Pith Number

pith:AIQG2HTP

pith:2017:AIQG2HTP2HRXDVAWFHDXCVSXAU

not attested not anchored not stored refs pending

On The Limiting Distributions of the Total Height On Families of Trees

Andrew Lohr, Doron Zeilberger

arxiv:1702.04745 v3 · 2017-02-15 · 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{AIQG2HTP2HRXDVAWFHDXCVSXAU}

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	2026-05-18T00:48:14.562037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02206d1e6fd1e371d41629c77156570508a2ffd8d8310e81dd7efb5e20f7561f

Aliases

arxiv: 1702.04745 · arxiv_version: 1702.04745v3 · doi: 10.48550/arxiv.1702.04745 · pith_short_12: AIQG2HTP2HRX · pith_short_16: AIQG2HTP2HRXDVAW · pith_short_8: AIQG2HTP

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/AIQG2HTP2HRXDVAWFHDXCVSXAU \
  | 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: 02206d1e6fd1e371d41629c77156570508a2ffd8d8310e81dd7efb5e20f7561f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da1249f43b45a7c9c64a9d6477a5710bd201affbe79d061736f583c3367d3698",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-15T19:34:12Z",
    "title_canon_sha256": "ff30a2b908c65fc4ca2abbf6261fa077c5ca4e28ea1646058037308a4c1635b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04745",
    "kind": "arxiv",
    "version": 3
  }
}