Why combine ORAM and FHE?

• Oblivious RAM (ORAM) hides the access pattern of memory reads/writes, preventing leakage from which data is accessed.
• Fully Homomorphic Encryption (FHE) lets a server compute on encrypted data without ever seeing the plaintext.

When both are used, an adversary learns nothing about the data values or the sequence of operations—crucial for secure cloud computation on sensitive workloads.

Core construction

Achieving constant‑time behavior

1. Fixed‑size buckets – Each ORAM node stores a constant number Z of ciphertexts (e.g., Z = 4).
2. Uniform access pattern – Every logical operation triggers the same number of homomorphic evaluations (e.g., always traverse a full path of height log₂ N).
3. Parallel homomorphic evaluation – Modern FHE schemes (CKKS, BFV) support SIMD packing; the server can process all buckets of a level in a single homomorphic batch, keeping latency independent of the accessed block.

Thus the total runtime per logical access is O(log N) in the number of homomorphic batches, but each batch has a constant size, yielding a practically constant‑time routine from the client’s perspective.

Example parameter set

• Data size: N = 2¹⁶ blocks.
• ORAM bucket size: Z = 4.
• FHE scheme: BFV with 128‑bit security, ciphertext modulus q ≈ 2⁶⁴.
• Batch size: Z·log₂ N = 4·16 = 64 ciphertext slots per homomorphic evaluation.

With these settings, a single logical read/write requires:

1. One homomorphic evaluation of the routing function per tree level (16 levels).
2. One homomorphic eviction pass (also 16 levels).

Both steps are executed in parallel across the 64 slots, giving a predictable wall‑clock time (e.g., ~200 ms on a modern GPU‑accelerated FHE server).

Security notes

• Access‑pattern leakage is eliminated by ORAM’s obliviousness.
• Data‑value leakage is prevented by the semantic security of the FHE scheme.
• The combined construction remains secure under the standard IND‑CPA assumption for FHE and the ORAM security definition (indistinguishability of access sequences).

In summary, a constant‑time routine can be built by storing FHE‑encrypted blocks in a fixed‑bucket ORAM tree, using homomorphic tokens to traverse the tree uniformly, and performing parallel homomorphic evaluations for routing and eviction. This yields predictable latency while protecting both data values and access patterns.

# ERP with Google Workspace and Google Appscripts with code samples.

Overview

An ERP (Enterprise Resource Planning) system built on Google Workspace can leverage the suite’s core apps—Sheets, Docs, Drive, Gmail, Calendar—and automate workflows with Google Apps Script. Below are common ERP modules and sample Apps Script snippets that illustrate how to connect them.

1. Inventory Management (Sheets + Drive)

Key idea: Store inventory data in a Google Sheet; use Apps Script to update stock levels when a purchase order is approved.

/**
 * Decrease inventory when a PO is approved.
 * Triggered from a Google Form submission or a custom menu.
 */
function processPurchaseOrder(e) {
  const poSheet = SpreadsheetApp.getActiveSpreadsheet().getSheetByName('PurchaseOrders');
  const invSheet = SpreadsheetApp.getActiveSpreadsheet().getSheetByName('Inventory');

  // Assume the form sends: PO_ID, ITEM_ID, QUANTITY
  const poId = e.values[0];
  const itemId = e.values[1];
  const qty = Number(e.values[2]);

  // Find the inventory row for the item
  const invData = invSheet.getDataRange().getValues();
  for (let i = 1; i < invData.length; i++) {
    if (invData[i][0] === itemId) {               // Column A = Item ID
      const currentStock = Number(invData[i][2]); // Column C = Stock Qty
      invSheet.getRange(i + 1, 3).setValue(currentStock - qty);
      break;
    }
  }

  // Mark PO as processed
  const poRow = e.range.getRow();
  poSheet.getRange(poRow, 5).setValue('Processed'); // Column E = Status
}

Deploy: Attach processPurchaseOrder to a Form submit trigger or a custom menu item in the PO sheet.

2. Sales Order Entry (Forms + Sheets + Gmail)

Key idea: Capture sales orders via Google Form, store them in a Sheet, and automatically email an order confirmation.

function onSalesFormSubmit(e) {
  const ss = SpreadsheetApp.getActiveSpreadsheet();
  const orders = ss.getSheetByName('SalesOrders');
  const row = e.range.getRow();

  // Pull data from the form submission
  const [orderId, clientEmail, product, qty] = e.values;

  // Add a timestamp and status
  orders.getRange(row, 6).setValue(new Date());      // Column F = Received
  orders.getRange(row, 7).setValue('Pending');      // Column G = Status

  // Build email body
  const body = `
    Hi,

    Thank you for your order #${orderId}. Here are the details:

    • Product: ${product}
    • Quantity: ${qty}

    We will notify you once the order is processed.

    Best,
    Sales Team
  `;

  // Send confirmation
  GmailApp.sendEmail(clientEmail, `Order Confirmation #${orderId}`, body);
}

Deploy: Set a Form submit trigger for onSalesFormSubmit.

