Pith. sign in
Pith Number

pith:DXFV2TSE

pith:1998:DXFV2TSECIGAY534VX3WAUTQNZ
not attested not anchored not stored refs pending

Derivative Expansion of the Effective Action for QED in 2+1 and 3+1 dimensions

I. A. Shovkovy, V. P. Gusynin

arxiv:hep-th/9804143 v4 · 1998-04-21 · hep-th · hep-ph · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DXFV2TSECIGAY534VX3WAUTQNZ}

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

Receipt and verification
First computed 2026-07-04T16:09:46.378813Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1dcb5d4e44120c0c777cadf76052706e53abe9f291bb6a8f84587d56c75d1512

Aliases

arxiv: hep-th/9804143 · arxiv_version: hep-th/9804143v4 · doi: 10.48550/arxiv.hep-th/9804143 · pith_short_12: DXFV2TSECIGA · pith_short_16: DXFV2TSECIGAY534 · pith_short_8: DXFV2TSE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DXFV2TSECIGAY534VX3WAUTQNZ \
  | 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: 1dcb5d4e44120c0c777cadf76052706e53abe9f291bb6a8f84587d56c75d1512
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "14ff6e37e440ae364d8fe6abcb2b8bf21f7c6c6640042bd20746050539ca22ae",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-04-21T21:24:25Z",
    "title_canon_sha256": "2360bc3864a53a12672adec2ce2c679844fde3b1073a034631807a65f0bad218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9804143",
    "kind": "arxiv",
    "version": 4
  }
}