Pith Number

pith:HZIG5NHU

pith:2016:HZIG5NHUBYUPNKTUBCF5IHI55H

not attested not anchored not stored refs pending

On Chudnovsky-Ramanujan Type Formulae

Gleb Glebov, Imin Chen

arxiv:1609.05778 v2 · 2016-09-08 · 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{HZIG5NHUBYUPNKTUBCF5IHI55H}

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	2026-05-18T00:41:08.899832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e506eb4f40e28f6aa74088bd41d1de9deba6999250d75dcbc25150f776f70ba

Aliases

arxiv: 1609.05778 · arxiv_version: 1609.05778v2 · doi: 10.48550/arxiv.1609.05778 · pith_short_12: HZIG5NHUBYUP · pith_short_16: HZIG5NHUBYUPNKTU · pith_short_8: HZIG5NHU

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/HZIG5NHUBYUPNKTUBCF5IHI55H \
  | 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: 3e506eb4f40e28f6aa74088bd41d1de9deba6999250d75dcbc25150f776f70ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "261f3b36fc688ea8353e10ce9b41432891afa57e7ea8840afa9be6c47ea8559a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-08T21:11:59Z",
    "title_canon_sha256": "0baf931174ea61f5f65bac227856092884852965f1dccf6dae159f515ebaa442"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05778",
    "kind": "arxiv",
    "version": 2
  }
}