Pith Number

pith:QKA33B7X

pith:2019:QKA33B7XBX655Q7FD4IC6YOKU6

not attested not anchored not stored refs pending

Permutation polynomials of degree 8 over finite fields of odd characteristic

Xiang Fan

arxiv:1905.04202 v1 · 2019-05-10 · 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{QKA33B7XBX655Q7FD4IC6YOKU6}

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	2026-07-05T00:40:55.308547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8281bd87f70dfddec3e51f102f61caa7b37e6d5542c53add62c68b5a9b4bd097

Aliases

arxiv: 1905.04202 · arxiv_version: 1905.04202v1 · doi: 10.48550/arxiv.1905.04202 · pith_short_12: QKA33B7XBX65 · pith_short_16: QKA33B7XBX655Q7F · pith_short_8: QKA33B7X

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/QKA33B7XBX655Q7FD4IC6YOKU6 \
  | 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: 8281bd87f70dfddec3e51f102f61caa7b37e6d5542c53add62c68b5a9b4bd097

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99b6674f2fb361f23925b1e6409ae52ff12692ef32aa30af2ca6d2966ee4e4d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-05-10T14:57:35Z",
    "title_canon_sha256": "a3a4a83afd49925ceb548e311a25cc79c894c841ab2bd6994754df54be84be7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04202",
    "kind": "arxiv",
    "version": 1
  }
}