Pith Number

pith:4WU5QGDM

pith:2010:4WU5QGDMMXSOAUJUBPIL4PFORX

not attested not anchored not stored refs pending

Random Young diagrams in a Rectangular Box

C\'edric Boutillier (PMA, Dan Beltoft (IMF), DMA), Modal'x), Nathana\"el Enriquez (PMA

arxiv:1008.0846 v2 · 2010-08-04 · math.PR · 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{4WU5QGDMMXSOAUJUBPIL4PFORX}

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	2026-05-18T04:33:26.903333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5a9d8186c65e4e051340bd0be3cae8dc03916e4d38e4aff7534babea361415f

Aliases

arxiv: 1008.0846 · arxiv_version: 1008.0846v2 · doi: 10.48550/arxiv.1008.0846 · pith_short_12: 4WU5QGDMMXSO · pith_short_16: 4WU5QGDMMXSOAUJU · pith_short_8: 4WU5QGDM

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/4WU5QGDMMXSOAUJUBPIL4PFORX \
  | 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: e5a9d8186c65e4e051340bd0be3cae8dc03916e4d38e4aff7534babea361415f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a2433234852c542ec7f95196f2fc99a794a545337e5b54a1f40bb3ce9e1cfa1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-04T19:08:07Z",
    "title_canon_sha256": "2c7f28083da10bca4aed2ffb1f4ff9c93a60b5b4513c0bee6eaebfee372704ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0846",
    "kind": "arxiv",
    "version": 2
  }
}