An updated h-index measures both the primary and total scientific output of a researcher

The growing interest in scientometry stems from ethical concerns related to the proper evaluation of scientific contributions of an author working in a hard science. In the absence of a consensus, institutions may use arbitrary methods for evaluating scientists for employment and promotion. There are several indices in use that attempt to establish the most appropriate and suggestive position of any scientist in the field he/she works in. A scientist’s Hirsch-index (h-index) quantifies their total effective published output, but h-index summarizes the total value of their published work without regard to their contribution to each publication. Consequently, articles where the author was a primary contributor carry the same weight as articles where the author played a minor role. Thus, we propose an updated h-index named Hirsch(p,t)-index that informs about both total scientific output and output where the author played a primary role. Our measure, h(p,t) = h(p),h(t), is composed of the h-index h(t) and the h-index calculated for articles where the author was a key contributor; i.e. first/shared first or senior or corresponding author. Thus, a h(p,t) = 5,10 would mean that the author has 5 articles as first, shared first, senior or corresponding author with at least 5 citations each, and 10 total articles with at least 10 citations each. This index can be applied in biomedical disciplines and in all areas where the first and last position on an article are the most important. Although other indexes, such as r- and w-indexes, were proposed for measuring the authors’ output based on the position of researchers within the published articles, our simpler strategy uses the already established algorithms for h-index calculation and may be more practical to implement.


Abstract
The growing interest in scientometry stems from ethical concerns related to the proper evaluation of scientific contributions of an author working in a hard science. In the absence of a consensus, institutions may use arbitrary methods for evaluating scientists for employment and promotion. There are several indices in use that attempt to establish the most appropriate and suggestive position of any scientist in the field he/she works in. A scientist's Hirsch-index (hindex) quantifies their total effective published output, but h-index summarizes the total value of their published work without regard to their contribution to each publication. Consequently, articles where the author was a primary contributor carry the same weight as articles where the author played a minor role. Thus, we propose an updated h-index named Hirsch(p,t)-index that informs about both total scientific output and output where the author played a primary role. Our measure, h(p,t) = h(p),h(t), is composed of the h-index h(t) and the hindex calculated for articles where the author was a key contributor; i.e. first/shared first or senior or corresponding author. Thus, a h(p,t) = 5,10 would mean that the author has 5 articles as first, shared first, senior or corresponding author with at least 5 citations each, and 10 total articles with at least 10 citations each. This index can be applied in biomedical disciplines and in all areas where the first and last position on an article are the most important. Although other indexes, such as r-and w-indexes, were proposed for measuring the authors' output based on the position of researchers within the published articles, our simpler strategy uses the already established algorithms for h-index calculation and may be more practical to implement.

Introduction
The current scientific community needs strategies to rank the individual contribution of authors in order to most accurately appreciate the value of their efforts. Scientometry has developed as a useful field for objectively evaluating published scientific work, mainly in hard sciences, including biomedical research. However, as it is expected in science, a number of criticisms were proposed for many of the scientometric indices. Although none of these indices is perfect by itself, a complex assessment can be helpful to most accurately appreciate any author's published work. Moreover, a careful evaluation is critical for the career of scientists, as well as for employers in academia and science alike.

Why do we need an updated h-index?
The h-index, introduced by professor J.E. Hirsch in 2005, is now widely accepted and employed. The hindex of a scientist has index x if x of his/her published articles have at least x citations each and his/her remaining articles have ≤ x citations each 1 . The h-index is a measure of the total effective research output of a scientist 1 . However, the hindex does not take into consideration the order of the authors within the published articles, which in some cases can lead to over-or under-evaluation of the importance of an author's scientific output 2,3 . An author's rank is important in most research fields, including biomedical research, with the first and last (senior or corresponding) authors being the most important contributors to an article. Thus, an updated h-index that includes both a measure of the primary output of an author (as the first, shared first, senior or corresponding author) and the total output of the author (all articles regardless of an author's position -the current h-index) is needed and would be a useful tool in the evaluation of biomedical publication output. Both methods are useful in many cases, but may prove inaccurate in some specific situations 2,3 , including ones where shared first authors or multiple corresponding/senior authors are concerned.

Our proposed h(p,t) index measures both the primary output [h(p) index] and total output [h(t) index].
We propose here an updated Hirsch factor, termed

Hirsch(p,t), or h(p,t), that calculates both the primary research output (h(p) index) and the total research output (h(t) index, currently known as hindex) of an author. h(p,t) = h(p),h(t) is composed of the h-index h(t) calculated for all articles published by the author, and the h-index h(p)
calculated for articles where the author is a key contributor: i.e. first/shared first or last/shared last (senior or corresponding) author.
For example, an author with 10 published articles, of which 2 are as first author and on 1 he/she is the last (corresponding) author, each of the articles being cited more than 10 times, would have an h(p,t)-index of h(p,t)=2+1,10=3,10. This means that the author has 3 articles as first and last author with at least 3 citations each (primary research output), and 10 total articles with at least 10 citations each (total research output).
The h(p,t) index will be very helpful in distinguishing the authors with high primary research output from those with low primary research output, both when their total h indexes have similar or very distinct values.

How will this updated h-index help the research community and evaluation of a researcher's scientific output?
Despite its flaws, the currently used h-index is a useful way of measuring a researcher's total publication output, whereas the primary output as first, shared first, last and shared last author is not measured 2,3,5,6 . Since the employed algorithm used for the h-index calculation is already recognized as useful by the scientific community and is widely used, we believe that addition of the primary research output information to this would be also useful. This can be done by using the same h-index calculation for the total output, adding primary output, and showing them together in the same term.

Why do we think that the h(p,t) index should be employed by the research community?
Using an already accepted algorithm plus additional information on primary research output could allow the scientific community to accept this small, but significant improvement faster than would likely be the case with other proposed and less tested indexes. Moreover, other proposed indexes may miss the already proven usefulness of the h-index.
In our opinion, assigning weight coefficients for the position of authors within an article (r-index or w-index) 2,3 , although useful in many cases, is definitely prone to errors. For example, it is hard to correctly estimate and assign quantitative weight coefficients to compare the work of authors in the same manuscript, even when the contribution of each author is described (which is only true in a small number of journals). Assigning the same weight coefficient for the authors on the same position from different papers could be helpful, but it is not completely accurate. However, such quantitative indexes may complement h-or h(p,t)-indexes in the future.
It is worth pointing out that our strategy takes into consideration not only the first and last authors, but also the shared first or shared last (senior or corresponding) author positions. Although the automatic detection of the first and last author is not a problem, automatic detection of the shared first author or shared senior/corresponding authors by established databases, such as Scientific Citation Index, Google Scholar or Scopus, may be a challenge. A potential

Hirsch(p,t) = h(p,t) = h(p), h(t) h(p) is the h-index calculated based on the articles as first/shared first and last/shared last author (primary output) h(t) is the h-index calculated based on all articles published (known as h-index, or total research output)
Example: h(p,t)=5,10 means that the author has an h-index of 5 for his/her articles published as first and last author, while having an h-index of 10 for all articles solution would be the enabling of limited editing by authors to manually identify shared authorship contributions to improve the accuracy of the h(p,t) index.
In conclusion, we describe a useful and simpler strategy of evaluating researchers' scientific output based on the calculation of the hindex for both the primary and total research output. This strategy can be applied in all fields of research where the first and last authors are the most important authors within published articles, including biomedical research.