Pith Number

pith:WZGBKSZM

pith:2012:WZGBKSZME7W4EOQAQEM7EPDLA2

not attested not anchored not stored refs pending

On the power pseudovariety $\mathbf{PCS}$

K. Auinger

arxiv:1202.5511 v1 · 2012-02-24 · 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{WZGBKSZME7W4EOQAQEM7EPDLA2}

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	2026-05-18T03:46:18.387093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b64c154b2c27edc23a008119f23c6b06b2a6f9c021e72403642d98f7f0c12d0d

Aliases

arxiv: 1202.5511 · arxiv_version: 1202.5511v1 · doi: 10.48550/arxiv.1202.5511 · pith_short_12: WZGBKSZME7W4 · pith_short_16: WZGBKSZME7W4EOQA · pith_short_8: WZGBKSZM

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/WZGBKSZME7W4EOQAQEM7EPDLA2 \
  | 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: b64c154b2c27edc23a008119f23c6b06b2a6f9c021e72403642d98f7f0c12d0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b855a952aeae90804ab3168e42bea345015e86e98354b42195eefcd203571d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-02-24T17:44:25Z",
    "title_canon_sha256": "fe1796ad1376b35f318d0c1a1536e4d856ec242a40a77cbcb71a0fc5cabc143d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5511",
    "kind": "arxiv",
    "version": 1
  }
}