Pith Number

pith:2LCZ7CXC

pith:2009:2LCZ7CXCIK7FWA2T2BWPSPHONP

not attested not anchored not stored refs pending

Limit theorems for random spatial drainage networks

Andrew R. Wade, Mathew D. Penrose

arxiv:0901.3297 v1 · 2009-01-21 · 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{2LCZ7CXCIK7FWA2T2BWPSPHONP}

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	2026-05-18T04:41:36.850445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2c59f8ae242be5b0353d06cf93cee6bd4fdb75c6f0623eab6a269e8d8dbad7f

Aliases

arxiv: 0901.3297 · arxiv_version: 0901.3297v1 · doi: 10.48550/arxiv.0901.3297 · pith_short_12: 2LCZ7CXCIK7F · pith_short_16: 2LCZ7CXCIK7FWA2T · pith_short_8: 2LCZ7CXC

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/2LCZ7CXCIK7FWA2T2BWPSPHONP \
  | 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: d2c59f8ae242be5b0353d06cf93cee6bd4fdb75c6f0623eab6a269e8d8dbad7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e136d478f1fd62a8ccd321d67b30aab3c4877b73ee36f9d0770466becc686186",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-01-21T15:53:25Z",
    "title_canon_sha256": "20f2b1ec0a949aa6cf0fe46a55fd4d51bba7ae047669f716f8ceb7231b13fcf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3297",
    "kind": "arxiv",
    "version": 1
  }
}