Pith Number

pith:KGH2JA6R

pith:2015:KGH2JA6RPGYZP5AO4XP7FGENRQ

not attested not anchored not stored refs pending

Maximizing the order of a regular graph of given valency and second eigenvalue

Hiroshi Nozaki, Jack H. Koolen, Jason R. Vermette, Sebastian M. Cioab\u{a}

arxiv:1503.06286 v2 · 2015-03-21 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGH2JA6RPGYZP5AO4XP7FGENRQ}

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	2026-05-18T00:52:02.360554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

518fa483d179b197f40ee5dff2988d8c2adb02f4fe9a44ec386b237554d95e5d

Aliases

arxiv: 1503.06286 · arxiv_version: 1503.06286v2 · doi: 10.48550/arxiv.1503.06286 · pith_short_12: KGH2JA6RPGYZ · pith_short_16: KGH2JA6RPGYZP5AO · pith_short_8: KGH2JA6R

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/KGH2JA6RPGYZP5AO4XP7FGENRQ \
  | 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: 518fa483d179b197f40ee5dff2988d8c2adb02f4fe9a44ec386b237554d95e5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6ef9d733554d62c3586b9d1f83b53d2c795dee3038e1fb01eaf35088b5ad55b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-21T11:13:58Z",
    "title_canon_sha256": "fa0c7b47c3826eb68f17879b35f06dba2d521b4938b99a33931a90be3a9ec2a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06286",
    "kind": "arxiv",
    "version": 2
  }
}