Pith Number

pith:5YUJ7FS3

pith:1993:5YUJ7FS35FYJ7U2DLZ4EXE33XP

not attested not anchored not stored refs pending

Real-Time Thermal Propagators and the QED Effective Action for an External Magnetic Field

B.-S. Skagerstam, D. Persson, P. Elmfors

arxiv:hep-ph/9312226 v2 · 1993-12-06 · 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{5YUJ7FS35FYJ7U2DLZ4EXE33XP}

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	2026-05-18T04:21:31.513849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee289f965be9709fd3435e784b937bbbe2e011ac6197b17c6199b013c4075041

Aliases

arxiv: hep-ph/9312226 · arxiv_version: hep-ph/9312226v2 · doi: 10.48550/arxiv.hep-ph/9312226 · pith_short_12: 5YUJ7FS35FYJ · pith_short_16: 5YUJ7FS35FYJ7U2D · pith_short_8: 5YUJ7FS3

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/5YUJ7FS35FYJ7U2DLZ4EXE33XP \
  | 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: ee289f965be9709fd3435e784b937bbbe2e011ac6197b17c6199b013c4075041

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eb21895911a0877a9b4e97d1bff65daf9195c2c8606b81c434b86f24ec6cc28",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1993-12-06T09:26:46Z",
    "title_canon_sha256": "656b3d8509485578ae64ac2d0f8a8bf82e0e565bb3aeadcb2c123649f0960d77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9312226",
    "kind": "arxiv",
    "version": 2
  }
}