Pith Number

pith:54DJDHTH

pith:2018:54DJDHTHKWAR5UWTWYSCSXCL65

not attested not anchored not stored refs pending

Proof of a rational Ramanujan-type series for $1/\pi$. The fastest one in level 3

Jes\'us Guillera

arxiv:1811.01200 v1 · 2018-11-03 · 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{54DJDHTHKWAR5UWTWYSCSXCL65}

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	2026-05-18T00:01:35.050895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef06919e6755811ed2d3b624295c4bf77b9532a76bf22cd07207c23499d89ba2

Aliases

arxiv: 1811.01200 · arxiv_version: 1811.01200v1 · doi: 10.48550/arxiv.1811.01200 · pith_short_12: 54DJDHTHKWAR · pith_short_16: 54DJDHTHKWAR5UWT · pith_short_8: 54DJDHTH

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/54DJDHTHKWAR5UWTWYSCSXCL65 \
  | 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: ef06919e6755811ed2d3b624295c4bf77b9532a76bf22cd07207c23499d89ba2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a92cdf272e6c3d7d8c3927f11938e0b85e5ae547cd67e2e36da56e03f6d907c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-11-03T12:46:53Z",
    "title_canon_sha256": "2a6640ab218d1692cb218d3ceb2d54bc75aef87bcfe9200bc11a48cedb0a51da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01200",
    "kind": "arxiv",
    "version": 1
  }
}