Pith Number

pith:AY3662KO

pith:2016:AY3662KO55LDRDQOFP3RPW3LPZ

not attested not anchored not stored refs pending

On rational Dyck paths and the enumeration of factor-free Dyck words

Daniel Birmajer, Juan B. Gil, Michael D. Weiner

arxiv:1606.02183 v2 · 2016-06-07 · 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{AY3662KO55LDRDQOFP3RPW3LPZ}

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	2026-05-18T00:12:35.745563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0637ef694eef56388e0e2bf717db6b7e5db2d37da15ab626ec1d16b6f7be8824

Aliases

arxiv: 1606.02183 · arxiv_version: 1606.02183v2 · doi: 10.48550/arxiv.1606.02183 · pith_short_12: AY3662KO55LD · pith_short_16: AY3662KO55LDRDQO · pith_short_8: AY3662KO

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/AY3662KO55LDRDQOFP3RPW3LPZ \
  | 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: 0637ef694eef56388e0e2bf717db6b7e5db2d37da15ab626ec1d16b6f7be8824

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27e084ae33bb1ed1aa501a97f7096de576a394137d102fb8c070a959e9d1d2a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-07T15:31:42Z",
    "title_canon_sha256": "e33be433e76378194bea1b742d7ef1c4ac3b9cea488953d0ca72ed89377b3094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02183",
    "kind": "arxiv",
    "version": 2
  }
}