Pith Number

pith:HCC4VJFG

pith:2026:HCC4VJFG5JHIUAIUL6SUS5O5UL

not attested not anchored not stored refs pending

Tight $L_\infty$ Sample Complexity for Low-Degree and Sparse Boolean Polynomials

Jasper van Doornmalen, Jos\'e Verschae, Mathieu Molina, Victor Verdugo

arxiv:2606.17319 v1 · 2026-06-15 · stat.ML · cs.LG · math.CO · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCC4VJFG5JHIUAIUL6SUS5O5UL}

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	2026-06-19T16:10:08.893291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3885caa4a6ea4e8a01145fa54975dda2d8c7684edad54e0b37422997b5457e26

Aliases

arxiv: 2606.17319 · arxiv_version: 2606.17319v1 · doi: 10.48550/arxiv.2606.17319 · pith_short_12: HCC4VJFG5JHI · pith_short_16: HCC4VJFG5JHIUAIU · pith_short_8: HCC4VJFG

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/HCC4VJFG5JHIUAIUL6SUS5O5UL \
  | 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: 3885caa4a6ea4e8a01145fa54975dda2d8c7684edad54e0b37422997b5457e26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffb9a999093f050877ca9a77ad1363aba5c759825c094302cdf7a21ceb535201",
    "cross_cats_sorted": [
      "cs.LG",
      "math.CO",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-06-15T22:00:03Z",
    "title_canon_sha256": "9c5dd3be63ec5bc3b90c61503aa4ec953e08840fa4cfacac30a826cd51eb46b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17319",
    "kind": "arxiv",
    "version": 1
  }
}