Pith Number

pith:5P6D6MVE

pith:2025:5P6D6MVEFB54XGBA3YGSC6HQRB

not attested not anchored not stored refs pending

On Fine-Grained Distinct Element Estimation

Daniel M. Kane, David P. Woodruff, Ilias Diakonikolas, Jasper C.H. Lee, Samson Zhou, Thanasis Pittas

arxiv:2506.22608 v1 · 2025-06-27 · 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{5P6D6MVEFB54XGBA3YGSC6HQRB}

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	2026-07-05T11:28:41.730332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebfc3f32a4287bcb9820de0d2178f0884e8a14d00603980e30371f1e0e984b1d

Aliases

arxiv: 2506.22608 · arxiv_version: 2506.22608v1 · doi: 10.48550/arxiv.2506.22608 · pith_short_12: 5P6D6MVEFB54 · pith_short_16: 5P6D6MVEFB54XGBA · pith_short_8: 5P6D6MVE

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/5P6D6MVEFB54XGBA3YGSC6HQRB \
  | 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: ebfc3f32a4287bcb9820de0d2178f0884e8a14d00603980e30371f1e0e984b1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75cbbfa8170b4df849082813abc3a4098c9fd2984bc0b30ad029ec7f23ed9b33",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2025-06-27T20:13:44Z",
    "title_canon_sha256": "179fe763c163d9138594df5fabbae10de6fba46e6db5c8144f3db9ef5f49b55c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22608",
    "kind": "arxiv",
    "version": 1
  }
}