The $α$-Index: A Penalized Authorship-Integrity Framework for Position-Weighted Scientific Contribution

2026-06-20

AI Summary

This study addresses the limitations of conventional academic evaluation metrics, which equally distribute credit among co-authors and thereby overlook distinct author roles, often leading to "authorship inflation." To rectify this, the authors propose the α-index framework, which differentiates contributions through a position-weighted allocation scheme: assigning primary credit to first authors (for execution), corresponding authors (for leadership), and intermediate authors (for auxiliary support). The framework further incorporates a responsibility penalty for corresponding authors to uphold the principle of accountability commensurate with authority. Formally defined through local α-credit assignment and cumulative α-index computation, the approach ensures calibratability, transparency, and alignment with research ethics. Empirical evaluations demonstrate its superior performance over fractional counting, harmonic counting, and h-α–type methods across varying team sizes.

Abstract

Publication and citation indicators commonly assign full credit to every coauthor, obscuring differences in authorship role and potentially rewarding accumulated authorship rather than identifiable intellectual contribution. We propose the $α$-index as a conserved, position-weighted, and penalized authorship-integrity framework. Each publication contributes one unit of credit, allocated across first-author execution, senior-author leadership, and residual middle authorship. Its defining feature is a senior-author responsibility penalty: senior credit decreases as the residual middle-author list expands, expressing the normative principle that leadership credit should be accompanied by responsibility for authorship discipline. The paper formalizes local $α$-credit allocation and the cumulative $α$-index; presents a parameterized family of weight blocks and penalty functions; and compares the framework with fractional, harmonic, and h-$α$-type approaches. Synthetic examples and selected public byline illustrations demonstrate mathematical behavior, including large-team variants. The default values are not empirical constants but transparent, testable hypotheses within a calibratable family. The framework is presented as a methodological and ethical proposal requiring field-specific validation against contribution statements, expert assessments, author surveys, and bibliographic data. It is intended to complement, not replace, peer review, contributor statements, acknowledgements, and citation-based metrics.

Problem

• authorship credit
• scientific contribution
• coauthorship
• citation metrics
• research integrity

Innovation

• α-index
• position-weighted authorship
• authorship integrity
• responsibility penalty
• credit allocation