Pith Number

pith:E24SXUKN

pith:2012:E24SXUKNVPYIXAACCJ2BFV2IXL

not attested not anchored not stored refs pending

Permutation polynomials of finite fields

Christopher J. Shallue

arxiv:1211.6044 v1 · 2012-11-23 · math.NT · 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{E24SXUKNVPYIXAACCJ2BFV2IXL}

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	2026-05-18T03:39:53.580105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26b92bd14dabf08b8002127412d748baed25bc91c16c60f1df81b67e8d6e3c32

Aliases

arxiv: 1211.6044 · arxiv_version: 1211.6044v1 · doi: 10.48550/arxiv.1211.6044 · pith_short_12: E24SXUKNVPYI · pith_short_16: E24SXUKNVPYIXAAC · pith_short_8: E24SXUKN

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/E24SXUKNVPYIXAACCJ2BFV2IXL \
  | 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: 26b92bd14dabf08b8002127412d748baed25bc91c16c60f1df81b67e8d6e3c32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d29d6f472b88722827b01d0cc9da6427d087c74c2f1e9f668f01288a6607c22",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-23T01:25:49Z",
    "title_canon_sha256": "3e82e1b542bbae146714664d4127e1849ca228ff101fe797b0a7d46c2325c7a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6044",
    "kind": "arxiv",
    "version": 1
  }
}