Pith Number

pith:PBZXPOPB

pith:1998:PBZXPOPBJAGZRO2O6PDVXMBCGJ

not attested not anchored not stored refs pending

Conductivity Exponent and Backbone Dimension in 2-d Percolation

P. Grassberger

arxiv:cond-mat/9808095 v2 · 1998-08-10 · cond-mat.dis-nn · 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{PBZXPOPBJAGZRO2O6PDVXMBCGJ}

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	2026-05-18T01:39:30.193018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

787377b9e1480d98bb4ef3c75bb022326fc4964cef3394481ab932688ab31866

Aliases

arxiv: cond-mat/9808095 · arxiv_version: cond-mat/9808095v2 · doi: 10.48550/arxiv.cond-mat/9808095 · pith_short_12: PBZXPOPBJAGZ · pith_short_16: PBZXPOPBJAGZRO2O · pith_short_8: PBZXPOPB

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/PBZXPOPBJAGZRO2O6PDVXMBCGJ \
  | 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: 787377b9e1480d98bb4ef3c75bb022326fc4964cef3394481ab932688ab31866

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a14384d64ccdfc2417ec8136a6f3a2b7e47ca3985c4e6395d4a7a3cdf904e22",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "1998-08-10T14:21:46Z",
    "title_canon_sha256": "cbaa837525e74ad64eaac82d0b6c3f0b7121391f15fc6e50f17ff0d93eae944a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9808095",
    "kind": "arxiv",
    "version": 2
  }
}