Pith Number

pith:VLITREUW

pith:2013:VLITREUWEWIFJWYQV4CCTNXW3P

not attested not anchored not stored refs pending

Relativistic recoil effects for energy levels in a muonic atom within a Grotch-type approach: An application to the one-loop electronic vacuum polarization

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

arxiv:1311.5790 v3 · 2013-11-22 · 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{VLITREUWEWIFJWYQV4CCTNXW3P}

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	2026-05-18T02:38:53.087977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aad1389296259054db10af0429b6f6dbc6f2962ece99772e0f10d585e19720d3

Aliases

arxiv: 1311.5790 · arxiv_version: 1311.5790v3 · doi: 10.48550/arxiv.1311.5790 · pith_short_12: VLITREUWEWIF · pith_short_16: VLITREUWEWIFJWYQ · pith_short_8: VLITREUW

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/VLITREUWEWIFJWYQV4CCTNXW3P \
  | 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: aad1389296259054db10af0429b6f6dbc6f2962ece99772e0f10d585e19720d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a69142669159044f11bc84796e386f22cf9f38a2ed0c70dff418ef6c3a6de45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2013-11-22T15:59:52Z",
    "title_canon_sha256": "74e4d8249cc7090a1d4ee3e326671fdd8a39ae59cf07e9fb0ded729bccb3c761"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5790",
    "kind": "arxiv",
    "version": 3
  }
}