Pith Number

pith:7Z647ONN

pith:2026:7Z647ONNBCGJ2Q4AWW64SRKFBU

not attested not anchored not stored refs pending

Perturbative Renormalization and Universality Diagram for Long-Range Quantum Criticality

Kun Chen, Youjin Deng, Zhijie Fan, Zhiyi Li

arxiv:2606.22407 v1 · 2026-06-21 · cond-mat.stat-mech · 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{7Z647ONNBCGJ2Q4AWW64SRKFBU}

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	2026-06-23T02:13:37.575110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe7dcfb9ad088c9d4380b5bdc945450d0690dc169e6ef6829cba00eab62354f1

Aliases

arxiv: 2606.22407 · arxiv_version: 2606.22407v1 · doi: 10.48550/arxiv.2606.22407 · pith_short_12: 7Z647ONNBCGJ · pith_short_16: 7Z647ONNBCGJ2Q4A · pith_short_8: 7Z647ONN

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/7Z647ONNBCGJ2Q4AWW64SRKFBU \
  | 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: fe7dcfb9ad088c9d4380b5bdc945450d0690dc169e6ef6829cba00eab62354f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5914f505d6116fa8efcee05088b97b5747503b17854b58446dfc65b1c329c014",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-06-21T09:47:04Z",
    "title_canon_sha256": "a238d0ae475630ef811529edabe585433a0a549708523413ee2045036c38f1b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22407",
    "kind": "arxiv",
    "version": 1
  }
}