Pith Number

pith:A3TSPY3K

pith:2018:A3TSPY3KKJ6OJ4WUF5EJC2QDQU

not attested not anchored not stored refs pending

Rook and Wilf equivalence of integer partitions

Dan Saracino, Jonathan Bloom

arxiv:1808.04238 v1 · 2018-08-13 · 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{A3TSPY3KKJ6OJ4WUF5EJC2QDQU}

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	2026-05-18T00:08:18.501956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06e727e36a527ce4f2d42f48916a03850511609834e97508a15835de77bea845

Aliases

arxiv: 1808.04238 · arxiv_version: 1808.04238v1 · doi: 10.48550/arxiv.1808.04238 · pith_short_12: A3TSPY3KKJ6O · pith_short_16: A3TSPY3KKJ6OJ4WU · pith_short_8: A3TSPY3K

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/A3TSPY3KKJ6OJ4WUF5EJC2QDQU \
  | 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: 06e727e36a527ce4f2d42f48916a03850511609834e97508a15835de77bea845

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4644c5a4e7c31a67cb331b9638bf1cd3bb18d15cf08d269ba337a4020910a55",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-13T14:09:57Z",
    "title_canon_sha256": "129390b69c6f2f64fdc3a0cdc3bb7ad9b22f542c55b778e9896232f26e7bbe34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04238",
    "kind": "arxiv",
    "version": 1
  }
}