Pith Number

pith:HUVSDZTM

pith:2026:HUVSDZTMXUYIRR3UZHW24YG7OY

not attested not anchored not stored refs pending

Tight list replicability bounds via a novel sphere covering theorem

Ari Blondal, Chavdar Lalov, Hamed Hatami, Pooya Hatami, Sivan Tretiak

arxiv:2606.06148 v1 · 2026-06-04 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HUVSDZTMXUYIRR3UZHW24YG7OY}

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	2026-06-05T01:15:35.264804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d2b21e66cbd3088c774c9edae60df761d39101480b34430a6509b1567fc71ad

Aliases

arxiv: 2606.06148 · arxiv_version: 2606.06148v1 · doi: 10.48550/arxiv.2606.06148 · pith_short_12: HUVSDZTMXUYI · pith_short_16: HUVSDZTMXUYIRR3U · pith_short_8: HUVSDZTM

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/HUVSDZTMXUYIRR3UZHW24YG7OY \
  | 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: 3d2b21e66cbd3088c774c9edae60df761d39101480b34430a6509b1567fc71ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f0113fd79341099de38e5d189b156f9ce5f9afa2a40a8e38e93fa47bd01639a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-04T13:24:05Z",
    "title_canon_sha256": "83c8d2ed06dbaf5e660d30feee9a500180a870685b1e7a9cb804f2b8af48ae84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06148",
    "kind": "arxiv",
    "version": 1
  }
}