 calc(41.666% - .75rem)}
    .column.is-6,.column.is-half{flex:0 0 calc(50% - .75rem)} .column.is-one-quarter-desktop{flex:0 0 calc(25% - 1.125rem)}
    .table-container{overflow-x:auto;margin:2rem 0;border:1px solid var(--line);border-radius:12px}
    table.table,.table{width:100%;border-collapse:collapse;background:var(--bg);margin:0}
    table.table th,.table th{background:var(--bg-subtle);color:var(--ink);font-weight:600;padding:1rem;text-align:left;border-bottom:2px solid var(--line)}
    table.table td,.table td{padding:1rem;border-bottom:1px solid var(--line);color:var(--ink-2);vertical-align:top}
    table.table tr:last-child td{border-bottom:none}
    .diagram-container{width:100%;margin:2rem 0;text-align:center;background:var(--bg);border:1px solid var(--line);border-radius:12px;padding:1.5rem;display:block}
    .diagram-container img{border:0;margin:0 auto}
    .mini-caption{display:block;margin-top:.6rem;color:var(--ink-3);font-style:italic;font-size:.85rem;text-align:center}
    .profile-image{width:100%;max-width:280px;aspect-ratio:1;object-fit:cover;border-radius:14px;border:1px solid var(--line);filter:grayscale(1)}
    svg text{font-family:'Inter',sans-serif}
    .button{display:inline-flex;align-items:center;gap:.5rem;padding:.6rem 1.1rem;border:1px solid var(--ink);border-radius:100px;
      background:transparent;color:var(--ink);font-family:inherit;font-size:.72rem;font-weight:600;letter-spacing:.12em;text-transform:uppercase;
      cursor:pointer;transition:background .2s var(--ease),color .2s var(--ease);margin:.25rem}
    .button:hover,.button.is-primary,.button.is-success{background:var(--ink);color:var(--bg)!important;border-color:var(--ink)}

    /* Footer */
    .footer{background:var(--d-bg);color:var(--d-ink-2);padding-block:clamp(2.5rem,5vw,4rem);margin-top:auto;border-top:1px solid var(--d-line)}
    .footer .content{max-width:var(--maxw);color:var(--d-ink-2)}
    .footer .content p:first-child{font-size:.78rem;font-weight:600;letter-spacing:.1em;text-transform:uppercase;margin-bottom:1rem;line-height:2.1}
    .footer a{color:var(--d-ink-2);font-weight:600;transition:color .2s var(--ease)} .footer a:hover{color:var(--d-ink)}
    .footer .content p:last-child{font-size:.85rem;color:var(--d-ink-3);letter-spacing:0;text-transform:none;font-weight:400}

    @media(max-width:1023px){ .column.is-half-tablet,.column.is-one-quarter-desktop{flex:0 0 calc(50% - .75rem)} }
    @media(max-width:820px){
      .navbar-burger{display:block}
      .navbar-menu{position:fixed;inset:0;background:var(--d-bg);flex-direction:column;justify-content:center;align-items:center;gap:1.5rem;
        opacity:0;visibility:hidden;transform:translateY(-8px);z-index:150;transition:opacity .4s var(--ease),transform .4s var(--ease),visibility .4s}
      .navbar-menu.is-active{opacity:1;visibility:visible;transform:none}
      .navbar-end{flex-direction:column;gap:1.5rem;margin-left:0}
      .navbar-menu .navbar-item{font-family:'Space Grotesk',sans-serif;font-size:1.4rem;font-weight:500;letter-spacing:-.01em;text-transform:none}
      .navbar-menu .navbar-item::after{display:none}
      .column,.column.is-4,.column.is-5,.column.is-6,.column.is-half,.column.is-half-tablet,.column.is-one-quarter-desktop{flex:1 1 100%}
    }
    @media (prefers-reduced-motion: reduce){ html{scroll-behavior:auto} }

/* RLT content and accessible navigation. */
section[id]{scroll-margin-top:88px}
a:focus-visible,button:focus-visible,summary:focus-visible{outline:3px solid #737373;outline-offset:5px}
.skip-link{position:fixed;top:-100px;left:16px;z-index:500;background:white;color:black;padding:12px}
.skip-link:focus{top:12px}
.hero .title{max-width:900px;margin:0 auto;font-size:clamp(2.7rem,7vw,5.6rem)}
.eyebrow{font-size:.72rem;text-transform:uppercase;letter-spacing:.22em;color:var(--d-ink-2);margin:0 0 1.4rem}
.hero-links{display:flex;justify-content:center;flex-wrap:wrap;gap:.65rem;margin-top:1.8rem}
.hero-links .button{border-color:var(--d-line);color:white;margin:0;font-size:.72rem}
.hero-links .button:hover,.hero-links .button.primary{background:white;color:#0a0a0a!important;border-color:white}
.pillar-number{font-size:.75rem;letter-spacing:.15em;color:var(--ink-3)}
.content .pillar-box h3{margin:.6rem 0 1rem}
.content .pillar-box p{margin:0;font-size:.95rem;line-height:1.7}
.architecture{border:1px solid var(--line);border-radius:12px;padding:clamp(1rem,4vw,2.5rem);background:var(--bg);margin:2rem 0}
.architecture-top{display:grid;grid-template-columns:1fr auto 1fr;align-items:center;gap:1rem}
.arch-box{border:1px solid var(--line);padding:1.25rem;text-align:center;border-radius:8px}
.arch-box strong,.arch-box span{display:block}.arch-box span{font-size:.85rem;color:var(--ink-3);margin-top:.5rem}
.arch-state{background:var(--d-bg);color:white;padding:1.5rem;margin-top:1.25rem;border-radius:8px;text-align:center}
.arch-state strong{color:white}.arch-state p{color:#c8c8c8;margin:.5rem 0 0;font-size:.9rem}
.architecture figcaption{margin-top:1.2rem;text-align:left}
.math-block{padding:.5rem 0}.math-block mjx-container{max-width:none!important}
#copy-status{font-size:.85rem;min-height:1.5em;color:var(--ink-3)}
.navbar-brand{justify-content:space-between}.navbar-burger{z-index:220}
@media(max-width:820px){
.navbar-brand{width:100%}.navbar.nav-expanded{background:#0a0a0a}
.navbar.nav-expanded .navbar-brand .navbar-item,.navbar.nav-expanded .navbar-menu .navbar-item{color:white}
.navbar-menu{inset:68px 0 0}.navbar-end{gap:1.3rem}
.architecture-top{grid-template-columns:1fr}.arch-arrow{transform:rotate(90deg);text-align:center}
}
@media(prefers-reduced-motion:reduce){*,*::before,*::after{transition:none!important;animation:none!important}}
/* Experiment tables and expandable full-resolution figures. */
.content img{height:auto}
.table caption{padding:1rem;text-align:left;color:var(--ink-3);font-size:.9rem}
.results-table{min-width:960px;font-size:.82rem;font-variant-numeric:tabular-nums}
.results-table th,.results-table td{padding:.85rem .65rem}
.results-table td{white-space:nowrap}
.figure-details{border:1px solid var(--line);border-radius:12px;margin:1.5rem 0;padding:1rem 1.25rem;background:var(--bg)}
.figure-details summary{cursor:pointer;font-weight:600;color:var(--ink)}
.figure-details[open] summary{margin-bottom:1rem}
.table-container:focus-visible{outline:3px solid #737373;outline-offset:3px}