Pith Number

pith:GOA4ETFN

pith:2013:GOA4ETFNS7GEYVWBHJDBRP7DG6

not attested not anchored not stored refs pending

Permutation polynomials induced from permutations of subfields, and some complete sets of mutually orthogonal latin squares

Michael E. Zieve

arxiv:1312.1325 v3 · 2013-12-04 · math.NT · 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{GOA4ETFNS7GEYVWBHJDBRP7DG6}

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	2026-05-18T03:05:17.609941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3381c24cad97cc4c56c13a4618bfe337bf773783bb4e94a4fb078e83f7986e0a

Aliases

arxiv: 1312.1325 · arxiv_version: 1312.1325v3 · doi: 10.48550/arxiv.1312.1325 · pith_short_12: GOA4ETFNS7GE · pith_short_16: GOA4ETFNS7GEYVWB · pith_short_8: GOA4ETFN

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/GOA4ETFNS7GEYVWBHJDBRP7DG6 \
  | 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: 3381c24cad97cc4c56c13a4618bfe337bf773783bb4e94a4fb078e83f7986e0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5854196ea5e46040158126ebdc841725c021309c528b4568423dcf19923b3620",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-04T20:54:31Z",
    "title_canon_sha256": "21f9b388d9e0f7f5ca09311f194ff299fbd947a7a3f8ffd44716553b3c1ce73f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1325",
    "kind": "arxiv",
    "version": 3
  }
}