Pith Number

pith:3KZZZSLX

pith:2011:3KZZZSLXGDYPJICS3EW3YRY6FI

not attested not anchored not stored refs pending

Hyperfine splitting in non-relativistic QED: uniqueness of the dressed hydrogen atom ground state

J\'er\'emy Faupin, Laurent Amour

arxiv:1112.0413 v1 · 2011-12-02 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KZZZSLXGDYPJICS3EW3YRY6FI}

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	2026-05-18T01:59:18.140961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dab39cc97730f0f4a052d92dbc471e2a1a961011dc0a63c641e4bb80a9e20730

Aliases

arxiv: 1112.0413 · arxiv_version: 1112.0413v1 · doi: 10.48550/arxiv.1112.0413 · pith_short_12: 3KZZZSLXGDYP · pith_short_16: 3KZZZSLXGDYPJICS · pith_short_8: 3KZZZSLX

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/3KZZZSLXGDYPJICS3EW3YRY6FI \
  | 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: dab39cc97730f0f4a052d92dbc471e2a1a961011dc0a63c641e4bb80a9e20730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25d99104416f307ccfbae5ecb3a4b3811d27042fa10f4aab3b7d29cf9a40a1f9",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-02T09:51:58Z",
    "title_canon_sha256": "c14638a894fa7acd066f01268b8d576396858c53a243738fb95d906c09b55792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0413",
    "kind": "arxiv",
    "version": 1
  }
}