Pith Number

pith:NPZOFX4X

pith:2012:NPZOFX4XEVKLNLOZDU3LQYDTFP

not attested not anchored not stored refs pending

Absence of the non-percolating phase for percolation on the non-planar Hanoi network

Takehisa Hasegawa, Tomoaki Nogawa

arxiv:1212.5545 v2 · 2012-12-21 · cond-mat.dis-nn · physics.soc-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{NPZOFX4XEVKLNLOZDU3LQYDTFP}

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	2026-05-18T03:30:27.622467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bf2e2df972554b6add91d36b860732bfea2f14861aac79e50a4e7d36f45048f

Aliases

arxiv: 1212.5545 · arxiv_version: 1212.5545v2 · doi: 10.48550/arxiv.1212.5545 · pith_short_12: NPZOFX4XEVKL · pith_short_16: NPZOFX4XEVKLNLOZ · pith_short_8: NPZOFX4X

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/NPZOFX4XEVKLNLOZDU3LQYDTFP \
  | 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: 6bf2e2df972554b6add91d36b860732bfea2f14861aac79e50a4e7d36f45048f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ea6dc7151e1ddeafca2dccbb61d5dba2073c1e1e19bb31dbedaf8fcea91eef2",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2012-12-21T18:32:00Z",
    "title_canon_sha256": "83cee7b3b1dd94b55342fed647f6cbd963eef0ba2736acc45e361ca08b51e471"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5545",
    "kind": "arxiv",
    "version": 2
  }
}