Pith Number

pith:IBYL7NUF

pith:2012:IBYL7NUFUL3MOSKGRKL2C7LFCT

not attested not anchored not stored refs pending

Value sets of polynomial maps over finite fields

Daqing Wan, Gary L. Mullen, Qiang Wang

arxiv:1210.8119 v1 · 2012-10-30 · 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{IBYL7NUFUL3MOSKGRKL2C7LFCT}

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	2026-05-18T03:41:56.977287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4070bfb685a2f6c749468a97a17d6514d71d65589fb73044f6a6959400c11f6f

Aliases

arxiv: 1210.8119 · arxiv_version: 1210.8119v1 · doi: 10.48550/arxiv.1210.8119 · pith_short_12: IBYL7NUFUL3M · pith_short_16: IBYL7NUFUL3MOSKG · pith_short_8: IBYL7NUF

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/IBYL7NUFUL3MOSKGRKL2C7LFCT \
  | 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: 4070bfb685a2f6c749468a97a17d6514d71d65589fb73044f6a6959400c11f6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "253a32a3e35af5bcdaf8230719c86a50955b7799854235a3c6430acb69f45ebf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-30T18:49:12Z",
    "title_canon_sha256": "fb195255b2310f10f2c243b9a6447bcaab96ad0bee15a7834b8f902a65ef4975"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8119",
    "kind": "arxiv",
    "version": 1
  }
}