Pith Number

pith:GYZZXL3K

pith:2019:GYZZXL3KGNVCZWTQC3EPLG34EZ

not attested not anchored not stored refs pending

Hook-content formula using excited Young diagrams

Anatol N. Kirillov, Travis Scrimshaw

arxiv:1904.00371 v1 · 2019-03-31 · 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{GYZZXL3KGNVCZWTQC3EPLG34EZ}

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	2026-05-17T23:49:48.553754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36339baf6a336a2cda7016c8f59b7c2643ca66a799de80054e57ff60f40f1c46

Aliases

arxiv: 1904.00371 · arxiv_version: 1904.00371v1 · doi: 10.48550/arxiv.1904.00371 · pith_short_12: GYZZXL3KGNVC · pith_short_16: GYZZXL3KGNVCZWTQ · pith_short_8: GYZZXL3K

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/GYZZXL3KGNVCZWTQC3EPLG34EZ \
  | 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: 36339baf6a336a2cda7016c8f59b7c2643ca66a799de80054e57ff60f40f1c46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40e0a6c9a8426bdffec31650573a6033755b97caddbf6625558991c8d7b3fd15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-31T09:57:41Z",
    "title_canon_sha256": "63750534a87932f88a3bb0a440ddf7b7d82d580379cc83772dea7683ba68a564"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.00371",
    "kind": "arxiv",
    "version": 1
  }
}