Pith Number

pith:AO3KOKON

pith:2013:AO3KOKONUBIREBZ2NXSXWZ6TED

not attested not anchored not stored refs pending

Proof of a Conjecture on Permutation Polynomials over Finite Fields

Xiang-dong Hou

arxiv:1304.2254 v1 · 2013-04-08 · 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{AO3KOKONUBIREBZ2NXSXWZ6TED}

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	2026-05-18T03:28:43.587670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03b6a729cda05112073a6de57b67d320de469d0fb4615c49a84d7b772cc224eb

Aliases

arxiv: 1304.2254 · arxiv_version: 1304.2254v1 · doi: 10.48550/arxiv.1304.2254 · pith_short_12: AO3KOKONUBIR · pith_short_16: AO3KOKONUBIREBZ2 · pith_short_8: AO3KOKON

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/AO3KOKONUBIREBZ2NXSXWZ6TED \
  | 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: 03b6a729cda05112073a6de57b67d320de469d0fb4615c49a84d7b772cc224eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e45afb69c9e8a07e70990d68c17086e927805a660c35ce78bd5da8e06f6275b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-08T16:08:43Z",
    "title_canon_sha256": "467874026e87f54fef4ab1d94ab3d825ff1ff3d45ab51c119e07593227d0658d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2254",
    "kind": "arxiv",
    "version": 1
  }
}