Pith Number

pith:4ZGLBGL6

pith:2012:4ZGLBGL6NEZYJCGNDKTHK6JKTQ

not attested not anchored not stored refs pending

Thermal entanglement between non-nearest-neighbor spins on fractal lattices

Lu-Shun Wang, Xiang-Mu Kong, Yu-Liang Xu

arxiv:1203.4774 v1 · 2012-03-21 · 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{4ZGLBGL6NEZYJCGNDKTHK6JKTQ}

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	2026-05-18T01:58:04.967659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e64cb0997e69338488cd1aa675792a9c3236c61cf0bfe37a44f377c14587c85c

Aliases

arxiv: 1203.4774 · arxiv_version: 1203.4774v1 · doi: 10.48550/arxiv.1203.4774 · pith_short_12: 4ZGLBGL6NEZY · pith_short_16: 4ZGLBGL6NEZYJCGN · pith_short_8: 4ZGLBGL6

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/4ZGLBGL6NEZYJCGNDKTHK6JKTQ \
  | 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: e64cb0997e69338488cd1aa675792a9c3236c61cf0bfe37a44f377c14587c85c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "483fc66eb15e1ca36178f543cc105b814a14e989310083d6ab7bb172e9b32a99",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-03-21T16:19:16Z",
    "title_canon_sha256": "688171d90c834691ce9461bee6adfffa7b04f3a78a69b26a57a314d8ca94878a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4774",
    "kind": "arxiv",
    "version": 1
  }
}