Pith Number

pith:EWO2IPOV

pith:2018:EWO2IPOVN63PBVNMHJVEZ2RKO4

not attested not anchored not stored refs pending

Colored partitions and the hooklength formula: partition statistic identities

Emily E. Anible, William J. Keith

arxiv:1812.11256 v1 · 2018-12-29 · 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{EWO2IPOVN63PBVNMHJVEZ2RKO4}

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	2026-05-17T23:57:12.407280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

259da43dd56fb6f0d5ac3a6a4cea2a77132bb379dd50080518a61cf138a69348

Aliases

arxiv: 1812.11256 · arxiv_version: 1812.11256v1 · doi: 10.48550/arxiv.1812.11256 · pith_short_12: EWO2IPOVN63P · pith_short_16: EWO2IPOVN63PBVNM · pith_short_8: EWO2IPOV

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/EWO2IPOVN63PBVNMHJVEZ2RKO4 \
  | 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: 259da43dd56fb6f0d5ac3a6a4cea2a77132bb379dd50080518a61cf138a69348

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cd337d08cd540dd23d731df646b35170956f9c25f7b177a4a7b1790266fb152",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-29T01:06:14Z",
    "title_canon_sha256": "161bedbdde41511aa43faf093fbe164d74a51c936ae5766d8ad260d520dbe45f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11256",
    "kind": "arxiv",
    "version": 1
  }
}