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a11oy
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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1" />
<title>a11oy — Governed Inverse-PINN Console</title>
<!--
  Governed Inverse-PINN Console — runs the LIVE governed parameter-discovery
  engine at POST /api/a11oy/v1/pinn/identify and SHOWS the governance:
  the discovered parameter(s) with 95% CI, the GREEN/YELLOW/RED convergence
  badge, the FIM identifiability / self-doubt result (the REFUSAL is the hero
  honesty moment), the Lambda advisory (Conjecture 1, advisory, never a proof,
  never 1.0), the F19/Bekenstein check (PROVEN inequality APPLIED, not
  re-claimed), and the signed receipt + a verify link to the Khipu ledger.

  Doctrine v11 LOCKED. Values are MODELED (a fit to data, never MEASURED).
  Locked-proven = 8 {F1,F4,F7,F11,F12,F18,F19,F22}. Lambda = Conjecture 1.
  Pure HTML/JS/CSS — 0 runtime CDN, no server-side numpy. Reuses the
  pages/verify.html design system (CSS variables, JetBrains Mono, chips).
-->
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  /* ---- verdict banner ---- */
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  /* ---- conjecture chip ---- */
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</style>
</head>
<body>

<!-- ===== HEADER ===== -->
<header class="site-header">
  <svg class="logo-mark" viewBox="0 0 32 32" fill="none" aria-label="a11oy">
    <rect width="32" height="32" rx="7" fill="#1e3a8a"/>
    <path d="M8 24 L16 8 L24 24" stroke="#6c8ef5" stroke-width="2.5" stroke-linecap="round" stroke-linejoin="round" fill="none"/>
    <circle cx="16" cy="16" r="2.5" fill="#8aaaf8"/>
  </svg>
  <span class="site-title">a11oy</span>
  <span class="site-tagline">Governed Inference · Verifiable by Design</span>
  <a href="/console" class="nav-back">← Console</a>
</header>

<!-- ===== MAIN ===== -->
<main class="page">

  <div class="page-hero">
    <h1>Governed Inverse-PINN Console</h1>
    <p>
      Discover an unknown <strong>physical</strong> parameter of an ODE from data + physics —
      then watch the governance work. Every discovered value is <span class="chip chip-info">MODELED</span>
      (a fit to data, never MEASURED), carries a 95% confidence interval, a GREEN/YELLOW/RED convergence
      badge, a Fisher-information self-doubt gate that <em>refuses</em> non-identifiable parameters,
      a Λ advisory, an F19/Bekenstein plausibility check, and a signed Khipu receipt you can re-verify.
    </p>
    <span class="eq">Duffing oscillator&nbsp;&nbsp;m·x″ + c·x′ + δ·x + <strong>α</strong>·x³ = F·cos(ωt)&nbsp;&nbsp;— α is unknown</span>
  </div>

  <!-- ===== RUN ===== -->
  <section class="section">
    <div class="section-head">
      <h2><span class="section-label">Run</span> Identify a parameter</h2>
      <p>
        Two one-click cases hit the LIVE engine at <code>POST /api/a11oy/v1/pinn/identify</code>.
        The honesty story tells itself: one converges and asserts; one is non-identifiable and the engine refuses.
      </p>
    </div>
    <div class="section-body">
      <div class="btn-row">
        <button class="btn btn-green" id="btn-green" onclick="runIdentify('green')">
          Run Duffing demo (GREEN)
          <span class="btn-sub">identify α — converges, asserts with CI</span>
        </button>
        <button class="btn btn-red" id="btn-red" onclick="runIdentify('red')">
          Run non-identifiable case (RED — see it refuse)
          <span class="btn-sub">ask for α + a ghost param — engine REFUSES</span>
        </button>
      </div>
      <div id="status" class="status-line"></div>
    </div>
  </section>

  <!-- ===== RESULTS ===== -->
  <div id="results" class="hidden">

    <!-- convergence verdict -->
    <section class="section">
      <div class="section-head">
        <h2><span class="section-label">1</span> Convergence</h2>
        <p>The 3-state governance verdict from the causal-weight / gradient / FIM-conditioning criteria.</p>
      </div>
      <div class="section-body">
        <div id="verdict" class="verdict-banner verdict-dim">—</div>
        <div class="metric-grid" id="conv-metrics"></div>
      </div>
    </section>

    <!-- discovered params -->
    <section class="section">
      <div class="section-head">
        <h2><span class="section-label">2</span> Discovered parameter(s)</h2>
        <p>
          Each value is <span class="chip chip-info">MODELED</span> with a 95% CI. A parameter the
          self-doubt gate cannot support is <strong>REFUSED</strong> verbatim — no value invented.
        </p>
        <p class="moat-line">"We don't report what we can't support."</p>
      </div>
      <div class="section-body">
        <div id="params" class="param-grid"></div>
      </div>
    </section>

