Pith Number

pith:QXZRXHLY

pith:2019:QXZRXHLYIGJYAVKRC7RMURJQPY

not attested not anchored not stored refs pending

Stack words and a bound for 3-stack sortable permutations

Miklos Bona

arxiv:1903.04113 v4 · 2019-03-11 · 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{QXZRXHLYIGJYAVKRC7RMURJQPY}

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.

Cited by

1 paper in Pith

Lattice Paths and Pattern-Avoiding Uniquely Sorted Permutations

Receipt and verification

First computed	2026-07-05T00:35:00.122356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85f31b9d78419380555117e2ca45307e2bb9c34300bc0bf096bb3e37506e57bb

Aliases

arxiv: 1903.04113 · arxiv_version: 1903.04113v4 · doi: 10.48550/arxiv.1903.04113 · pith_short_12: QXZRXHLYIGJY · pith_short_16: QXZRXHLYIGJYAVKR · pith_short_8: QXZRXHLY

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/QXZRXHLYIGJYAVKRC7RMURJQPY \
  | 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: 85f31b9d78419380555117e2ca45307e2bb9c34300bc0bf096bb3e37506e57bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3332f21497975f606281776696de11ca80742cfac4acf94c871c43fe8bca8592",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-11T03:32:01Z",
    "title_canon_sha256": "6140fc959ac5ec43ca9d735d723232de3653fb47ccbdcfd18d668347c3d4124d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04113",
    "kind": "arxiv",
    "version": 4
  }
}