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Pith Number

pith:VROUSRCT

pith:2012:VROUSRCTDTG55VRI37BY2P5V2X
not attested not anchored not stored refs pending

Hydrogen-like atoms in relativistic QED

Edgardo Stockmeyer, Martin K\"onenberg, Oliver Matte

arxiv:1207.5134 v1 · 2012-07-21 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VROUSRCTDTG55VRI37BY2P5V2X}

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 2026-05-18T02:59:45.128346Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ac5d4944531ccdded628dfc38d3fb5d5ebb5ac65f29e6a0445d37990d2ebba1d

Aliases

arxiv: 1207.5134 · arxiv_version: 1207.5134v1 · doi: 10.48550/arxiv.1207.5134 · pith_short_12: VROUSRCTDTG5 · pith_short_16: VROUSRCTDTG55VRI · pith_short_8: VROUSRCT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VROUSRCTDTG55VRI37BY2P5V2X \
  | 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: ac5d4944531ccdded628dfc38d3fb5d5ebb5ac65f29e6a0445d37990d2ebba1d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "27e856b99b9e6e5f1bcf0b3bf64105183763701ea7e3e5238461c3c25108ed9d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-21T13:20:42Z",
    "title_canon_sha256": "c2e79fc2da5d7f038e051947773649d9c172b11fd906113a8a7f86ad3c3f5637"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5134",
    "kind": "arxiv",
    "version": 1
  }
}