Nothing-up-my-sleeve number¶
A cryptographic constant selected by a simple publicly verifiable procedure with little discretionary freedom, reducing suspicion that hidden properties or a backdoor were chosen deliberately.
Core Idea¶
Common sources include specified digits of mathematical constants or fixed encodings, but credibility depends on committing to the source, start, extraction, rounding and search process before results are known and still requires public cryptanalysis. A transparent seed source and deterministic derivation map generate the constants; independent parties reproduce them and audit how much choice the designer retained, narrowing the space for malicious parameter selection. The abstraction is therefore identified by a declared carrier, a transformation or constraint over that carrier, and an invariant that tells an analyst whether the named structure is genuinely present.
Scope of Application¶
Nothing-up-my-sleeve number belongs to cryptographic design and transparency and is useful where the analyst can specify the typed cryptographic design and transparency carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets, then evaluate the algorithm and role of the constants, public source, source version or encoding, starting position, extraction and endianness, transformation and rejection rules, number of constants, precommitment evidence, remaining degrees of freedom, reproducibility, security rationale and independent analysis are explicit.
Clarity¶
The abstraction clarifies a crowded vocabulary by making the algorithm and role of the constants, public source, source version or encoding, starting position, extraction and endianness, transformation and rejection rules, number of constants, precommitment evidence, remaining degrees of freedom, reproducibility, security rationale and independent analysis are explicit the center of the account. A claim should name the carrier, the governing operation or relation, the applicable assumptions, and the recognition test.
Manages Complexity¶
Without the abstraction, an analyst must reason directly over many local details: the carrier roles, admissibility assumptions, competing conventions, derived invariants, boundary cases, and proof or validation obligations specific to Nothing-up-my-sleeve number. Nothing-up-my-sleeve number compresses them into the roles in the structural signature. That compression permits comparison across instances without erasing the variables that determine validity. It also exposes which details may be varied safely and which are constitutive.
Abstract Reasoning¶
- Identify the carrier. State what the elements, states, objects, or observations are: the typed cryptographic design and transparency carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets. Reject examples whose alleged carrier belongs to a different problem. 2.
Knowledge Transfer¶
Knowledge transfers strongly among subfields of cryptographic design and transparency because they reuse the typed cryptographic design and transparency carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets, A transparent seed source and deterministic derivation map generate the constants; independent parties reproduce them and audit how much choice the designer retained, narrowing the space for malicious parameter selection., and type the carrier, state every parameter and convention in the definition, test that the algorithm and role of the constants, public source, source version or encoding, starting position, extraction and endianness, transformation and rejection rules, number of constants, precommitment evidence, remaining degrees of freedom, reproducibility, security rationale and independent analysis are explicit, compare the nearest accepted identity, and report counterexamples, uncertainty, and limiting cases.
Relationships to Other Abstractions¶
Current abstraction Nothing-up-my-sleeve number Domain-specific
Parents (1) — more general patterns this builds on
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Nothing-up-my-sleeve number is a kind of Transparency Prime
The proposed strict upward parent is
prime:transparency.
Hierarchy path (1) — routes to 1 parentless root
- Nothing-up-my-sleeve number → Transparency → Observability
Neighborhood in Abstraction Space¶
Nothing-up-my-sleeve number sits in a moderately populated region (57th percentile for distinctiveness): it has near-neighbors but no dense thicket of look-alikes.
Family — Classical Ciphers & Numeric Encoding (6 abstractions)
Nearest neighbors
- Frequency analysis — 0.88
- Non-logical symbol — 0.87
- Decisional Diffie–Hellman assumption — 0.87
- Caesar cipher — 0.87
- Quantum key distribution — 0.87
Computed from structural-signature embeddings · 2026-09-08