Pith Number

pith:VBIQYYNN

pith:2006:VBIQYYNNXB6UJGGHZMP35EKDHS

not attested not anchored not stored refs pending

Vacuum polarization in muonic atoms: the Lamb shift at low and medium Z

Evgeny Yu. Korzinin, Savely G. Karshenboim, Vladimir G. Ivanov

arxiv:physics/0604133 v1 · 2006-04-18 · physics.atom-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{VBIQYYNNXB6UJGGHZMP35EKDHS}

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	2026-07-04T17:02:35.988251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8510c61adb87d4498c7cb1fbe91433c86c331caee0dbe69477968fa3fd4fb50

Aliases

arxiv: physics/0604133 · arxiv_version: physics/0604133v1 · doi: 10.48550/arxiv.physics/0604133 · pith_short_12: VBIQYYNNXB6U · pith_short_16: VBIQYYNNXB6UJGGH · pith_short_8: VBIQYYNN

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/VBIQYYNNXB6UJGGHZMP35EKDHS \
  | 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: a8510c61adb87d4498c7cb1fbe91433c86c331caee0dbe69477968fa3fd4fb50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57915ac6f08afd112d8110142a5934948fce6ceca0a5779f34849f5c98272f71",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2006-04-18T09:00:40Z",
    "title_canon_sha256": "e576c9abaf981d58e86c6f82fa7590e5485b3826ab948f28788f6b880795e2ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0604133",
    "kind": "arxiv",
    "version": 1
  }
}