Expertini Research Research
📐 Bibliometric Methodology

Introducing the Expertini Researcher
Impact Score
(ERIS)

A normalised, composite metric for measuring scholarly impact across all disciplines and researcher types

Measuring the impact of a researcher's body of work has long been one of the most contested problems in bibliometrics. Simple counts of publications or citations fail to capture the full picture, while complex composite indices are frequently opaque and difficult to reproduce. ERIS is Expertini's answer: a transparent, formula-driven impact score — normalised to a 0–100 scale — built from three well-established scholarly indicators and designed to apply fairly across academic, student, corporate, and independent researchers in every scientific discipline.

What is the Expertini Researcher Impact Score?

The Expertini Researcher Impact Score (ERIS) is a proprietary composite metric developed by Expertini Research to provide a single, interpretable figure representing a researcher's scholarly impact. It is calculated from three input variables — total publications, total citations, and h-index — each of which captures a distinct dimension of research performance. The three components are independently normalised, weighted according to their bibliometric significance, and summed to produce a final score bounded between 0 and 100.

ERIS is not intended to replace the nuanced professional judgement that governs peer review, promotion, or grant allocation. It is designed instead as a transparent, reproducible, and field-agnostic snapshot of research output — one that allows researchers to contextualise their own productivity, enables fair comparisons across institution types, and signals to collaborators and readers the depth of a researcher's recorded scholarly contribution. ERIS should be read alongside other evidence of a researcher's work — the scope and originality of their publications, the communities they serve, the problems they address — not instead of it.

"No single metric captures the full complexity of research impact. A composite, normalised indicator offers a more balanced and honest measure than any individual count taken in isolation — but a metric is still a simplification, not a verdict."

The ERIS methodology is grounded in decades of bibliometric research. The h-index, introduced by Hirsch in 2005 [1], was among the first widely adopted metrics to combine productivity and citation impact into a single number. Subsequent work by Bornmann and Daniel [2], and later by Costas and Bordons [3], demonstrated that composite metrics consistently outperform single-variable measures when ranking researchers across disciplines. ERIS applies these insights in a maximally transparent way: every component, weighting, and normalisation step is published openly, and the score can be independently reproduced from a researcher's public record.

0–100
ERIS Scale

A single number. A balanced story.

ERIS combines publication productivity, citation influence, and h-index into one normalised score — capped at 100 to prevent any single component from dominating the result and to ensure fair comparison across disciplines, institution types, and career stages.

🪐 Named after the dwarf planet Eris Eris is the most distant known object in our solar system — discovered in 2005, lying far beyond Pluto at the outermost edge of what we then understood about space. Like the planet, Expertini ERIS reaches beyond conventional boundaries: it measures researchers wherever they are, whatever their institution, field, or career stage — including those working at the furthest edges of the academic system, where traditional metrics have never reached.

The Three Components of ERIS

Each component reflects a fundamentally different dimension of scholarly contribution. Together they form a more complete picture than any single metric alone. The choice of exactly three — and no others — reflects a deliberate design principle: additional variables risk introducing discipline-specific bias or data unavailability, while these three are universally recorded, consistently defined, and empirically validated as meaningful proxies for research output.

40% Weight — Up to 40 pts
📄 Publications
Total citable outputs a researcher has produced — papers, theses, reports, preprints. Publications represent sustained engagement with a field and are the primary variable entirely within a researcher's control. The ceiling of 50 reflects the upper threshold of high-volume academic productivity across most disciplines; researchers exceeding it receive the full 40 points.
Normalised against: 50 publications (ceiling)
30% Weight — Up to 30 pts
🔗 Citations
Total times a researcher's work has been cited by others. Citations are the most direct proxy for scholarly influence — explicit acknowledgement by peers that the work contributed meaningfully to their own inquiry. Raw citation counts are field-dependent; ERIS normalises against 1,000, placing all researchers on the same relative scale regardless of their discipline's citation culture.
Normalised against: 1,000 citations (ceiling)
30% Weight — Up to 30 pts
📊 h-Index
The largest h such that h papers each have at least h citations [1]. The h-index simultaneously penalises high volume with low impact and a single highly-cited paper alongside a thin publication record — a robust quality filter neither raw publications nor raw citations alone can provide. Normalised against 50, corresponding to the upper range of h-index values in highly productive mid-to-senior researchers.
Normalised against: h-index of 50 (ceiling)

The weighting scheme — 40% publications, 30% citations, 30% h-index — reflects the relative importance of raw productivity versus demonstrable impact. Publications carry the highest weight because they are the most direct and most controllable measure of output. Citations and h-index share secondary weight because, while they capture impact more directly, they are partly determined by factors external to the researcher: field norms, publication venue, time elapsed, and the volume of active researchers in the area.

