Pith Number

pith:SUS5SXAR

pith:2011:SUS5SXARIE4HWH4MSOKQGTWTT5

not attested not anchored not stored refs pending

Distances in the highly supercritical percolation cluster

Anne-Laure Basdevant (MODAL'X), LPMA), Lucas Gerin (MODAL'X), Nathana\"el Enriquez (MODAL'X

arxiv:1111.2302 v2 · 2011-11-09 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SUS5SXARIE4HWH4MSOKQGTWTT5}

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	2026-05-18T03:44:24.445738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9525d95c1141387b1f8c9395034ed39f5777f822ef6381e2e924833d97e358cf

Aliases

arxiv: 1111.2302 · arxiv_version: 1111.2302v2 · doi: 10.48550/arxiv.1111.2302 · pith_short_12: SUS5SXARIE4H · pith_short_16: SUS5SXARIE4HWH4M · pith_short_8: SUS5SXAR

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/SUS5SXARIE4HWH4MSOKQGTWTT5 \
  | 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: 9525d95c1141387b1f8c9395034ed39f5777f822ef6381e2e924833d97e358cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14cf047eb21bdf1be22d9b274e32a0be71bcdc4b13ec9d8cbb9cc526c0cf9d30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-09T18:29:49Z",
    "title_canon_sha256": "263a756a9176271bec9cfa621435c9bc71f74a88c7c995747b8183087843289a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2302",
    "kind": "arxiv",
    "version": 2
  }
}