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Pith Number

pith:IXESN3CE

pith:2021:IXESN3CEGFD7LZRHN7LIJE4JOF
not attested not anchored not stored refs pending

Universal structure of radiative QED amplitudes at one loop

Adrian Signer, Tim Engel, Yannick Ulrich

arxiv:2112.07570 v2 · 2021-12-14 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IXESN3CEGFD7LZRHN7LIJE4JOF}

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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 2026-07-05T04:19:50.093867Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

45c926ec443147f5e6276fd68493897143ac3246a0b83385ae2da4d251963aae

Aliases

arxiv: 2112.07570 · arxiv_version: 2112.07570v2 · doi: 10.48550/arxiv.2112.07570 · pith_short_12: IXESN3CEGFD7 · pith_short_16: IXESN3CEGFD7LZRH · pith_short_8: IXESN3CE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IXESN3CEGFD7LZRHN7LIJE4JOF \
  | 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: 45c926ec443147f5e6276fd68493897143ac3246a0b83385ae2da4d251963aae
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6d55c97a17a2cb5731779b6c2d030725e8e1ce22ec5dbea684b2cbf3066b6256",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-12-14T17:21:58Z",
    "title_canon_sha256": "af625224aa84c6d6526648e144960964f0951d27d9ffcf9ee308898aacd01eb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.07570",
    "kind": "arxiv",
    "version": 2
  }
}