Pith Number

pith:E2PQMBME

pith:2011:E2PQMBMEB7X6IITX2F4ICRR7RK

not attested not anchored not stored refs pending

Brownian motion on R trees

Anita Winter, Michael Eckhoff, Siva Athreya

arxiv:1102.3215 v2 · 2011-02-16 · 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{E2PQMBMEB7X6IITX2F4ICRR7RK}

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	2026-05-18T04:11:17.914341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

269f0605840fefe42277d17881463f8a82f14c5634838e70056ba78f85c3cd42

Aliases

arxiv: 1102.3215 · arxiv_version: 1102.3215v2 · doi: 10.48550/arxiv.1102.3215 · pith_short_12: E2PQMBMEB7X6 · pith_short_16: E2PQMBMEB7X6IITX · pith_short_8: E2PQMBME

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/E2PQMBMEB7X6IITX2F4ICRR7RK \
  | 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: 269f0605840fefe42277d17881463f8a82f14c5634838e70056ba78f85c3cd42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e4d2174811a4102c5c08b0bdbe40a18a50cf508f6359bb4fea42e7b41d3b00f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-16T01:10:20Z",
    "title_canon_sha256": "6888c0ea30274a4adaaf2d755f871c9b29d3d0099a9528236f32b65962694ffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3215",
    "kind": "arxiv",
    "version": 2
  }
}