Pith Number

pith:HQOT2H52

pith:2018:HQOT2H524GA7ZQJ6RG4OKUXH6Z

not attested not anchored not stored refs pending

Sums of squares with restrictions involving primes

Hai-Liang Wu, Zhi-Wei Sun

arxiv:1811.08341 v4 · 2018-11-20 · 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{HQOT2H524GA7ZQJ6RG4OKUXH6Z}

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	2026-05-17T23:44:29.896683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c1d3d1fbae181fcc13e89b8e552e7f653df1e82089ae971445a376622e2ffb1

Aliases

arxiv: 1811.08341 · arxiv_version: 1811.08341v4 · doi: 10.48550/arxiv.1811.08341 · pith_short_12: HQOT2H524GA7 · pith_short_16: HQOT2H524GA7ZQJ6 · pith_short_8: HQOT2H52

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/HQOT2H524GA7ZQJ6RG4OKUXH6Z \
  | 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: 3c1d3d1fbae181fcc13e89b8e552e7f653df1e82089ae971445a376622e2ffb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f09bf8d73af3d6a3363c5f9d0bf2db4ae07ffb9398f8b39088490e6ebf1383cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-11-20T16:13:35Z",
    "title_canon_sha256": "d5abbacb6b7c98858486b2a3a62bd1390ac778db9e92cb25c6889f4d2bb08bfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08341",
    "kind": "arxiv",
    "version": 4
  }
}