3. Expense Reporting (Docs + Sheets + Drive)

Key idea: Employees fill a Google Form; a script generates a formatted expense report in Docs and saves it to a shared Drive folder.

function generateExpenseReport(e) {
  const templateId = '1A2bC3dEfGhIjKlMnOpQrStUvWxYz'; // Docs template file ID
  const folderId   = '0B1cD2eF3gHiJkLmNoPqRsTuVwXyZ'; // Shared Drive folder

  const [empName, date, category, amount, description] = e.values;

  // Make a copy of the template
  const copy = DriveApp.getFileById(templateId).makeCopy(`${empName} – Expense ${date}`);
  const doc  = DocumentApp.openById(copy.getId());

  // Replace placeholders in the template
  const body = doc.getBody();
  body.replaceText('{{EMPLOYEE}}', empName);
  body.replaceText('{{DATE}}', date);
  body.replaceText('{{CATEGORY}}', category);
  body.replaceText('{{AMOUNT}}', `$${Number(amount).toFixed(2)}`);
  body.replaceText('{{DESCRIPTION}}', description);
  doc.saveAndClose();

  // Move to the shared folder
  DriveApp.getFolderById(folderId).addFile(copy);
  DriveApp.getRootFolder().removeFile(copy);
}

Deploy: Attach to the Form submit trigger of the expense form.

4. Project Management Dashboard (Sheets + Calendar)

Key idea: Sync project milestones from a Sheet to Google Calendar events.

function syncMilestonesToCalendar() {
  const ss = SpreadsheetApp.getActiveSpreadsheet();
  const projSheet = ss.getSheetByName('Projects');
  const cal = CalendarApp.getCalendarById('your-team@yourdomain.com');

  const data = projSheet.getDataRange().getValues();
  for (let i = 1; i < data.length; i++) {
    const [projId, milestone, dueDate, status] = data[i];
    if (status !== 'Scheduled') continue; // Only schedule once

    // Create calendar event
    cal.createAllDayEvent(`${projId} – ${milestone}`, new Date(dueDate));

    // Mark as scheduled
    projSheet.getRange(i + 1, 4).setValue('Scheduled');
  }
}

Deploy: Run manually or set a time‑driven trigger (e.g., daily).

5. Approval Workflow (Gmail + Sheets + Apps Script)

Key idea: Send an approval request email with “Approve” / “Reject” links that update a Sheet when clicked.

function sendApprovalRequest(row) {
  const ss = SpreadsheetApp.getActiveSpreadsheet();
  const sheet = ss.getSheetByName('Approvals');
  const [reqId, requester, amount, status] = sheet.getRange(row, 1, 1, 4).getValues()[0];

  const approveUrl = ScriptApp.getService().getUrl() + `?action=approve&id=${reqId}`;
  const rejectUrl  = ScriptApp.getService().getUrl() + `?action=reject&id=${reqId}`;

  const html = `
    <p>Approval needed for request #${reqId}:</p>
    <ul>
      <li>Requester: ${requester}</li>
      <li>Amount: $${amount}</li>
    </ul>
    <p>
      <a href="${approveUrl}">Approve</a> |
      <a href="${rejectUrl}">Reject</a>
    </p>
  `;

  GmailApp.sendEmail('manager@yourdomain.com',
                     `Approval Request #${reqId}`,
                     '',
                     {htmlBody: html});
}

/**
 * Web app entry point for approval links.
 */
function doGet(e) {
  const id = e.parameter.id;
  const action = e.parameter.action;
  const ss = SpreadsheetApp.getActiveSpreadsheet();
  const sheet = ss.getSheetByName('Approvals');
  const rows = sheet.getDataRange().getValues();

  for (let i = 1; i < rows.length; i++) {
    if (rows[i][0] == id) {
      sheet.getRange(i + 1, 4).setValue(action === 'approve' ? 'Approved' : 'Rejected');
      break;
    }
  }
  return HtmlService.createHtmlOutput('Your response has been recorded.');
}

Deploy: Publish the script as a Web app (execute as “Me”, accessible to “Anyone”). Call sendApprovalRequest from a button or trigger.

6. Consolidated Reporting (Data Studio / Looker Studio)

While Apps Script handles data capture, you can connect the Sheets directly to Looker Studio for visual dashboards. No code is required beyond sharing the Sheet with the reporting service.

Quick-start checklist

These snippets give a functional skeleton; you can extend them with validation, error handling, and role‑based access as needed for a production‑grade ERP built entirely on Google Workspace.

# Write a framework for SER (Sovernty Ephemerality Reproducibility)

SER Framework Overview

The Sovereignty Ephemerality Reproducibility (SER) framework provides a structured approach for building systems that:

1. Sovereignty – give data owners full control over access, usage, and lifecycle.
2. Ephemerality – ensure data and computation artifacts are automatically retired after a defined lifespan.
3. Reproducibility – allow deterministic recreation of results from immutable provenance records, even after the original data has been purged.

