Pith Number

pith:UWH64PTZ

pith:2016:UWH64PTZC62GCJROHNKAZJD6WA

not attested not anchored not stored refs pending

Limit theorems for local and occupation times of random walks and Brownian motion on a spider

Antonia Foldes, Endre Csaki, Miklos Csorgo, Pal Revesz

arxiv:1609.08710 v2 · 2016-09-27 · 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{UWH64PTZC62GCJROHNKAZJD6WA}

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	2026-05-18T00:44:42.387236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a58fee3e7917b461262e3b540ca47eb02eb04ab233d97058fecc389f0b4f76a3

Aliases

arxiv: 1609.08710 · arxiv_version: 1609.08710v2 · doi: 10.48550/arxiv.1609.08710 · pith_short_12: UWH64PTZC62G · pith_short_16: UWH64PTZC62GCJRO · pith_short_8: UWH64PTZ

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/UWH64PTZC62GCJROHNKAZJD6WA \
  | 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: a58fee3e7917b461262e3b540ca47eb02eb04ab233d97058fecc389f0b4f76a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e87901e219c91f255804cbd38363c67b387a208fc021c6ee892251b97eb37a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-27T23:51:06Z",
    "title_canon_sha256": "c5ad0a5d9384112830274f82272de604bd144d409e41ec1221bd4b64b5cc21da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08710",
    "kind": "arxiv",
    "version": 2
  }
}