Pith Number

pith:PX5Q4LYW

pith:2017:PX5Q4LYWH6RK5NBC5DGUGLRYHN

not attested not anchored not stored refs pending

On the topological complexity of aspherical spaces

Michael Farber, Stephan Mescher

arxiv:1708.06732 v2 · 2017-08-22 · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PX5Q4LYWH6RK5NBC5DGUGLRYHN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

On distributional topological complexity of groups and manifolds

Receipt and verification

First computed	2026-05-18T00:36:38.032745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dfb0e2f163fa2aeb422e8cd432e383b6296e9268a2c866965ebde818ab872b4

Aliases

arxiv: 1708.06732 · arxiv_version: 1708.06732v2 · doi: 10.48550/arxiv.1708.06732 · pith_short_12: PX5Q4LYWH6RK · pith_short_16: PX5Q4LYWH6RK5NBC · pith_short_8: PX5Q4LYW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PX5Q4LYWH6RK5NBC5DGUGLRYHN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7dfb0e2f163fa2aeb422e8cd432e383b6296e9268a2c866965ebde818ab872b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20c766878885f63f650cd736772bd381f252766f56e113a570d4f6562de92f7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-08-22T17:22:48Z",
    "title_canon_sha256": "8ea8584b4f87f8bbe9bf9a9604457eae6de0cd2449c16f615b43ed6f44efc1b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06732",
    "kind": "arxiv",
    "version": 2
  }
}