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Pith Number

pith:5WBTAA73

pith:2013:5WBTAA73PL3HUF3UR5EDPR5K5P
not attested not anchored not stored refs pending

Magnetic catalysis effect in (2+1)-dimensional Gross--Neveu model with Zeeman interaction

K.G. Klimenko, R.N. Zhokhov

arxiv:1307.7265 v3 · 2013-07-27 · hep-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5WBTAA73PL3HUF3UR5EDPR5K5P}

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 2026-05-18T01:48:33.792775Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ed833003fb7af67a17748f4837c7aaebd087661bc7c26fef4973390beb69ad81

Aliases

arxiv: 1307.7265 · arxiv_version: 1307.7265v3 · doi: 10.48550/arxiv.1307.7265 · pith_short_12: 5WBTAA73PL3H · pith_short_16: 5WBTAA73PL3HUF3U · pith_short_8: 5WBTAA73
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5WBTAA73PL3HUF3UR5EDPR5K5P \
  | 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: ed833003fb7af67a17748f4837c7aaebd087661bc7c26fef4973390beb69ad81
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "92e3be103192ce56cd814d42af900c6fe7a9754ed6fe28b7d19db7c76bb77084",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-07-27T14:30:38Z",
    "title_canon_sha256": "d86cd7ad4adae50f69f9192251727af396dd911fe05e331e80850c208d5a0d57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7265",
    "kind": "arxiv",
    "version": 3
  }
}