Pith Number

pith:ZWXFEW3C

pith:2019:ZWXFEW3C3YWM2QOBHCCYF64PVM

not attested not anchored not stored refs pending

The size of $t$-cores and hook lengths of random cells in random partitions

Arvind Ayyer, Shubham Sinha

arxiv:1911.03135 v3 · 2019-11-08 · math.PR · 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{ZWXFEW3C3YWM2QOBHCCYF64PVM}

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	2026-07-05T05:45:22.230142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdae525b62de2ccd41c1388582fb8fab0189bc6af302f93ff7d2bca8f0875135

Aliases

arxiv: 1911.03135 · arxiv_version: 1911.03135v3 · doi: 10.48550/arxiv.1911.03135 · pith_short_12: ZWXFEW3C3YWM · pith_short_16: ZWXFEW3C3YWM2QOB · pith_short_8: ZWXFEW3C

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/ZWXFEW3C3YWM2QOBHCCYF64PVM \
  | 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: cdae525b62de2ccd41c1388582fb8fab0189bc6af302f93ff7d2bca8f0875135

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cd5c86a30e3323c839872861d1bfecea0414b53c587222b72c4ff83d458a5bc",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-11-08T09:07:10Z",
    "title_canon_sha256": "4b736c2c52a0fb56c7406879c4a4b5ac41197ae23006f5c37a424321d84d2433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.03135",
    "kind": "arxiv",
    "version": 3
  }
}