Pith Number

pith:UCKU5LDZ

pith:2014:UCKU5LDZHPUOP55MUP2YS73YW5

not attested not anchored not stored refs pending

The Grothendieck-Teichm\"uller group of a finite group and $G$-dessins d'enfants

Pierre Guillot

arxiv:1407.3112 v3 · 2014-07-11 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCKU5LDZHPUOP55MUP2YS73YW5}

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.

Receipt and verification

First computed	2026-05-18T01:25:24.719064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0954eac793be8e7f7aca3f5897f78b76e5cf940c499e3cff92a616d99da77f5

Aliases

arxiv: 1407.3112 · arxiv_version: 1407.3112v3 · doi: 10.48550/arxiv.1407.3112 · pith_short_12: UCKU5LDZHPUO · pith_short_16: UCKU5LDZHPUOP55M · pith_short_8: UCKU5LDZ

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/UCKU5LDZHPUOP55MUP2YS73YW5 \
  | 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: a0954eac793be8e7f7aca3f5897f78b76e5cf940c499e3cff92a616d99da77f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecb489440e6cd3d9a92844666ed474fef01df810288ea23f679bcfe9370e1e88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-07-11T11:12:59Z",
    "title_canon_sha256": "b0da48f9a3bdbbc88c72dc6ea85c25b138310be2c9d351351ab45b8b45fd43e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3112",
    "kind": "arxiv",
    "version": 3
  }
}