Pith Number

pith:VNG2ZMK3

pith:2016:VNG2ZMK3QCJDKLQNW5G3R55U4Q

not attested not anchored not stored refs pending

Complete permutation polynomials from exceptional polynomials

Daniele Bartoli, Giovanni Zini, Luciane Quoos, Massimo Giulietti

arxiv:1606.00465 v2 · 2016-06-01 · 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{VNG2ZMK3QCJDKLQNW5G3R55U4Q}

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	2026-05-18T00:50:35.601999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab4dacb15b8092352e0db74db8f7b4e405cdd3af7c58530801166c3a8fea0f2f

Aliases

arxiv: 1606.00465 · arxiv_version: 1606.00465v2 · doi: 10.48550/arxiv.1606.00465 · pith_short_12: VNG2ZMK3QCJD · pith_short_16: VNG2ZMK3QCJDKLQN · pith_short_8: VNG2ZMK3

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/VNG2ZMK3QCJDKLQNW5G3R55U4Q \
  | 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: ab4dacb15b8092352e0db74db8f7b4e405cdd3af7c58530801166c3a8fea0f2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f29918cd6ca8cefed83daa4cb85d0659a6b6749205f817c5ffe68f9d350f7c9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-01T20:51:24Z",
    "title_canon_sha256": "2e8b977ea6f7c6bf4cfd98019fdd4ae20701c9e05c182092530146d1aaf7a6b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00465",
    "kind": "arxiv",
    "version": 2
  }
}