{
 "@context": "https://schema.org",
 "@type": "DefinedTerm",
 "@id": "https://wulfkaal.github.io/entities/citation-graphs",
 "identifier": "kaal:entity:citation-graphs",
 "name": "Citation graphs",
 "termCode": "citation-graphs",
 "inDefinedTermSet": {
  "@id": "https://wulfkaal.github.io/entities/index.json"
 },
 "author": {
  "@type": "Person",
  "name": "Wulf A. Kaal",
  "identifier": "https://orcid.org/0000-0003-0757-275X"
 },
 "dateModified": "2026-07-29",
 "canonicalForm": "https://wulfkaal.github.io/entities/citation-graphs.md",
 "sha256": "d462222275be39cc258a4089a3d692945575ca18efbf69bf866f503da228ec3f",
 "additionalProperty": [
  {
   "@type": "PropertyValue",
   "name": "status",
   "value": "derived"
  },
  {
   "@type": "PropertyValue",
   "name": "claim_count",
   "value": 6
  },
  {
   "@type": "PropertyValue",
   "name": "work_count",
   "value": 1
  },
  {
   "@type": "PropertyValue",
   "name": "year_span",
   "value": [
    "2026",
    "2026"
   ]
  },
  {
   "@type": "PropertyValue",
   "name": "non_current_claims",
   "value": 0
  }
 ],
 "subjectOf": [
  {
   "@type": "Claim",
   "@id": "https://wulfkaal.github.io/claims/6192998-014",
   "identifier": "kaal:claim:6192998-014",
   "text": "The 2018 framework contained a citation graph concept, but its mathematics were underdeveloped and no game theoretic analysis established incentives for honest citation.",
   "abstract": "included a citation graph concept,37 but the mathematics were underdeveloped and no game-theoretic analysis established incentives for honest citation.",
   "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",
   "datePublished": "2026",
   "claim_type": "failure",
   "confidence": "argued",
   "is_failure_mode": true,
   "scope_conditions": [],
   "source_pdf_sha256": "b04292561ee041e0c9eaa7eca28a410ed440e76a95743a539361a3f76c97f2b3",
   "status": "current"
  },
  {
   "@type": "Claim",
   "@id": "https://wulfkaal.github.io/claims/6192998-019",
   "identifier": "kaal:claim:6192998-019",
   "text": "Multi agent competitive collaboration captures a diversity dividend worth more than half a standard deviation of quality improvement while enabling attribution through citation graphs.",
   "abstract": "Our multi-agent competitive collaboration protocol captures diversity dividends worth 0.5+ standard deviations of quality improvement while enabling attribution through citation graphs.",
   "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",
   "datePublished": "2026",
   "claim_type": "design",
   "confidence": "argued",
   "is_failure_mode": false,
   "scope_conditions": [
    "quality approximately normally distributed across competing agents",
    "competition size of roughly three to seven agents"
   ],
   "source_pdf_sha256": "b04292561ee041e0c9eaa7eca28a410ed440e76a95743a539361a3f76c97f2b3",
   "status": "current"
  },
  {
   "@type": "Claim",
   "@id": "https://wulfkaal.github.io/claims/6192998-022",
   "identifier": "kaal:claim:6192998-022",
   "text": "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.",
   "abstract": "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.",
   "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",
   "datePublished": "2026",
   "claim_type": "condition",
   "confidence": "argued",
   "is_failure_mode": true,
   "scope_conditions": [
    "validation collapses multidimensional assessment into a single bit"
   ],
   "source_pdf_sha256": "b04292561ee041e0c9eaa7eca28a410ed440e76a95743a539361a3f76c97f2b3",
   "status": "current"
  },
  {
   "@type": "Claim",
   "@id": "https://wulfkaal.github.io/claims/6192998-024",
   "identifier": "kaal:claim:6192998-024",
   "text": "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.",
   "abstract": "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).",
   "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",
   "datePublished": "2026",
   "claim_type": "design",
   "confidence": "argued",
   "is_failure_mode": false,
   "scope_conditions": [],
   "source_pdf_sha256": "b04292561ee041e0c9eaa7eca28a410ed440e76a95743a539361a3f76c97f2b3",
   "status": "current"
  },
  {
   "@type": "Claim",
   "@id": "https://wulfkaal.github.io/claims/6192998-033",
   "identifier": "kaal:claim:6192998-033",
   "text": "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.",
   "abstract": "- Foundational contributors accumulate 10-100× more reputation than equivalent-quality incremental contributors - Citation graphs exhibit power-law degree distribution (Barabási-Albert model)",
   "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",
   "datePublished": "2026",
   "claim_type": "predictive",
   "confidence": "speculative",
   "is_failure_mode": false,
   "scope_conditions": [
    "mature domains in the growth phase before field saturation"
   ],
   "source_pdf_sha256": "b04292561ee041e0c9eaa7eca28a410ed440e76a95743a539361a3f76c97f2b3",
   "status": "current"
  },
  {
   "@type": "Claim",
   "@id": "https://wulfkaal.github.io/claims/6192998-040",
   "identifier": "kaal:claim:6192998-040",
   "text": "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.",
   "abstract": "Systems without citation graphs will fail to correctly price foundational contributions, leading to market failure through underproduction of foundational work.",
   "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",
   "datePublished": "2026",
   "claim_type": "predictive",
   "confidence": "argued",
   "is_failure_mode": true,
   "scope_conditions": [
    "AI agent ecosystems where knowledge production compounds"
   ],
   "source_pdf_sha256": "b04292561ee041e0c9eaa7eca28a410ed440e76a95743a539361a3f76c97f2b3",
   "status": "current"
  }
 ],
 "description": "6 claims in the published works of Wulf A. Kaal carry the concept tag 'citation-graphs'. Derived node: a roster, not an adjudicated definition."
}