Pith Number

pith:WY5JY4EB

pith:2013:WY5JY4EBU4YZHCKWIMABY4YRDK

not attested not anchored not stored refs pending

A note on some summations due to Ramanujan, their generalization and some allied series

A.K.Rathie, R.B.Paris

arxiv:1301.4359 v1 · 2013-01-18 · math.CV · 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{WY5JY4EBU4YZHCKWIMABY4YRDK}

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	2026-05-18T03:36:05.544846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b63a9c7081a73193895643001c73111aa95c019aaa49295890fd4dbb63a31739

Aliases

arxiv: 1301.4359 · arxiv_version: 1301.4359v1 · doi: 10.48550/arxiv.1301.4359 · pith_short_12: WY5JY4EBU4YZ · pith_short_16: WY5JY4EBU4YZHCKW · pith_short_8: WY5JY4EB

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/WY5JY4EBU4YZHCKWIMABY4YRDK \
  | 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: b63a9c7081a73193895643001c73111aa95c019aaa49295890fd4dbb63a31739

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9fe5a284ed662fbffe017df20911dc3f71efe69982c0b9dfe0cf0160c827d55",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-01-18T12:03:02Z",
    "title_canon_sha256": "5fcf2d0c5fec486a43573a996667fe44859f1fb542807d43ac33bc7b9cde94df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4359",
    "kind": "arxiv",
    "version": 1
  }
}