Pith Number

pith:YFHG4466

pith:2001:YFHG4466BBMXHJR4OTP5YVXLBD

not attested not anchored not stored refs pending

Renormalization of the two-photon vacuum polarization and the self energy vacuum polarization for a tightly bound electron

Gerhard Soff, Guenter Plunien, Sven Zschocke

arxiv:hep-ph/0107315 v2 · 2001-07-31 · hep-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{YFHG4466BBMXHJR4OTP5YVXLBD}

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	2026-05-18T04:15:27.227520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c14e6e73de085973a63c74dfdc56eb08d63475aab61ad7e28a33fbccf7b3261b

Aliases

arxiv: hep-ph/0107315 · arxiv_version: hep-ph/0107315v2 · doi: 10.48550/arxiv.hep-ph/0107315 · pith_short_12: YFHG4466BBMX · pith_short_16: YFHG4466BBMXHJR4 · pith_short_8: YFHG4466

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/YFHG4466BBMXHJR4OTP5YVXLBD \
  | 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: c14e6e73de085973a63c74dfdc56eb08d63475aab61ad7e28a33fbccf7b3261b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d62efc4f9a1ad4dfee7c7f0e3a66dcd7a9eff4827346f48432c099f47df2fec",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-07-31T07:03:49Z",
    "title_canon_sha256": "329c9c7df84bb35f38936c1d1c45405ff0ec54ddcb0f3224d5bec1794f3d5186"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0107315",
    "kind": "arxiv",
    "version": 2
  }
}