Pith Number

pith:WMRNJHGZ

pith:2017:WMRNJHGZVYDB4LGSRDI4W5J7QF

not attested not anchored not stored refs pending

Distance-regular graphs without 4-claws

Alexander Gavrilyuk, Jack Koolen, Sejeong Bang

arxiv:1706.06036 v1 · 2017-06-19 · 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{WMRNJHGZVYDB4LGSRDI4W5J7QF}

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	2026-05-18T00:42:08.251400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b322d49cd9ae061e2cd288d1cb753f8154ac3a54cdf2678b76d0ca67c46ded52

Aliases

arxiv: 1706.06036 · arxiv_version: 1706.06036v1 · doi: 10.48550/arxiv.1706.06036 · pith_short_12: WMRNJHGZVYDB · pith_short_16: WMRNJHGZVYDB4LGS · pith_short_8: WMRNJHGZ

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/WMRNJHGZVYDB4LGSRDI4W5J7QF \
  | 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: b322d49cd9ae061e2cd288d1cb753f8154ac3a54cdf2678b76d0ca67c46ded52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d2f04c492ae6e900e7ac6d32b808c047785a2d51a35c452eebff2d2ae8589b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-19T16:17:25Z",
    "title_canon_sha256": "ff1b95a6bb0ffbd9d57c727d61c5b7c4a9d7693e320fbbcdf6d0611f897f6abe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06036",
    "kind": "arxiv",
    "version": 1
  }
}