The ERIS Formula — Defined

The ERIS formula is fully reproducible from public data. Each component is normalised independently using a clipped ratio against its ceiling, then multiplied by its assigned weight. The three weighted components are summed and bounded at 100. Formally:

# Step 1 — Normalise each component (value never exceeds 1.0) papers_norm = min(papers / 50, 1.0) citations_norm = min(citations / 1000, 1.0) hindex_norm = min(h_index / 50, 1.0) # Step 2 — Apply component weights papers_score = papers_norm × 40 # max 40 pts citations_score = citations_norm × 30 # max 30 pts hindex_score = hindex_norm × 30 # max 30 pts # Step 3 — Sum, cap at 100, round to 2 d.p. ERIS = round( min( papers_score + citations_score + hindex_score , 100 ) , 2 )

This formulation has three important properties. Normalisation ensures no component exceeds its assigned maximum — 200 publications scores the same 40 points as exactly 50, preventing outliers from distorting the result. The ceiling at 100 means ERIS functions like a percentile-anchored scale: it indicates where a researcher stands relative to defined output thresholds, not relative to other platform users. The formula is also continuous and monotone — any genuine improvement in publications, citations, or h-index always produces a proportional improvement in ERIS.

An Illustrative Calculation

Example: A mid-career researcher with 25 papers, 500 citations, h-index 15

Publications component (25 ÷ 50) × 40 = 20.00 pts
Citations component (500 ÷ 1000) × 30 = 15.00 pts
h-index component (15 ÷ 50) × 30 = 9.00 pts
ERIS Score min(20 + 15 + 9, 100) = 44.00

An ERIS of 44.00 reflects moderate productivity and meaningful but not exceptional citation impact — consistent with a researcher who has established a credible body of work but is still some distance from the ceilings the metric is calibrated against. A researcher with 50 papers, 1,000 citations, and an h-index of 50 achieves the maximum ERIS of 100.00.

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Enter your current bibliometric data below. All values are self-reported — see the verification and data policy section for what Expertini does and does not independently confirm.

How ERIS is Designed to Be Bias-Free

Many research evaluation systems encode structural bias: they favour researchers at elite institutions, in high-citation-volume disciplines, with long careers at research-intensive universities. ERIS is explicitly designed to resist these biases. The formula does not know where you work, how old you are, what language you publish in, or which institution granted your degree. It responds only to what you have published and how it has been received — everywhere, not just in venues a particular database happens to index.

🏛️
No Institutional Bias
A researcher at a small regional university and one at MIT are scored by exactly the same formula. There is no affiliation weighting, no journal prestige factor, no country-of-origin adjustment. ERIS does not know where you work and is designed not to care.
🔬
No Discipline Favouritism
Physics, Philosophy, Medicine, and History all face the same formula and the same ceilings. High-citation-volume fields are not rewarded by the raw citation count because citations are normalised — a researcher near the top of their citation range in Pure Mathematics scores as well as one near the top in Molecular Biology.
👤
No Researcher Type Hierarchy
Academic, student, corporate, and independent researchers are scored identically. An independent researcher with a strong publication and citation record will achieve the same ERIS as a tenured professor with equivalent metrics. The formula contains no category field; researcher type does not influence the score.
📅
Career Stage Awareness
By weighting publications most heavily at 40%, ERIS ensures that early-career researchers who are actively publishing are recognised even before their citation counts mature. A doctoral student who has published several papers and begun receiving citations will carry a meaningful ERIS — their trajectory is visible in the score.
🌍
No Language or Geography Penalty
ERIS does not penalise researchers who publish primarily in non-English languages or in regional venues. If a paper is cited, it contributes to the score regardless of the language it was written in or the geographic region the citations originated from.
📋
No Output Type Hierarchy
A preprint, a doctoral thesis, a white paper, and a peer-reviewed article each count as one publication. ERIS does not impose a prestige hierarchy on output types. If the work is cited, the citation component responds — the quality filter is determined by scholarly uptake, not editorially imposed by the platform.
"The problem with most research metrics is not that they measure the wrong things — it is that they embed assumptions about which institutions, languages, and output types are legitimate. ERIS attempts to strip those assumptions out and let the numbers speak without institutional ventriloquism."

