Pith Number

pith:7A3H3H6N

pith:2023:7A3H3H6NNVNOTEHFY7K33V74KS

not attested not anchored not stored refs pending

Hutchinson's Estimator is Bad at Kronecker-Trace-Estimation

Haim Avron, Raphael A. Meyer

arxiv:2309.04952 v2 · 2023-09-10 · cs.DS · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7A3H3H6NNVNOTEHFY7K33V74KS}

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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

Efficient DP-SGD for LLMs with Randomized Clipping

Receipt and verification

First computed	2026-07-05T10:07:38.394087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8367d9fcd6d5ae990e5c7d5bdd7fc54939405041773045880026643b5aac9dc

Aliases

arxiv: 2309.04952 · arxiv_version: 2309.04952v2 · doi: 10.48550/arxiv.2309.04952 · pith_short_12: 7A3H3H6NNVNO · pith_short_16: 7A3H3H6NNVNOTEHF · pith_short_8: 7A3H3H6N

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/7A3H3H6NNVNOTEHFY7K33V74KS \
  | 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: f8367d9fcd6d5ae990e5c7d5bdd7fc54939405041773045880026643b5aac9dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a802c4ad10b56d0002b9952dca0d7e77281671b081874b223998ecce3c216d2",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2023-09-10T07:48:03Z",
    "title_canon_sha256": "473545528e7c075254176395eb65a10ac59b4375fcfa555ef72c92877dd9b2ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.04952",
    "kind": "arxiv",
    "version": 2
  }
}