Pith Number

pith:YH4RFKXN

pith:2014:YH4RFKXNYWNDR35OJTJMPNHK5T

not attested not anchored not stored refs pending

A general theory of Wilf-equivalence for Catalan structures

Mathilde Bouvel, Michael Albert

arxiv:1407.8261 v1 · 2014-07-31 · 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{YH4RFKXNYWNDR35OJTJMPNHK5T}

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	2026-05-18T02:46:05.511451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1f912aaedc59a38efae4cd2c7b4eaeccb66818e2c6f4061c5bb3cc899c1c75d

Aliases

arxiv: 1407.8261 · arxiv_version: 1407.8261v1 · doi: 10.48550/arxiv.1407.8261 · pith_short_12: YH4RFKXNYWND · pith_short_16: YH4RFKXNYWNDR35O · pith_short_8: YH4RFKXN

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/YH4RFKXNYWNDR35OJTJMPNHK5T \
  | 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: c1f912aaedc59a38efae4cd2c7b4eaeccb66818e2c6f4061c5bb3cc899c1c75d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38059dd6d6f156279c4249a10527c4b04071648b20ffc7aa45065bf90781e6f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-31T02:05:41Z",
    "title_canon_sha256": "157eab06245f733c24d994c81abede1f9780abf5d8444491b69f8830cb2c43b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8261",
    "kind": "arxiv",
    "version": 1
  }
}