Pith Number

pith:IB2JH5FJ

pith:2012:IB2JH5FJO3BZAJIRJK5BBB2U5I

not attested not anchored not stored refs pending

A Golden Product Identity for $e$

Robert P. Schneider

arxiv:1211.2025 v7 · 2012-11-09 · math.NT · math.HO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IB2JH5FJO3BZAJIRJK5BBB2U5I}

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	2026-05-18T02:53:54.055463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

407493f4a976c39025114aba108754ea10b2c21e904afce752c7c818bd1bc5f3

Aliases

arxiv: 1211.2025 · arxiv_version: 1211.2025v7 · doi: 10.48550/arxiv.1211.2025 · pith_short_12: IB2JH5FJO3BZ · pith_short_16: IB2JH5FJO3BZAJIR · pith_short_8: IB2JH5FJ

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/IB2JH5FJO3BZAJIRJK5BBB2U5I \
  | 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: 407493f4a976c39025114aba108754ea10b2c21e904afce752c7c818bd1bc5f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cf50cb3a9f23b7a029997fcbd09a583d5c49f3ca60890d760a9794dfc5225ca",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-09T02:06:21Z",
    "title_canon_sha256": "4c75fd65cbcecac4a23e4caaf4ee1abb21c4135b22e7e5a8c82dfa998d6aac2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2025",
    "kind": "arxiv",
    "version": 7
  }
}