Pith Number

pith:ZIGKQE5W

pith:2010:ZIGKQE5WVSXDISUMDVWJZBOFAT

not attested not anchored not stored refs pending

Two-loop corrections to the Lamb shift

Andrzej Czarnecki, Jan H. Piclum, Jorge Mondejar, Matthew Dowling

arxiv:1001.2294 v1 · 2010-01-13 · 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{ZIGKQE5WVSXDISUMDVWJZBOFAT}

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	2026-05-18T03:50:22.173758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca0ca813b6acae344a8c1d6c9c85c504ef0ad47163340e9becfc85d7674328e7

Aliases

arxiv: 1001.2294 · arxiv_version: 1001.2294v1 · doi: 10.48550/arxiv.1001.2294 · pith_short_12: ZIGKQE5WVSXD · pith_short_16: ZIGKQE5WVSXDISUM · pith_short_8: ZIGKQE5W

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/ZIGKQE5WVSXDISUMDVWJZBOFAT \
  | 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: ca0ca813b6acae344a8c1d6c9c85c504ef0ad47163340e9becfc85d7674328e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58df9361b4909f45c586ffe2566464def759609547ce0361fcce74b28fb2a3ce",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-01-13T20:25:56Z",
    "title_canon_sha256": "0e33d4db4f42014c7539b08c0237fadd94f2a93ff4929d82036803c4ba22b08e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2294",
    "kind": "arxiv",
    "version": 1
  }
}