Pith Number

pith:MOVMO3CE

pith:2006:MOVMO3CETBSOCAE3K62U5WRLS6

not attested not anchored not stored refs pending

Two-Loop Bethe Logarithms for non-S Levels

U. D. Jentschura

arxiv:physics/0612251 v1 · 2006-12-29 · 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{MOVMO3CETBSOCAE3K62U5WRLS6}

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.

Cited by

1 paper in Pith

Testing Antimatter Couplings with Spectroscopy

Receipt and verification

First computed	2026-05-18T03:13:46.725693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63aac76c449864e1009b57b54eda2b97966d2be9eca44214bfcadafdc76d0a64

Aliases

arxiv: physics/0612251 · arxiv_version: physics/0612251v1 · doi: 10.48550/arxiv.physics/0612251 · pith_short_12: MOVMO3CETBSO · pith_short_16: MOVMO3CETBSOCAE3 · pith_short_8: MOVMO3CE

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/MOVMO3CETBSOCAE3K62U5WRLS6 \
  | 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: 63aac76c449864e1009b57b54eda2b97966d2be9eca44214bfcadafdc76d0a64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c1d03b1b575600a1b1d7c1068c4bfd078b8838ae695a2b5da611334600768d2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2006-12-29T14:32:01Z",
    "title_canon_sha256": "c6a4a98c7b58033050b0362fd51b918eb94a6ccb333a42046ae6ec815f7a6339"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0612251",
    "kind": "arxiv",
    "version": 1
  }
}