Pith Number

pith:ODKYAKKF

pith:2003:ODKYAKKF5GJA2PYT66YRMBULIU

not attested not anchored not stored refs pending

On the low-energy limit of the QED N-photon amplitudes

Christian Schubert, Louise C. Martin, Victor M. Villanueva Sandoval

arxiv:hep-th/0301022 v3 · 2003-01-06 · hep-th · 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{ODKYAKKF5GJA2PYT66YRMBULIU}

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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

Progress in NLO Calculations for gamma-gamma Physics

Receipt and verification

First computed	2026-07-04T16:41:01.681296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70d5802945e9920d3f13f7b116068b4529233fa78a808b509bf7fea89c5f1703

Aliases

arxiv: hep-th/0301022 · arxiv_version: hep-th/0301022v3 · doi: 10.48550/arxiv.hep-th/0301022 · pith_short_12: ODKYAKKF5GJA · pith_short_16: ODKYAKKF5GJA2PYT · pith_short_8: ODKYAKKF

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/ODKYAKKF5GJA2PYT66YRMBULIU \
  | 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: 70d5802945e9920d3f13f7b116068b4529233fa78a808b509bf7fea89c5f1703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd0395b5a7cda5300713fcc1b06650ae22bcf5c101267fe82ed2ce108f97096a",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-01-06T15:04:51Z",
    "title_canon_sha256": "377a0539c35eae792b5d8b31b7b9a3962591c1859b98328e81167972b87a40a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0301022",
    "kind": "arxiv",
    "version": 3
  }
}