Pith Number

pith:2OL5ONZ7

pith:2013:2OL5ONZ72CE6ZQHISQMFTJJKZA

not attested not anchored not stored refs pending

Calculation of the relativistic Bethe logarithm in the two-center problem

Jean-Philippe Karr, Laurent Hilico, Vladimir I. Korobov

arxiv:1304.4543 v1 · 2013-04-16 · 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{2OL5ONZ72CE6ZQHISQMFTJJKZA}

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	2026-05-18T02:59:44.644400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d397d7373fd089ecc0e8941859a52ac82d20b5837cb5b461658991f24dd29ec2

Aliases

arxiv: 1304.4543 · arxiv_version: 1304.4543v1 · doi: 10.48550/arxiv.1304.4543 · pith_short_12: 2OL5ONZ72CE6 · pith_short_16: 2OL5ONZ72CE6ZQHI · pith_short_8: 2OL5ONZ7

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/2OL5ONZ72CE6ZQHISQMFTJJKZA \
  | 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: d397d7373fd089ecc0e8941859a52ac82d20b5837cb5b461658991f24dd29ec2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5926ead0570778955cccea082b3ef6212a072a86f099bf16b41f172ed4448a21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2013-04-16T18:21:24Z",
    "title_canon_sha256": "5642f3de7dbe3931749372e72e43f1db6c1e258cb59327252f3d879a7350e078"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4543",
    "kind": "arxiv",
    "version": 1
  }
}