Pith Number

pith:W7KNMLHR

pith:2011:W7KNMLHRZIQLHK3HCPJS2WKV2Z

not attested not anchored not stored refs pending

Generalized Migdal-Kadanoff Bond-moving Renormalization Recursion Procedure I: Symmetrical Half-length Bond Operation on Translational Invariant Lattices

Chun-Yang Wang, Hong Du, Ling-Yu Zhang, Wen-Xian Yang, Xiang-Mu Kong, Yu-Qi Zhang, Zhi-Wei Yan

arxiv:1110.5957 v1 · 2011-10-27 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7KNMLHRZIQLHK3HCPJS2WKV2Z}

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	2026-05-18T04:10:10.091705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7d4d62cf1ca20b3ab6713d32d5955d6420e5b807d79b47ee298f655b1badab9

Aliases

arxiv: 1110.5957 · arxiv_version: 1110.5957v1 · doi: 10.48550/arxiv.1110.5957 · pith_short_12: W7KNMLHRZIQL · pith_short_16: W7KNMLHRZIQLHK3H · pith_short_8: W7KNMLHR

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/W7KNMLHRZIQLHK3HCPJS2WKV2Z \
  | 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: b7d4d62cf1ca20b3ab6713d32d5955d6420e5b807d79b47ee298f655b1badab9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7649d61c2047169f1660bd1b2550253b3a10199f4b66ef2af839cba2928e8c77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-10-27T01:46:42Z",
    "title_canon_sha256": "23fb925abe41c551acbc7a170d97698f5cb46bbaaf66d5c26ae52ac2b93ecb53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5957",
    "kind": "arxiv",
    "version": 1
  }
}