Pith Number

pith:2HCTZXT4

pith:2025:2HCTZXT45C7BMKMKGP6QRQRDLB

not attested not anchored not stored refs pending

Provable Failure of Language Models in Learning Majority Boolean Logic via Gradient Descent

Bo Chen, Jiahao Zhang, Zhao Song, Zhenmei Shi

arxiv:2504.04702 v1 · 2025-04-07 · cs.LG · cs.AI · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HCTZXT45C7BMKMKGP6QRQRDLB}

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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.

Cited by

1 paper in Pith

Minimalist Softmax Attention Provably Learns Constrained Boolean Functions

Receipt and verification

First computed	2026-07-05T10:45:28.638284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1c53cde7ce8be16298a33fd08c2235871494c52326185be359d1944192ab432

Aliases

arxiv: 2504.04702 · arxiv_version: 2504.04702v1 · doi: 10.48550/arxiv.2504.04702 · pith_short_12: 2HCTZXT45C7B · pith_short_16: 2HCTZXT45C7BMKMK · pith_short_8: 2HCTZXT4

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/2HCTZXT45C7BMKMKGP6QRQRDLB \
  | 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: d1c53cde7ce8be16298a33fd08c2235871494c52326185be359d1944192ab432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8534ce347f3a1f0afcf024196bac7cb60d646f976a92b8d5866743384e2bdd24",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-04-07T03:08:12Z",
    "title_canon_sha256": "d41e9c21859bbc806552e981c1b3f229b602b9a597fe7f58ccbd28f52da08d23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.04702",
    "kind": "arxiv",
    "version": 1
  }
}