Pith Number

pith:6C6Y5QS2

pith:2026:6C6Y5QS2A23IYPVLNES6OLNUTG

not attested not anchored not stored refs pending

Law of the Iterated Logarithm for $p$-Walks on $\mathbb{Z}$

Robin Kaiser

arxiv:2606.19131 v1 · 2026-06-17 · 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{6C6Y5QS2A23IYPVLNES6OLNUTG}

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	2026-06-19T16:11:57.416636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0bd8ec25a06b68c3eab6925e72db499b1c14fc639eab56399583eb3756c89ba

Aliases

arxiv: 2606.19131 · arxiv_version: 2606.19131v1 · doi: 10.48550/arxiv.2606.19131 · pith_short_12: 6C6Y5QS2A23I · pith_short_16: 6C6Y5QS2A23IYPVL · pith_short_8: 6C6Y5QS2

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/6C6Y5QS2A23IYPVLNES6OLNUTG \
  | 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: f0bd8ec25a06b68c3eab6925e72db499b1c14fc639eab56399583eb3756c89ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aed276f2983d2e42efd5770221cea3b9a0aa7245cd14a67243a7af6f3a2ad1b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-17T14:42:30Z",
    "title_canon_sha256": "6f853de3e6b22688192dbc04729261b48b33ef0707456485480880c74639779f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19131",
    "kind": "arxiv",
    "version": 1
  }
}