Pith Number

pith:QTSHIZQQ

pith:1999:QTSHIZQQP7RNUJLAPTX7PZNTEF

not attested not anchored not stored refs pending

Self-energy of electrons in non-perturbative QED

Elliott Lieb, Michael Loss

arxiv:math-ph/9908020 v2 · 1999-08-20 · math-ph · hep-th · 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{QTSHIZQQP7RNUJLAPTX7PZNTEF}

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.

Cited by

1 paper in Pith

Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions

Receipt and verification

First computed	2026-07-04T14:34:11.079751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84e47466107fe2da25607ceff7e5b3214d63a78cc2494555d2e5fd7a6b87beff

Aliases

arxiv: math-ph/9908020 · arxiv_version: math-ph/9908020v2 · doi: 10.48550/arxiv.math-ph/9908020 · pith_short_12: QTSHIZQQP7RN · pith_short_16: QTSHIZQQP7RNUJLA · pith_short_8: QTSHIZQQ

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/QTSHIZQQP7RNUJLAPTX7PZNTEF \
  | 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: 84e47466107fe2da25607ceff7e5b3214d63a78cc2494555d2e5fd7a6b87beff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e02f15f5b1985eea97e3220e8b92eda657b6084632ca248d6bf7bddefd9b1212",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1999-08-20T21:06:40Z",
    "title_canon_sha256": "12badfe77abdcfd99d392f6d1859a7f86c6b31fb686c61f25809674e0fcd238f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9908020",
    "kind": "arxiv",
    "version": 2
  }
}