About Lemma

The verification layer for AI in regulated industries

Lemma is verified knowledge infrastructure for AI applications in healthcare, legal, and regulated industries. We turn “the AI said so” into court-admissible proof.

AI apps built on Lemma deliver cryptographically verified answers that are deterministic, 100% traceable, and produce zero false positives. Every response includes complete source provenance - document name, identifiers, publisher, section, timestamp with mathematical proof of origin. Complete audit trail from query to source.

The Problem

Current AI systems operate on probability. When a medical AI answers a question about drug interactions, it returns:

  • Cosine similarity: 0.87
  • Chunk labeled: “probably relevant”
  • Citation URL (with no proof the text actually exists on that page)

Search APIs provide a citation link with a similarity score but no verification. The page could have changed. The chunk could be misattributed. A reference is not proof.

A doctor cannot defend a prescription based on 87% similarity. A lawyer cannot cite “probably relevant” in court. Compliance teams cannot audit probabilistic matches.

Regulated industries require mathematical certainty. Current AI provides statistical likelihood.

This isn't a problem that can be solved by making probabilistic systems more accurate. It requires fundamentally different infrastructure.

The Solution

Lemma delivers deterministic retrieval with 100% traceability and zero false positives.

AI applications built on Lemma provide answers with cryptographic proof of origin. Lemma uses distance-based verification, not probabilistic similarity. Results are mathematically verified, not “87% similar.” Every response includes the exact source with timestamp and cryptographic fingerprint, not “probably from this URL.”

The Architecture:

Lemma combines two modes of intelligence with one verification layer:

Mode 1: Semantic Discovery

Phase-based semantic understanding discovers concepts across documents. Handles synonyms. Explores relationships.

Example: “Tell me about cardiovascular risks”

Mode 2: Graph Reasoning

Structured queries. Multi-hop relationships. Medical ontology-based reasoning.

Example: “Which drugs interact with warfarin?”

Universal Verification

Both modes pass through cryptographic 128-bit binary fingerprint verification, traceable to exact source. Not probabilistic similarity. Mathematically identical matches.

How It Works

Query
Dual-Mode Search
Fingerprint Verification
✓ Verified Source

The Flow:

  1. Query processing extracts medical concepts and relationships
  2. Dual-mode search finds relevant segments via phase-based semantics OR graph reasoning
  3. Fingerprint verification validates results with cryptographic 128-bit binary fingerprints
  4. Source retrieval returns exact original text with complete provenance

Our Proprietary Phase-Collapse Fingerprints

Unlike traditional hashing that forces thresholds, our fingerprints emerge naturally from semantic phase dynamics like quantum wave functions collapsing upon measurement. This preserves semantic structure while enabling cryptographic verification.

The Result:

  • Exact source text (unmodified, byte-perfect)
  • Complete metadata (document, identifiers, publisher, section, timestamp)
  • Cryptographic 128-bit fingerprint proof
  • Full audit trail (query → source)

This is deterministic retrieval with cryptographic verification fundamentally different from probabilistic AI systems.

For Everyone

Lemma is verified knowledge infrastructure for regulated industries.

For AI Application Builders

  • API Integration

    RESTful API for semantic search + graph queries + verification

  • MCP Server

    Model Context Protocol integration for AI agents

  • Verification Layer

    Add deterministic provenance to existing AI stack

For Individual Users

  • Web Interface

    Free UI for exploring medical information with complete source verification

How Lemma Differs

ApproachWhat It Gives YouWhat It Lacks
Traditional RAGSimilarity scores, chunksNo source verification
No proof text exists
No audit trail
Vector DatabasesFast semantic searchProbabilistic matches
No provenance
No cryptographic proof
LLMsNatural language answersHallucinations
No source traceability
Black box reasoning
Traditional DatabasesExact keyword matchesNo semantic understanding
Rigid queries
No concept discovery
LemmaPhase-based semantics + Graph reasoning + Verification✓ Exact source text
✓ Mathematical proof
✓ Complete provenance
✓ Court-admissible

Lemma combines the exploratory power of phase-based semantic understanding with the verification rigor of cryptography.

Use Cases

• Clinical decision support systems
• Legal research platforms
• Drug safety monitoring tools
• Pharmacovigilance applications
• Medical documentation systems
• Regulatory compliance software

What You Get

Instead of:

{
  "answer": "Warfarin interacts with aspirin",
  "confidence": 0.87,
  "source": "https://example.com/page-that-might-have-changed"
}

You get:

{
  "answer": "Warfarin interacts with aspirin",
  "source": {
    "document": "warfarin sodium",
    "identifiers": ["0093-1712"],
    "publisher": "Teva Pharmaceuticals",
    "section": "drug_interactions",
    "segment": 11,
    "timestamp": "2025-10-15T08:41:25Z",
    "source_url": "https://dailymed.nlm.nih.gov/...",
    "fingerprint": "10101110011110111100010101111101...",
    "verified": true
  },
  "evidence": [{
    "text": "Coadministration of enoxaparin, warfarin...",
    "fingerprint": "10101110011110111100010101111101..."
  }]
}

That's the difference between “AI said so” and “Here's the source, here's the cryptographic proof.”

Why Lemma

In mathematics, a lemma is a proven statement that enables larger theorems. Without lemmas, you cannot prove anything significant. You build from proven foundations.

Lemma is the proven foundation for trustworthy AI.

We are not another AI company improving models or fine-tuning algorithms. We are verified knowledge infrastructure that makes AI defensible in regulated industries.

Contact Us

Have questions or want to learn more? contact@lemma.la