Pith Number

pith:33JOJGPT

pith:2024:33JOJGPTGQDI75QGBBJWVYIZYC

not attested not anchored not stored refs pending

Self-energy correction to the E1 transition amplitudes in hydrogen-like ions

M. G. Kozlov, M. Y. Kaygorodov, V. A. Yerokhin, Yu. A. Demidov

arxiv:2412.01231 v2 · 2024-12-02 · 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{33JOJGPTGQDI75QGBBJWVYIZYC}

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	2026-07-05T10:10:29.205129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded2e499f334068ff60608536ae119c0914bdb9543dc8d221400a2efc7b5c7ff

Aliases

arxiv: 2412.01231 · arxiv_version: 2412.01231v2 · doi: 10.48550/arxiv.2412.01231 · pith_short_12: 33JOJGPTGQDI · pith_short_16: 33JOJGPTGQDI75QG · pith_short_8: 33JOJGPT

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/33JOJGPTGQDI75QGBBJWVYIZYC \
  | 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: ded2e499f334068ff60608536ae119c0914bdb9543dc8d221400a2efc7b5c7ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2a2c44f2496621b140ff7d0e6146f80f989a3c18d4271d997b98f2ab9354395",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2024-12-02T07:52:16Z",
    "title_canon_sha256": "d1bf2e0b1ff5e699e9c5258840a7bcfa266ec2aa450251e48108b2b4f04a3040"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01231",
    "kind": "arxiv",
    "version": 2
  }
}