Pith Number

pith:PZHE3L5J

pith:2019:PZHE3L5JPL2FNHSQDQJCPQ2TPI

not attested not anchored not stored refs pending

The Lamb shift of the $1s$ state in hydrogen: two-loop and three-loop contributions

Akira Ozawa, Robert Szafron, Savely G. Karshenboim, Valery A. Shelyuto, Vladimir G. Ivanov

arxiv:1906.11105 v1 · 2019-06-26 · physics.atom-ph · 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{PZHE3L5JPL2FNHSQDQJCPQ2TPI}

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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	2026-05-17T23:41:52.700306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e4e4dafa97af4569e501c1227c3537a274df9320e364756ac207c67450a8824

Aliases

arxiv: 1906.11105 · arxiv_version: 1906.11105v1 · doi: 10.48550/arxiv.1906.11105 · pith_short_12: PZHE3L5JPL2F · pith_short_16: PZHE3L5JPL2FNHSQ · pith_short_8: PZHE3L5J

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/PZHE3L5JPL2FNHSQDQJCPQ2TPI \
  | 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: 7e4e4dafa97af4569e501c1227c3537a274df9320e364756ac207c67450a8824

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23c4e167ec21462b10dfad7ed2b9e0d87cffede2b37ecd9b398ae032b2b54a55",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2019-06-26T13:54:08Z",
    "title_canon_sha256": "c232c9ce00a6d1e7c29b8b6b6c5e3dbf10c480aedb5442e29a070d1f40f57866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11105",
    "kind": "arxiv",
    "version": 1
  }
}