Pith Number

pith:OO3J7HZG

pith:2019:OO3J7HZGMNE3H4AMUZS6JNQEV2

not attested not anchored not stored refs pending

On Entry II.16.12: A continued fraction of Ramanujan

Gaurav Bhatnagar, Mourad E. H. Ismail

arxiv:1908.03333 v1 · 2019-08-09 · 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{OO3J7HZGMNE3H4AMUZS6JNQEV2}

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	2026-07-04T23:52:39.010623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73b69f9f266349b3f00ca665e4b604ae8cab5cbc75a819140c97f35f5896685e

Aliases

arxiv: 1908.03333 · arxiv_version: 1908.03333v1 · doi: 10.48550/arxiv.1908.03333 · pith_short_12: OO3J7HZGMNE3 · pith_short_16: OO3J7HZGMNE3H4AM · pith_short_8: OO3J7HZG

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/OO3J7HZGMNE3H4AMUZS6JNQEV2 \
  | 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: 73b69f9f266349b3f00ca665e4b604ae8cab5cbc75a819140c97f35f5896685e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9dab15b0c883a8521e5699ae48826eb29f421fc0c40e3f3a0c3360b701de291",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-09T06:49:43Z",
    "title_canon_sha256": "f6b225fa621478eb8085f46bebe0fc914dc281009933024cf24674fffad40381"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03333",
    "kind": "arxiv",
    "version": 1
  }
}