Pith Number

pith:2BUM4S4N

pith:2002:2BUM4S4NMH7CYDWFIQ3C7NDLVC

not attested not anchored not stored refs pending

Two-loop self-dual Euler-Heisenberg Lagrangians (I): Real part and helicity amplitudes

Christian Schubert, Gerald V. Dunne

arxiv:hep-th/0205004 v2 · 2002-04-30 · hep-th · hep-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BUM4S4NMH7CYDWFIQ3C7NDLVC}

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

Scattering and depletion in a flying focus from conformal transformations

Receipt and verification

First computed	2026-07-04T16:34:44.731681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d068ce4b8d61fe2c0ec544362fb46ba8a6d9066d6ce14ea06ecdc82e0f57d127

Aliases

arxiv: hep-th/0205004 · arxiv_version: hep-th/0205004v2 · doi: 10.48550/arxiv.hep-th/0205004 · pith_short_12: 2BUM4S4NMH7C · pith_short_16: 2BUM4S4NMH7CYDWF · pith_short_8: 2BUM4S4N

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/2BUM4S4NMH7CYDWFIQ3C7NDLVC \
  | 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: d068ce4b8d61fe2c0ec544362fb46ba8a6d9066d6ce14ea06ecdc82e0f57d127

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e726244135ef64ee18879627aacbaf33258602b8a3b914ac610d44debd2adaa2",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-04-30T21:23:11Z",
    "title_canon_sha256": "76de4b8f39c977a33f8f1b8fcb623ee35a1b560ff58d7c1d0b1ef6e140069bd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0205004",
    "kind": "arxiv",
    "version": 2
  }
}