Pith Number

pith:4EG7JMXD

pith:2012:4EG7JMXDXJITKBL2DI2DXO5ZFM

not attested not anchored not stored refs pending

On a remarkable formula of Ramanujan

Debraj Chakrabarti, Gopala Krishna Srinivasan

arxiv:1206.5122 v1 · 2012-06-22 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4EG7JMXDXJITKBL2DI2DXO5ZFM}

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	2026-05-18T03:52:52.180543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e10df4b2e3ba5135057a1a343bbbb92b0ce37c29b754b061669c7715086019bf

Aliases

arxiv: 1206.5122 · arxiv_version: 1206.5122v1 · doi: 10.48550/arxiv.1206.5122 · pith_short_12: 4EG7JMXDXJIT · pith_short_16: 4EG7JMXDXJITKBL2 · pith_short_8: 4EG7JMXD

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/4EG7JMXDXJITKBL2DI2DXO5ZFM \
  | 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: e10df4b2e3ba5135057a1a343bbbb92b0ce37c29b754b061669c7715086019bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78bada5311b27c61dd4438a5eaaa5c502ce1b689c8f76d12f3cc3805fbbf56fc",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-06-22T12:00:20Z",
    "title_canon_sha256": "2598b94f0c67f80f70286c37667a5cbe400efd74beeb0552ae20049934b2c237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5122",
    "kind": "arxiv",
    "version": 1
  }
}