Pith Number

pith:E3PXWJRB

pith:2019:E3PXWJRBXYXXCTOKIHNN32BRZO

not attested not anchored not stored refs pending

Girth, words and diameter

Aner Shalev, Martin W. Liebeck

arxiv:1903.00748 v2 · 2019-03-02 · math.GR · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3PXWJRBXYXXCTOKIHNN32BRZO}

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	2026-05-17T23:50:40.617793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26df7b2621be2f714dca41dadde831cb80801fbfd97f4d547f9902a3c6c9a3f3

Aliases

arxiv: 1903.00748 · arxiv_version: 1903.00748v2 · doi: 10.48550/arxiv.1903.00748 · pith_short_12: E3PXWJRBXYXX · pith_short_16: E3PXWJRBXYXXCTOK · pith_short_8: E3PXWJRB

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/E3PXWJRBXYXXCTOKIHNN32BRZO \
  | 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: 26df7b2621be2f714dca41dadde831cb80801fbfd97f4d547f9902a3c6c9a3f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48d81ed13cceaa5caaa72652afa6277419187b6d5e33b6b1a2d8b5c6c9b1ca66",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-03-02T19:16:24Z",
    "title_canon_sha256": "5b9a70fb8b5bfe8dc36b964e4e0d5f65e74290076697ac4285a5d83f72285e3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.00748",
    "kind": "arxiv",
    "version": 2
  }
}