Pith Number

pith:GRISKCCI

pith:2026:GRISKCCIET7RMLCPY5ZEVA5EQV

not attested not anchored not stored refs pending

Data-driven Machine Learning Cannot Reach Symbolic-level Logical Reasoning -- The Limit of the Scaling Law

Mateja Jamnik, Pietro Li\`o, Tiansi Dong

arxiv:2606.26454 v1 · 2026-06-24 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRISKCCIET7RMLCPY5ZEVA5EQV}

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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	2026-06-26T00:15:41.712826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

345125084824ff162c4fc7724a83a48558a63a8b0cd9cf504434ea7426d270fa

Aliases

arxiv: 2606.26454 · arxiv_version: 2606.26454v1 · doi: 10.48550/arxiv.2606.26454 · pith_short_12: GRISKCCIET7R · pith_short_16: GRISKCCIET7RMLCP · pith_short_8: GRISKCCI

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/GRISKCCIET7RMLCPY5ZEVA5EQV \
  | 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: 345125084824ff162c4fc7724a83a48558a63a8b0cd9cf504434ea7426d270fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af428c56ed03fe6e93a9b10224a678286f136540c2ec8586b2603f5836aa7e65",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-06-24T23:30:08Z",
    "title_canon_sha256": "aaa8e27506eecd2511fc5e6894082359d7f5b9965ecb31953bab8e978e4d5e0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26454",
    "kind": "arxiv",
    "version": 1
  }
}