Pith Number

pith:UT3SKL52

pith:2012:UT3SKL52B6G7W2CNZLKSDJZPZT

not attested not anchored not stored refs pending

Combinatorics of r-Dyck paths, r-Parking functions, and the r-Tamari lattices

Francois Bergeron

arxiv:1202.6269 v4 · 2012-02-28 · 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{UT3SKL52B6G7W2CNZLKSDJZPZT}

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	2026-05-18T04:00:51.310763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4f7252fba0f8dfb684dcad521a72fccd151b5db2e67f987b3197484e4e0fe2a

Aliases

arxiv: 1202.6269 · arxiv_version: 1202.6269v4 · doi: 10.48550/arxiv.1202.6269 · pith_short_12: UT3SKL52B6G7 · pith_short_16: UT3SKL52B6G7W2CN · pith_short_8: UT3SKL52

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/UT3SKL52B6G7W2CNZLKSDJZPZT \
  | 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: a4f7252fba0f8dfb684dcad521a72fccd151b5db2e67f987b3197484e4e0fe2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "466e75b2a0c5475a73a19f3e4d16a7ec39807e0a01453175b05d86148e992190",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-28T16:07:35Z",
    "title_canon_sha256": "baac2c26ac4f9333ff23d2979424384cb1c6bb8149bb3663bca0ec4d6663e9c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6269",
    "kind": "arxiv",
    "version": 4
  }
}