Pith Number

pith:PZ5MNZO6

pith:2004:PZ5MNZO6RZVPKYTMPFGWF3KBO5

not attested not anchored not stored refs pending

Two-loop Euler-Heisenberg effective actions from charged open strings

Lorenzo Magnea, Rodolfo Russo, Stefano Sciuto

arxiv:hep-th/0412087 v4 · 2004-12-08 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZ5MNZO6RZVPKYTMPFGWF3KBO5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:17:55.049646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e7ac6e5de8e6af5626c794d62ed41774ead0390c2e50a97ef8fd94af973e822

Aliases

arxiv: hep-th/0412087 · arxiv_version: hep-th/0412087v4 · doi: 10.48550/arxiv.hep-th/0412087 · pith_short_12: PZ5MNZO6RZVP · pith_short_16: PZ5MNZO6RZVPKYTM · pith_short_8: PZ5MNZO6

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/PZ5MNZO6RZVPKYTMPFGWF3KBO5 \
  | 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: 7e7ac6e5de8e6af5626c794d62ed41774ead0390c2e50a97ef8fd94af973e822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2487f733b3b8a18afd2fac8bceb6a752499453167180a97c7c32fd63fb68bfd5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-12-08T14:46:49Z",
    "title_canon_sha256": "df24f69d186cdffb88b88cf7c3a4f683e35b3118b7dd9d341bb4188f2a8b4c74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0412087",
    "kind": "arxiv",
    "version": 4
  }
}