Stack Exchange — math.stackexchange.com

A Stack Exchange (math.stackexchange.com) dataset of 318,785 users, 1,665,884 answer-collaboration edges, 1,641,406 questions, 2,146,413 answers, collected by Stack Exchange, Inc. via the annual Stack Exchange Data Dump. Each record contains user nodes (reputation, badge counts, vote history), directed weighted edges (answerer→asker, weight=answer score, count=interactions, accepted=bool), post text, tag distribution. User collaboration network from math.stackexchange.com — directed weighted graph where edges represent knowledge-sharing relationships (A answered B's question), with edge weight reflecting answer quality. Enables prestige hierarchy, community detection, and expertise flow analysis.. Suitable for expertise network analysis, reputation systems, community detection, knowledge flow, PageRank-based authority ranking, Q&A platform dynamics..

#Expertise network#Mathematics#Reputation#Stack exchange data dump

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Analytics

The interactive network needs JavaScript.

· graph.json

The full graph has 318,785 nodes; this view shows the 1,000-node sample the pipeline drew for display. Node size is centrality, colour is community.

318.8K
Nodes
1.7M
Edges
1.64e-05
Density
1.6K
Components
-0.07943
Assortativity
0.2%
Reciprocity
129.2K
Bridges
Most central nodes
587420.00364
807080.00284
1034410.00276
258050.00254
246900.00249
543980.00231
429120.0023
143110.00225
5577080.00225
2943650.00211
Content metrics

3,787,819 records scored · min–maxmean ± 0.675 σ (the interquartile range if the values are roughly normal)mean

scoreμ 2.174 ± 6.045
min -25max 1.6K
view countμ 372.78 ± 3.4K
min 0max 718.8K
answer countμ 0.567 ± 1.001
min 0max 164
comment countμ 1.878 ± 2.673
min 0max 111
9.9
Flesch–Kincaid grade
US school grade level
12.2
Automated readability index
Frequent terms
fracmathbbamprightleftfunctionsetnumberletinftysqrtquestionknowfindtimesgivenproblempointexamplelikewayalphacaseusesinnumberssum_spacegroupprooftheoremanswersumendcdotthetafunctionsequationwantthinkcosneedpointstextproveleqmatrixordertheorydon
Topic clusters

Topic 0

angle
circle
point
line
triangle
area
curve
coordinate

Topic 1

book
math
mathematic
student
school
good
mathematical
learn

Topic 2

set
axiom
logic
cardinality
subset
number
cardinal
proof

Topic 3

prime
integer
divide
number
proof
theorem
factor
divisible

Topic 4

group
subgroup
order
element
abelian
cyclic
coset
normal

Topic 5

series
converge
limit
sequence
convergence
sum
convergent
subsequence

Topic 6

probability
coin
card
win
game
dice
chance
head

Topic 7

root
polynomial
degree
complex
equation
factor
quadratic
number

Topic 8

space
open
topology
metric
set
compact
neighborhood
closed

Topic 9

distribution
random
variable
probability
variance
deviation
density
normal

Topic 10

matrix
eigenvalue
row
determinant
column
entry
eigenvector
symmetric

Topic 11

graph
edge
vertex
cycle
tree
node
path
planar
Show all 31 topics

Topic 12

hint
multiply
simplify
rewrite
term
equation
formula
answer

Topic 13

digit
number
integer
decimal
binary
amp
combination
array

Topic 14

cohomology
sheaf
homology
homotopy
group
space
projective
knot

Topic 15

derivative
differential
equation
function
solution
ode
variable
solve

Topic 16

integral
integration
integrate
evaluate
elliptic
substitution
integrand
contour

Topic 17

ring
ideal
field
prime
domain
maximal
commutative
extension

Topic 18

fourier
transform
convolution
function
series
periodic
frequency
period

Topic 19

continuous
function
differentiable
integrable
derivative
continuity
uniformly
interval

Topic 20

measure
measurable
set
union
lebesgue
countable
borel
cantor

Topic 21

inequality
fraction
sum
progression
continue
continued
recurrence
term

Topic 22

manifold
curvature
smooth
riemannian
boundary
embed
metric
compact

Topic 23

vector
basis
tensor
space
linear
map
product
dimensional

Topic 24

prove
proof
disc
yellow
heath
wrong
zagier
proceed

Topic 25

geometry
hyperbolic
plane
point
sphere
circle
triangle
euclidean

Topic 26

amp
row
matrix
equation
system
solution
column
solve

Topic 27

category
functor
morphism
adjoint
object
natural
forgetful
arrow

Topic 28

constraint
optimal
optimization
feasible
objective
lagrange
problem
programming

Topic 29

solve
equation
solution
liter
water
ratio
help
form

Topic 30

zeta
riemann
euler
function
hypothesis
zero
critical
strip
Top hashtags
#396.5K
#c00318
#0a0174
#251
#150
#16041
#90f41
#324
#18322
#21520
#g16
#0af13
#413
#x25b313
#829011
#v10
#2239
#1768
#58
#67

Sampled: text metrics from 50K of 12.5M records; topic model from 20K.

Record

Catalog key
stackexchange-math-stackexchange-com
Authors
Stack Exchange, Inc.
Year
2025
Source paper
Stack Exchange Data Dump
License
CC BY-SA 2.5 / 3.0 / 4.0 (by post date) (CC-BY-SA-2.5 AND CC-BY-SA-3.0 AND CC-BY-SA-4.0)
Records
12,548,084
Nodes
318,785
Edges
1,665,884 (directed)
Nodes are
user (Stack Exchange account)
Edges are
answer collaboration (A answered B's question)
Attributes
nodes have attributes; edges have attributes
Text corpus
question titles, post bodies, comment text, tag names
Languages
en
Collected
2010/2024 (2010s, 2020s)
Tasks
From the graph: link prediction, community detection
Region
Global (inferred: the platform is used worldwide)

Provenance

Originally published at
https://archive.org/download/stackexchange link checked
Hosted copy
Mirrored on echo.directory on 2026-10-09, 3.4 GB across 1 files. Checksums in MANIFEST.json.

How to cite

BibTeX

@misc{echo2026,
  title  = {ECHO: Exploratory Compendium of Humanity Online},
  author = {Switzer, Braden and Zafarani, Reza},
  year   = {2026},
  url    = {https://echo.directory},
  note   = {Syracuse University}
}

@misc{stackexchange_2025,
  title     = {Stack Exchange Data Dump},
  author    = {{Stack Exchange, Inc.}},
  year      = {2025},
  publisher = {Internet Archive},
  url       = {https://archive.org/download/stackexchange}
}

APA

Switzer, B., & Zafarani, R. (2026). ECHO: Exploratory Compendium of Humanity Online [Data repository]. Syracuse University. https://echo.directory

Stack Exchange, Inc. (2025). Stack Exchange — math.stackexchange.com [Data set]. https://stackexchange-math-stackexchange-com.echo.directory/

MLA

Switzer, Braden, and Reza Zafarani. ECHO: Exploratory Compendium of Humanity Online. Syracuse University, 2026, echo.directory.

Stack Exchange, Inc. Stack Exchange — math.stackexchange.com. 2025, stackexchange-math-stackexchange-com.echo.directory/.

BibTeX · RIS · CSL-JSON

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