{
  "schemaVersion": 1,
  "lessonId": "tpu-04",
  "contentHash": "fbf7f69ea6d4eb812a7d2bfd81046c806a9092bca95d7ae4737ed297ced95f15",
  "executedAt": "2026-10-20T10:52:23.450063+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "Runtime receipt: {\"backend\": \"cpu\", \"expected_total\": 140.0, \"jax\": \"0.9.2\", \"local_device_count\": 1, \"observed_total\": 140.0, \"per_device_sums\": [140.0], \"python\": \"3.14.3\", \"receipt_sha256\": \"8c6bd0cbe29edc78\", \"verified\": true}\nExpected pmap sums by slice: {'1-device (CPU / v5e-1)': 140.0, '4-device (v5litepod-4 / v6e-4)': 10416.0, '8-device (v5litepod-8 / v6e-8)': 85344.0}\nRuntime receipt: {\"backend\": \"cpu\", \"expected_total\": 140.0, \"jax\": \"0.9.2\", \"local_device_count\": 1, \"observed_total\": 140.0, \"per_device_sums\": [140.0], \"python\": \"3.14.3\", \"receipt_sha256\": \"8c6bd0cbe29edc78\", \"verified\": true}\nExpected pmap sums by slice: {'1-device (CPU / v5e-1)': 140.0, '4-device (v5litepod-4 / v6e-4)': 10416.0, '8-device (v5litepod-8 / v6e-8)': 85344.0}\nPer-chip sums on a 4-chip slice: [140.0, 1100.0, 3084.0, 6092.0] Total: 10416.0\nTeardown verifier passed for empty and non-empty gcloud list outputs.\n4-chip expected sum: 10416.0 8-chip expected sum: 85344.0 receipt hash: 8c6bd0cbe29edc78\nSimulated 4-chip TPU check: True Local CPU check: False\nOvernight idle cost avoided (USD): 74.4\nPASS: tpu-04\n",
  "notebookCells": [
    {
      "sourceHash": "2d472d8c255e8c6d949fd8c0c497d2ef7c543fd3663b9fa40e42b35c8d6031a8",
      "outputs": []
    },
    {
      "sourceHash": "8b0a4c68d22a637f91b4914bf1d86f088d52d22f1f7b0c11b4458072cee5a9d0",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Runtime receipt: {\"backend\": \"cpu\", \"expected_total\": 140.0, \"jax\": \"0.9.2\", \"local_device_count\": 1, \"observed_total\": 140.0, \"per_device_sums\": [140.0], \"python\": \"3.14.3\", \"receipt_sha256\": \"8c6bd0cbe29edc78\", \"verified\": true}\n",
            "Expected pmap sums by slice: {'1-device (CPU / v5e-1)': 140.0, '4-device (v5litepod-4 / v6e-4)': 10416.0, '8-device (v5litepod-8 / v6e-8)': 85344.0}\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "e39fea213cc9360fde902be2ad59a5e36980dad93ac38516e5fa9c13b3213eda",
      "outputs": []
    },
    {
      "sourceHash": "9c118770280acaf6ff75fa1a71cf7df571db677029f03452c80afb19a18e9dcb",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Runtime receipt: {\"backend\": \"cpu\", \"expected_total\": 140.0, \"jax\": \"0.9.2\", \"local_device_count\": 1, \"observed_total\": 140.0, \"per_device_sums\": [140.0], \"python\": \"3.14.3\", \"receipt_sha256\": \"8c6bd0cbe29edc78\", \"verified\": true}\n",
            "Expected pmap sums by slice: {'1-device (CPU / v5e-1)': 140.0, '4-device (v5litepod-4 / v6e-4)': 10416.0, '8-device (v5litepod-8 / v6e-8)': 85344.0}\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "0ba592293ff3f78a897c1efdb327fa8bb2db1cd03950f6813f0e90470f523427",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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",
            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "2e7bb477d13f3e0846e26a934fc98f825cf88a49c5178ddbd4baca6f11520b8a",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Per-chip sums on a 4-chip slice: [140.0, 1100.0, 3084.0, 6092.0] Total: 10416.0\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "bded2e88ded5ef60b5518e34d5885fee7938173a3d8e5cb9b87bf820889ad6cb",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Teardown verifier passed for empty and non-empty gcloud list outputs.\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "6b95ef374e7931305bc1feddf8ca17cd18748fd4326483d73d58a55e02d6e772",
      "outputs": []
    },
    {
      "sourceHash": "ab84667fa56eaa6d036fa1ae7c90a35f31e3288ed31c98b341ea359fcac5266e",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "4-chip expected sum: 10416.0 8-chip expected sum: 85344.0 receipt hash: 8c6bd0cbe29edc78\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "1761f5a62420577e1363ba8093ff6d48509d1470b2adbae26135423a5e55d58f",
      "outputs": []
    },
    {
      "sourceHash": "256e1dc51fed7be1e95762729abdc7916819dd6ef144789843418301d04ba0db",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Simulated 4-chip TPU check: True Local CPU check: False\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "99e3b41d852db0775a79b6cfddc0c40531aee26946795176380dc2c36d923209",
      "outputs": []
    },
    {
      "sourceHash": "b01e9298ce969d33ab953eaaf790a6c2adb17ea93b322fad6b644ea4aeb3a84f",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Overnight idle cost avoided (USD): 74.4\n"
          ]
        }
      ]
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
