Pith Number

pith:75PJGXPS

pith:2013:75PJGXPSTJSHV5XWERQPLPK3OQ

not attested not anchored not stored refs pending

Relativistic recoil effects to energy levels in a muonic atom: a Grotch-type calculation of the second-order vacuum-polarization contributions

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

arxiv:1311.5822 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{75PJGXPSTJSHV5XWERQPLPK3OQ}

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	2026-05-18T02:38:53.083098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff5e935df29a647af6f62460f5bd5b7430d6b6d28ffc1ffc7e5ac18b735fd6c8

Aliases

arxiv: 1311.5822 · arxiv_version: 1311.5822v3 · doi: 10.48550/arxiv.1311.5822 · pith_short_12: 75PJGXPSTJSH · pith_short_16: 75PJGXPSTJSHV5XW · pith_short_8: 75PJGXPS

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/75PJGXPSTJSHV5XWERQPLPK3OQ \
  | 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: ff5e935df29a647af6f62460f5bd5b7430d6b6d28ffc1ffc7e5ac18b735fd6c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "713d5390216795d79f64e0dfa1d01d59b27a72106b35b429ff49b9e3f0c2e4f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2013-11-22T17:15:33Z",
    "title_canon_sha256": "663005095d29d850f89aafec647d8397e02f02d96ad803e298b092e2953e44a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5822",
    "kind": "arxiv",
    "version": 3
  }
}