Pith Number

pith:BW5UJ4DL

pith:2018:BW5UJ4DL5XJY7PYPKE7LXIAM7V

not attested not anchored not stored refs pending

Many proofs that $\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6}$ can be found in the conformal invariance of planar Brownian motion

Greg Markowsky

arxiv:1812.06643 v2 · 2018-12-17 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BW5UJ4DL5XJY7PYPKE7LXIAM7V}

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	2026-05-17T23:41:24.740832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dbb44f06bedd38fbf0f513ebba00cfd4b81b01b63ba78824eea59b72ab6da79

Aliases

arxiv: 1812.06643 · arxiv_version: 1812.06643v2 · doi: 10.48550/arxiv.1812.06643 · pith_short_12: BW5UJ4DL5XJY · pith_short_16: BW5UJ4DL5XJY7PYP · pith_short_8: BW5UJ4DL

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/BW5UJ4DL5XJY7PYPKE7LXIAM7V \
  | 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: 0dbb44f06bedd38fbf0f513ebba00cfd4b81b01b63ba78824eea59b72ab6da79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f93e9a8cf20e4bd4386d643388a8252e12bb4bd66bbd94fa3ce5f4c5c7bdd2a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-17T08:16:36Z",
    "title_canon_sha256": "8cb0725cd9e0afdff38c9e69606f516d96277882a712a4fb2b531511c4b37398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06643",
    "kind": "arxiv",
    "version": 2
  }
}