Pith Number

pith:Y2PZTEJL

pith:2017:Y2PZTEJLSSELEBL7KTYKZT4KLW

not attested not anchored not stored refs pending

A general construction of permutation polynomials of the form $ (x^{2^m}+x+\delta)^{i(2^m-1)+1}+x$ over $\F_{2^{2m}}$

Baofeng Wu, Libo Wang

arxiv:1712.08066 v1 · 2017-12-21 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2PZTEJLSSELEBL7KTYKZT4KLW}

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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	2026-05-18T00:27:28.928355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c69f99912b9488b2057f54f0accf8a5dbc2ecfee66e43356535db3ba710e8aee

Aliases

arxiv: 1712.08066 · arxiv_version: 1712.08066v1 · doi: 10.48550/arxiv.1712.08066 · pith_short_12: Y2PZTEJLSSEL · pith_short_16: Y2PZTEJLSSELEBL7 · pith_short_8: Y2PZTEJL

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/Y2PZTEJLSSELEBL7KTYKZT4KLW \
  | 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: c69f99912b9488b2057f54f0accf8a5dbc2ecfee66e43356535db3ba710e8aee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3d38f4d21aefeddb771b5345fde3b3693e32a8e2447579daf99a613013fd6cd",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-12-21T16:35:39Z",
    "title_canon_sha256": "a08cfdb7248593e99ab617908f7efd850403142c38d3e2c47d2104c1b05af0b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08066",
    "kind": "arxiv",
    "version": 1
  }
}