Pith Number

pith:RETKWKHI

pith:2015:RETKWKHIQOVM4CF22S6FLWP2SF

not attested not anchored not stored refs pending

On the Christensen-Wang bounds for the ghost number of a p-group algebra

David J. Green, Fatma Altunbulak Aksu

arxiv:1502.05727 v1 · 2015-02-19 · 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{RETKWKHIQOVM4CF22S6FLWP2SF}

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	2026-05-18T01:10:38.667822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8926ab28e883aace08bad4bc55d9fa9140108ba2d596e1918f5d1f0d7088809f

Aliases

arxiv: 1502.05727 · arxiv_version: 1502.05727v1 · doi: 10.48550/arxiv.1502.05727 · pith_short_12: RETKWKHIQOVM · pith_short_16: RETKWKHIQOVM4CF2 · pith_short_8: RETKWKHI

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/RETKWKHIQOVM4CF22S6FLWP2SF \
  | 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: 8926ab28e883aace08bad4bc55d9fa9140108ba2d596e1918f5d1f0d7088809f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cf7f1ebcc34ddb87a23e459c24044e87544e7cd885a88b02044f75dbbca7d28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-02-19T21:16:58Z",
    "title_canon_sha256": "5bd02c572045f965b4a9a057f0359087f7f3ba8ce3bd3228f403b8d533e1dcdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05727",
    "kind": "arxiv",
    "version": 1
  }
}