Pith Number

pith:HHSKPRTF

pith:2026:HHSKPRTFPLOW2LLHYOFCZSQU7Z

not attested not anchored not stored refs pending

How Deep Are Deep GPs, Really? A Sharp Threshold and a Non-Gaussian Limit for Compositional GPs

Mark Kozdoba, Shie Mannor

arxiv:2606.08218 v1 · 2026-06-06 · cs.LG · cs.AI · 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{HHSKPRTFPLOW2LLHYOFCZSQU7Z}

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	2026-06-09T01:05:30.394228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39e4a7c6657add6d2d67c38a2cca14fe6dce8e6a8d1cde4e61a09dbba4941497

Aliases

arxiv: 2606.08218 · arxiv_version: 2606.08218v1 · doi: 10.48550/arxiv.2606.08218 · pith_short_12: HHSKPRTFPLOW · pith_short_16: HHSKPRTFPLOW2LLH · pith_short_8: HHSKPRTF

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/HHSKPRTFPLOW2LLHYOFCZSQU7Z \
  | 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: 39e4a7c6657add6d2d67c38a2cca14fe6dce8e6a8d1cde4e61a09dbba4941497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d9ba7dab09f6d3a4727c2805be6f7300ed1b16315373ca724be38d003e2a76e",
    "cross_cats_sorted": [
      "cs.AI",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-06T15:12:43Z",
    "title_canon_sha256": "1e764acf1508e3983b88b6e235873ccf8ff09f6494d173b3b374023de678b89e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08218",
    "kind": "arxiv",
    "version": 1
  }
}