Pith Number

pith:2FDKP5JS

pith:2018:2FDKP5JSVGGRPXWMR56PGEYZGP

not attested not anchored not stored refs pending

Edge-transitive graphs of small order and the answer to a 1967 question by Folkman

Gabriel Verret, Marston Conder

arxiv:1808.05319 v1 · 2018-08-16 · math.CO · 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{2FDKP5JSVGGRPXWMR56PGEYZGP}

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	2026-05-18T00:07:57.565255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d146a7f532a98d17decc8f7cf3131933e18b4708cef98491e665e4b949c0350e

Aliases

arxiv: 1808.05319 · arxiv_version: 1808.05319v1 · doi: 10.48550/arxiv.1808.05319 · pith_short_12: 2FDKP5JSVGGR · pith_short_16: 2FDKP5JSVGGRPXWM · pith_short_8: 2FDKP5JS

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/2FDKP5JSVGGRPXWMR56PGEYZGP \
  | 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: d146a7f532a98d17decc8f7cf3131933e18b4708cef98491e665e4b949c0350e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "601c5e0a2ea8f8f316a9f996d91340798bdccb108c8ac32b1b7ae5a078526409",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-16T01:41:44Z",
    "title_canon_sha256": "38bee9a6d8c9f52c758822cde45663b46ccb569c7f29c67ceb7aec609475120c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05319",
    "kind": "arxiv",
    "version": 1
  }
}