1. Core Principles

2. Architectural Components

1. Policy Engine – validates access requests against owner‑signed policies.
2. Lease Manager – tracks TTLs, triggers automatic deletion, and notifies dependent services.
3. Provenance Store – immutable log of data lineage, transformation steps, and environment hashes.
4. Reproducible Executor – runs deterministic workloads inside sealed containers; records execution hash.
5. Revocation Service – processes owner‑initiated revocations, updates the provenance store, and propagates deletions.

3. Data Flow

flowchart TD
    A[Data Ingestion] --> B[Policy Engine]
    B --> C[Lease Manager]
    C --> D[Provenance Store]
    D --> E[Reproducible Executor]
    E --> F[Result Artifact]
    F --> G[Lease Manager (TTL)]
    subgraph Revocation
        H[Owner Revocation] --> B
    end

4. Sample Implementation (Python + Docker)

# ser_framework.py
import json, hashlib, time
from datetime import datetime, timedelta
from cryptography.hazmat.primitives import serialization, hashes
from cryptography.hazmat.primitives.asymmetric import padding

# 1. Owner‑signed policy
def sign_policy(policy: dict, private_key_pem: bytes) -> dict:
    priv_key = serialization.load_pem_private_key(private_key_pem, password=None)
    policy_bytes = json.dumps(policy, sort_keys=True).encode()
    signature = priv_key.sign(
        policy_bytes,
        padding.PSS(mgf=padding.MGF1(hashes.SHA256()), salt_length=padding.PSS.MAX_LENGTH),
        hashes.SHA256(),
    )
    policy["signature"] = signature.hex()
    return policy

# 2. Verify policy
def verify_policy(policy: dict, public_key_pem: bytes) -> bool:
    sig = bytes.fromhex(policy.pop("signature"))
    pub_key = serialization.load_pem_public_key(public_key_pem)
    policy_bytes = json.dumps(policy, sort_keys=True).encode()
    try:
        pub_key.verify(
            sig,
            policy_bytes,
            padding.PSS(mgf=padding.MGF1(hashes.SHA256()), salt_length=padding.PSS.MAX_LENGTH),
            hashes.SHA256(),
        )
        return True
    except Exception:
        return False

# 3. Create lease record
def create_lease(ttl_seconds: int) -> dict:
    expiry = datetime.utcnow() + timedelta(seconds=ttl_seconds)
    return {"expiry": expiry.isoformat() + "Z", "created": datetime.utcnow().isoformat() + "Z"}

# 4. Record provenance entry
def provenance_entry(data_hash: str, exec_hash: str, env_hash: str) -> dict:
    entry = {
        "data_hash": data_hash,
        "exec_hash": exec_hash,
        "env_hash": env_hash,
        "timestamp": datetime.utcnow().isoformat() + "Z",
    }
    entry["entry_hash"] = hashlib.sha256(json.dumps(entry, sort_keys=True).encode()).hexdigest()
    return entry

Dockerfile (deterministic build)

# Dockerfile.deterministic
FROM python:3.12-slim@sha256:3b2e5c9f8a1d4e6b9c7f2a1d5e8b9c0d1e2f3a4b5c6d7e8f9a0b1c2d3e4f5a6b
WORKDIR /app
COPY requirements.txt .
RUN pip install --no-cache-dir -r requirements.txt && \
    python - <<'PY'
import hashlib, sys, subprocess, json, os
# Pin all installed wheels to their hashes
for line in open('requirements.txt'):
    pkg = line.strip()
    subprocess.check_call([sys.executable, '-m', 'pip', 'download', '--no-deps', '--dest', '/tmp', pkg])
PY
COPY ser_framework.py .
CMD ["python", "-m", "ser_framework"]

Key points: the base image is referenced by its SHA‑256 digest, and the build script pins every wheel to its hash, guaranteeing reproducibility across builds.

5. Operational Guidelines

• Policy Rotation – rotate owner keys periodically; keep a revocation list in the provenance ledger.
• TTL Granularity – choose TTLs that balance privacy (shorter) with reproducibility (longer); store the TTL in the lease record.
• Audit Trails – expose a read‑only API that returns the Merkle proof for any provenance entry.
• Testing – run deterministic test suites that compare execution hashes against stored provenance to detect drift.

6. Example Use‑Case

A research consortium collects genomic samples. Each sample owner signs a policy allowing analysis for 30 days. The data is ingested, a lease of 30 days is created, and the analysis runs inside a reproducible Docker container. After 30 days, the lease manager automatically deletes the raw data, but the provenance store retains the hash of the input, the container image hash, and the execution hash. A future auditor can verify that the published results match the recorded provenance without ever accessing the original samples.

This framework equips you with the architectural blueprint, core code primitives, and best‑practice guidelines to implement SER in any data‑sensitive environment.