v2.1.0 — Math on the Wire

[Holberg7]

OSMP encodes instructions. EML encodes mathematics. Both ship in the same package.

This release adds the EML evaluator — a companion math-on-the-wire layer — across Python, Go, and TypeScript, plus two new MCP tools. Purely additive; no breaking changes.

What's new

EML across three languages (sdk/python/osmp/eml.py, sdk/go/osmp/eml/, sdk/typescript/src/eml.ts)

Based on Odrzywołek (2026, arXiv:2603.21852): a single binary operator eml(x, y) = exp(x) − ln(y), together with the constant 1, generates the standard calculator function basis — exp, ln, sin, cos, sqrt, arithmetic, and more — as compact expression trees. A full sin(x) or sqrt(x) approximation fits in fewer than 100 bytes on the wire.

• Zero runtime dependencies. Uses only standard-library math primitives.
• 16 pre-verified base corpus entries and 4 multi-variable arithmetic compounds (neg, +, ×, linear calibration).
• Compact wire encodings for constrained-channel transmission.

Cross-language byte-exact determinism

All three language implementations produce the identical SHA-256 corpus fingerprint:

e9a4a71383f14624472fe0602ca5e0ff1959e00b09725a62d584e1361f842c1b

Every platform, every runtime, every deployment — identical bits out of the same encoded chain.

Dual-mode precision

• Fast mode (fdlibm-derived, 1-ULP accurate) — included publicly under Apache 2.0. Correct for LoRa / BLE / edge-ML, drone swarm coordination, constrained-channel telemetry, and general scientific computation.
• Precision mode (correctly-rounded, audit-grade) — available under commercial license for regulated-industry applications: medical (IEC 62304), aerospace (DO-178C), nuclear (IEC 61513), audit-grade financial, cryptographic protocol-frame hash inputs, and DoD / defense-aerospace deployments.

Contact ack@octid.io for precision-mode access — see PATENT-NOTICE.md.

Two new MCP tools (total now 19, up from 17)

• osmp_eml_evaluate(chain_name, values) — evaluate a pre-built EML chain at input value(s)
• osmp_eml_corpus_lookup(chain_name) — list or inspect the 20 pre-verified chains

Install

# Python SDK
pip install osmp==2.3.2

# MCP server (wraps the Python SDK, exposes 19 tools)
pip install osmp-mcp==1.1.0

# TypeScript / JavaScript SDK
npm install osmp-protocol@2.3.2

# Go SDK
go get github.com/octid-io/cloudless-sky/sdk/go/osmp/eml

Full changelog: CHANGELOG.md.

Attribution

Built on the universal binary operator eml(x, y) = exp(x) − ln(y) introduced by Andrzej Odrzywołek (Jagiellonian University, arXiv:2603.21852, March 2026). The operator itself is not claimed; the present work covers the transmission, encoding, and apparatus layer distinct from the operator.

Commercial services

Three request-gated services are available under commercial license (see PATENT-NOTICE.md):

• Omega namespace extensions — custom opcode registration for specialized domains
• MDR certification — authoritative namespace mapping for regulated deployments
• UBOT precision mode — correctly-rounded evaluator for audit-grade applications

Contact ack@octid.io.

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This discussion was created from the release v2.1.0 — Math on the Wire.