Pith Number

pith:PX2ZGK2K

pith:2012:PX2ZGK2KKVNC4QP2V5JG7FJ52G

not attested not anchored not stored refs pending

Quantum Group Theory in $\tau^{(2)}$-model, Duality of $\tau^{(2)}$-model and XXZ-model with Cyclic ${\bf U_q(sl_2)}$-representation for ${\bf q^n =1}$, and Chiral Potts Model

Shi-shyr Roan

arxiv:1206.4356 v1 · 2012-06-19 · math-ph · cond-mat.stat-mech · hep-th · math.MP · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PX2ZGK2KKVNC4QP2V5JG7FJ52G}

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	2026-05-18T03:53:06.109469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7df5932b4a555a2e41faaf526f953dd18532d6f86dc4a2274c683045fb852911

Aliases

arxiv: 1206.4356 · arxiv_version: 1206.4356v1 · doi: 10.48550/arxiv.1206.4356 · pith_short_12: PX2ZGK2KKVNC · pith_short_16: PX2ZGK2KKVNC4QP2 · pith_short_8: PX2ZGK2K

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/PX2ZGK2KKVNC4QP2V5JG7FJ52G \
  | 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: 7df5932b4a555a2e41faaf526f953dd18532d6f86dc4a2274c683045fb852911

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc076f87ef16fa0c5a0357f8dbba1292511258f10cfd79500531714e46c4c7d2",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-19T23:03:55Z",
    "title_canon_sha256": "e18bace8e999976d5d528ed3992a17bc3754e227520463e714471bc9b57f5171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4356",
    "kind": "arxiv",
    "version": 1
  }
}