Pith Number

pith:QHXPIJX5

pith:2010:QHXPIJX5FYNDAA5QQP624PFKH4

not attested not anchored not stored refs pending

Ramanujan-like series for $1/\pi^2$ and String Theory

Gert Almkvist, Jes\'us Guillera

arxiv:1009.5202 v3 · 2010-09-27 · 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{QHXPIJX5FYNDAA5QQP624PFKH4}

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	2026-05-18T03:59:38.444340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81eef426fd2e1a3003b083fdae3caa3f2c62cb9c343cc26f40e3026cec87cb03

Aliases

arxiv: 1009.5202 · arxiv_version: 1009.5202v3 · doi: 10.48550/arxiv.1009.5202 · pith_short_12: QHXPIJX5FYND · pith_short_16: QHXPIJX5FYNDAA5Q · pith_short_8: QHXPIJX5

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/QHXPIJX5FYNDAA5QQP624PFKH4 \
  | 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: 81eef426fd2e1a3003b083fdae3caa3f2c62cb9c343cc26f40e3026cec87cb03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db2af6fa1a51e0a09423ae215602ce2fd1c04b7433b520bc0c596509b74d8fb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-27T09:48:49Z",
    "title_canon_sha256": "029b4da0ebbe6b321d0881a75e4ac4bd4273d2dc85020686245a3f597abfacce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5202",
    "kind": "arxiv",
    "version": 3
  }
}