Pith Number

pith:2KPYJTPP

pith:2015:2KPYJTPPI7HVYNW5VTIXCD4WOB

not attested not anchored not stored refs pending

New formulas counting one-face maps and Chapuy's recursion

Christian M. Reidys, Ricky X. F. Chen

arxiv:1510.05038 v5 · 2015-10-16 · 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{2KPYJTPPI7HVYNW5VTIXCD4WOB}

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	2026-05-18T00:46:02.794193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d29f84cdef47cf5c36ddacd1710f967067e8fd6aff287d303453a66012b3316d

Aliases

arxiv: 1510.05038 · arxiv_version: 1510.05038v5 · doi: 10.48550/arxiv.1510.05038 · pith_short_12: 2KPYJTPPI7HV · pith_short_16: 2KPYJTPPI7HVYNW5 · pith_short_8: 2KPYJTPP

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/2KPYJTPPI7HVYNW5VTIXCD4WOB \
  | 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: d29f84cdef47cf5c36ddacd1710f967067e8fd6aff287d303453a66012b3316d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "935721f2d09cdd138bfc8fd27d8f5737a5f08f47158a29b057834466422337a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-16T22:08:27Z",
    "title_canon_sha256": "180ef795fb551e6e80b361fee29e08bfd562663ab2deb6a19a0f0838eac1e94f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05038",
    "kind": "arxiv",
    "version": 5
  }
}