Pith Number

pith:QWTAKZYK

pith:2018:QWTAKZYKGY5P3Q5MF5FSHOPN2W

not attested not anchored not stored refs pending

Nearly Optimal Distinct Elements and Heavy Hitters on Sliding Windows

David P. Woodruff, Elena Grigorescu, Harry Lang, Samson Zhou, Vladimir Braverman

arxiv:1805.00212 v3 · 2018-05-01 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWTAKZYKGY5P3Q5MF5FSHOPN2W}

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

Tight Bounds for Heavy-Hitters and Moment Estimation in the Sliding Window Model

Receipt and verification

First computed	2026-07-05T05:59:30.300465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85a605670a363afdc3ac2f4b23b9edd5ab1562e16bce1c323a742c066f32f724

Aliases

arxiv: 1805.00212 · arxiv_version: 1805.00212v3 · doi: 10.48550/arxiv.1805.00212 · pith_short_12: QWTAKZYKGY5P · pith_short_16: QWTAKZYKGY5P3Q5M · pith_short_8: QWTAKZYK

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/QWTAKZYKGY5P3Q5MF5FSHOPN2W \
  | 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: 85a605670a363afdc3ac2f4b23b9edd5ab1562e16bce1c323a742c066f32f724

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "035262682ee61a2a5f68af164a52e8c60e72083678e8b926bd7a3921f2a88fb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-05-01T06:56:10Z",
    "title_canon_sha256": "926929d457edcc93f7a2fdf1b3a4fb4a65fe69012c7c2f457579ba2650e16d4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00212",
    "kind": "arxiv",
    "version": 3
  }
}