Pith Number

pith:WH7THS2N

pith:2026:WH7THS2NCCQMNSZIBYMJVMQ7YD

not attested not anchored not stored refs pending

Open Problem: Is Interaction Necessary for Order-Optimal 1-bit Mean Estimation?

Ivan Lau, Jonathan Scarlett

arxiv:2607.02896 v1 · 2026-07-03 · cs.IT · cs.LG · math.IT · math.ST · stat.ML · 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{WH7THS2NCCQMNSZIBYMJVMQ7YD}

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	2026-07-07T01:16:35.728994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1ff33cb4d10a0c6cb280e189ab21fc0cf7526558d0988cd17867e8b2ea91ffc

Aliases

arxiv: 2607.02896 · arxiv_version: 2607.02896v1 · doi: 10.48550/arxiv.2607.02896 · pith_short_12: WH7THS2NCCQM · pith_short_16: WH7THS2NCCQMNSZI · pith_short_8: WH7THS2N

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/WH7THS2NCCQMNSZIBYMJVMQ7YD \
  | 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: b1ff33cb4d10a0c6cb280e189ab21fc0cf7526558d0988cd17867e8b2ea91ffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83004afaf04fb908c8a52f877f89fcac3deb499c97317ed9a6cb4cca3ca1bd3d",
    "cross_cats_sorted": [
      "cs.LG",
      "math.IT",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-07-03T02:47:11Z",
    "title_canon_sha256": "91a27746d8263ccdea959338ab973749219e66bdb9f785ac79ac85a4a591bb07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02896",
    "kind": "arxiv",
    "version": 1
  }
}