Pith Number

pith:XJ5OPVUB

pith:2013:XJ5OPVUBBN7DUAXBSCJGWWHC26

not attested not anchored not stored refs pending

Extension of a summation due to Ramanujan

Arjun K. Rathie

arxiv:1306.5592 v1 · 2013-06-24 · 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{XJ5OPVUBBN7DUAXBSCJGWWHC26}

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	2026-05-18T03:20:07.479517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba7ae7d6810b7e3a02e190926b58e2d78532c7c7e66778f7c79134f4ab8b5971

Aliases

arxiv: 1306.5592 · arxiv_version: 1306.5592v1 · doi: 10.48550/arxiv.1306.5592 · pith_short_12: XJ5OPVUBBN7D · pith_short_16: XJ5OPVUBBN7DUAXB · pith_short_8: XJ5OPVUB

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/XJ5OPVUBBN7DUAXBSCJGWWHC26 \
  | 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: ba7ae7d6810b7e3a02e190926b58e2d78532c7c7e66778f7c79134f4ab8b5971

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a54355cc2063a5abca253b50407f257ce159e253f8ff1721fece90f2f15c49a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-24T12:26:27Z",
    "title_canon_sha256": "5de01a2c359702e6ecdddd448e7b7d81cef8cfc478a81e56beacaa53391967c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5592",
    "kind": "arxiv",
    "version": 1
  }
}