Pith Number

pith:W47VNSLR

pith:2021:W47VNSLR3HFL6IT6JCCLKZ4YQJ

not attested not anchored not stored refs pending

Optimal Sketching for Trace Estimation

David P. Woodruff, Hai Pham, Qiuyi (Richard) Zhang, Shuli Jiang

arxiv:2111.00664 v1 · 2021-11-01 · 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{W47VNSLR3HFL6IT6JCCLKZ4YQJ}

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	2026-07-05T03:27:45.465660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b73f56c971d9cabf227e4884b56798825a52f5977d00fae89b5aa74d9e5aa9c3

Aliases

arxiv: 2111.00664 · arxiv_version: 2111.00664v1 · doi: 10.48550/arxiv.2111.00664 · pith_short_12: W47VNSLR3HFL · pith_short_16: W47VNSLR3HFL6IT6 · pith_short_8: W47VNSLR

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/W47VNSLR3HFL6IT6JCCLKZ4YQJ \
  | 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: b73f56c971d9cabf227e4884b56798825a52f5977d00fae89b5aa74d9e5aa9c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6602eea664e05f4df59acfc93c2b8196ad7d5a37c0b07bb88e6319b19a82746a",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2021-11-01T02:36:18Z",
    "title_canon_sha256": "90474a73b001abd7b42a7bb09e9230b168a1ce83f4b35da01135d3b1904f791d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.00664",
    "kind": "arxiv",
    "version": 1
  }
}