Pith Number

pith:OPJE5DZB

pith:2026:OPJE5DZB3SJD2AOTCXWAI7NQJZ

not attested not anchored not stored refs pending

Beyond Averaging in John Ellipsoid Approximation: High-Accuracy Algorithms in the Leverage-Score Model

Andi Han, Jiaojiao Jiang, Junbin Gao, Junwei Yu, Xiaoyu Li

arxiv:2606.20082 v1 · 2026-06-18 · math.OC · cs.DS · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPJE5DZB3SJD2AOTCXWAI7NQJZ}

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	2026-06-19T16:13:02.371017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73d24e8f21dc923d01d315ec047db04e6c89524588ae8df5deb70c58c8374153

Aliases

arxiv: 2606.20082 · arxiv_version: 2606.20082v1 · doi: 10.48550/arxiv.2606.20082 · pith_short_12: OPJE5DZB3SJD · pith_short_16: OPJE5DZB3SJD2AOT · pith_short_8: OPJE5DZB

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/OPJE5DZB3SJD2AOTCXWAI7NQJZ \
  | 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: 73d24e8f21dc923d01d315ec047db04e6c89524588ae8df5deb70c58c8374153

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a23570ce9c0b974caee57c25a5927a0d3a3aef127c99379bfac50d7151cc7dc5",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-18T11:00:03Z",
    "title_canon_sha256": "09c206c334e53db32ae3ba7024d9381195899c0f9b87449ec0e7cde9cd432c1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20082",
    "kind": "arxiv",
    "version": 1
  }
}