Pith Number

pith:CDUBRLQP

pith:2012:CDUBRLQPZCA4T7TWI6MX5R3PBX

not attested not anchored not stored refs pending

Enumeration and asymptotics of restricted compositions having the same number of parts

Cyril Banderier (LIPN), Pawel Hitczenko

arxiv:1201.6116 v1 · 2012-01-30 · math.CO · cs.DM · 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{CDUBRLQPZCA4T7TWI6MX5R3PBX}

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	2026-05-18T01:25:09.014086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10e818ae0fc881c9fe7647997ec76f0dc9467c53f298f13fee05e2d3046b5190

Aliases

arxiv: 1201.6116 · arxiv_version: 1201.6116v1 · doi: 10.48550/arxiv.1201.6116 · pith_short_12: CDUBRLQPZCA4 · pith_short_16: CDUBRLQPZCA4T7TW · pith_short_8: CDUBRLQP

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/CDUBRLQPZCA4T7TWI6MX5R3PBX \
  | 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: 10e818ae0fc881c9fe7647997ec76f0dc9467c53f298f13fee05e2d3046b5190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cf9ed64173e049222cf48be2dc6c658ef1f887e35de791dc1467a5f7002d01e",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-30T07:01:57Z",
    "title_canon_sha256": "109ff6cf5b3d3c0bbf08164f94ee07513c4552c9fcee3e2b193e0f860dbd8931"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6116",
    "kind": "arxiv",
    "version": 1
  }
}