Pith Number

pith:S6PI347U

pith:2018:S6PI347UMKHCLGAFSZCEV3UCYM

not attested not anchored not stored refs pending

On the order of regular graphs with fixed second largest eigenvalue

Jack H. Koolen, Jae Young Yang

arxiv:1809.01888 v1 · 2018-09-06 · 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{S6PI347UMKHCLGAFSZCEV3UCYM}

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	2026-05-18T00:06:21.731391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

979e8df3f4628e25980596444aee82c32795568f967df83d6ed8317a7ef4ca17

Aliases

arxiv: 1809.01888 · arxiv_version: 1809.01888v1 · doi: 10.48550/arxiv.1809.01888 · pith_short_12: S6PI347UMKHC · pith_short_16: S6PI347UMKHCLGAF · pith_short_8: S6PI347U

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/S6PI347UMKHCLGAFSZCEV3UCYM \
  | 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: 979e8df3f4628e25980596444aee82c32795568f967df83d6ed8317a7ef4ca17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cb2a00dfbaf4adba8e9be6a2345e261e288a72c51abd51e7812c37eed3b9f08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-06T09:03:09Z",
    "title_canon_sha256": "eac5aaba14f0e361a9b2fca424b3ad0d74fb44af89041deec2fd33ecfc265fae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01888",
    "kind": "arxiv",
    "version": 1
  }
}