Pith Number

pith:ZVQRP4MB

pith:2011:ZVQRP4MB3KOQPLD5O4CARQ22HQ

not attested not anchored not stored refs pending

Proof of some conjectured formulas for 1/pi by Z.-W. Sun

Alexander Aycock, appendix by Arne Meurman, Gert Almkvist

arxiv:1112.3259 v2 · 2011-12-14 · 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{ZVQRP4MB3KOQPLD5O4CARQ22HQ}

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.

Cited by

1 paper in Pith

Series for $1/\pi$ arising from Cauchy product

Receipt and verification

First computed	2026-05-18T04:05:57.202032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd6117f181da9d07ac7d770408c35a3c041bf8c85592bfbae53ed2b4759a82da

Aliases

arxiv: 1112.3259 · arxiv_version: 1112.3259v2 · doi: 10.48550/arxiv.1112.3259 · pith_short_12: ZVQRP4MB3KOQ · pith_short_16: ZVQRP4MB3KOQPLD5 · pith_short_8: ZVQRP4MB

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/ZVQRP4MB3KOQPLD5O4CARQ22HQ \
  | 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: cd6117f181da9d07ac7d770408c35a3c041bf8c85592bfbae53ed2b4759a82da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6267a48cf329512cb1c35e4fd8b04833abd8b332d839433edc0b13fa2123665",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-14T15:59:19Z",
    "title_canon_sha256": "a8e5f194b7974ae44498721b5c51e0dcbcd6bfd0af2159e5c0a37f1e1cbf44fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3259",
    "kind": "arxiv",
    "version": 2
  }
}