Pith Number

pith:TL7BAUAB

pith:2011:TL7BAUAB66JMNWNJQVORVVA2MR

not attested not anchored not stored refs pending

Continuum percolation in high dimensions

Jean-Baptiste Gou\'er\'e (MAPMO), Regine Marchand (IECL)

arxiv:1108.6133 v2 · 2011-08-31 · 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{TL7BAUAB66JMNWNJQVORVVA2MR}

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	2026-05-18T03:30:26.054384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9afe105001f792c6d9a9855d1ad41a644be5fb3138fea27c922c737946ad1cb4

Aliases

arxiv: 1108.6133 · arxiv_version: 1108.6133v2 · doi: 10.48550/arxiv.1108.6133 · pith_short_12: TL7BAUAB66JM · pith_short_16: TL7BAUAB66JMNWNJ · pith_short_8: TL7BAUAB

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/TL7BAUAB66JMNWNJQVORVVA2MR \
  | 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: 9afe105001f792c6d9a9855d1ad41a644be5fb3138fea27c922c737946ad1cb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98d7e72d0f9943e753a6351aa4ed5715c8d0a48ffd886dede008bc32c34b9b58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-31T06:44:54Z",
    "title_canon_sha256": "3f835d8d1dbe8396cd312402d649d1583cd3d6b2ecdddaa054fc756db898eed9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6133",
    "kind": "arxiv",
    "version": 2
  }
}