Pith Number

pith:VHEGYJAT

pith:2012:VHEGYJATWUE7IZDSEUODBXNCXV

not attested not anchored not stored refs pending

Groups Synchronizing a Transformation of Non-Uniform Kernel

Jo\~ao Ara\'ujo, Peter J. Cameron, Wolfram Bentz

arxiv:1205.0682 v1 · 2012-05-03 · 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{VHEGYJATWUE7IZDSEUODBXNCXV}

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	2026-05-18T03:56:25.280623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9c86c2413b509f46472251c30dda2bd6a6099579f7979549975d79094bb3af0

Aliases

arxiv: 1205.0682 · arxiv_version: 1205.0682v1 · doi: 10.48550/arxiv.1205.0682 · pith_short_12: VHEGYJATWUE7 · pith_short_16: VHEGYJATWUE7IZDS · pith_short_8: VHEGYJAT

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/VHEGYJATWUE7IZDSEUODBXNCXV \
  | 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: a9c86c2413b509f46472251c30dda2bd6a6099579f7979549975d79094bb3af0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ce35186607363a824749a4a1f42254a730bb31a5439794971f5d23fe517d109",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-03T11:52:04Z",
    "title_canon_sha256": "c0bd2bb7b435caf3b55cd3f38b154875c1fbb2048ca9c786621261db984e4840"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0682",
    "kind": "arxiv",
    "version": 1
  }
}