Pith Number

pith:BCU5BSVX

pith:2011:BCU5BSVXVLL3VZ5ZSYKFQYISD5

not attested not anchored not stored refs pending

Planar percolation with a glimpse of Schramm-Loewner Evolution

Hugo Duminil-Copin, Vincent Beffara (UMPA-ENSL)

arxiv:1107.0158 v3 · 2011-07-01 · math.PR · 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{BCU5BSVXVLL3VZ5ZSYKFQYISD5}

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	2026-05-18T03:21:33.864152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08a9d0cab7aad7bae7b996145861121f7e4bb4946d2023aee688ba9aa788bbf8

Aliases

arxiv: 1107.0158 · arxiv_version: 1107.0158v3 · doi: 10.48550/arxiv.1107.0158 · pith_short_12: BCU5BSVXVLL3 · pith_short_16: BCU5BSVXVLL3VZ5Z · pith_short_8: BCU5BSVX

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/BCU5BSVXVLL3VZ5ZSYKFQYISD5 \
  | 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: 08a9d0cab7aad7bae7b996145861121f7e4bb4946d2023aee688ba9aa788bbf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4da09f6f1017d87c79769467f0630fb3e3f506688c2fd22f1f5854dd701cbe2",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-01T09:19:15Z",
    "title_canon_sha256": "c82b76155ed15dff840b38b0fa1121b44b145dfcfc1bf6bb4e89316e5ce7bb10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0158",
    "kind": "arxiv",
    "version": 3
  }
}