Pith Number

pith:CBPUCCY2

pith:2020:CBPUCCY2QDVJMX5EEAZ2T4XJO3

not attested not anchored not stored refs pending

On the number of distinct roots of a lacunary polynomial over finite fields

Chi Hoi Yip, Ethan P. White, Jozsef Solymosi

arxiv:2008.09962 v1 · 2020-08-23 · 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{CBPUCCY2QDVJMX5EEAZ2T4XJO3}

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	2026-07-05T02:29:54.699400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

105f410b1a80ea965fa42033a9f2e976c019e5e0cd42ed0e42b56b575468dede

Aliases

arxiv: 2008.09962 · arxiv_version: 2008.09962v1 · doi: 10.48550/arxiv.2008.09962 · pith_short_12: CBPUCCY2QDVJ · pith_short_16: CBPUCCY2QDVJMX5E · pith_short_8: CBPUCCY2

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/CBPUCCY2QDVJMX5EEAZ2T4XJO3 \
  | 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: 105f410b1a80ea965fa42033a9f2e976c019e5e0cd42ed0e42b56b575468dede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "818fdcb88506c0184f50fbccc81e2238fcbd4318fa10e2e7625a946e971f5439",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-08-23T05:15:22Z",
    "title_canon_sha256": "89a237e9be3179d85d54156a93cf7b6a518a5686f2299ae47a5b5d892b65ef03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.09962",
    "kind": "arxiv",
    "version": 1
  }
}