Pith Number

pith:3KSSMKW5

pith:2012:3KSSMKW5MTS2RORM2CBA2YYQNT

not attested not anchored not stored refs pending

On a strange evaluation of the hypergeometric series by Gosper

Akihito Ebisu

arxiv:1204.3399 v2 · 2012-04-16 · 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{3KSSMKW5MTS2RORM2CBA2YYQNT}

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	2026-05-18T03:31:17.759816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daa5262add64e5a8ba2cd0820d63106cc4ff0a8e0ae6c541de1d86ec38fd1ad7

Aliases

arxiv: 1204.3399 · arxiv_version: 1204.3399v2 · doi: 10.48550/arxiv.1204.3399 · pith_short_12: 3KSSMKW5MTS2 · pith_short_16: 3KSSMKW5MTS2RORM · pith_short_8: 3KSSMKW5

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/3KSSMKW5MTS2RORM2CBA2YYQNT \
  | 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: daa5262add64e5a8ba2cd0820d63106cc4ff0a8e0ae6c541de1d86ec38fd1ad7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aa57fe315bb6608082c88ea338bfaa503b1ee691bcb2ed05c1c106602cb5621",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-04-16T08:31:24Z",
    "title_canon_sha256": "2c01d3ef279e2e6bcd467e02dd152ee1f79912946808a9741e5c28a53b8c7747"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3399",
    "kind": "arxiv",
    "version": 2
  }
}