Pith Number

pith:BAEU7C3Z

pith:2012:BAEU7C3Z7HGQ6XQTSCSVIPURR2

not attested not anchored not stored refs pending

Generalized Galois numbers, inversions, lattice paths, Ferrers diagrams and limit theorems

Svante Janson

arxiv:1203.6480 v1 · 2012-03-29 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BAEU7C3Z7HGQ6XQTSCSVIPURR2}

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	2026-05-18T03:59:02.393804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08094f8b79f9cd0f5e1390a5543e918e8de38e2ec85d9fbc89d1543dbd9e2d24

Aliases

arxiv: 1203.6480 · arxiv_version: 1203.6480v1 · doi: 10.48550/arxiv.1203.6480 · pith_short_12: BAEU7C3Z7HGQ · pith_short_16: BAEU7C3Z7HGQ6XQT · pith_short_8: BAEU7C3Z

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/BAEU7C3Z7HGQ6XQTSCSVIPURR2 \
  | 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: 08094f8b79f9cd0f5e1390a5543e918e8de38e2ec85d9fbc89d1543dbd9e2d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4882f45182263cace454a791414b28193252193786866c382f335e6993e1063d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-29T10:27:13Z",
    "title_canon_sha256": "d88fc71c73244436210dc2995bebd66d4a9f3b01eb80a3d8b4bf83e6c1ad029d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6480",
    "kind": "arxiv",
    "version": 1
  }
}