Pith Number

pith:ZYISWCSP

pith:2016:ZYISWCSPDAMEKZ77TOJQSE33E4

not attested not anchored not stored refs pending

Permutation polynomials of the form x+c*Tr(x^k)

Gohar Kyureghyan, Michael Zieve

arxiv:1603.01175 v1 · 2016-03-03 · math.NT · 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{ZYISWCSPDAMEKZ77TOJQSE33E4}

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	2026-05-18T01:19:39.499572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce112b0a4f18184567ff9b9309137b270509c7b6d49f744b9586bb18dc003957

Aliases

arxiv: 1603.01175 · arxiv_version: 1603.01175v1 · doi: 10.48550/arxiv.1603.01175 · pith_short_12: ZYISWCSPDAME · pith_short_16: ZYISWCSPDAMEKZ77 · pith_short_8: ZYISWCSP

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/ZYISWCSPDAMEKZ77TOJQSE33E4 \
  | 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: ce112b0a4f18184567ff9b9309137b270509c7b6d49f744b9586bb18dc003957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e21a9d515cdc20a7ddd620ba8415b7e33586d56eb14dedfc7c7365f0a1989bd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-03T16:56:42Z",
    "title_canon_sha256": "474b76a3ac1723e69c7d3e81db5540e1fdf980e66f164b28070d7091e37c88a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01175",
    "kind": "arxiv",
    "version": 1
  }
}