PRODUCTS
Products Overview
Mathematica
Mathematica for Students
Mathematica Home Edition
Wolfram
CDF Player
(free download)
Computable Document Format (CDF)
web
Mathematica
grid
Mathematica
Wolfram
Workbench
Mathematica
Add-Ons
Wolfram|Alpha Products
SOLUTIONS
Solutions Overview
Engineering
Aerospace Engineering & Defense
Chemical Engineering
Control Systems
Electrical Engineering
Image Processing
Industrial Engineering
Materials Science
Mechanical Engineering
Operations Research
Optics
Petroleum Engineering
Biotechnology & Medicine
Bioinformatics
Medical Imaging
Finance, Statistics & Business Analysis
Actuarial Sciences
Data Analysis & Mining
Econometrics
Economics
Financial Engineering & Mathematics
Financial Risk Management
Statistics
Software Engineering & Content Delivery
Authoring & Publishing
Interface Development
Software Engineering
Web Development
Science
Astronomy
Biological Sciences
Chemistry
Environmental Sciences
Geosciences
Social & Behavioral Sciences
Design, Arts & Entertainment
Game Design, Special Effects & Generative Art
Education
STEM Education Initiative
Higher Education
Community & Technical College Education
Primary & Secondary Education
Students
Technology
Computable Document Format (CDF)
High-Performance & Parallel Computing (HPC)
See Also: Technology Guide
PURCHASE
Online Store
Other Ways to Buy
Volume & Site Licensing
Contact Sales
Software
Service
Upgrades
Training
Books
SUPPORT
Support Overview
Knowledge Base
Learning Center
Community & Forums
Training & Free Seminars
Does My Site Have a License?
Wolfram User Portal
COMPANY
About Wolfram Research
News & Events
Wolfram Blog
Partnerships
Employment Opportunities
History of
Mathematica
Stephen Wolfram's Home Page
Contact Us
OUR SITES
All Sites
Wolfram|Alpha
Demonstrations Project
MathWorld
Integrator
Wolfram Functions Site
Mathematica Journal
Wolfram Media
Wolfram
Tones
Wolfram Science
Stephen Wolfram
DOCUMENTATION CENTER SEARCH
New to
Mathematica
?
Find your learning path
»
Mathematica
>
Data Manipulation
>
Processing Textual Data
>
Hash
>
Mathematica
>
Computable Data
>
Linguistic Data
>
Processing Textual Data
>
Hash
>
BUILT-IN MATHEMATICA SYMBOL
FileHash
LeafCount
ByteCount
Dispatch
See Also »
|
Converting between Expressions & Strings
Cryptographic Number Theory
Expression Structure
Memory Measurement & Optimization
Processing Textual Data
String Manipulation
String Operations
New in 6.0: Core Language
More About »
Hash
Hash
[
expr
]
gives an integer hash code for the expression
expr
.
Hash
gives an integer hash code of the specified type for
expr
.
MORE INFORMATION
Hash
will always give the same result for the same expression
expr
.
Possible hash code types include:
"Adler32"
Adler 32-bit cyclic redundancy check
"CRC32"
32-bit cyclic redundancy check
"MD2"
128-bit MD2 code
"MD5"
128-bit MD5 code
"SHA"
160-bit SHA-1 code
"SHA256"
256-bit SHA code
"SHA384"
384-bit SHA code
"SHA512"
512-bit SHA code
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Digital fingerprint of data:
MD5 checksum given in hexadecimal form:
In[1]:=
Out[1]=
Digital fingerprint of data:
In[1]:=
Out[1]=
MD5 checksum given in hexadecimal form:
In[1]:=
Out[1]=
Scope
(8)
Adler 32-bit cyclic redundancy check:
32-bit cyclic redundancy check:
128-bit MD2 code:
128-bit MD5 code:
160-bit SHA code:
256-bit SHA code:
384-bit SHA code:
512-bit SHA code:
Applications
(2)
Provide a "checksum" to validate data integrity:
Change some of the data:
The checksum has changed:
A concatenated cryptographic hash function:
Hash code of "abcdef":
Properties & Relations
(3)
The hash is always the same for identical expressions:
Distinct hash codes come from distinct inputs:
Distinct inputs can give the same hash codes:
Neat Examples
(1)
Distribution of hash values:
SEE ALSO
FileHash
LeafCount
ByteCount
Dispatch
MORE ABOUT
Converting between Expressions & Strings
Cryptographic Number Theory
Expression Structure
Memory Measurement & Optimization
Processing Textual Data
String Manipulation
String Operations
New in 6.0: Core Language
New in 1 | Last modified in 8