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HolonomiX

The working vocabulary. Defined exactly.

CBOM

Cryptography Bill of Materials. A standards-based (CycloneDX) inventory of where cryptography exists across code, libraries, keys, certificates, and dependencies. The migration cannot start until the inventory exists.

Dense representation

The explicit form of data: every value stored, one number in every box. Nothing shared, nothing summarized. Each added dimension multiplies the size.

Evidence bundle

A portable verification package: signed receipts, manifests, verification outputs, public keys, and signature material, packaged for handoff to auditors, counterparties, regulators, or courts. Verifies offline.

Interaction topology

How data, memory, and compute interact in a system: how data is structured, how often it must move, how much must be materialized, and how locally compute can act on it. The cost of a system is determined here.

Lean4

A theorem prover. Used to prove structural invariants where they are provable, producing kernel-checked certificates that travel with results. Formal where it is provable, measured where it is not.

Memory Wall

The point where moving data, not computing on it, limits the system. The industry treats it as a law of nature and builds datacenters around it. HolonomiX treats it as a property of representation.

ML-DSA

The NIST post-quantum digital signature standard (FIPS 204, finalized 2024). The signature scheme behind HolonomiX evidence: receipts and attestations that remain valid through the mandated cryptographic transition.

Offline verification

Verification that works without trusting HolonomiX, without calling back to a server, and without depending on any specific cloud provider. A receipt holder can verify evidence from the file alone.

PQC

Post Quantum Cryptography: cryptographic standards designed to remain secure against quantum attack. NIST finalized the first three standards in 2024: FIPS 203 (ML-KEM), FIPS 204 (ML-DSA), FIPS 205 (SLH-DSA).

QTT

Quantized Tensor Train. A tensor train whose big axes are folded by zoom level into many small ones, so each piece captures the whole field at one scale. Where structure is real, a billion-value field folds to thousands of pieces.

Signed receipt

Artifact-level proof: a post-quantum signed record binding an artifact’s identity, hash commitments, signer metadata, verification policy, and timestamp. Designed to survive outside the original runtime.

SDVOSB

Service-Disabled Veteran-Owned Small Business. A federal certification issued by the SBA. Tigantic Holdings, LLC is VOSB + SDVOSB SBA-Certified.

Tensor Train

A representation that breaks one giant block of data into a chain of small, linked pieces. Each piece keeps only the patterns that carry the data; the links hold just enough to rejoin them.

V&V

Verification & Validation. Verification: does it match the data. Validation: does the answer hold up, on unseen cases, with mass and energy balanced. Run as release gates, not written up afterward.

Validity domain

The region in which a computed result is backed by validation anchors. Results are stamped in or out of the validated domain, and the stamp is signed into the attestation so it cannot be stripped without breaking the signature.