Pith Number

pith:SNSHRWAI

pith:2001:SNSHRWAI7RIE5N7DDMKKXJQRVP

not attested not anchored not stored refs pending

Closed-form two-loop Euler-Heisenberg Lagrangian in a self-dual background

Christian Schubert, Gerald V. Dunne

arxiv:hep-th/0111134 v1 · 2001-11-14 · 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{SNSHRWAI7RIE5N7DDMKKXJQRVP}

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	2026-07-04T16:28:10.226840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

936478d808fc504eb7e31b14aba611abe6546ed5ac6f59b7e9a2913228bcade4

Aliases

arxiv: hep-th/0111134 · arxiv_version: hep-th/0111134v1 · doi: 10.48550/arxiv.hep-th/0111134 · pith_short_12: SNSHRWAI7RIE · pith_short_16: SNSHRWAI7RIE5N7D · pith_short_8: SNSHRWAI

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/SNSHRWAI7RIE5N7DDMKKXJQRVP \
  | 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: 936478d808fc504eb7e31b14aba611abe6546ed5ac6f59b7e9a2913228bcade4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f25dc596fb94eeaafb95211fa6397870563936cac114a491a866002b8b4d83b",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-11-14T21:13:27Z",
    "title_canon_sha256": "f3bbc1dab768315d1d3195a9e4e6bd7eabb9bd16e79f0e1a37c381b4808096c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0111134",
    "kind": "arxiv",
    "version": 1
  }
}