Pith Number

pith:AVG6CEXZ

pith:2015:AVG6CEXZRO3C37XF76DHRNE6SD

not attested not anchored not stored refs pending

Holonomic alchemy and series for $1/\pi$

James G. Wan, Shaun Cooper, Wadim Zudilin

arxiv:1512.04608 v2 · 2015-12-14 · math.NT · 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{AVG6CEXZRO3C37XF76DHRNE6SD}

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	2026-05-18T00:23:25.878024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

054de112f98bb62dfee5ff8678b49e90d85648d2f6aae5e7c2fee0f35c60ee3c

Aliases

arxiv: 1512.04608 · arxiv_version: 1512.04608v2 · doi: 10.48550/arxiv.1512.04608 · pith_short_12: AVG6CEXZRO3C · pith_short_16: AVG6CEXZRO3C37XF · pith_short_8: AVG6CEXZ

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/AVG6CEXZRO3C37XF76DHRNE6SD \
  | 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: 054de112f98bb62dfee5ff8678b49e90d85648d2f6aae5e7c2fee0f35c60ee3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aac25dfbeb5bd01a2a56130d9b59777a403033000a38320de4d02a836e4885e4",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-14T23:55:15Z",
    "title_canon_sha256": "8297a6c5e84f0d5fc92e1540042afab0668b0ffe60fc9ffdfdab1fbce004d7b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04608",
    "kind": "arxiv",
    "version": 2
  }
}