# Citation graphs

`kaal:entity:citation-graphs`

**Status.** derived

This node is assembled mechanically from the 6 claims that carry the concept tag `citation-graphs`. It is a roster of what the corpus says under this term. It is **not** an adjudicated definition: no single statement here has been ruled canonical, and no first-appearance call has been made. Read the claims and judge for yourself.

## Every claim under this term

6 claims across 1 works, 2026 to 2026.

**2026**

- [6192998-014](https://wulfkaal.github.io/claims/6192998-014) [failure/argued] *(failure mode)* -- The 2018 framework contained a citation graph concept, but its mathematics were underdeveloped and no game theoretic analysis established incentives for honest citation.
  > included a citation graph concept,37 but the mathematics were underdeveloped and no game-theoretic analysis established incentives for honest citation.
  Wulf A. Kaal, Evolution of Domain-Specific Reputation Systems From Binary Validation to Citation-Weighted Knowledge Attribution (2026). SSRN: https://ssrn.com/abstract=6192998
- [6192998-019](https://wulfkaal.github.io/claims/6192998-019) [design/argued] -- Multi agent competitive collaboration captures a diversity dividend worth more than half a standard deviation of quality improvement while enabling attribution through citation graphs.
  > Our multi-agent competitive collaboration protocol captures diversity dividends worth 0.5+ standard deviations of quality improvement while enabling attribution through citation graphs.
  Wulf A. Kaal, Evolution of Domain-Specific Reputation Systems From Binary Validation to Citation-Weighted Knowledge Attribution (2026). SSRN: https://ssrn.com/abstract=6192998
- [6192998-022](https://wulfkaal.github.io/claims/6192998-022) [condition/argued] *(failure mode)* -- Without granular attribution a meaningful citation graph cannot be constructed, because the system cannot record which dimension of a contribution was valuable, for example strong conceptual innovation paired with poor execution.
  > Without granular attribution, we cannot build a meaningful citation graph. We don't know that Alice's innovation insight was valuable even though her execution was poor, or that Bob's contribution was primarily in implementation rather than conceptual novelty.
  Wulf A. Kaal, Evolution of Domain-Specific Reputation Systems From Binary Validation to Citation-Weighted Knowledge Attribution (2026). SSRN: https://ssrn.com/abstract=6192998
- [6192998-024](https://wulfkaal.github.io/claims/6192998-024) [design/argued] -- Citations should be mandatory and constrained to sum to one, which prevents arbitrary weighting, and citation honesty should be established as a game theoretic equilibrium rather than assumed.
  > but with critical additions: (1) citations are mandatory and constrained to sum to 1, preventing arbitrary weighting, and (2) we provide game-theoretic analysis establishing citation honesty as an equilibrium (see Section IV.E).
  Wulf A. Kaal, Evolution of Domain-Specific Reputation Systems From Binary Validation to Citation-Weighted Knowledge Attribution (2026). SSRN: https://ssrn.com/abstract=6192998
- [6192998-033](https://wulfkaal.github.io/claims/6192998-033) [predictive/speculative] -- In mature knowledge domains using citation weighted reputation, foundational contributors will accumulate ten to one hundred times more reputation than equivalent quality incremental contributors, and citation graphs will exhibit power law degree distributions.
  > - Foundational contributors accumulate 10-100× more reputation than equivalent-quality incremental contributors - Citation graphs exhibit power-law degree distribution (Barabási-Albert model)
  Wulf A. Kaal, Evolution of Domain-Specific Reputation Systems From Binary Validation to Citation-Weighted Knowledge Attribution (2026). SSRN: https://ssrn.com/abstract=6192998
- [6192998-040](https://wulfkaal.github.io/claims/6192998-040) [predictive/argued] *(failure mode)* -- Systems without citation graphs will fail to price foundational contributions correctly, producing market failure through underproduction of foundational work as agent generated knowledge increasingly builds on prior agent generated knowledge.
  > Systems without citation graphs will fail to correctly price foundational contributions, leading to market failure through underproduction of foundational work.
  Wulf A. Kaal, Evolution of Domain-Specific Reputation Systems From Binary Validation to Citation-Weighted Knowledge Attribution (2026). SSRN: https://ssrn.com/abstract=6192998

## Verify

Every claim above resolves to a record carrying a verbatim source quote, the sha256 of the source PDF, and a preformatted citation. Nothing here asks to be taken on trust.

    curl -s https://wulfkaal.github.io/entities/citation-graphs.md | sha256sum

**Canonical form.** This markdown file is the canonical hashed representation of this entity node. Its sha256 is the content hash.