Pith Number

pith:4DESH7AX

pith:1999:4DESH7AXFG5HRMWAXBUYBX24IE

not attested not anchored not stored refs pending

QED Effective Action at Finite Temperature: Two-Loop Dominance

Holger Gies

arxiv:hep-ph/9909500 v1 · 1999-09-24 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DESH7AXFG5HRMWAXBUYBX24IE}

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

Leading low-temperature correction to the Heisenberg-Euler Lagrangian

Receipt and verification

First computed	2026-07-04T15:51:27.499132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0c923fc1729ba78b2c0b86980df5c411bf13d7fa3022041732906badc7fa130

Aliases

arxiv: hep-ph/9909500 · arxiv_version: hep-ph/9909500v1 · doi: 10.48550/arxiv.hep-ph/9909500 · pith_short_12: 4DESH7AXFG5H · pith_short_16: 4DESH7AXFG5HRMWA · pith_short_8: 4DESH7AX

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/4DESH7AXFG5HRMWAXBUYBX24IE \
  | 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: e0c923fc1729ba78b2c0b86980df5c411bf13d7fa3022041732906badc7fa130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c969f277b4acd24b720477d5aa9a61271c1976795bd00ce3ee0bc44cfebf3d2",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-09-24T09:02:30Z",
    "title_canon_sha256": "1dd69204804380cc923c3ac9cfd77c051052421a42e462eb347a7b4ee90063c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9909500",
    "kind": "arxiv",
    "version": 1
  }
}