Pith Number

pith:CFURZHQ6

pith:2026:CFURZHQ6FOVPZ2POIC4G56NC6J

not attested not anchored not stored refs pending

Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group

Masayuki Ohzeki, Ryuki Ito, Taisei Matsuo

arxiv:2605.25683 v1 · 2026-05-25 · cond-mat.stat-mech · cond-mat.dis-nn · 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{CFURZHQ6FOVPZ2POIC4G56NC6J}

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.

Cited by

1 paper in Pith

Analysis of Critical Points in a Permutation Model on Hierarchical Lattices by Real-Space Renormalization Group

Receipt and verification

First computed	2026-05-26T02:04:50.067455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11691c9e1e2baafce9ee40b86ef9a2f2484957db49b0ca6ef0767edd78df40a7

Aliases

arxiv: 2605.25683 · arxiv_version: 2605.25683v1 · doi: 10.48550/arxiv.2605.25683 · pith_short_12: CFURZHQ6FOVP · pith_short_16: CFURZHQ6FOVPZ2PO · pith_short_8: CFURZHQ6

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/CFURZHQ6FOVPZ2POIC4G56NC6J \
  | 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: 11691c9e1e2baafce9ee40b86ef9a2f2484957db49b0ca6ef0767edd78df40a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea4b7de33e1651524fb0c2214e2339001e0017d798905da549a96758e63f0e8",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-25T10:39:41Z",
    "title_canon_sha256": "86ace57a6cdac9e29b4f1153ceff7b737c7a751e024152113652dc5472cf0451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25683",
    "kind": "arxiv",
    "version": 1
  }
}