Pith Number

pith:4IGVVE74

pith:2010:4IGVVE74IMZHWPM5HHKAD7EGV6

not attested not anchored not stored refs pending

Enumeration of area-weighed Dyck paths with restricted height

Aleksander L Owczarek, Thomas Prellberg

arxiv:1004.1699 v2 · 2010-04-10 · 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{4IGVVE74IMZHWPM5HHKAD7EGV6}

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	2026-05-18T04:09:36.433637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e20d5a93fc43327b3d9d39d401fc86afb3de78a5e504a6abdac9cd856ac7ccbe

Aliases

arxiv: 1004.1699 · arxiv_version: 1004.1699v2 · doi: 10.48550/arxiv.1004.1699 · pith_short_12: 4IGVVE74IMZH · pith_short_16: 4IGVVE74IMZHWPM5 · pith_short_8: 4IGVVE74

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/4IGVVE74IMZHWPM5HHKAD7EGV6 \
  | 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: e20d5a93fc43327b3d9d39d401fc86afb3de78a5e504a6abdac9cd856ac7ccbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55308e33da8a82ff01a3e90135153a7e556756fd7261424e953643b4797f75c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-04-10T09:22:27Z",
    "title_canon_sha256": "a3c9fee42c1983e762a16a9ce4ff987dfe3846b75ed96f7d67d0a36ce3fdf6cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1699",
    "kind": "arxiv",
    "version": 2
  }
}