Pith Number

pith:54YBOLGU

pith:2013:54YBOLGUWNTF4VCQ4FQRAIA2GM

not attested not anchored not stored refs pending

Ordered Partitions Avoiding a Permutation of Length 3

Alvin Y.L. Dai, Robin D.P. Zhou, William Y.C. Chen

arxiv:1304.3187 v1 · 2013-04-11 · 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{54YBOLGUWNTF4VCQ4FQRAIA2GM}

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	2026-05-18T03:28:18.397220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef30172cd4b3665e5450e16110201a333089ce1557b646990ddbe3208cb3edc7

Aliases

arxiv: 1304.3187 · arxiv_version: 1304.3187v1 · doi: 10.48550/arxiv.1304.3187 · pith_short_12: 54YBOLGUWNTF · pith_short_16: 54YBOLGUWNTF4VCQ · pith_short_8: 54YBOLGU

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/54YBOLGUWNTF4VCQ4FQRAIA2GM \
  | 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: ef30172cd4b3665e5450e16110201a333089ce1557b646990ddbe3208cb3edc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "724f130e79e293815d0cb42769f4b92f378d9f1787cc35bca9eb55bac53f8b3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-11T03:49:20Z",
    "title_canon_sha256": "91dff0e3048b234cee82c6b82cad6a11e343949abfaf79edcfa62cd90837ce54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3187",
    "kind": "arxiv",
    "version": 1
  }
}