Pith Number

pith:KUGU2QJC

pith:2014:KUGU2QJCOQNXZEYUDSXF4XWK34

not attested not anchored not stored refs pending

Computationally efficient analytic representation of relativistic transition matrix elements in the Lamb shift calculations for hydrogenic atoms

A.V. Soldatov, G. Adam, J. Seke, M. Polak

arxiv:1412.5105 v1 · 2014-12-15 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KUGU2QJCOQNXZEYUDSXF4XWK34}

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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	2026-05-18T02:31:09.631979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

550d4d4122741b7c93141cae5e5ecadf0da8f6fa9b6c38e0b70744d22ae26863

Aliases

arxiv: 1412.5105 · arxiv_version: 1412.5105v1 · doi: 10.48550/arxiv.1412.5105 · pith_short_12: KUGU2QJCOQNX · pith_short_16: KUGU2QJCOQNXZEYU · pith_short_8: KUGU2QJC

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/KUGU2QJCOQNXZEYUDSXF4XWK34 \
  | 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: 550d4d4122741b7c93141cae5e5ecadf0da8f6fa9b6c38e0b70744d22ae26863

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fd199fca00c3094f60eca50a0c60f5c4d732b1fd5477dd6951bfd8d17ddb250",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-12-15T15:45:18Z",
    "title_canon_sha256": "dfb0c28bfc82b43cf0932cd227bf29c106be632fae9e134a9293b82ae0b4b2b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5105",
    "kind": "arxiv",
    "version": 1
  }
}