Pith Number

pith:27WLOL5W

pith:2025:27WLOL5WSXUQFQ7HUPRIQ3IC2A

not attested not anchored not stored refs pending

Nondegenerate, Lamb-shift Solution of the Dirac Hydrogen Atom

Nathan S. Roberts

arxiv:2504.18477 v1 · 2025-04-25 · quant-ph · 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{27WLOL5WSXUQFQ7HUPRIQ3IC2A}

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	2026-07-05T10:54:07.962590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7ecb72fb695e902c3e7a3e2886d02d0091f1ecbc5ef2054fb30ea563353f050

Aliases

arxiv: 2504.18477 · arxiv_version: 2504.18477v1 · doi: 10.48550/arxiv.2504.18477 · pith_short_12: 27WLOL5WSXUQ · pith_short_16: 27WLOL5WSXUQFQ7H · pith_short_8: 27WLOL5W

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/27WLOL5WSXUQFQ7HUPRIQ3IC2A \
  | 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: d7ecb72fb695e902c3e7a3e2886d02d0091f1ecbc5ef2054fb30ea563353f050

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47a10160b9b62df0d0ff746a16841676ea119f6b65e3bcb2aefd2c8fa5d0ab09",
    "cross_cats_sorted": [
      "physics.atom-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-04-25T16:34:20Z",
    "title_canon_sha256": "ec1761998bb9edec2ac406394f90cc60e56c2ba49c706ed1bf087ff5495d8019"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.18477",
    "kind": "arxiv",
    "version": 1
  }
}