Pith Number

pith:I6SVUOQQ

pith:2011:I6SVUOQQOGVWFWUD2ZLKQZTNL3

not attested not anchored not stored refs pending

Shortest-Path Fractal Dimension for Percolation in Two and Three Dimensions

Ji Yang, Robert M. Ziff, Youjin Deng, Zongzheng Zhou

arxiv:1112.3428 v4 · 2011-12-15 · 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{I6SVUOQQOGVWFWUD2ZLKQZTNL3}

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	2026-05-18T01:59:09.490135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47a55a3a1071ab62da83d656a8666d5efed216c39966c981a0e2a95fdc8303fd

Aliases

arxiv: 1112.3428 · arxiv_version: 1112.3428v4 · doi: 10.48550/arxiv.1112.3428 · pith_short_12: I6SVUOQQOGVW · pith_short_16: I6SVUOQQOGVWFWUD · pith_short_8: I6SVUOQQ

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/I6SVUOQQOGVWFWUD2ZLKQZTNL3 \
  | 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: 47a55a3a1071ab62da83d656a8666d5efed216c39966c981a0e2a95fdc8303fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03551fc42f39dc28591b9cd19f833291ae6fe85c58d7016832ca582816317f13",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-12-15T05:47:48Z",
    "title_canon_sha256": "cf68443b66f00fb4e701161a262c409cda3ce169fd95754660a914e379cbb567"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3428",
    "kind": "arxiv",
    "version": 4
  }
}