Pith Number

pith:TO7NISBZ

pith:2017:TO7NISBZFGBVQHJIM33XVZPAA5

not attested not anchored not stored refs pending

Central Limit Theorem for Random Walks in Doubly Stochastic Random Environment: $\mathcal{H}_{-1}$ Suffices

B\'alint T\'oth, Gady Kozma

arxiv:1702.06905 v1 · 2017-02-22 · math.PR

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TO7NISBZFGBVQHJIM33XVZPAA5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:50:10.156229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bbed448392983581d2866f77ae5e0076ae3a870d3679d3956bef409ca4ad70f

Aliases

arxiv: 1702.06905 · arxiv_version: 1702.06905v1 · doi: 10.48550/arxiv.1702.06905 · pith_short_12: TO7NISBZFGBV · pith_short_16: TO7NISBZFGBVQHJI · pith_short_8: TO7NISBZ

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/TO7NISBZFGBVQHJIM33XVZPAA5 \
  | 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: 9bbed448392983581d2866f77ae5e0076ae3a870d3679d3956bef409ca4ad70f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fee6aae012aeed5715760dfdbc814dc997d0cf6a10f4500c7ed57a900f8b31b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-02-22T17:30:23Z",
    "title_canon_sha256": "7380590797c61ba45780b4b38e0025d955e9acac329ccda47f961fb25b5353c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06905",
    "kind": "arxiv",
    "version": 1
  }
}