Pith Number

pith:5RH7NKCV

pith:2013:5RH7NKCVYXEFX34DLBUEYGQAUZ

not attested not anchored not stored refs pending

On the limiting distribution of some numbers of crossings in set partitions

Anisse Kasraoui

arxiv:1301.6540 v1 · 2013-01-28 · 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{5RH7NKCVYXEFX34DLBUEYGQAUZ}

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	2026-05-18T03:35:15.058077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec4ff6a855c5c85bef8358684c1a00a65bba8e802d0b34599e1b868dac0d90ee

Aliases

arxiv: 1301.6540 · arxiv_version: 1301.6540v1 · doi: 10.48550/arxiv.1301.6540 · pith_short_12: 5RH7NKCVYXEF · pith_short_16: 5RH7NKCVYXEFX34D · pith_short_8: 5RH7NKCV

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/5RH7NKCVYXEFX34DLBUEYGQAUZ \
  | 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: ec4ff6a855c5c85bef8358684c1a00a65bba8e802d0b34599e1b868dac0d90ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8886c7cd47e2cff52190b58e474e4c29c6f21e4b9d26d404f6d3d2ec57d66016",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-28T13:25:22Z",
    "title_canon_sha256": "22336d69af42d6dc2a0bf516406d2f4396c365f3574c991d4e1e24f49544966f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6540",
    "kind": "arxiv",
    "version": 1
  }
}