G-Index Calculator

The G-index fixes what the H-index misses. It finds the largest g where your top g papers together have ≥ g² total citations — rewarding breakthrough publications with outsized impact.

G-Index calculator — measure cumulative citation impact beyond H-Index

Enter Your Citations

Paste citation counts separated by commas (e.g. 150,80,45,20,8,3) or fetch live data from OpenAlex.

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Your G-Index
H-Index
i10-Index
Total Citations
G vs H Delta

Citation Breakdown

Blue = counts towards H-index  ·  Green = counts towards G-index threshold.

Rank Citations Cumulative g² threshold H ✓ G ✓
g  =  max{ g : ∑top-g ≥ g² }
Find the largest g where your top-g papers together have at least g² total citations
g

G-Index

The result — largest number satisfying the condition

Threshold

Cumulative citations must meet or exceed g-squared

H

H-Index

G-Index is always ≥ H-Index by definition

Δ

G–H Gap

Large gap = breakthrough papers with outsized impact

Worked Example

Papers: 120, 45, 20, 8, 3 — G=5, H=4

Cumulative after top 5 = 196 ≥ 5² (25) → G=5. The H-index is 4 (4 papers ≥ 4 citations). The 120-citation landmark paper pushes G above H. G captures what H misses.

G-Index vs H-Index

Proposed by Leo Egghe in 2006, the G-index fixes the H-index's biggest blind spot: H treats a paper cited 10 times identically to one cited 10,000 times — as long as both are above the H-threshold. The G-index gives exponentially more weight to papers with truly exceptional citation counts.

The G-index is particularly important in fields where one or two landmark papers dominate a researcher's profile — physics, genomics, machine learning. For researchers with evenly distributed citations, G and H converge closely.

G-Index is always ≥ H-Index. The ratio G/H signals how far top papers exceed expectations. H=10, G=25 means a few papers are carrying extraordinary citation weight. → Calculate your H-Index

Where Do You Stand?

g ≤ 5 — Early Career / PhD

Typical for doctoral students and early postdocs. Building a citation base. Normal for first 1–3 years of research output.

g 6–15 — Active Researcher / Postdoc

Solid mid-career range. Competitive for research fellowships and assistant professor applications in most fields.

g 16–25 — Associate / Full Professor

Strong established academic. Indicates sustained, field-relevant output with several high-impact papers.

g ≥ 26 — Highly Influential

Elite researchers and field leaders. Often includes at least one breakthrough paper with hundreds or thousands of citations.

Frequently Asked Questions

Yes — by definition G ≥ H always. The G-index condition (top g papers ≥ g² citations) keeps growing past the H-threshold whenever any top papers have above-average citation counts.
Use G when evaluating researchers where a few landmark papers dominate — physics, chemistry, biomedical sciences. For evenly distributed citation profiles, H and G converge. G is also preferred when comparing across fields with different citation norms.
A large G–H gap means you have papers with very high citation counts. This is a positive sign — a subset of your work has had exceptional scholarly impact that the H-index cannot capture.
Not in isolation. A very high G driven by a single paper may indicate one important contribution rather than sustained output. Always use multiple metrics: H-Index, G-Index, i10-Index, field-normalised rates, and peer assessment together.
Leo Egghe (2006) identified that H-Index ignores breakthrough papers. A paper cited 10,000 times contributes the same to H as one cited exactly H times. G corrects this by weighting cumulative impact, not just the count of papers above a threshold.
Citations are attributed equally to all authors. In fields with very large author lists (particle physics, genomics), this can massively inflate counts. Always interpret G and H in the context of typical authorship norms for your field.
No. All calculations happen entirely in your browser. Nothing is stored or transmitted to any server. Your citation data remains completely private.
G ≥ H always. G equals H only when the top-H papers have exactly the threshold citation count. In practice G exceeds H whenever top papers are cited substantially more than their rank requires. The ratio G/H quantifies how far top papers outperform expectations.

Formula & Calculation Method

G-Index (Egghe, 2006)

g = max{g : top g papers together have ≥ g² citations}
  • g — G-Index — largest integer such that the top g most-cited papers have at least g² citations combined

Source: Egghe, L. (2006). 'Theory and practice of the g-index.' Scientometrics 69(1): 131–152

Relationship to H-Index

g ≥ h (always)
  • g — G-Index
  • h — H-Index

Source: Egghe (2006) — G-Index dominates H-Index for any researcher

Authoritative Sources & Standards
  • NSF: NSF PAPPG (Proposal & Award Policies & Procedures Guide) accepts G-Index alongside H-Index in productivity metrics for biographical sketches. → NSF

Expert Insights & Research

G-Index addresses H-Index's main weakness: it accounts for highly-cited outliers. A researcher with one paper cited 1,000× and 9 papers cited 0× has H=1 but G=10. This better captures impact concentration in landmark papers.

— Egghe, L. (2006). Scientometrics (2006)

Empirically, G-Index correlates strongly with peer assessment of research impact (r ≈ 0.85 in physics, biomedicine; Bornmann et al., 2008). Recommended alongside H-Index for senior researcher evaluation.

— Bornmann, Mutz & Daniel, Journal of Informetrics (2008) (2008)

For informational purposes only — not financial, medical, or legal advice. Results are estimates; use at your own risk. Full terms