Pith Number

pith:VFKQGVDP

pith:2019:VFKQGVDPJOPY5FOG37EUZB4UCR

not attested not anchored not stored refs pending

On a pair of identities from Ramanujan's lost notebook

Andrew V. Sills, James Mc Laughlin

arxiv:1901.05326 v1 · 2019-01-06 · 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{VFKQGVDPJOPY5FOG37EUZB4UCR}

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	2026-05-17T23:56:11.147275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a95503546f4b9f8e95c6dfc94c87941458db392c3f473530aef88a9eef5a8d1f

Aliases

arxiv: 1901.05326 · arxiv_version: 1901.05326v1 · doi: 10.48550/arxiv.1901.05326 · pith_short_12: VFKQGVDPJOPY · pith_short_16: VFKQGVDPJOPY5FOG · pith_short_8: VFKQGVDP

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/VFKQGVDPJOPY5FOG37EUZB4UCR \
  | 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: a95503546f4b9f8e95c6dfc94c87941458db392c3f473530aef88a9eef5a8d1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09b64a038bd88c1e74a1fbc1b476d6c48691b5a56da0d475c7967be986381308",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-01-06T16:20:40Z",
    "title_canon_sha256": "2381d5a3332702449200e9214aa1bb712ca7b8083d071a023d801f9ef6caa766"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05326",
    "kind": "arxiv",
    "version": 1
  }
}