    <!-- self-doubt / FIM -->
    <section class="section">
      <div class="section-head">
        <h2><span class="section-label">3</span> Identifiability — the self-doubt gate</h2>
        <p>
          Fisher Information Matrix conditioning decides whether the data actually constrain the
          parameter. κ(FIM) → ∞ or Fisher below floor ⇒ <strong>UNIDENTIFIABLE</strong> ⇒ the engine refuses.
        </p>
      </div>
      <div class="section-body">
        <div class="metric-grid" id="fim-metrics"></div>
      </div>
    </section>

    <!-- lambda advisory -->
    <section class="section">
      <div class="section-head">
        <h2><span class="section-label">4</span> Λ advisory</h2>
        <p>
          A single advisory trust score. <span class="conj">Conjecture 1 — advisory, NOT a theorem</span>
          — capped ≤ 0.99, <strong>never a proof, never 1.0</strong>.
        </p>
      </div>
      <div class="section-body">
        <div style="display:flex; align-items:center; gap:24px; flex-wrap:wrap;">
          <div>
            <div class="lambda-big" id="lambda-val">—</div>
            <div class="small" id="lambda-status"></div>
          </div>
          <div class="small" id="lambda-basis" style="max-width:420px;"></div>
        </div>
        <div class="metric-grid" id="lambda-factors" style="margin-top:14px;"></div>
      </div>
    </section>

    <!-- bekenstein / F19 -->
    <section class="section">
      <div class="section-head">
        <h2><span class="section-label">5</span> F19 / Bekenstein check</h2>
        <p>
          The Bekenstein bound (F19) is a <strong>locked-proven inequality</strong> — here it is
          <em>applied</em>, not re-claimed. It checks the discovery doesn't encode more information
          than the system can physically hold.
        </p>
      </div>
      <div class="section-body">
        <div id="bek" class="small">—</div>
      </div>
    </section>

    <!-- receipt -->
    <section class="section">
      <div class="section-head">
        <h2><span class="section-label">6</span> Signed receipt + ledger</h2>
        <p>
          The discovery is sealed as a DSSE-enveloped Khipu receipt in the unified ledger organ
          <code>a11oy-pinn</code>. Signature state is shown exactly as returned — never faked.
        </p>
      </div>
      <div class="section-body">
        <div id="receipt"></div>
      </div>
    </section>
  </div>

  <!-- ===== HONESTY FOOTER ===== -->
  <section class="section">
    <div class="section-head">
      <h2><span class="section-label">Doctrine</span> Honest labels</h2>
      <p>What is proven, what is wired, what is advisory. The half-state — claiming more than is real — is the only unacceptable outcome.</p>
    </div>
    <div class="section-body">
      <div class="corpus-diagram">
        <div class="corpus-tier">
          <div class="corpus-count proven">8</div>
          <div class="corpus-tier-label">Locked-proven</div>
          <div class="corpus-tier-desc">No-axiom theorems {F1,F4,F7,F11,F12,F18,F19,F22}. F19 Bekenstein is one of them — applied here, not re-claimed.</div>
        </div>
        <div class="corpus-tier">
          <div class="corpus-count wired">~35</div>
          <div class="corpus-tier-label">Wired</div>
          <div class="corpus-tier-desc">Formulas wired into live governed surfaces (advisory / MODELED applications).</div>
        </div>
        <div class="corpus-tier">
          <div class="corpus-count total">~185</div>
          <div class="corpus-tier-label">Corpus</div>
          <div class="corpus-tier-desc">Total formula corpus under study. Most are not promoted to locked.</div>
        </div>
      </div>
      <div class="never-claim">
        Discovered values are <strong>MODELED</strong> (a fit to data, never MEASURED). Λ is
        <strong>Conjecture 1</strong> — advisory, capped ≤ 0.99, never a theorem, never 1.0. The Bekenstein
        bound is a PROVEN inequality whose <em>application</em> here is MODELED. Receipts are signed or
        unsigned exactly as the engine returns — never fabricated.
      </div>
    </div>
  </section>

</main>

<footer class="footer">
  a11oy · Governed Inverse-PINN · Doctrine v11 LOCKED · values MODELED · Λ = Conjecture 1 ·
  <a href="/console">Console</a> · <a href="/verify">Verify</a>
</footer>

