Pith Number

pith:HCW3CMOH

pith:2022:HCW3CMOHIEYRLU2533DBDVLESS

not attested not anchored not stored refs pending

On the recent-$k$-record of discrete random variables

Anshui Li

arxiv:2208.06791 v1 · 2022-08-14 · 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{HCW3CMOHIEYRLU2533DBDVLESS}

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.

Cited by

1 paper in Pith

Muon Optimizer Accelerates Grokking

Receipt and verification

First computed	2026-07-05T04:48:20.756960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38adb131c7413115d35ddec611d56494b029d6a7d78dbcdc58b5a6f231c8aa1b

Aliases

arxiv: 2208.06791 · arxiv_version: 2208.06791v1 · doi: 10.48550/arxiv.2208.06791 · pith_short_12: HCW3CMOHIEYR · pith_short_16: HCW3CMOHIEYRLU25 · pith_short_8: HCW3CMOH

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/HCW3CMOHIEYRLU2533DBDVLESS \
  | 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: 38adb131c7413115d35ddec611d56494b029d6a7d78dbcdc58b5a6f231c8aa1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb304f036ea98c522047199871981b30ae161b64867f4b428d46d3e3f6eef18c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-08-14T06:29:09Z",
    "title_canon_sha256": "672e18f4cecdd6a3bf44c78deb301ea238868e10233a76ef7d97f398fc55fd11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.06791",
    "kind": "arxiv",
    "version": 1
  }
}