Pith Number

pith:HU5AFZ3Y

pith:2019:HU5AFZ3Y5ZQAUE5NT4U7BNXWYX

not attested not anchored not stored refs pending

An all-loop result for the strong magnetic field limit of the Heisenberg-Euler effective Lagrangian

Felix Karbstein

arxiv:1903.06998 v2 · 2019-03-16 · hep-th · hep-ph · quant-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{HU5AFZ3Y5ZQAUE5NT4U7BNXWYX}

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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

2 papers in Pith

Resurgence of the Effective Action in Inhomogeneous Fields

Leading low-temperature correction to the Heisenberg-Euler Lagrangian

Receipt and verification

First computed	2026-07-05T02:00:41.742538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d3a02e778ee600a13ad9f29f0b6f6c5f9f1d2ef78bdd77e48326a32265d88cc

Aliases

arxiv: 1903.06998 · arxiv_version: 1903.06998v2 · doi: 10.48550/arxiv.1903.06998 · pith_short_12: HU5AFZ3Y5ZQA · pith_short_16: HU5AFZ3Y5ZQAUE5N · pith_short_8: HU5AFZ3Y

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/HU5AFZ3Y5ZQAUE5NT4U7BNXWYX \
  | 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: 3d3a02e778ee600a13ad9f29f0b6f6c5f9f1d2ef78bdd77e48326a32265d88cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c43f5dc8dc6248a9f71368e2c608c80dfc72b8e419c7048b04496390259f0990",
    "cross_cats_sorted": [
      "hep-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-03-16T22:52:38Z",
    "title_canon_sha256": "169b5fdac6e75202e56290b0d89df4aad56e57f5f08e017c27d585029ac7bafa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06998",
    "kind": "arxiv",
    "version": 2
  }
}