Pith Number

pith:3OQ76MNN

pith:2009:3OQ76MNNANXBWWHN3JQ5WT33T4

not attested not anchored not stored refs pending

On universal sums of polygonal numbers

Zhi-Wei Sun

arxiv:0905.0635 v22 · 2009-05-05 · 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{3OQ76MNNANXBWWHN3JQ5WT33T4}

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	2026-05-18T02:09:54.897043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dba1ff31ad036e1b58edda61db4f7b9f399ad388dce26704c0526bf1857c5654

Aliases

arxiv: 0905.0635 · arxiv_version: 0905.0635v22 · doi: 10.48550/arxiv.0905.0635 · pith_short_12: 3OQ76MNNANXB · pith_short_16: 3OQ76MNNANXBWWHN · pith_short_8: 3OQ76MNN

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/3OQ76MNNANXBWWHN3JQ5WT33T4 \
  | 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: dba1ff31ad036e1b58edda61db4f7b9f399ad388dce26704c0526bf1857c5654

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "989d6b4e4f943030e9e68ac25474293c494ce3973ed89d642a30cdf76ba7f80d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-05-05T18:59:03Z",
    "title_canon_sha256": "9d59ca627f6d24f059331890fe6f0c09eb082bb21ec13d3d6d243002c817b90a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0635",
    "kind": "arxiv",
    "version": 22
  }
}