Pith Number

pith:2VGF4Z3Z

pith:2018:2VGF4Z3ZCVYIWFVFLHHOD6GNUP

not attested not anchored not stored refs pending

Stable limit laws for random walk in a sparse random environment I: moderate sparsity

Alexander Iksanov, Alexander Marynych, Alexander Roitershtein, Dariusz Buraczewski, Piotr Dyszewski

arxiv:1804.10633 v1 · 2018-04-27 · 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{2VGF4Z3ZCVYIWFVFLHHOD6GNUP}

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	2026-05-18T00:17:16.044334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d54c5e677915708b16a559cee1f8cda3f98fd5ba70d76d872be7b506827641a8

Aliases

arxiv: 1804.10633 · arxiv_version: 1804.10633v1 · doi: 10.48550/arxiv.1804.10633 · pith_short_12: 2VGF4Z3ZCVYI · pith_short_16: 2VGF4Z3ZCVYIWFVF · pith_short_8: 2VGF4Z3Z

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/2VGF4Z3ZCVYIWFVFLHHOD6GNUP \
  | 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: d54c5e677915708b16a559cee1f8cda3f98fd5ba70d76d872be7b506827641a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "309dc4a20a7580f867dfef543eaf79da3ab763f08cf14c16c263873a41aa2c04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-27T18:17:16Z",
    "title_canon_sha256": "5fcc893ba1d2359943ebc48bd9baf35a15675b3632aba24fc41ae9f42c700c0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10633",
    "kind": "arxiv",
    "version": 1
  }
}