Pith Number

pith:YTCAW3IU

pith:2018:YTCAW3IUPHAH5HXFPGWPAFCGVV

not attested not anchored not stored refs pending

Simple proofs and expressions for the restricted partition function and its polynomial part

C. Vignat, S. Robins

arxiv:1802.07310 v1 · 2018-02-20 · 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{YTCAW3IUPHAH5HXFPGWPAFCGVV}

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	2026-05-18T00:22:50.492088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4c40b6d1479c07e9ee579acf01446ad4842e547ae188b9d39cc96b092d7d5d0

Aliases

arxiv: 1802.07310 · arxiv_version: 1802.07310v1 · doi: 10.48550/arxiv.1802.07310 · pith_short_12: YTCAW3IUPHAH · pith_short_16: YTCAW3IUPHAH5HXF · pith_short_8: YTCAW3IU

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/YTCAW3IUPHAH5HXFPGWPAFCGVV \
  | 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: c4c40b6d1479c07e9ee579acf01446ad4842e547ae188b9d39cc96b092d7d5d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eab36fcdf1e09b21b3754a7f7a21ed8cd59aff2dba72a4fccf8ed8fc2dceecd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-20T20:19:20Z",
    "title_canon_sha256": "0004a23257be20a5c1b1ec1df2960127dadb8ec3a41a22516b4933977b06a55a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07310",
    "kind": "arxiv",
    "version": 1
  }
}