Pith Number

pith:UVLMEFCX

pith:2019:UVLMEFCXFMNNTIQIIITCZEH75Q

not attested not anchored not stored refs pending

Equivalence Relations for Computing Permutation Polynomials

Alexander Wong, Brian Malouf, I. Hal Sudborough, Linda Morales, Sergey Bereg, Thomas Stanley

arxiv:1911.12823 v2 · 2019-11-28 · cs.IT · math.CO · 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{UVLMEFCXFMNNTIQIIITCZEH75Q}

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	2026-07-05T00:29:21.313873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a556c214572b1ad9a20842262c90ffec02510c8b5e4d1dacef26806765949524

Aliases

arxiv: 1911.12823 · arxiv_version: 1911.12823v2 · doi: 10.48550/arxiv.1911.12823 · pith_short_12: UVLMEFCXFMNN · pith_short_16: UVLMEFCXFMNNTIQI · pith_short_8: UVLMEFCX

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/UVLMEFCXFMNNTIQIIITCZEH75Q \
  | 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: a556c214572b1ad9a20842262c90ffec02510c8b5e4d1dacef26806765949524

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec7cf33ef219a95cb36e1f8458837e9003af1e669a6e0ab534de2019ddafac5d",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-11-28T18:33:18Z",
    "title_canon_sha256": "ad421608e36b65ea0d9a01357b2e63b62b7f615edbc6920c7d19bd3ac86be055"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.12823",
    "kind": "arxiv",
    "version": 2
  }
}