<script>
"use strict";

const API = "/api/a11oy/v1/pinn/identify";
const VERIFY_BASE = "/api/a11oy/v1/khipu/verify/";

const PRESETS = {
  green: { demo: "duffing" },
  red:   { demo: "duffing", unknowns: ["alpha", "ghost"] }
};

function el(id) { return document.getElementById(id); }
function fmt(x, d = 6) {
  if (x === null || x === undefined) return "null";
  if (typeof x === "string") return x;           // already coerced (e.g. "Infinity")
  if (!isFinite(x)) return String(x);
  const a = Math.abs(x);
  if (a !== 0 && (a < 1e-3 || a >= 1e6)) return x.toExponential(2);
  return Number(x.toFixed(d)).toString();
}
function badgeClass(label) {
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  if (label === "YELLOW") return "amber";
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}

async function runIdentify(kind) {
  const bg = el("btn-green"), br = el("btn-red");
  bg.disabled = true; br.disabled = true;
  el("status").innerHTML = '<span class="spinner"></span>Calling the live governed engine at ' + API + ' …';
  el("results").classList.add("hidden");
  try {
    const res = await fetch(API, {
      method: "POST",
      headers: { "Content-Type": "application/json" },
      body: JSON.stringify(PRESETS[kind])
    });
    const data = await res.json();
    if (!res.ok && !data.convergence) {
      el("status").innerHTML = '<span style="color:var(--red)">Engine returned ' + res.status +
        ' — ' + (data.error || "unexpected") + '</span>';
      return;
    }
    render(data);
    el("status").innerHTML = 'Live response received (HTTP ' + res.status +
      ') · system <code>' + (data.system || "?") + '</code> · honest label MODELED.';
  } catch (e) {
    el("status").innerHTML = '<span style="color:var(--red)">Network error: ' + e + '</span>';
  } finally {
    bg.disabled = false; br.disabled = false;
  }
}

function render(d) {
  el("results").classList.remove("hidden");
  const conv = d.convergence || {};
  const label = conv.label || "—";

  // ---- verdict ----
  const v = el("verdict");
  v.className = "verdict-banner verdict-" + badgeClass(label);
  let head = "Convergence: " + label;
  if (label === "GREEN") head += " — parameter asserted";
  else if (label === "RED") head += " — the engine REFUSES";
  else if (label === "YELLOW") head += " — partial / keep running";
  v.innerHTML = '<span class="chip chip-' + badgeClass(label) + '">' + label + '</span>' +
    '<span>' + head + '</span>' +
    '<span class="vsub">' + (conv.epochs_run != null ? conv.epochs_run + " epochs" : "") + '</span>';

  // ---- convergence metrics ----
  const cm = conv.criteria || {};
  const cmRows = [
    ["min causal weight", cm.min_causal_weight || fmt(conv.min_causal_weight)],
    ["grad norm",         cm.grad_norm || fmt(conv.grad_norm)],
    ["κ(FIM)",            cm.kappa_fim || fmt(conv.kappa_fim)],
    ["min Fisher",        cm.min_fisher || "—"],
    ["residual rms",      fmt(conv.residual_rms)],
    ["data rms",          fmt(conv.data_rms)]
  ];
  el("conv-metrics").innerHTML = cmRows.map(r =>
    '<div class="metric"><div class="metric-k">' + r[0] + '</div><div class="metric-v">' + r[1] + '</div></div>'
  ).join("");

  // ---- discovered params ----
  const params = d.discovered || [];
  el("params").innerHTML = params.map(p => {
    const pl = badgeClass(p.convergence_label);
    if (p.asserted) {
      const ci = p.ci95 ? "95% CI [" + fmt(p.ci95[0]) + ", " + fmt(p.ci95[1]) + "]" : "";
      return '<div class="param-card asserted">' +
        '<div class="param-card-head">' +
          '<span class="param-name">' + p.name + '</span>' +
          '<span class="chip chip-' + pl + '">' + (p.convergence_label || "—") + '</span>' +
          '<span class="chip chip-info">MODELED</span>' +
          '<span class="chip chip-green">IDENTIFIABLE</span>' +
        '</div>' +
        '<div class="param-value">' + fmt(p.value) + '</div>' +
        '<div class="param-ci">' + ci + (p.std != null ? ' · σ ' + fmt(p.std) : '') + '</div>' +
        '</div>';
    }
    // REFUSED — hero honesty moment
    return '<div class="param-card refused">' +
      '<div class="param-card-head">' +
        '<span class="param-name">' + p.name + '</span>' +
        '<span class="chip chip-' + pl + '">' + (p.convergence_label || "RED") + '</span>' +
        '<span class="chip chip-red">REFUSED</span>' +
      '</div>' +
      '<div class="param-value null">value = null</div>' +
      '<div class="refusal-box"><span class="rh">Self-doubt gate · not asserted</span>' +
        (p.refusal || "UNIDENTIFIABLE: the engine refuses to assert this parameter.") + '</div>' +
      '</div>';
  }).join("");

