Pith Number

pith:3HDVXAC4

pith:2012:3HDVXAC42XC3USZH53ZQ7CCJAB

not attested not anchored not stored refs pending

Another proof of $\displaystyle\boldsymbol{\zeta(2)=\frac{\pi^2}{6}}$ using double integrals

Daniele Ritelli

arxiv:1208.5981 v1 · 2012-08-29 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HDVXAC42XC3USZH53ZQ7CCJAB}

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	2026-05-18T03:46:48.186449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9c75b805cd5c5ba4b27eef30f884900594da4b5cf7a5324ca55de1cfc1935be

Aliases

arxiv: 1208.5981 · arxiv_version: 1208.5981v1 · doi: 10.48550/arxiv.1208.5981 · pith_short_12: 3HDVXAC42XC3 · pith_short_16: 3HDVXAC42XC3USZH · pith_short_8: 3HDVXAC4

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/3HDVXAC42XC3USZH53ZQ7CCJAB \
  | 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: d9c75b805cd5c5ba4b27eef30f884900594da4b5cf7a5324ca55de1cfc1935be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b1f0e078c4345e751aa5797c5d5d07a7100a09fdb54ead7671236b78651e1b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-08-29T18:26:04Z",
    "title_canon_sha256": "95ae60f65b5dfad1713381693f4dc9c87bff20768730af5c5fdd27bf997ca225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5981",
    "kind": "arxiv",
    "version": 1
  }
}