What Expertini Verifies — and What It Does Not

Expertini takes the integrity of ERIS seriously and makes a clear, honest distinction between what it can confirm directly and what it accepts in good faith from the researcher. A metric built on unverified self-report is only as trustworthy as the people reporting it. We are transparent about both sides of this line.

✓ What Expertini Confirms
  • Papers published directly on the Expertini Research platform — counted from the system of record, not self-reported
  • ORCID iD format validity (16-digit structure) when linked to a profile
  • Google Scholar URL validity when provided
  • Submission compliance with platform guidelines before publication
  • Profile authenticity signals (confirmed email, account verification status)
· What Expertini Does Not Independently Verify
  • Total publications from external journals, repositories, or conferences
  • Total citation counts — sourced from researcher-provided Google Scholar or equivalent data
  • h-index values — self-reported by the researcher from their database of choice
  • Institutional affiliation or academic title claimed on the profile
  • Whether cited papers are genuinely independent (not self-citations or reciprocal citations)
⚠️ Accuracy is your responsibility

All bibliometric inputs used to calculate ERIS — external publications, citations, and h-index — are self-reported. Expertini takes its best interest to cross-reference profile data against observable signals where possible and may periodically audit suspicious profiles, but it cannot independently verify third-party citation databases in real time. Submitting inflated, fabricated, or misleading metrics violates the Expertini Research Terms of Service and may result in profile suspension or permanent removal. The integrity of ERIS as a platform-wide signal depends entirely on researchers reporting honestly.

ERIS is One Measure Among Many

Expertini does not claim that ERIS is a complete picture of a researcher's value, contribution, or potential. The score is one data point — useful, transparent, and reproducible, but inherently limited. The following variables are all genuinely significant indicators of research impact that ERIS does not and cannot measure:

  • 🔭
    Research originality and novelty. ERIS cannot distinguish between a paper that defined a new field and one that produced an incremental variation on existing work. Both count identically in the publications component. Peer review, editorial commentary, and field recognition are better proxies for originality than any composite score.
  • 🌱
    Societal and policy impact. A researcher whose work directly influenced public health guidelines, environmental regulation, or educational practice may generate societal impact orders of magnitude larger than their citation count reflects. Altmetrics, media coverage, and policy citations capture what ERIS does not.
  • 🤝
    Mentorship and institutional contribution. Researchers who train the next generation of scholars, build community infrastructure, or serve on editorial boards and grant panels contribute enormously to the research ecosystem — none of which appears in ERIS.
  • Time horizon effects. Citations accumulate over years. A paper published six months ago may be seminal in a way that will only become statistically visible in ERIS five years from now. Early-career researchers and those in fast-moving fields are structurally disadvantaged by any citation-based metric evaluated at a single point in time.
  • 🔁
    Self-citation and citation networks. ERIS does not filter self-citations from total citation counts. In fields with small research communities, citation counts may be partially inflated by reciprocal or self-referential citation practices that a raw count cannot distinguish from independent scholarly uptake.
  • 👥
    Coauthorship contribution. A single-authored paper and one with 50 coauthors contribute equally to each author's publications count in ERIS. The formula has no mechanism to weight individual intellectual contribution within collaborative outputs.
"Use ERIS as a starting point — a quick, transparent read of a researcher's bibliometric footprint. Do not use it as an endpoint. Research careers are too complex, too varied, and too important to be reduced to a single number, however carefully constructed."
— Expertini Research, Methodology Notes

Why Publications, Citations, and h-Index?

The selection of indicators involves design trade-offs. Additional variables — journal impact factor, field-normalised citation rate, coauthorship network centrality, altmetric scores — introduce complexity and field-specificity that undermines comparability. ERIS restricts itself to three indicators that are universally available, consistently defined across databases, and validated by decades of bibliometric research [4, 5, 6].

