Pith Number

pith:V6MAPKIT

pith:2015:V6MAPKIT7OO63GSUWCKQSLUPAN

not attested not anchored not stored refs pending

Leaf-to-leaf distances in Catalan trees

Andrew M. Goldsborough, George Rowlands, Jonathan M. Fellows, Matthew Bates, Rudolf A. R\"omer, S. Alex Rautu

arxiv:1502.07893 v3 · 2015-02-27 · math-ph · math.CO · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6MAPKIT7OO63GSUWCKQSLUPAN}

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	2026-05-17T23:53:06.982905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af9807a913fb9ded9a54b095092e8f03592bb424bb91c6530068c4ac73c46184

Aliases

arxiv: 1502.07893 · arxiv_version: 1502.07893v3 · doi: 10.48550/arxiv.1502.07893 · pith_short_12: V6MAPKIT7OO6 · pith_short_16: V6MAPKIT7OO63GSU · pith_short_8: V6MAPKIT

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/V6MAPKIT7OO63GSUWCKQSLUPAN \
  | 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: af9807a913fb9ded9a54b095092e8f03592bb424bb91c6530068c4ac73c46184

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2078cdbffdf7ff6db889e5b946308c8ec755f623d270a910007dc510cf67bbbf",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-02-27T13:37:32Z",
    "title_canon_sha256": "e5ace194b0c57862f5a47ffef64eb1eed6524fbb3ad488783f3e003bff8bddaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07893",
    "kind": "arxiv",
    "version": 3
  }
}