Pith Number

pith:KEIE4EV7

pith:2022:KEIE4EV7TTPOPJAVPYSWH3PPVU

not attested not anchored not stored refs pending

New classes of permutation polynomials with coefficients 1 over finite fields

Hua Guo, Hutao Song, Jianwei Liu, Xiyong Zhang, Yapeng Wu

arxiv:2207.13335 v1 · 2022-07-27 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KEIE4EV7TTPOPJAVPYSWH3PPVU}

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	2026-07-05T04:44:05.779079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51104e12bf9cdee7a4157e2563edefad2406c99f79e4306839bf2035c3d87270

Aliases

arxiv: 2207.13335 · arxiv_version: 2207.13335v1 · doi: 10.48550/arxiv.2207.13335 · pith_short_12: KEIE4EV7TTPO · pith_short_16: KEIE4EV7TTPOPJAV · pith_short_8: KEIE4EV7

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/KEIE4EV7TTPOPJAVPYSWH3PPVU \
  | 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: 51104e12bf9cdee7a4157e2563edefad2406c99f79e4306839bf2035c3d87270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc43b9a0728fa124738b40dcecba6de74c1f60aa0fd45f7af703c87c37b8e708",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-07-27T07:44:26Z",
    "title_canon_sha256": "1a68104659605da32b211e8eb53e4f2b5cbcde9a1c2dc650834970b998a49aa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.13335",
    "kind": "arxiv",
    "version": 1
  }
}