Pith Number

pith:VV45WBYI

pith:2014:VV45WBYII2RA3XEXQUGKEOHTFN

not attested not anchored not stored refs pending

Davenport constant of the multiplicative semigroup of the quotient ring $\frac{\F_p[x]}{\langle f(x)\rangle}$

Haoli Wang, Lizhen Zhang, Qinghong Wang, Yongke Qu

arxiv:1409.1313 v1 · 2014-09-04 · 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{VV45WBYII2RA3XEXQUGKEOHTFN}

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	2026-05-18T02:43:27.265298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad79db070846a20ddc97850ca238f32b61a821966b6e7950f47930dc1fdca68a

Aliases

arxiv: 1409.1313 · arxiv_version: 1409.1313v1 · doi: 10.48550/arxiv.1409.1313 · pith_short_12: VV45WBYII2RA · pith_short_16: VV45WBYII2RA3XEX · pith_short_8: VV45WBYI

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/VV45WBYII2RA3XEXQUGKEOHTFN \
  | 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: ad79db070846a20ddc97850ca238f32b61a821966b6e7950f47930dc1fdca68a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "470c8a06422f0684817f121c32c23f76e2395a09858f24d2d397f74503495eb4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-04T03:24:56Z",
    "title_canon_sha256": "84469780e57d9e29ad25b91426f698c5cecf6e8b4fce91ad035cf8f824f65880"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1313",
    "kind": "arxiv",
    "version": 1
  }
}