Pith Number

pith:WF2WEVD2

pith:2011:WF2WEVD22V65VXV7HYY5LTKKVM

not attested not anchored not stored refs pending

Ordinary Percolation with Discontinuous Transitions

R. M. Ziff (Michigan U), S. Boettcher, V. Singh (Emory U)

arxiv:1110.4288 v2 · 2011-10-19 · 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{WF2WEVD22V65VXV7HYY5LTKKVM}

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	2026-05-18T03:43:42.474913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b17562547ad57ddadebf3e31d5cd4aab057effd0b0e4f718d12da0b865695c77

Aliases

arxiv: 1110.4288 · arxiv_version: 1110.4288v2 · doi: 10.48550/arxiv.1110.4288 · pith_short_12: WF2WEVD22V65 · pith_short_16: WF2WEVD22V65VXV7 · pith_short_8: WF2WEVD2

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/WF2WEVD22V65VXV7HYY5LTKKVM \
  | 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: b17562547ad57ddadebf3e31d5cd4aab057effd0b0e4f718d12da0b865695c77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1e43d45f70c3d2d44b84c8b7bdbd4443dc73eb68c215e53a4c6050e1f9a8d7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2011-10-19T13:59:37Z",
    "title_canon_sha256": "8d0b7d6c231855e9845edd8a9ce8c73143d4c9e472caa62f59e8bc2bb60ee4fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4288",
    "kind": "arxiv",
    "version": 2
  }
}