Pith Number

pith:6UMDX6AE

pith:2007:6UMDX6AEFET4X55CVA6CHAORCM

not attested not anchored not stored refs pending

Some families of permutation polynomials over finite fields

Michael E. Zieve

arxiv:0707.1111 v1 · 2007-07-07 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6UMDX6AEFET4X55CVA6CHAORCM}

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	2026-05-18T03:11:22.493436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5183bf8042927cbf7a2a83c2381d113065fc667365588c73f7235f4a27b81c3

Aliases

arxiv: 0707.1111 · arxiv_version: 0707.1111v1 · doi: 10.48550/arxiv.0707.1111 · pith_short_12: 6UMDX6AEFET4 · pith_short_16: 6UMDX6AEFET4X55C · pith_short_8: 6UMDX6AE

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/6UMDX6AEFET4X55CVA6CHAORCM \
  | 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: f5183bf8042927cbf7a2a83c2381d113065fc667365588c73f7235f4a27b81c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ac48f34aa4d0316de0aa3a2bca7d208d9e962be4c5c2e67e22d0dc62b0e1f61",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-07-07T20:18:30Z",
    "title_canon_sha256": "d285187ed4def41caa39f9051420ff038dc87630dc6e0c6265f9e227828f6cbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1111",
    "kind": "arxiv",
    "version": 1
  }
}