Pith Number

pith:XT6KYEF6

pith:2013:XT6KYEF6HNP432MZGIXGODTDNZ

not attested not anchored not stored refs pending

Ramanujan-type formulae for $1/\pi$: the art of translation

Jes\'us Guillera, Wadim Zudilin

arxiv:1302.0548 v2 · 2013-02-03 · math.NT · 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{XT6KYEF6HNP432MZGIXGODTDNZ}

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	2026-05-18T03:05:54.808667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcfcac10be3b5fcde999322e670e636e6870c62c6fb33626faee9a69d66ca951

Aliases

arxiv: 1302.0548 · arxiv_version: 1302.0548v2 · doi: 10.48550/arxiv.1302.0548 · pith_short_12: XT6KYEF6HNP4 · pith_short_16: XT6KYEF6HNP432MZ · pith_short_8: XT6KYEF6

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/XT6KYEF6HNP432MZGIXGODTDNZ \
  | 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: bcfcac10be3b5fcde999322e670e636e6870c62c6fb33626faee9a69d66ca951

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd7147eb15d2bc8146257d69cef3833ddafa39789ea6174af43a286144bb635a",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-03T23:36:51Z",
    "title_canon_sha256": "c3d484b239175207cb4aa16ccec7242b5014370afc81df8d54e1714ef502d7a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0548",
    "kind": "arxiv",
    "version": 2
  }
}