Research · Liju James

Build what can be verified.

QBeacon combines machine-certified mathematics, classical verification research, and blockchain infrastructure already live on Base Mainnet. The work moves from proof to public system.

ORCID 0009-0000-2122-305XBase Mainnet · chain 8453Open research artifacts
★ Featured paper · 27 July 2026

An exact census of prime-detecting MacMahon combinations

An exact-arithmetic classification of prime-vanishing MacMahon combinations in the stated range, together with proofs that extend beyond the search for K ≤ 5.

5 generatorsPrimitive census
No level 6Gap proved directly
Bit-identicalReproducible outputs
★ Featured paper · 22 July 2026

The Mirror: verified structure of the Riemann zeta function

A computational verification collection around the functional equation, zero locations, Chebyshev's bias, and explicit boundaries around what finite computation can establish.

1,000 zerosIndependently checked
30 digitsFunctional checks
RH openClaim boundary
★ Featured paper · 22 July 2026

Extension-rigidity of the known (5,5,42) Ramsey graphs

A machine-certified result showing that none of the 656 known graphs in the catalogue extends to a (5,5,43) graph, backed by redundant solvers and proof checking.

656 graphsAll known cases
2 SAT solversIndependent runs
328 proofsDRAT-certified
Live on Base

From public evidence to contract state

QBeaconOracleCore anchors verified beacon pulses for smart-contract consumption. Current research advances chain-native evidence, immutable request commitments, and efficient verification for VRF and future quantum proof modes.

QBeaconOracleCore0xD8AC8a35C9A53C9078450ff1a2a7209cbd6e34d0
Active research

LWE trapdoors and classical verification

QBeacon is investigating Learning With Errors, trapdoor claw-free functions, transcript design, and how a classical verifier can check evidence from a quantum prover. The work is informed by Dr. Urmila Mahadev's foundational protocol and related quantumness tests.

IBM Marrakesh · CHSH
2.7504

Reported S statistic, with p = 1.42 × 10−46 and 142 bits of entropy under the stated i.i.d. model.

CVQC-labelled archive
2.8914

Reported S statistic, with p = 7.17 × 10−67 and 485 bits under the stated model. The archive explains the claim boundary.

Founder & researcher

Liju James

QBeacon · Jameson Machining Inc.
Building verifiable randomness systems from published evidence to Base Mainnet.