Pith Number

pith:NEIFWBIO

pith:2015:NEIFWBIO67XZMOVYH7K37Z3KGC

not attested not anchored not stored refs pending

A family of Ramanujan-Orr formulas for $1/\pi$

Jes\'us Guillera

arxiv:1501.06413 v4 · 2015-01-26 · 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{NEIFWBIO67XZMOVYH7K37Z3KGC}

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	2026-05-18T00:27:22.667549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69105b050ef7ef963ab83fd5bfe76a30ae2b78daf8264f4ff980abd492d93965

Aliases

arxiv: 1501.06413 · arxiv_version: 1501.06413v4 · doi: 10.48550/arxiv.1501.06413 · pith_short_12: NEIFWBIO67XZ · pith_short_16: NEIFWBIO67XZMOVY · pith_short_8: NEIFWBIO

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/NEIFWBIO67XZMOVYH7K37Z3KGC \
  | 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: 69105b050ef7ef963ab83fd5bfe76a30ae2b78daf8264f4ff980abd492d93965

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eb760a55ff7c50a7f439bb21329e911c48529dfbc2c1750b6fbf2bf29bb7f77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-26T14:32:42Z",
    "title_canon_sha256": "adb55c56c919b0392b83324fb3cf6e03530c39cb9056fa0e312ffc54013dbd7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06413",
    "kind": "arxiv",
    "version": 4
  }
}