H-index¶
A bibliometric index equal to the largest integer h for which an author or other publication set has at least h works cited at least h times each.
Core Idea¶
The h-index combines output and citation depth in one threshold statistic but varies with field, career length, database, authorship practice, document type, and citation culture and discards information beyond the threshold. Citation counts are collected for a declared work set and source, sorted descending, and compared with their ranks; the greatest rank not exceeding its citation count is reported. The abstraction is therefore identified by a declared carrier, a transformation or constraint over that carrier, and an invariant that tells an analyst whether the named structure is genuinely present.
Scope of Application¶
H-index belongs to bibliometrics and research evaluation and is useful where the analyst can specify the typed bibliometrics and research evaluation carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets, then evaluate the evaluated entity, publication set, citation database and date, document and authorship rules, sorted counts, threshold calculation, and field and career context are explicit. The scope is broad within that domain but bounded by the need for the evaluated entity, publication set, citation database and date, document and authorship rules, sorted counts, threshold calculation, and field and career context are explicit. Descriptive bibliometric identity only; it is not a sufficient measure of researcher quality, hiring merit, funding priority, or institutional performance.
Clarity¶
The abstraction clarifies a crowded vocabulary by making the evaluated entity, publication set, citation database and date, document and authorship rules, sorted counts, threshold calculation, and field and career context are explicit the center of the account. A claim should name the carrier, the governing operation or relation, the applicable assumptions, and the recognition test. A bare label is insufficient because the name H-index can be used for a formal identity, an implementation, or a neighboring result unless carrier and convention are stated.
Manages Complexity¶
Without the abstraction, an analyst must reason directly over many local details: the carrier roles, admissibility assumptions, competing conventions, derived invariants, boundary cases, and proof or validation obligations specific to H-index. H-index compresses them into the roles in the structural signature. That compression permits comparison across instances without erasing the variables that determine validity. It also exposes which details may be varied safely and which are constitutive.
Abstract Reasoning¶
- Identify the carrier. State what the elements, states, objects, or observations are: the typed bibliometrics and research evaluation carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets. Reject examples whose alleged carrier belongs to a different problem. 2. Lock the constitutive rule. Express the evaluated entity, publication set, citation database and date, document and authorship rules, sorted counts, threshold calculation, and field and career context are explicit independently of one notation or implementation.
Knowledge Transfer¶
Knowledge transfers strongly among subfields of bibliometrics and research evaluation because they reuse the typed bibliometrics and research evaluation carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets, Citation counts are collected for a declared work set and source, sorted descending, and compared with their ranks; the greatest rank not exceeding its citation count is reported., and type the carrier, state every parameter and convention in the definition, test that the evaluated entity, publication set, citation database and date, document and authorship rules, sorted counts, threshold calculation, and field and career context are explicit, compare the nearest accepted identity, and report counterexamples, uncertainty, and limiting cases.
Relationships to Other Abstractions¶
Current abstraction H-index Domain-specific
Parents (1) — more general patterns this builds on
-
H-index is a kind of Threshold Prime
The proposed strict upward parent is
prime:threshold.
Hierarchy path (1) — routes to 1 parentless root
- H-index → Threshold
Neighborhood in Abstraction Space¶
H-index sits in a moderately populated region (49th percentile for distinctiveness): it has near-neighbors but no dense thicket of look-alikes.
Family — Research Design, Sampling & Metrics (19 abstractions)
Nearest neighbors
- Index term — 0.90
- Loc. cit. — 0.89
- Acknowledgment index — 0.88
- Current research information system — 0.88
- Socratic problem — 0.88
Computed from structural-signature embeddings · 2026-09-08