Pith Number

pith:NCX5NFE6

pith:2011:NCX5NFE62GVS2SQL5CDNZANIUI

not attested not anchored not stored refs pending

On the scaling limits of planar percolation

Oded Schramm, Stanislav Smirnov

arxiv:1101.5820 v2 · 2011-01-30 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCX5NFE62GVS2SQL5CDNZANIUI}

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	2026-05-18T04:05:38.866601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68afd6949ed1ab2d4a0be886dc81a8a204b6bd01e0d44e7dc450354157dd2d96

Aliases

arxiv: 1101.5820 · arxiv_version: 1101.5820v2 · doi: 10.48550/arxiv.1101.5820 · pith_short_12: NCX5NFE62GVS · pith_short_16: NCX5NFE62GVS2SQL · pith_short_8: NCX5NFE6

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/NCX5NFE62GVS2SQL5CDNZANIUI \
  | 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: 68afd6949ed1ab2d4a0be886dc81a8a204b6bd01e0d44e7dc450354157dd2d96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f6ef671a41b91f9c56251ee589a8639224927dcba4ebeb9ba1dcc0e8582faea",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-30T21:08:19Z",
    "title_canon_sha256": "1c5ee737ff9b638a2b2578fc8d63a2f23c817f2ba657ce2d1adfa990d8f10910"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5820",
    "kind": "arxiv",
    "version": 2
  }
}