Pith Number

pith:T2N4PIDW

pith:2018:T2N4PIDWTHZ3XDBDY47I6NK7WH

not attested not anchored not stored refs pending

A tiling proof of Euler's pentagnal number theorem and generalizations

Dennis Eichhorn, Hayan Nam, Jaebum Sohn

arxiv:1807.09344 v1 · 2018-07-24 · math.CO · 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{T2N4PIDWTHZ3XDBDY47I6NK7WH}

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	2026-05-18T00:09:51.622753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e9bc7a07699f3bb8c23c73e8f355fb1fe1112787934dcbddfdd495f0dfdfdb0

Aliases

arxiv: 1807.09344 · arxiv_version: 1807.09344v1 · doi: 10.48550/arxiv.1807.09344 · pith_short_12: T2N4PIDWTHZ3 · pith_short_16: T2N4PIDWTHZ3XDBD · pith_short_8: T2N4PIDW

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/T2N4PIDWTHZ3XDBDY47I6NK7WH \
  | 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: 9e9bc7a07699f3bb8c23c73e8f355fb1fe1112787934dcbddfdd495f0dfdfdb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c221af05c6df1cca606e7d6c389ef1e15310870a1772a66843fbcd22923093c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-24T20:54:50Z",
    "title_canon_sha256": "58d52977e68b41b9d1b18da3454e00c2c86220d6eae52ec4d4a69e669a98df6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09344",
    "kind": "arxiv",
    "version": 1
  }
}