Pith Number

pith:X7RGIIBT

pith:2013:X7RGIIBTTWKVEGNLOQNSCHDICD

not attested not anchored not stored refs pending

Transition-type change between an inverted Berezinskii-Kosterlitz-Thouless transition and an abrupt transition in the bond percolation on a random hierarchical small-world network

Takehisa Hasegawa, Tomoaki Nogawa

arxiv:1312.4697 v2 · 2013-12-17 · cond-mat.stat-mech · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7RGIIBTTWKVEGNLOQNSCHDICD}

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	2026-05-18T02:54:06.890185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfe26420339d955219ab741b211c6810d0f442195db39391aece706750ce5fae

Aliases

arxiv: 1312.4697 · arxiv_version: 1312.4697v2 · doi: 10.48550/arxiv.1312.4697 · pith_short_12: X7RGIIBTTWKV · pith_short_16: X7RGIIBTTWKVEGNL · pith_short_8: X7RGIIBT

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/X7RGIIBTTWKVEGNLOQNSCHDICD \
  | 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: bfe26420339d955219ab741b211c6810d0f442195db39391aece706750ce5fae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "881357b64cc1df24e100254394e5a55e7e60f2dba5760e6d43de6bb15b02f564",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-12-17T09:33:02Z",
    "title_canon_sha256": "03d3082c9df4a242692463c836d751dd949569bb25efd6afeda139be80722a29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4697",
    "kind": "arxiv",
    "version": 2
  }
}