# kaal:position:2026-07-31-6586

**Affirmed position.** Refinement of estimates of the success probability of a double-spend attack on the Blockchain System, Based on the Independent Players Model presents the following source proposition: Using a transparent and fully distributed peer-to-peer blockchain architecture, applications benefit from a data-only model, in which “transactions” are accepted into the blockchain ledger and, if the system is functioning properly, cannot be modified or deleted. This proposition is pertinent to Kaal's source-bound claim that No single, fixed, entirely algorithmic policing solution can completely prevent independent nodes in a distributed system from gaming block production to advantage some parties over others. Any consensus protocol that relies on a permanently fixed rule set will therefore be gamed as conditions change. The proposed response is an extension: the relationship should remain limited to the retrieved source proposition and the mapped Kaal claim unless fuller source review supports a broader conclusion.

**Status.** affirmed  **Published.** 2026-07-31

**Holds when.**

- The response is limited to the retrieved source proposition and mapped Kaal claim unless fuller source review supports a broader conclusion.
- External evidence level: abstract indexed.
- Mapping review tier: moderate-confidence claim review.
- Primary mapping confidence: 0.3594.
- The source-to-claim mapping remains explicitly ambiguous and is published with that limitation.

**Current debate.** Refinement of estimates of the success probability of a double-spend attack on the Blockchain System, Based on the Independent Players Model: https://doi.org/10.30837/rt.2020.4.203.03

**Extends.** kaal:claim:3125827-001: https://wulfkaal.github.io/claims/3125827-001

**Scholarly basis.** Craig Calcaterra, Wulf A. Kaal, Secure Proof of Stake Protocol (2018). SSRN: https://ssrn.com/abstract=3125827

**Source PDF sha256.** `598d9bd95e4af7a0a35328677c6bfc069f69f2e32c30c720b3a0be98a23a40cb`

**Evidence level.** abstract indexed

**Mapping review tier.** moderate-confidence claim review

**Mapping confidence.** 0.3594  **Mapping ambiguous.** true

**Topics.** consensus-and-security, regulatory-failure, blockchain, governance-design, historical-response, scholarly-literature, openalex

**Provenance.** Affirmed in kaal-review:2026-07-31:streaming-etl-0005 at https://kaal-signal-desk.wulf577462.chatgpt.site/#review.

**Record type.** This is a dated commentary position that extends a scholarly corpus claim. It is not a verbatim claim extracted from the paper.

**Canonical form.** This markdown file is the canonical hashed representation of the position.