Pith Number

pith:IO5V6AHE

pith:2013:IO5V6AHEYWHZOBPNNONRBS2G4F

not attested not anchored not stored refs pending

The compositional inverse of a class of bilinear permutation polynomials over finite fields of characteristic 2

Baofeng Wu, Zhuojun Liu

arxiv:1301.0070 v2 · 2013-01-01 · 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{IO5V6AHEYWHZOBPNNONRBS2G4F}

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	2026-05-18T03:28:05.227606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43bb5f00e4c58f9705ed6b9b10cb46e155204c8b5ed40dac90d760b3c2c22e31

Aliases

arxiv: 1301.0070 · arxiv_version: 1301.0070v2 · doi: 10.48550/arxiv.1301.0070 · pith_short_12: IO5V6AHEYWHZ · pith_short_16: IO5V6AHEYWHZOBPN · pith_short_8: IO5V6AHE

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/IO5V6AHEYWHZOBPNNONRBS2G4F \
  | 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: 43bb5f00e4c58f9705ed6b9b10cb46e155204c8b5ed40dac90d760b3c2c22e31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c82b3991161e8c30a2a61131f64a6248bf91c755b97e4f1f231c8132694d548",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-01T09:41:03Z",
    "title_canon_sha256": "6b3cf625cbabf9636c8665d46c5dc9d9e0d3d77d3fff96f35df0cd90dfe734b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0070",
    "kind": "arxiv",
    "version": 2
  }
}