Pith Number

pith:VBOSGS2F

pith:2012:VBOSGS2FB6K7VK3O56SGZOACJM

not attested not anchored not stored refs pending

Critical Properties of $S^{4}$ System Restudied via Generalized Migdal-Kadanoff Bond-moving Renormalization

Chun-Yang Wang, Hong Du, Wen-Xian Yang

arxiv:1208.4892 v1 · 2012-08-24 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBOSGS2FB6K7VK3O56SGZOACJM}

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	2026-05-18T03:47:52.329118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a85d234b450f95faab6eefa46cb8024b3cdf9062a1dfe86961cbee3bd359f604

Aliases

arxiv: 1208.4892 · arxiv_version: 1208.4892v1 · doi: 10.48550/arxiv.1208.4892 · pith_short_12: VBOSGS2FB6K7 · pith_short_16: VBOSGS2FB6K7VK3O · pith_short_8: VBOSGS2F

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/VBOSGS2FB6K7VK3O56SGZOACJM \
  | 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: a85d234b450f95faab6eefa46cb8024b3cdf9062a1dfe86961cbee3bd359f604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26efe616aa9d3c2d6340288c9a9cd6a77a62360f301bb23d8547c2e55ff8a57d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-08-24T02:31:10Z",
    "title_canon_sha256": "1b8fe1e3c384d891bd31e7bbfcde0630f7bd152698ea7b47d20ff02ee7616a70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4892",
    "kind": "arxiv",
    "version": 1
  }
}