Pith Number

pith:QANE7G3O

pith:2014:QANE7G3OJUP2FIK3R7LTTX2YT6

not attested not anchored not stored refs pending

Six proofs for an identity of the Lah numbers

Bai-Ni Guo, Feng Qi

arxiv:1402.2035 v3 · 2014-02-10 · math.CO · math.CA · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QANE7G3OJUP2FIK3R7LTTX2YT6}

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	2026-05-18T00:42:13.827971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

801a4f9b6e4d1fa2a15b8fd739df589fb8015c322e8896f843392fb09ef7f6e0

Aliases

arxiv: 1402.2035 · arxiv_version: 1402.2035v3 · doi: 10.48550/arxiv.1402.2035 · pith_short_12: QANE7G3OJUP2 · pith_short_16: QANE7G3OJUP2FIK3 · pith_short_8: QANE7G3O

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/QANE7G3OJUP2FIK3R7LTTX2YT6 \
  | 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: 801a4f9b6e4d1fa2a15b8fd739df589fb8015c322e8896f843392fb09ef7f6e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c722cf6eb16ec1c358fb1f5ccc3e76249f7ad7ff39bf4c4412c9c59916c50f6",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-10T04:54:16Z",
    "title_canon_sha256": "86d765aaa43788d5b8cca2ac7653dd4de5689926145df5c1998dec780df77768"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2035",
    "kind": "arxiv",
    "version": 3
  }
}