Pith Number

pith:5GOTWSE7

pith:2019:5GOTWSE7MJB2ENTRCURL3X2CYW

not attested not anchored not stored refs pending

A hypergeometric proof for a binomial identity related to $1/\pi$

Benjamin Hackl, Helmut Prodinger

arxiv:1907.08680 v1 · 2019-07-18 · 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{5GOTWSE7MJB2ENTRCURL3X2CYW}

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	2026-05-17T23:40:08.147406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e99d3b489f6243a236711522bddf42c58bcf2ac4e381f4bf00e7c6ace50acc16

Aliases

arxiv: 1907.08680 · arxiv_version: 1907.08680v1 · doi: 10.48550/arxiv.1907.08680 · pith_short_12: 5GOTWSE7MJB2 · pith_short_16: 5GOTWSE7MJB2ENTR · pith_short_8: 5GOTWSE7

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/5GOTWSE7MJB2ENTRCURL3X2CYW \
  | 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: e99d3b489f6243a236711522bddf42c58bcf2ac4e381f4bf00e7c6ace50acc16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16907d1881fee7b28dce5c119bbd17776088e104391978c4bc5645208e7fc420",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-18T08:40:59Z",
    "title_canon_sha256": "75d20d76a9834be31ec2c062745d882445b603e071f6fa1443af0c9de23a2361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08680",
    "kind": "arxiv",
    "version": 1
  }
}