Pith Number

pith:ED6SIMCO

pith:2008:ED6SIMCO2N3CIV6USLULTTULX2

not attested not anchored not stored refs pending

Classes of permutation polynomials based on cyclotomy and an additive analogue

Michael E. Zieve

arxiv:0810.2830 v1 · 2008-10-16 · 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{ED6SIMCO2N3CIV6USLULTTULX2}

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	2026-05-18T03:11:22.446068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20fd24304ed3762457d492e8b9ce8bbe9bf33d5244d93103201aca29e6020430

Aliases

arxiv: 0810.2830 · arxiv_version: 0810.2830v1 · doi: 10.48550/arxiv.0810.2830 · pith_short_12: ED6SIMCO2N3C · pith_short_16: ED6SIMCO2N3CIV6U · pith_short_8: ED6SIMCO

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/ED6SIMCO2N3CIV6USLULTTULX2 \
  | 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: 20fd24304ed3762457d492e8b9ce8bbe9bf33d5244d93103201aca29e6020430

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb6e4624bab1c2423847d3fdf912f24404b31385a196c1987e6d508a230af770",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-10-16T02:09:40Z",
    "title_canon_sha256": "35e8f41a621f3941d573a87fba20ce642f3be8f12c0801358aab7dad20f2748f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2830",
    "kind": "arxiv",
    "version": 1
  }
}