Pith. sign in
Pith Number

pith:WYWR7JSG

pith:2011:WYWR7JSGXC4FDVR777YBB6MFNH
not attested not anchored not stored refs pending

Effective Lagrangian in nonlinear electrodynamics and its properties of causality and unitarity

Anatoly E. Shabad, Vladimir V. Usov

arxiv:1101.2343 v1 · 2011-01-12 · hep-th · astro-ph.HE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WYWR7JSGXC4FDVR777YBB6MFNH}

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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

1 paper in Pith

Receipt and verification
First computed 2026-05-18T04:22:11.085376Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b62d1fa646b8b851d63ffff010f98569e7510807ddf28b62fefd05c20fa83463

Aliases

arxiv: 1101.2343 · arxiv_version: 1101.2343v1 · doi: 10.48550/arxiv.1101.2343 · pith_short_12: WYWR7JSGXC4F · pith_short_16: WYWR7JSGXC4FDVR7 · pith_short_8: WYWR7JSG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WYWR7JSGXC4FDVR777YBB6MFNH \
  | 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: b62d1fa646b8b851d63ffff010f98569e7510807ddf28b62fefd05c20fa83463
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cbd5c1aad8fe6c239a15bd8504c34aa9d7d9413ad878c9cd0a331654aeffcb70",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-01-12T12:44:13Z",
    "title_canon_sha256": "be3dd158f109873c2fdb93064a032465e0744e85f66c6854b0da7c47dd70fb70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2343",
    "kind": "arxiv",
    "version": 1
  }
}