Pith Number

pith:4D6KTYKJ

pith:2017:4D6KTYKJF3J2EN7AQ7CAST2Q2L

not attested not anchored not stored refs pending

Critical percolation clusters in seven dimensions and on a complete graph

Junfeng Wang, Pengcheng Hou, Robert M. Ziff, Wei Huang, Youjin Deng

arxiv:1706.04725 v1 · 2017-06-15 · 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{4D6KTYKJF3J2EN7AQ7CAST2Q2L}

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	2026-05-18T00:23:35.615004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0fca9e1492ed3a237e087c4094f50d2d796cd63f31a5ca9562aec7acdd95bb8

Aliases

arxiv: 1706.04725 · arxiv_version: 1706.04725v1 · doi: 10.48550/arxiv.1706.04725 · pith_short_12: 4D6KTYKJF3J2 · pith_short_16: 4D6KTYKJF3J2EN7A · pith_short_8: 4D6KTYKJ

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/4D6KTYKJF3J2EN7AQ7CAST2Q2L \
  | 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: e0fca9e1492ed3a237e087c4094f50d2d796cd63f31a5ca9562aec7acdd95bb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a735e54d32b8705d3a06b4c67ace8e6dc94ce2e55e263f0564aa092ee089516b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2017-06-15T02:32:41Z",
    "title_canon_sha256": "73b02b97f8db8351063712b73f8e48515cd826a87cf2badaa053146def160463"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04725",
    "kind": "arxiv",
    "version": 1
  }
}