Pith Number

pith:T62JKM55

pith:2012:T62JKM55N4OCE3DLC7AR5XVAZV

not attested not anchored not stored refs pending

The Koide Lepton Mass Formula and Geometry of Circles

Jerzy Kocik

arxiv:1201.2067 v1 · 2012-01-05 · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T62JKM55N4OCE3DLC7AR5XVAZV}

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	2026-05-18T02:21:18.606075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fb49533bd6f1c226c6b17c11edea0cd66ba91802631244d82bab68ff59549c4

Aliases

arxiv: 1201.2067 · arxiv_version: 1201.2067v1 · doi: 10.48550/arxiv.1201.2067 · pith_short_12: T62JKM55N4OC · pith_short_16: T62JKM55N4OCE3DL · pith_short_8: T62JKM55

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/T62JKM55N4OCE3DLC7AR5XVAZV \
  | 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: 9fb49533bd6f1c226c6b17c11edea0cd66ba91802631244d82bab68ff59549c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87dced70397a4a238bb5334c5da048918ae49a9a1de9bf6a8df3faec338738b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2012-01-05T10:57:02Z",
    "title_canon_sha256": "0195cb50bb0e74ad9cdd4546c29db262e78974001a4035a73dc97c52eec03829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2067",
    "kind": "arxiv",
    "version": 1
  }
}