Pith Number

pith:J3VZ6IGK

pith:2021:J3VZ6IGKOAZDO6ETZ6GH3WGP5V

not attested not anchored not stored refs pending

Three-Loop Corrections to Lamb Shift in Muonium and Positronium

Michael I. Eides, Valery A. Shelyuto

arxiv:2110.13279 v2 · 2021-10-25 · hep-ph · 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{J3VZ6IGKOAZDO6ETZ6GH3WGP5V}

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	2026-07-05T03:49:22.786573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eeb9f20ca7032377893cf8c7dd8cfed460c49d16eaa63d0b9634c8e2173ca79

Aliases

arxiv: 2110.13279 · arxiv_version: 2110.13279v2 · doi: 10.48550/arxiv.2110.13279 · pith_short_12: J3VZ6IGKOAZD · pith_short_16: J3VZ6IGKOAZDO6ET · pith_short_8: J3VZ6IGK

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/J3VZ6IGKOAZDO6ETZ6GH3WGP5V \
  | 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: 4eeb9f20ca7032377893cf8c7dd8cfed460c49d16eaa63d0b9634c8e2173ca79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47089262791737fb682d3ee081e9290997c5d611c8da50c47776ccfac9e65945",
    "cross_cats_sorted": [
      "physics.atom-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-10-25T21:39:40Z",
    "title_canon_sha256": "91b61aff9899c6095d84de23403918e2c0bc150eabef2c46396a4e0ba4fcf0a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.13279",
    "kind": "arxiv",
    "version": 2
  }
}