[Tex/LaTex] two different \mathcal{H}

fontsmathcal

I encountered the following version of \mathcal{H} and like it a lot:

mathcal.version

This is slightly different from the usual one from Computer Modern font:

usual

I have done some search and tried different fonts, e.g., mtpro2, mathptmx, and mathpazo etc., but could not find the first \mathcal{H}.

Here is my question: Is there a way that I could get the first one? Is it some sort of "old \mathcal symbols"?

Any help would be highly appreciated.

PS: I have found an example for the source of the first \mathcal{H} here is the link on arXiv preprint page.

I downloaded the *.tex file of that pdf, and here are all the packages used there:

\documentclass[11pt]{article}  
\usepackage{xcolor}  
\definecolor{labelkey}{rgb}{0,0.08,0.45}  
\definecolor{refkey}{rgb}{0,0.6,0.0}  
\definecolor{Brown}{rgb}{0.45,0.0,0.05}  
\definecolor{dgreen}{rgb}{0.00,0.40,0.00}  
\definecolor{dblue}{rgb}{0,0.08,0.45}  

\usepackage{amsmath}  
\usepackage{amssymb}  
\usepackage{theorem}

Of course, typing \mathcal{H} in this setting yields the second one, but somehow the \mathcal{H} in the link looks like this:

arXiv

So I guess there must be something "weird" going on here.

PS:
I often see the first one in papers published by Springer, e.g., https://link.springer.com/content/pdf/10.1007%2Fs000200300015.pdf (it appears right in the title)

I also saw the first one \mathcal{H} in this question svmono template and `\mathcal`.

Best Answer

The H comes from the standard font cmsy10, but an old version. There was a change in 2009. (The cited typesetting-script.pdf was created at 2009-02-11, using the old symbol font.)

The symbol with cmsy10.pfb from an old TeX Live 5 (2000):

\mathcal{H} before 2009

The font file cmsy10.pfb from TL 5 (2000) contains:

CMSY10 1.0
%%CreationDate: 1991 Aug 15 07:20:57
% Copyright (C) 1997 American Mathematical Society.  All Rights Reserved.

The current font file (2018) contains:

%%Title: CMSY10
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society

Very likely there was a font change in 2009 or before that changed the calligraphic uppercase H.

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