Pith Number

pith:U4DFKWA2

pith:2012:U4DFKWA2G6YRJ5XKY2SWTUNGLR

not attested not anchored not stored refs pending

Simple random walk on the uniform infinite planar quadrangulation: Subdiffusivity via pioneer points

Itai Benjamini, Nicolas Curien

arxiv:1202.5454 v1 · 2012-02-24 · 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{U4DFKWA2G6YRJ5XKY2SWTUNGLR}

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	2026-05-18T04:01:37.102392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a70655581a37b114f6eac6a569d1a65c47e422ce4e50cf8f4b6eb42f0727fa5c

Aliases

arxiv: 1202.5454 · arxiv_version: 1202.5454v1 · doi: 10.48550/arxiv.1202.5454 · pith_short_12: U4DFKWA2G6YR · pith_short_16: U4DFKWA2G6YRJ5XK · pith_short_8: U4DFKWA2

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/U4DFKWA2G6YRJ5XKY2SWTUNGLR \
  | 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: a70655581a37b114f6eac6a569d1a65c47e422ce4e50cf8f4b6eb42f0727fa5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29d84d4ea9c9f306a8857b9502de16d0fc1097cc5b8b05093b1ceb1ec9ba8e3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-24T14:12:26Z",
    "title_canon_sha256": "4952efbd742357c93ec4aad0572f3c1327d21033b080b311a0582af786b55927"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5454",
    "kind": "arxiv",
    "version": 1
  }
}