Pith Number

pith:HTE65B4L

pith:2012:HTE65B4LZBHV5VYXNY3SIKP2LJ

not attested not anchored not stored refs pending

The Rational Number n/p as a sum of two unit fractions

Konstantine Zelator

arxiv:1203.0018 v1 · 2012-02-29 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HTE65B4LZBHV5VYXNY3SIKP2LJ}

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	2026-05-18T04:01:03.417850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cc9ee878bc84f5ed7176e372429fa5a6c972a1f3ab05de9ba772c3d80a1313d

Aliases

arxiv: 1203.0018 · arxiv_version: 1203.0018v1 · doi: 10.48550/arxiv.1203.0018 · pith_short_12: HTE65B4LZBHV · pith_short_16: HTE65B4LZBHV5VYX · pith_short_8: HTE65B4L

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/HTE65B4LZBHV5VYXNY3SIKP2LJ \
  | 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: 3cc9ee878bc84f5ed7176e372429fa5a6c972a1f3ab05de9ba772c3d80a1313d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47850345b19b9018159b11282d464f2110feff72da9a5489b0edb7e4c3ffddad",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2012-02-29T21:11:08Z",
    "title_canon_sha256": "14b086b5773c86e2d3b5aa9097b3c93c64491f3779b42f4053943f1cf6d60d83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0018",
    "kind": "arxiv",
    "version": 1
  }
}