Pith Number

pith:PH2CDY35

pith:2011:PH2CDY35PEYZSDGRRAGCMULPOO

not attested not anchored not stored refs pending

The Euler-Heisenberg Lagrangian beyond one loop

Christian Schubert, Idrish Huet, Michel Rausch de Traubenberg

arxiv:1112.1049 v1 · 2011-12-05 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PH2CDY35PEYZSDGRRAGCMULPOO}

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

A Guide to Functional Methods Beyond One-Loop Order

Receipt and verification

First computed	2026-05-18T01:59:16.887253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79f421e37d7931990cd1880c26516f73accaeb45439a2ea50b148f07c8a46cd3

Aliases

arxiv: 1112.1049 · arxiv_version: 1112.1049v1 · doi: 10.48550/arxiv.1112.1049 · pith_short_12: PH2CDY35PEYZ · pith_short_16: PH2CDY35PEYZSDGR · pith_short_8: PH2CDY35

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/PH2CDY35PEYZSDGRRAGCMULPOO \
  | 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: 79f421e37d7931990cd1880c26516f73accaeb45439a2ea50b148f07c8a46cd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39a8990acb39fbc964d1000a6bf32c1802d82b0dad78b9b6e7850860523f3344",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-12-05T20:34:36Z",
    "title_canon_sha256": "61b32d18b9028902ad512185357d6c25cabb9330103628709693744c28d501ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1049",
    "kind": "arxiv",
    "version": 1
  }
}