Pith Number

pith:6VPFU4BU

pith:2012:6VPFU4BUSS5OU7VBAC22VG4T5Z

not attested not anchored not stored refs pending

Representations of The miraculous Klein group

Jan Minac, Sunil K. Chebolu

arxiv:1209.4074 v1 · 2012-09-18 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VPFU4BUSS5OU7VBAC22VG4T5Z}

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	2026-05-18T03:45:21.840491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f55e5a703494baea7ea100b5aa9b93ee62bebd6cf3240ae78a78141625f21523

Aliases

arxiv: 1209.4074 · arxiv_version: 1209.4074v1 · doi: 10.48550/arxiv.1209.4074 · pith_short_12: 6VPFU4BUSS5O · pith_short_16: 6VPFU4BUSS5OU7VB · pith_short_8: 6VPFU4BU

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/6VPFU4BUSS5OU7VBAC22VG4T5Z \
  | 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: f55e5a703494baea7ea100b5aa9b93ee62bebd6cf3240ae78a78141625f21523

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d627f5d875e254f16261ef29110b30b34de0f28381a36470f89ee05e8e8137d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-18T19:53:08Z",
    "title_canon_sha256": "e7d7ae9c486332e57043770ffb1cbbdacecc5571722995b1bf483e612d126e3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4074",
    "kind": "arxiv",
    "version": 1
  }
}