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Pith Number

pith:WLU5FLR5

pith:2012:WLU5FLR5FWC7LLGLBMMW3KXARI
not attested not anchored not stored refs pending

Euler - Heisenberg effective action and magnetoelectric effect in multilayer graphene

G. E. Volovik, M. A. Zubkov, M. I. Katsnelson

arxiv:1206.3973 v4 · 2012-06-18 · cond-mat.mes-hall · hep-lat · hep-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WLU5FLR5FWC7LLGLBMMW3KXARI}

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.
Receipt and verification
First computed 2026-05-18T03:34:59.364628Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b2e9d2ae3d2d85f5accb0b196daae08a341f9d2d0901c83c243719211eb1ba65

Aliases

arxiv: 1206.3973 · arxiv_version: 1206.3973v4 · doi: 10.48550/arxiv.1206.3973 · pith_short_12: WLU5FLR5FWC7 · pith_short_16: WLU5FLR5FWC7LLGL · pith_short_8: WLU5FLR5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WLU5FLR5FWC7LLGLBMMW3KXARI \
  | 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: b2e9d2ae3d2d85f5accb0b196daae08a341f9d2d0901c83c243719211eb1ba65
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cff7241b2ee0c20ba6f5b628e2af29257ffadeabe1a5df366edc6e6c20c303cb",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2012-06-18T16:03:24Z",
    "title_canon_sha256": "f35d218b7347bcd755b6fc5a3ec75a8a4d2134d568144a6d02e6595b93e4f405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3973",
    "kind": "arxiv",
    "version": 4
  }
}