Pith Number

pith:D5KGRKKQ

pith:2011:D5KGRKKQXYV3AFYAZ6HXFFB2DP

not attested not anchored not stored refs pending

Scaling of entanglement entropy and hyperbolic geometry

Hiroaki Matsueda

arxiv:1112.5566 v1 · 2011-12-23 · 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{D5KGRKKQXYV3AFYAZ6HXFFB2DP}

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	2026-05-18T04:05:46.528554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f5468a950be2bb01700cf8f72943a1bc5819d3ac8ee8e1e9ff792a881474060

Aliases

arxiv: 1112.5566 · arxiv_version: 1112.5566v1 · doi: 10.48550/arxiv.1112.5566 · pith_short_12: D5KGRKKQXYV3 · pith_short_16: D5KGRKKQXYV3AFYA · pith_short_8: D5KGRKKQ

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/D5KGRKKQXYV3AFYAZ6HXFFB2DP \
  | 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: 1f5468a950be2bb01700cf8f72943a1bc5819d3ac8ee8e1e9ff792a881474060

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01e0197cd6fe08d592d36eb82ac354cc4ecd737db1d1d3db8ee555de38d9a39d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-12-23T12:06:56Z",
    "title_canon_sha256": "71b976add6b509bfb5bff05e8070bb361d2d48175d55d7d01917671ee6607ba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5566",
    "kind": "arxiv",
    "version": 1
  }
}