Pith Number

pith:3WYSWB5O

pith:2017:3WYSWB5ON4E3JMUPQAGH7VPBSN

not attested not anchored not stored refs pending

Quenched Central Limit Theorem for Random Walks in Doubly Stochastic Random Environment

B\'alint T\'oth

arxiv:1704.06072 v3 · 2017-04-20 · 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{3WYSWB5ON4E3JMUPQAGH7VPBSN}

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	2026-05-18T00:33:59.188416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddb12b07ae6f09b4b28f800c7fd5e193614abb9ba4cd7768052135511329aeec

Aliases

arxiv: 1704.06072 · arxiv_version: 1704.06072v3 · doi: 10.48550/arxiv.1704.06072 · pith_short_12: 3WYSWB5ON4E3 · pith_short_16: 3WYSWB5ON4E3JMUP · pith_short_8: 3WYSWB5O

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/3WYSWB5ON4E3JMUPQAGH7VPBSN \
  | 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: ddb12b07ae6f09b4b28f800c7fd5e193614abb9ba4cd7768052135511329aeec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed4ec7367ed27acfbd562b768ed0a32370c6c380929d7675cbe0b1a75045d345",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-04-20T10:06:40Z",
    "title_canon_sha256": "c3fdf4e3009a5ecd9e59f9587d7fc0178eb0d970f7e31373aacd9f93566f1cfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06072",
    "kind": "arxiv",
    "version": 3
  }
}