Pith Number

pith:SHVC4HPX

pith:2004:SHVC4HPXJOGCUA66S5KUKI4PAJ

not attested not anchored not stored refs pending

Multiloop Information from the QED Effective Lagrangian

Christian Schubert (UTPA), Gerald V. Dunne (Univ. of Connecticut)

arxiv:hep-th/0409021 v1 · 2004-09-02 · 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{SHVC4HPXJOGCUA66S5KUKI4PAJ}

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	2026-05-18T01:38:46.129215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91ea2e1df74b8c2a03de975545238f0253cd68fd61c14fa2ca1e2e8da5380321

Aliases

arxiv: hep-th/0409021 · arxiv_version: hep-th/0409021v1 · doi: 10.48550/arxiv.hep-th/0409021 · pith_short_12: SHVC4HPXJOGC · pith_short_16: SHVC4HPXJOGCUA66 · pith_short_8: SHVC4HPX

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/SHVC4HPXJOGCUA66S5KUKI4PAJ \
  | 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: 91ea2e1df74b8c2a03de975545238f0253cd68fd61c14fa2ca1e2e8da5380321

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9da82a6e42478baff6112fa2657db34400734a0fe288f49edb6d6c8990674d7b",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-09-02T04:59:15Z",
    "title_canon_sha256": "27915e66ef46d7915486ab0eb19f79453e4fb70773156ece695432ceaec90976"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0409021",
    "kind": "arxiv",
    "version": 1
  }
}