Pith Number

pith:AYEXHWTU

pith:2003:AYEXHWTUKK6JYGSNCIV4KQA3B6

not attested not anchored not stored refs pending

A thermal theory for charged leptons

Ralf Hofmann

arxiv:hep-ph/0312048 v3 · 2003-12-03 · hep-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{AYEXHWTUKK6JYGSNCIV4KQA3B6}

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	2026-07-04T14:28:53.885801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

060973da7452bc9c1a4d122bc5401b0f98b3bd0f08754674f16a47ec1a7afe57

Aliases

arxiv: hep-ph/0312048 · arxiv_version: hep-ph/0312048v3 · doi: 10.48550/arxiv.hep-ph/0312048 · pith_short_12: AYEXHWTUKK6J · pith_short_16: AYEXHWTUKK6JYGSN · pith_short_8: AYEXHWTU

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/AYEXHWTUKK6JYGSNCIV4KQA3B6 \
  | 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: 060973da7452bc9c1a4d122bc5401b0f98b3bd0f08754674f16a47ec1a7afe57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99cdd7cfd593b25d19ed1a94f8e2d0ebdf8ebde2810825ae4225337e4c8a7433",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-12-03T11:31:56Z",
    "title_canon_sha256": "f95f21c76142dc84ceea595b393029c218e9f0a7d70d0751ac1b095152548a6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0312048",
    "kind": "arxiv",
    "version": 3
  }
}