pith. sign in
Pith Number

pith:VQ3ZVV65

pith:2012:VQ3ZVV65BVHTFFJWB7DYI5WUKR
not attested not anchored not stored refs pending

Theory of the 2S-2P Lamb shift and 2S hyperfine splitting in muonic hydrogen

Aldo Antognini, Fran\c{c}ois Biraben, Fran\c{c}ois Nez, Franz Kottmann, Paul Indelicato, Randolf Pohl

arxiv:1208.2637 v2 · 2012-08-13 · physics.atom-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VQ3ZVV65BVHTFFJWB7DYI5WUKR}

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 2026-05-18T01:55:16.363349Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ac379ad7dd0d4f3295360fc78476d45470417c6945c307e78c7c125e7ded0cf9

Aliases

arxiv: 1208.2637 · arxiv_version: 1208.2637v2 · doi: 10.48550/arxiv.1208.2637 · pith_short_12: VQ3ZVV65BVHT · pith_short_16: VQ3ZVV65BVHTFFJW · pith_short_8: VQ3ZVV65
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VQ3ZVV65BVHTFFJWB7DYI5WUKR \
  | 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: ac379ad7dd0d4f3295360fc78476d45470417c6945c307e78c7c125e7ded0cf9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0941e5dc8a7edc11b475a6b9ab8b88ff00761a4e2b467d012c22775b61741449",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2012-08-13T16:52:39Z",
    "title_canon_sha256": "496110e7fd97878ff8ea28cb25be607a95d8b082acdcdeb0071a7fe687130750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2637",
    "kind": "arxiv",
    "version": 2
  }
}