Pith Number

pith:WHD7BEPT

pith:2015:WHD7BEPT5OYSBKL7MYDL27V6PQ

not attested not anchored not stored refs pending

Bourlet's Theorem for the product of differential operators, an application of the operator method and a proof for $\sum_{n=1}^{\infty}\frac{1}{n^2}=\frac{\pi^2}{6}$, that Euler missed, derived from difference equations

Alexander Aycock

arxiv:1506.06241 v1 · 2015-06-20 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHD7BEPT5OYSBKL7MYDL27V6PQ}

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	2026-05-18T01:41:45.731495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1c7f091f3ebb120a97f6606bd7ebe7c038d867a2462c402bed738e06cae7b7c

Aliases

arxiv: 1506.06241 · arxiv_version: 1506.06241v1 · doi: 10.48550/arxiv.1506.06241 · pith_short_12: WHD7BEPT5OYS · pith_short_16: WHD7BEPT5OYSBKL7 · pith_short_8: WHD7BEPT

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/WHD7BEPT5OYSBKL7MYDL27V6PQ \
  | 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: b1c7f091f3ebb120a97f6606bd7ebe7c038d867a2462c402bed738e06cae7b7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b686c2a0451e706c7a0b9f0d906fb89cbe95a77a73d1362b8ae6b056289efa9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2015-06-20T14:00:13Z",
    "title_canon_sha256": "a4534708a98d89c38d248490a0497c4d0f5f9f753b6567f8814c551a7b364fb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06241",
    "kind": "arxiv",
    "version": 1
  }
}