Pith Number

pith:27ASJE46

pith:2011:27ASJE46AH54A2BQN7EMIKJDDY

not attested not anchored not stored refs pending

The distance-regular graphs such that all of its second largest local eigenvalues are at most one

Hyonju Yu, Jack H. Koolen

arxiv:1102.4292 v1 · 2011-02-21 · 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{27ASJE46AH54A2BQN7EMIKJDDY}

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	2026-05-18T04:28:10.495903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7c124939e01fbc068306fc8c429231e14b70f725109d2624c08a36fca4d21a7

Aliases

arxiv: 1102.4292 · arxiv_version: 1102.4292v1 · doi: 10.48550/arxiv.1102.4292 · pith_short_12: 27ASJE46AH54 · pith_short_16: 27ASJE46AH54A2BQ · pith_short_8: 27ASJE46

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/27ASJE46AH54A2BQN7EMIKJDDY \
  | 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: d7c124939e01fbc068306fc8c429231e14b70f725109d2624c08a36fca4d21a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efbbb3b74c87f490488f43a43fd6ea4c81ac0c31d6df3d67ef0f13a858a58734",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-21T17:55:57Z",
    "title_canon_sha256": "78491d29131878846f6de00ad07e16d1d86714480812c555c74470ab422006fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4292",
    "kind": "arxiv",
    "version": 1
  }
}