Pith Number

pith:FRN4CEWK

pith:2018:FRN4CEWKUBMLZZOA2EVJMSDXHD

not attested not anchored not stored refs pending

On The Joint Normality of Certain Statistics on Ordered Trees

Yonah Biers-Ariel

arxiv:1805.08076 v2 · 2018-05-21 · 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{FRN4CEWKUBMLZZOA2EVJMSDXHD}

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	2026-05-18T00:00:35.174480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c5bc112caa058bce5c0d12a96487738e8c509b2e887a9a7e4a2cfb3d9516b8c

Aliases

arxiv: 1805.08076 · arxiv_version: 1805.08076v2 · doi: 10.48550/arxiv.1805.08076 · pith_short_12: FRN4CEWKUBML · pith_short_16: FRN4CEWKUBMLZZOA · pith_short_8: FRN4CEWK

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/FRN4CEWKUBMLZZOA2EVJMSDXHD \
  | 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: 2c5bc112caa058bce5c0d12a96487738e8c509b2e887a9a7e4a2cfb3d9516b8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e480bf7cd85e997ee8a006f5617d38206950eef14b19ec34f5117b8cc5c3b02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-21T14:12:40Z",
    "title_canon_sha256": "a8fa293a1daa3da5064a0989d88f9bf6245fced33f31239efdb466cab4899b7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08076",
    "kind": "arxiv",
    "version": 2
  }
}