Pith Number

pith:DINOFY6O

pith:2010:DINOFY6OR3XUROPDQLZS6LBH6L

not attested not anchored not stored refs pending

There are only finitely many distance-regular graphs with valency k at least three, fixed ratio k2/k and large diameter

Greg Markowsky, Jack H. Koolen, Jongyook Park

arxiv:1012.2632 v1 · 2010-12-13 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DINOFY6OR3XUROPDQLZS6LBH6L}

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	2026-05-18T04:33:28.132441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a1ae2e3ce8eef48b9e382f32f2c27f2d79a3e1d3321e616750d1a7137c04cf1

Aliases

arxiv: 1012.2632 · arxiv_version: 1012.2632v1 · doi: 10.48550/arxiv.1012.2632 · pith_short_12: DINOFY6OR3XU · pith_short_16: DINOFY6OR3XUROPD · pith_short_8: DINOFY6O

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/DINOFY6OR3XUROPDQLZS6LBH6L \
  | 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: 1a1ae2e3ce8eef48b9e382f32f2c27f2d79a3e1d3321e616750d1a7137c04cf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a5ae2b9142aac85bf2bf3a544ede06bd8793195dbf05783caa159877f8732ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-13T05:16:45Z",
    "title_canon_sha256": "bc5c9f867c501a1bc168b938c863ec212cd12a74ff5eaf0fc5447363a3ef0e2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2632",
    "kind": "arxiv",
    "version": 1
  }
}