Pith Number

pith:3GRGXZP5

pith:2010:3GRGXZP5F2V3KYOAKRPYJ7Z7YQ

not attested not anchored not stored refs pending

Radiative-nonrecoil corrections of order alpha^2 (Z alpha) E_F to the hyperfine splitting of muonium

Andrzej Czarnecki, Jan H. Piclum, Jorge Mondejar

arxiv:1005.1944 v2 · 2010-05-11 · 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{3GRGXZP5F2V3KYOAKRPYJ7Z7YQ}

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	2026-05-18T02:24:08.223956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9a26be5fd2eabb561c0545f84ff3fc424ef1d2547cd338a1af7afe5bcd4440c

Aliases

arxiv: 1005.1944 · arxiv_version: 1005.1944v2 · doi: 10.48550/arxiv.1005.1944 · pith_short_12: 3GRGXZP5F2V3 · pith_short_16: 3GRGXZP5F2V3KYOA · pith_short_8: 3GRGXZP5

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/3GRGXZP5F2V3KYOAKRPYJ7Z7YQ \
  | 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: d9a26be5fd2eabb561c0545f84ff3fc424ef1d2547cd338a1af7afe5bcd4440c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cde2d92ccbc1ffbc3badc60470fbdbaf2ca1bae2afeb94a9119b142b4ac03ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-05-11T20:37:53Z",
    "title_canon_sha256": "95b49e8717fb545dd1ed5963ca420b8c34f9ed1f9579877f18d97e64cfeebb85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1944",
    "kind": "arxiv",
    "version": 2
  }
}