Pith Number

pith:4PY53UZN

pith:2019:4PY53UZNDGVTTYNZX4PITUUQWV

not attested not anchored not stored refs pending

Combinatorics of Bousquet-M\'elou-Schaeffer numbers in the light of topological recursion

Boris Bychkov, Petr Dunin-Barkowski, Sergey Shadrin

arxiv:1908.04147 v1 · 2019-08-12 · math.CO · math-ph · 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{4PY53UZNDGVTTYNZX4PITUUQWV}

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	2026-07-05T02:02:50.837095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3f1ddd32d19ab39e1b9bf1e89d290b56ad525ab26068ca46204e83a44102b7a

Aliases

arxiv: 1908.04147 · arxiv_version: 1908.04147v1 · doi: 10.48550/arxiv.1908.04147 · pith_short_12: 4PY53UZNDGVT · pith_short_16: 4PY53UZNDGVTTYNZ · pith_short_8: 4PY53UZN

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/4PY53UZNDGVTTYNZX4PITUUQWV \
  | 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: e3f1ddd32d19ab39e1b9bf1e89d290b56ad525ab26068ca46204e83a44102b7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca69e0bb6908b637a13a27566cc64cae171eedd353b7a12ed97093fc8f74eae1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-12T13:46:02Z",
    "title_canon_sha256": "c3b31edd92d60e2f443e78c805e8a26dab4d1be58fcc17bff91716c021664a40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04147",
    "kind": "arxiv",
    "version": 1
  }
}