Pith Number

pith:2HL6K7CY

pith:2007:2HL6K7CYATFVCIGDK5SO5OQYVT

not attested not anchored not stored refs pending

On Fox quotients of arbitrary group algebras

Manfred Hartl

arxiv:0707.0281 v2 · 2007-07-02 · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HL6K7CYATFVCIGDK5SO5OQYVT}

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	2026-05-18T04:18:35.116408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1d7e57c5804cb5120c35764eeba18acc1432170202bdb79115bf645a52a234f

Aliases

arxiv: 0707.0281 · arxiv_version: 0707.0281v2 · doi: 10.48550/arxiv.0707.0281 · pith_short_12: 2HL6K7CYATFV · pith_short_16: 2HL6K7CYATFVCIGD · pith_short_8: 2HL6K7CY

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/2HL6K7CYATFVCIGDK5SO5OQYVT \
  | 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: d1d7e57c5804cb5120c35764eeba18acc1432170202bdb79115bf645a52a234f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac0f482277de91351865fce829a547a3e4a4945718b9db23b5f0fb66c66d7ef6",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2007-07-02T18:58:03Z",
    "title_canon_sha256": "3568428b45a16df9c3271683f2f6e76dba9ea5512734f5827afc049187213150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0281",
    "kind": "arxiv",
    "version": 2
  }
}