Publications: The Foundation of Productivity

Publication count is the most direct measure of research productivity. A researcher who publishes consistently has demonstrated the capacity to formulate questions, conduct enquiries, and communicate findings at a level sufficient for public dissemination. Critics rightly note [4] that volume alone does not distinguish high-impact from low-impact work — which is precisely why ERIS weights publications at 40% rather than 100%, with the citation and h-index components providing quality modulation.

Citations: The Measure of Influence

When a researcher's work is cited, another scholar has made an explicit judgement that it contributed to their own inquiry. Aggregated citation counts are the most widely accepted proxy for scholarly influence [5]. The Leiden Manifesto [6] recommends that citation indicators be normalised — ERIS implements this by measuring citations as a proportion of the 1,000-citation ceiling, ensuring a researcher in a low-citation-volume discipline is not penalised relative to one in a high-volume field.

The h-Index: The Quality Filter

Hirsch's h-index [1] was proposed specifically to address the weaknesses of both raw publication counts and raw citation totals. A researcher with h-index h has produced at least h papers each cited at least h times — making it robust against a single highly-cited outlier and against high publication count with mostly uncited outputs. In ERIS, the h-index serves as the primary quality control mechanism.

"The h-index combines in a single number the effect of quantity and quality of scientific output. It is more robust to a few lucky hits or to a large number of minor papers than any purely volume-based metric."
— Hirsch, J.E. (2005) [1]

ERIS Across All Scientific Disciplines

ERIS is field-agnostic. Normalisation against fixed ceilings means that a researcher who has reached the top of their field in publications and citations approaches a score of 100 regardless of whether that field is low-citation-volume (Mathematics, Philosophy, History) or high-citation-volume (Medicine, Biology, AI). ERIS applies across all nineteen research categories on the platform:

ERIS and Research Output Types

Publications contributing to ERIS may take any of the fourteen recognised output types on Expertini Research. ERIS does not distinguish between types when counting publications — a preprint, a peer-reviewed article, a doctoral thesis, and a technical report each contribute one unit. The citation component provides the implicit quality filter: outputs that attract citations contribute to all three components, while uncited outputs contribute only to publications. ERIS is applicable across all output types:

References

  • [1]Hirsch, J. E. (2005). An index to quantify an individual's scientific research output. Proceedings of the National Academy of Sciences, 102(46), 16569–16572. https://doi.org/10.1073/pnas.0507655102
  • [2]Bornmann, L., & Daniel, H. D. (2007). What do we know about the h index? Journal of the American Society for Information Science and Technology, 58(9), 1381–1385. https://doi.org/10.1002/asi.20609
  • [3]Costas, R., & Bordons, M. (2007). The h-index: Advantages, limitations and its relation with other bibliometric indicators at the micro level. Journal of Informetrics, 1(3), 193–203. https://doi.org/10.1016/j.joi.2007.02.001
  • [4]Seglen, P. O. (1997). Why the impact factor of journals should not be used for evaluating research. BMJ, 314(7079), 498–502. https://doi.org/10.1136/bmj.314.7079.498
  • [5]Garfield, E. (2006). The history and meaning of the journal impact factor. JAMA, 295(1), 90–93. https://doi.org/10.1001/jama.295.1.90
  • [6]Hicks, D., Wouters, P., Waltman, L., de Rijcke, S., & Rafols, I. (2015). Bibliometrics: The Leiden Manifesto for research metrics. Nature, 520(7548), 429–431. https://doi.org/10.1038/520429a
  • [7]Fraser, N., Momeni, F., Mayr, P., & Peters, I. (2021). The relationship between bioRxiv preprints, citations, and altmetrics. Quantitative Science Studies, 1(2), 618–638. https://doi.org/10.1162/qss_a_00043
  • [8]Egghe, L. (2006). Theory and practise of the g-index. Scientometrics, 69(1), 131–152. https://doi.org/10.1007/s11192-006-0144-7
  • [9]Waltman, L., & van Eck, N. J. (2012). The inconsistency of the h-index. Journal of the American Society for Information Science and Technology, 63(2), 406–415. https://doi.org/10.1002/asi.21678
  • [10]Stephan, P., Veugelers, R., & Wang, J. (2017). Reviewers are blinkered by bibliometrics. Nature, 544(7651), 411–412. https://doi.org/10.1038/544411a

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