Pith Number

pith:EW5ZLR4K

pith:2022:EW5ZLR4KF4JGOCV2HSXOZ5KMCV

not attested not anchored not stored refs pending

The maximum hook length of $d$-distinct simultaneous core partitions

Benjamin Przybocki, Ethan Pesikoff, Janabel Xia

arxiv:2209.09973 v1 · 2022-09-20 · 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{EW5ZLR4KF4JGOCV2HSXOZ5KMCV}

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	2026-07-05T04:59:43.299824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25bb95c78a2f12670aba3caeecf54c156736db4858862bd2434fd953955d02be

Aliases

arxiv: 2209.09973 · arxiv_version: 2209.09973v1 · doi: 10.48550/arxiv.2209.09973 · pith_short_12: EW5ZLR4KF4JG · pith_short_16: EW5ZLR4KF4JGOCV2 · pith_short_8: EW5ZLR4K

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/EW5ZLR4KF4JGOCV2HSXOZ5KMCV \
  | 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: 25bb95c78a2f12670aba3caeecf54c156736db4858862bd2434fd953955d02be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fc8b15c912d0c8b5f86089be28899595746ddc3e485da82c5fbef87a6147045",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-09-20T20:00:51Z",
    "title_canon_sha256": "3238ad25fe6a42fa6974d22aaa91babfc3f22d3311630d782350cfb210f66e5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.09973",
    "kind": "arxiv",
    "version": 1
  }
}