  // ---- FIM / self-doubt ----
  const anyRefused = params.some(p => !p.asserted);
  const fimRows = [
    ["κ(FIM)", cm.kappa_fim || fmt(conv.kappa_fim), badgeClass(label) === "red" ? "red" : "green"],
    ["min Fisher", cm.min_fisher || "—", ""],
    ["gate", anyRefused ? "REFUSED ≥1 parameter" : "all parameters identifiable",
      anyRefused ? "red" : "green"]
  ];
  el("fim-metrics").innerHTML = fimRows.map(r =>
    '<div class="metric"><div class="metric-k">' + r[0] + '</div><div class="metric-v ' + (r[2]||"") + '">' + r[1] + '</div></div>'
  ).join("");

  // ---- lambda ----
  const lam = d.lambda_advisory || {};
  el("lambda-val").textContent = (lam.value != null) ? fmt(lam.value, 4) : "—";
  el("lambda-status").innerHTML = '<span class="conj">' + (lam.status || "ADVISORY") + '</span>';
  el("lambda-basis").textContent = lam.basis || "Λ = Conjecture 1 (advisory, capped ≤ 0.99; NEVER a proof).";
  const lf = lam.factors || {};
  el("lambda-factors").innerHTML = Object.keys(lf).map(k =>
    '<div class="metric"><div class="metric-k">' + k + '</div><div class="metric-v">' + fmt(lf[k], 4) + '</div></div>'
  ).join("");

  // ---- bekenstein (F19) ----
  const asserted = params.find(p => p.asserted && p.bekenstein);
  if (asserted) {
    const b = asserted.bekenstein;
    const ok = b.label === "PHYSICALLY_PLAUSIBLE";
    el("bek").innerHTML =
      '<span class="chip chip-' + (ok ? "green" : "red") + '">' + b.label + '</span>' +
      '<div class="metric-grid" style="margin-top:12px;">' +
        '<div class="metric"><div class="metric-k">info bits</div><div class="metric-v">' + fmt(b.info_bits, 3) + '</div></div>' +
        '<div class="metric"><div class="metric-k">Bekenstein max bits</div><div class="metric-v">' + fmt(b.bekenstein_max_bits) + '</div></div>' +
        '<div class="metric"><div class="metric-k">ratio</div><div class="metric-v teal">' + fmt(b.ratio) + '</div></div>' +
        '<div class="metric"><div class="metric-k">R, E (SAMPLE)</div><div class="metric-v">' + fmt(b.radius_m) + ' m, ' + fmt(b.energy_j) + ' J</div></div>' +
      '</div>' +
      '<div class="small" style="margin-top:10px;">' + (b.basis || "") + '</div>';
  } else {
    el("bek").innerHTML = '<span class="small">No asserted parameter to check — Bekenstein is applied only to an asserted discovery (the engine refused all parameters here).</span>';
  }

  // ---- receipt ----
  const r = d.receipt || {};
  const ledger = d.ledger || {};
  const lres = ledger.result || {};
  const rid = lres.receipt_id || "";
  const signed = (r.signed === true);
  let html =
    '<div class="hash-row"><span class="hash-label">signature</span>' +
      '<span class="chip chip-' + (signed ? "green" : "amber") + '">' + (signed ? "SIGNED" : "UNSIGNED") + '</span>' +
      '<span class="small">' + (signed ? "DSSE envelope present (payloadType " + ((r.dsse||{}).payloadType || "application/vnd.szl.ipinn+json") + ")" : "honest UNSIGNED — no cosign key in this env") + '</span>' +
    '</div>' +
    '<div class="hash-row"><span class="hash-label">ledger</span>' +
      '<span class="chip chip-' + (ledger.recorded ? "green" : "dim") + '">' + (ledger.recorded ? "RECORDED" : "NOT RECORDED") + '</span>' +
      '<span class="small">organ <code>a11oy-pinn</code>' +
        (lres.chain_index != null ? ' · chain index ' + lres.chain_index : '') + '</span>' +
    '</div>';
  if (rid) {
    html += '<div class="hash-row"><span class="hash-label">receipt id</span>' +
      '<span class="hash-val">' + rid + '</span></div>' +
      '<div class="hash-row"><span class="hash-label">verify</span>' +
      '<a class="hash-val" href="' + VERIFY_BASE + rid + '" target="_blank" rel="noopener">' +
      VERIFY_BASE + rid + ' ↗</a></div>' +
      '<div class="small" style="margin-top:6px;">Re-verify independently — the Khipu hash-chain integrity is recomputed server-side and is publicly checkable.</div>';
  }
  if (lres.chain_head) {
    html += '<hr class="divider"><div class="hash-row"><span class="hash-label">chain head</span>' +
      '<span class="hash-val">' + lres.chain_head + '</span></div>';
  }
  el("receipt").innerHTML = html;

  el("results").scrollIntoView({ behavior: "smooth", block: "start" });
}
</script>
</body>
</html>