Pith Number

pith:375PYKX6

pith:2011:375PYKX6V73EMESNSVLU7HJF7W

not attested not anchored not stored refs pending

Euler's Partition Theorem with Upper Bounds on Multiplicities

Ae Ja Yee, Albert J. W. Zhu, William Y. C. Chen

arxiv:1111.1489 v2 · 2011-11-07 · math.CO · 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{375PYKX6V73EMESNSVLU7HJF7W}

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	2026-05-18T03:48:23.405822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dffafc2afeaff646124d95574f9d25fd81abdcf78de6639c35d4f637b35f27f6

Aliases

arxiv: 1111.1489 · arxiv_version: 1111.1489v2 · doi: 10.48550/arxiv.1111.1489 · pith_short_12: 375PYKX6V73E · pith_short_16: 375PYKX6V73EMESN · pith_short_8: 375PYKX6

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/375PYKX6V73EMESNSVLU7HJF7W \
  | 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: dffafc2afeaff646124d95574f9d25fd81abdcf78de6639c35d4f637b35f27f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "594c77469e0f5d489e9523df2e0a8b64470c2aadb3506bb4457409b60b9dfe8e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-07T05:11:54Z",
    "title_canon_sha256": "01916144896b6841d3d9fad306edf51519e6edbceb9bab8c5c572b401d2f64a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1489",
    "kind": "arxiv",
    "version": 2
  }
}