Pith Number

pith:DFZQBPUO

pith:2017:DFZQBPUOPNUVDQLNMHV7AHM5BP

not attested not anchored not stored refs pending

Gauss factorials of polynomials over finite fields

Min Sha, Xiumei Li

arxiv:1704.04972 v2 · 2017-04-17 · 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{DFZQBPUOPNUVDQLNMHV7AHM5BP}

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	2026-05-18T00:46:11.810956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

197300be8e7b6951c16d61ebf01d9d0be1e1c09ccce47cde9699ef1fe2630a6e

Aliases

arxiv: 1704.04972 · arxiv_version: 1704.04972v2 · doi: 10.48550/arxiv.1704.04972 · pith_short_12: DFZQBPUOPNUV · pith_short_16: DFZQBPUOPNUVDQLN · pith_short_8: DFZQBPUO

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/DFZQBPUOPNUVDQLNMHV7AHM5BP \
  | 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: 197300be8e7b6951c16d61ebf01d9d0be1e1c09ccce47cde9699ef1fe2630a6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc55a61c3ebe8ac566a32a1a51eb62550eefb126573e00b16d4faa8033968297",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-17T14:21:10Z",
    "title_canon_sha256": "a2430a3c55d95467bcec956f8b333c5b3044feabc26c9080ec33d03715f5f61d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04972",
    "kind": "arxiv",
    "version": 2
  }
}