Pith Number

pith:6MV35522

pith:2014:6MV35522L5M3WGDX4C5Q2NPTRT

not attested not anchored not stored refs pending

An Elementary Proof of the Cayley Formula Using Random Maps

Andrew He, Ray Li, Scott Wu, Steven Hao

arxiv:1409.1614 v1 · 2014-09-04 · 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{6MV35522L5M3WGDX4C5Q2NPTRT}

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	2026-05-18T02:43:25.662083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f32bbef75a5f59bb1877e0bb0d35f38ce4be224736e230b1bcee24f6a1047fc0

Aliases

arxiv: 1409.1614 · arxiv_version: 1409.1614v1 · doi: 10.48550/arxiv.1409.1614 · pith_short_12: 6MV35522L5M3 · pith_short_16: 6MV35522L5M3WGDX · pith_short_8: 6MV35522

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/6MV35522L5M3WGDX4C5Q2NPTRT \
  | 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: f32bbef75a5f59bb1877e0bb0d35f38ce4be224736e230b1bcee24f6a1047fc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "656700014173d67fec1c995e95070afd2dd464572e23726cbd69d1c575cbba11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-04T21:16:39Z",
    "title_canon_sha256": "2b6c40f313177793d01253c46fdc506ece4b5521c8e0376fc4730237deef65a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1614",
    "kind": "arxiv",
    "version": 1
  }
}