Pith Number

pith:DCQGERYE

pith:2001:DCQGERYEKXEPOHOLFQB6JWVI5W

not attested not anchored not stored refs pending

Muonium hyperfine structure and hadronic effects

Andrzej Czarnecki, Savely G. Karshenboim, Simon I. Eidelman

arxiv:hep-ph/0107327 v1 · 2001-07-31 · 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{DCQGERYEKXEPOHOLFQB6JWVI5W}

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.

Cited by

1 paper in Pith

Hadronic vacuum polarization in hydrogen-like atoms and ions amid the interplay of recoil and finite-size effects

Receipt and verification

First computed	2026-07-04T16:27:26.387800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18a062470455c8f71dcb2c03e4daa8ed847a3697e26aaa1bcadb8340e2452817

Aliases

arxiv: hep-ph/0107327 · arxiv_version: hep-ph/0107327v1 · doi: 10.48550/arxiv.hep-ph/0107327 · pith_short_12: DCQGERYEKXEP · pith_short_16: DCQGERYEKXEPOHOL · pith_short_8: DCQGERYE

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/DCQGERYEKXEPOHOLFQB6JWVI5W \
  | 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: 18a062470455c8f71dcb2c03e4daa8ed847a3697e26aaa1bcadb8340e2452817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c51745645f1ab259f404beacba49528fec78de51fd9baa0b835ca92e3969eeb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-07-31T19:18:00Z",
    "title_canon_sha256": "a02a9c2f2b0c445a2c3656914b3cbb962a2afe47fb8dea42bbcad1a25297366a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0107327",
    "kind": "arxiv",
    "version": 1
  }
}