Pith Number

pith:NO5ZXWY4

pith:2012:NO5ZXWY47GPTROWONBC5Q6DFXW

not attested not anchored not stored refs pending

\pi and other formulae implied by hypergeometric summation theorems

Arjun K. Rathie, Xiaoxia Wang, Yong Sup Kim

arxiv:1205.6706 v1 · 2012-05-30 · 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{NO5ZXWY47GPTROWONBC5Q6DFXW}

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	2026-05-18T03:54:38.096028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bbb9bdb1cf99f38bace6845d87865bd9f864b327d5ebb77cd6a0999ad9d2fc3

Aliases

arxiv: 1205.6706 · arxiv_version: 1205.6706v1 · doi: 10.48550/arxiv.1205.6706 · pith_short_12: NO5ZXWY47GPT · pith_short_16: NO5ZXWY47GPTROWO · pith_short_8: NO5ZXWY4

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/NO5ZXWY47GPTROWONBC5Q6DFXW \
  | 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: 6bbb9bdb1cf99f38bace6845d87865bd9f864b327d5ebb77cd6a0999ad9d2fc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79e2c9b201cec48041ff20a8c7be94d73636bb94be852b56e9750f97d957380d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-30T14:47:16Z",
    "title_canon_sha256": "091badfa1a3d94c5d14cfbdba7420c1c2db85e5a6341f2e61b58bcba5a964daf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6706",
    "kind": "arxiv",
    "version": 1
  }
}