Pith Number

pith:ZWAQMRWN

pith:2017:ZWAQMRWNWCWHUVTJL7QUVPMBIE

not attested not anchored not stored refs pending

Further factorization of $x^n-1$ over a finite field

Qin Yue, Shuqin Fan, Yansheng Wu

arxiv:1710.07943 v1 · 2017-10-22 · cs.IT · math.IT · 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{ZWAQMRWNWCWHUVTJL7QUVPMBIE}

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	2026-05-18T00:32:19.357503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd810646cdb0ac7a56695fe14abd814130b1fe8846c06dbf19dd83b491b70d9b

Aliases

arxiv: 1710.07943 · arxiv_version: 1710.07943v1 · doi: 10.48550/arxiv.1710.07943 · pith_short_12: ZWAQMRWNWCWH · pith_short_16: ZWAQMRWNWCWHUVTJ · pith_short_8: ZWAQMRWN

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/ZWAQMRWNWCWHUVTJL7QUVPMBIE \
  | 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: cd810646cdb0ac7a56695fe14abd814130b1fe8846c06dbf19dd83b491b70d9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2aa808932bec41920e6c770ea495f60313dcbefbc735994f04cff4e96bd00bc",
    "cross_cats_sorted": [
      "math.IT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-10-22T14:03:09Z",
    "title_canon_sha256": "f94b782018f0e85d543710ff8be5ed6dcde286af2d9c042fb1fefa96b9b0de3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07943",
    "kind": "arxiv",
    "version": 1
  }
}