Pith Number

pith:2IAMVTQ6

pith:2025:2IAMVTQ6I2JSDDFPJM25HYLT53

not attested not anchored not stored refs pending

Fast, Space-Optimal Streaming Algorithms for Clustering and Subspace Embeddings

David P. Woodruff, Liudeng Wang, Samson Zhou, Vincent Cohen-Addad

arxiv:2504.16229 v1 · 2025-04-22 · 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{2IAMVTQ6I2JSDDFPJM25HYLT53}

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	2026-07-05T10:52:43.545821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d200cace1e4693218caf4b35d3e173eee6a91940ebf0c81f4419864769dd7440

Aliases

arxiv: 2504.16229 · arxiv_version: 2504.16229v1 · doi: 10.48550/arxiv.2504.16229 · pith_short_12: 2IAMVTQ6I2JS · pith_short_16: 2IAMVTQ6I2JSDDFP · pith_short_8: 2IAMVTQ6

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/2IAMVTQ6I2JSDDFPJM25HYLT53 \
  | 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: d200cace1e4693218caf4b35d3e173eee6a91940ebf0c81f4419864769dd7440

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "421fdd1b0181d144521215ea7fbc98838670a3ff98dc3abae2f6ba531f2b07f4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2025-04-22T19:49:52Z",
    "title_canon_sha256": "689b76b1631f2a721788de85eaae5a8fb3188867353496d502f10418487ea4b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16229",
    "kind": "arxiv",
    "version": 1
  }
}