Archives refers to a collection of records, and also refers to the location in which these records are kept. Archives are made up of records which have been created during the course of an individual or organisation's life. In general an archive consists of records which have been selected for permanent or long-term preservation. Records, which may be in any media, are normally unpublished, unlike books and other publications. Archives may also be generated by large organizations such as corporations and governments. The highest level of organization of records in an archive is known as the fonds. Archives are distinct from libraries insofar as archives hold records which are unique. Archives can be described as holding information "by-products" of activities, while libraries hold specifically authored information "products". The word 'archives' is the correct terminology, whereas 'archive' as a noun or a verb is related to computer science. *

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Algebraic Number Theory Archive - Number theory/arithmetic geometry. (~200 articles)
Banach Space Bulletin Board - Banach spaces/functional analysis. (~400 articles, arXiv overlay)
Center for Commutative Algebra - Preprint announcements and links.
Meta Description: [ a website devoted to the collection and dissemination of information relevant to the commutative algebra community ]
Conservation Laws Preprint Server - Analysis/simulation of conservative PDEs. (100+ articles)
Meta Description: [ The scope of this preprint server is
papers on new and recent results concerning conservation laws. The main focus
is on mathematical analysis and numerical methods, but papers concerning
applications are also welcome. ]
Cryptology ePrint Archive - At the IACR.
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European Singularities Network - Singularities in geometry and complex analysis. Searchable index (100+ articles).
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Groups, Representations, and Cohomology Preprint Archive - Algebraic topology/finite group theory. (100s of articles.)
Hopf Topology Archive - Algebraic topology and related areas. (~400 articles)
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Jordan Theory Preprint Archives - Jordan algebras and related topics (~100 articles).
K-theory Preprint Archive - K-theory (generalized cohomology theories). (~400 articles)
Meta Description: [ Electronic preprint archives for mathematics research papers in K-theory. ]
Linear Algebraic Groups and Related Structures - Including Azumaya Algebras, Algebras with Involutions, Brauer Groups, Quadratic and Hermitean Forms, Witt Rings, Lie and Jordan Algebras, Homogeneous Varieties. DVI, PS, PDF (~80 items).
Markov Chain Monte Carlo Preprint Service - A list of all registered papers on MCMC methodology currently submitted for publication. Based at the Statistical Laboratory of the University of Cambridge.
Mathematical Physics Archive - Also called mp_arc; at UT Austin. (2000- articles)
MGNet Preprints - Multigrid and other methods for PDE simulation. (100+ articles)
Optimization Online - A repository of eprints about optimisation and related topics.
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Probability Abstract Service - Probability Abstract Letters are sent about once every two months. The subscription is free.
Shelah's Archive - Papers by Saharon Shelah in logic and related. (100s of articles, arXiv mirrored)
Meta Description: [ This page contains the archive of Saharon Shelah's mathematical papers.
Professor Shelah is a mathematician working at the
Hebrew University of Jerusalem and Rutgers University in New Jersey, USA. ]
Topology Atlas Preprints - Mostly general topology. (400+ articles)
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