Pith Number

pith:JU33EJTN

pith:2011:JU33EJTNT3TPPKBR4OKW5GHZ2W

not attested not anchored not stored refs pending

Generating sets of Affine groups of low genus

Gehao Wang, Kay Magaard, Sergey Shpectorov

arxiv:1108.4833 v1 · 2011-08-24 · 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{JU33EJTNT3TPPKBR4OKW5GHZ2W}

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	2026-05-18T01:10:33.891094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d37b2266d9ee6f7a831e3956e98f9d5bf057131e0aa4157ece39fd55a6a344e

Aliases

arxiv: 1108.4833 · arxiv_version: 1108.4833v1 · doi: 10.48550/arxiv.1108.4833 · pith_short_12: JU33EJTNT3TP · pith_short_16: JU33EJTNT3TPPKBR · pith_short_8: JU33EJTN

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/JU33EJTNT3TPPKBR4OKW5GHZ2W \
  | 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: 4d37b2266d9ee6f7a831e3956e98f9d5bf057131e0aa4157ece39fd55a6a344e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd56d39a6f092b734c27a199441f42cd0dc4527923d933d4a878a41c359e677e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-08-24T13:19:39Z",
    "title_canon_sha256": "deb408ca48f5a0f12ded8625c279b56a4f2e378362ed7362e137d44440657bd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4833",
    "kind": "arxiv",
    "version": 1
  }
}