Pith Number

pith:J4NRTXTV

pith:2012:J4NRTXTVGPEY3WRFY47D2ZYOVD

not attested not anchored not stored refs pending

Recursive bijections for Catalan objects

Mehdi Maleki, Michael Strayer, Mohammadmehdi Kafashan, Stefan Forcey

arxiv:1212.1188 v2 · 2012-12-05 · 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{J4NRTXTVGPEY3WRFY47D2ZYOVD}

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	2026-05-18T03:32:16.799790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f1b19de7533c98dda25c73e3d670ea8f2cda189d5f453d049b5e49630654537

Aliases

arxiv: 1212.1188 · arxiv_version: 1212.1188v2 · doi: 10.48550/arxiv.1212.1188 · pith_short_12: J4NRTXTVGPEY · pith_short_16: J4NRTXTVGPEY3WRF · pith_short_8: J4NRTXTV

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/J4NRTXTVGPEY3WRFY47D2ZYOVD \
  | 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: 4f1b19de7533c98dda25c73e3d670ea8f2cda189d5f453d049b5e49630654537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4be7fbf12dc5f64665d4f3f53ac7d91cb134a286b0a06e40237f85a9b80bc23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-05T21:41:29Z",
    "title_canon_sha256": "aefd48aea14eba6db2164f062d2ee01b85cc1679803f1b0f7c5e1cc748eb8924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1188",
    "kind": "arxiv",
    "version": 2
  }
}