Pith Number

pith:TFOR5FR2

pith:2010:TFOR5FR2YFL6KEZHWCJLIVEOWH

not attested not anchored not stored refs pending

Set-homogeneous directed graphs

Cheryl E. Praeger, Dugald Macpherson, Gordon F. Royle, Robert Gray

arxiv:1011.4216 v1 · 2010-11-18 · 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{TFOR5FR2YFL6KEZHWCJLIVEOWH}

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	2026-05-18T04:35:36.273162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

995d1e963ac157e51327b092b4548eb1fcc3ebf98cb8d6aba93f5cd57609a4f3

Aliases

arxiv: 1011.4216 · arxiv_version: 1011.4216v1 · doi: 10.48550/arxiv.1011.4216 · pith_short_12: TFOR5FR2YFL6 · pith_short_16: TFOR5FR2YFL6KEZH · pith_short_8: TFOR5FR2

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/TFOR5FR2YFL6KEZHWCJLIVEOWH \
  | 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: 995d1e963ac157e51327b092b4548eb1fcc3ebf98cb8d6aba93f5cd57609a4f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb0e228acc6ed3d4791c3a029b750ddfe6023c1c097419050adec1d1935fd595",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-18T15:51:50Z",
    "title_canon_sha256": "55065e5e2309075820db152d921ff8eb8c280c25181410e9f2fbb3d218501275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4216",
    "kind": "arxiv",
    "version": 1
  }
}