Pith Number

pith:GSDRZH4J

pith:2008:GSDRZH4JBLHSK2KV2TZIMLXZO4

not attested not anchored not stored refs pending

Pairs of Noncrossing Free Dyck Paths and Noncrossing Partitions

Ellen X.Y. Qu, Richard P. Stanley, Sabrina X.M. Pang, William Y.C. Chen

arxiv:0804.2930 v2 · 2008-04-18 · 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{GSDRZH4JBLHSK2KV2TZIMLXZO4}

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	2026-07-04T15:13:10.255765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34871c9f890acf256955d4f2862ef97733b49bd8cac58ace903ffca7582bdcc3

Aliases

arxiv: 0804.2930 · arxiv_version: 0804.2930v2 · doi: 10.48550/arxiv.0804.2930 · pith_short_12: GSDRZH4JBLHS · pith_short_16: GSDRZH4JBLHSK2KV · pith_short_8: GSDRZH4J

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/GSDRZH4JBLHSK2KV2TZIMLXZO4 \
  | 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: 34871c9f890acf256955d4f2862ef97733b49bd8cac58ace903ffca7582bdcc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e538ed7949fe3850a74ea1979b8fbf1aca85e48357f9d964bfa91fa3cf1ea980",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-04-18T02:50:26Z",
    "title_canon_sha256": "7d93d1870140f29d8a94a825e30b938b414c3866a99ce0355cfcf9a4116066d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.2930",
    "kind": "arxiv",
    "version": 2
  }
}