Pith Number

pith:LUSHAHB3

pith:2025:LUSHAHB3TTOIEBPHXOZSGOPRSN

not attested not anchored not stored refs pending

Sturmian basis set for the Dirac equation with finite nuclear size: Application to polarizability, Zeeman and hyperfine splitting, and vacuum polarization

A. V. Volotka, D. A. Glazov, V. K. Ivanov

arxiv:2506.11988 v1 · 2025-06-13 · 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{LUSHAHB3TTOIEBPHXOZSGOPRSN}

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	2026-07-05T11:21:13.951959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d24701c3b9cdc8205e7bbb32339f19378b813640a77fd5ec228ea90255096a9

Aliases

arxiv: 2506.11988 · arxiv_version: 2506.11988v1 · doi: 10.48550/arxiv.2506.11988 · pith_short_12: LUSHAHB3TTOI · pith_short_16: LUSHAHB3TTOIEBPH · pith_short_8: LUSHAHB3

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/LUSHAHB3TTOIEBPHXOZSGOPRSN \
  | 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: 5d24701c3b9cdc8205e7bbb32339f19378b813640a77fd5ec228ea90255096a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1681517341619070a06ec79ceb9c74929e5e3d7c4e653a8a079a66c4abfbaf1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2025-06-13T17:46:10Z",
    "title_canon_sha256": "1b6ac11a61b761ba27837aa71d4490afef1207324fe04c4cf3616da742777052"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11988",
    "kind": "arxiv",
    "version": 1
  }
}