Pith Number

pith:YPQ4UQ4H

pith:2011:YPQ4UQ4HAIJAC7LIRHHRJEIOBD

not attested not anchored not stored refs pending

A Note on Beauville p-Groups

Ben Fairbairn, Nathan Barker, Nigel Boston

arxiv:1111.3522 v2 · 2011-11-15 · math.GR · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPQ4UQ4HAIJAC7LIRHHRJEIOBD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:54:49.222078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3e1ca43870212017d6889cf14910e08c7e75d6f319b199014fb0180c18a6a9f

Aliases

arxiv: 1111.3522 · arxiv_version: 1111.3522v2 · doi: 10.48550/arxiv.1111.3522 · pith_short_12: YPQ4UQ4HAIJA · pith_short_16: YPQ4UQ4HAIJAC7LI · pith_short_8: YPQ4UQ4H

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/YPQ4UQ4HAIJAC7LIRHHRJEIOBD \
  | 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: c3e1ca43870212017d6889cf14910e08c7e75d6f319b199014fb0180c18a6a9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62c3c78592de3653916e2934c7cbe3a4ef24daefe2ea79df105d164d7e8d41f2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-11-15T13:17:29Z",
    "title_canon_sha256": "d28f71769e2e00b1478ff14d6ccc2c68d0407c3538046d12cf4092a4376788c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3522",
    "kind": "arxiv",
    "version": 2
  }
}