Pith Number

pith:5YWBM5NJ

pith:2008:5YWBM5NJQQGSMEYGRIIXSGG2OB

not attested not anchored not stored refs pending

More bijective Catalan combinatorics on permutations and on signed permutations

Christian Stump

arxiv:0808.2822 v3 · 2008-08-20 · 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{5YWBM5NJQQGSMEYGRIIXSGG2OB}

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

Fuss--Catalan algebras on generalized Dyck paths via non-crossing partitions

Receipt and verification

First computed	2026-05-18T03:09:00.037758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee2c1675a9840d2613068a117918da70415f7b420f2fdeb43ccab4cb1f650f37

Aliases

arxiv: 0808.2822 · arxiv_version: 0808.2822v3 · doi: 10.48550/arxiv.0808.2822 · pith_short_12: 5YWBM5NJQQGS · pith_short_16: 5YWBM5NJQQGSMEYG · pith_short_8: 5YWBM5NJ

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/5YWBM5NJQQGSMEYGRIIXSGG2OB \
  | 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: ee2c1675a9840d2613068a117918da70415f7b420f2fdeb43ccab4cb1f650f37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29d1213b78cf559b3619d9730017531169a0c5fe8c4fd18e09f8d337a3d32419",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-08-20T21:04:32Z",
    "title_canon_sha256": "a52b5d5014e466b647dfae31e3103bb3b1db733b52f8e9ac9225f2747ef77018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2822",
    "kind": "arxiv",
    "version": 3
  }
}