Pith Number

pith:JMH56MYW

pith:2026:JMH56MYWFGRMY5WH3HRFLKX6VK

not attested not anchored not stored refs pending

The Expressive Power of Low Precision Softmax Transformers with (Summarized) Chain-of-Thought

Moritz Br\"osamle, Stephan Eckstein

arxiv:2605.18079 v1 · 2026-05-18 · cs.LG · cs.CC · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JMH56MYWFGRMY5WH3HRFLKX6VK}

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	2026-05-20T00:05:14.947293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b0fdf331629a2cc76c7d9e255aafeaaacf93b796974b62a8d3b0ce8db868cc2

Aliases

arxiv: 2605.18079 · arxiv_version: 2605.18079v1 · doi: 10.48550/arxiv.2605.18079 · pith_short_12: JMH56MYWFGRM · pith_short_16: JMH56MYWFGRMY5WH · pith_short_8: JMH56MYW

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/JMH56MYWFGRMY5WH3HRFLKX6VK \
  | 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: 4b0fdf331629a2cc76c7d9e255aafeaaacf93b796974b62a8d3b0ce8db868cc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55f56a423ba516fb3227ec00d1baf18b9e957dfd34a400d90fdf3398c922e1f6",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.CL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-18T08:57:53Z",
    "title_canon_sha256": "4c7113d08ce9cfb3d731de56e24ada17bc207490b653de9b2a9d649d991d67b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18079",
    "kind": "arxiv",
    "version": 1
  }
}