Pith Number

pith:4RRU2IDN

pith:2026:4RRU2IDNBZUGZ266TJRZ6XJQE6

not attested not anchored not stored refs pending

Statistically Indistinguishable, Operationally Distinct: A Formal Barrier for Tabular Foundation Models

Johannes Hoffart, Tassilo Klein

arxiv:2606.29091 v1 · 2026-06-27 · cs.LG · cs.AI · cs.DB

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4RRU2IDNBZUGZ266TJRZ6XJQE6}

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	2026-06-30T01:17:52.507050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4634d206d0e686cebde9a639f5d3027acb86c1c023e7f41e827cf6134e8b509

Aliases

arxiv: 2606.29091 · arxiv_version: 2606.29091v1 · doi: 10.48550/arxiv.2606.29091 · pith_short_12: 4RRU2IDNBZUG · pith_short_16: 4RRU2IDNBZUGZ266 · pith_short_8: 4RRU2IDN

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/4RRU2IDNBZUGZ266TJRZ6XJQE6 \
  | 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: e4634d206d0e686cebde9a639f5d3027acb86c1c023e7f41e827cf6134e8b509

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b0a384ae6db2e4588ee4501d72f4012c61818db8c472c3f793b9d982e89cd8a",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.DB"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-27T21:14:06Z",
    "title_canon_sha256": "a6d489a8942972077569abd94cab3c44730dae8681a0fd358ad89ecf5995740e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29091",
    "kind": "arxiv",
    "version": 1
  }
}