Pith Number

pith:J6YJ6SQI

pith:2026:J6YJ6SQI34C44Q6GPDOQAKAI52

not attested not anchored not stored refs pending

How fast does the range of simple random walk grow?

Itai Benjamini, Justin Salez

arxiv:2602.11051 v3 · 2026-02-11 · 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{J6YJ6SQI34C44Q6GPDOQAKAI52}

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	2026-06-02T02:04:51.295069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fb09f4a08df05ce43c678dd002808ee95005fa823f4717252101c262e816845

Aliases

arxiv: 2602.11051 · arxiv_version: 2602.11051v3 · doi: 10.48550/arxiv.2602.11051 · pith_short_12: J6YJ6SQI34C4 · pith_short_16: J6YJ6SQI34C44Q6G · pith_short_8: J6YJ6SQI

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/J6YJ6SQI34C44Q6GPDOQAKAI52 \
  | 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: 4fb09f4a08df05ce43c678dd002808ee95005fa823f4717252101c262e816845

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bca1f8b63ff7dbfd4538438aa3a159ce2f1af0beda298a29a546aa7723b91c58",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-02-11T17:19:58Z",
    "title_canon_sha256": "7061dff8acef98690b21eb2b897006e4d81fdfa5d90bf55b075cc900363412c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.11051",
    "kind": "arxiv",
    "version": 3
  }
}